Bab. Dinamika Gerak. A. Gaya Memengaruhi Gerak Benda B. Penerapan Hukum Newton. Hasil yang harus Anda capai:

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(1)Bab. 5 Sumber: Bergulir dan Mengalir,2004. Setelah melewati garis finish, pelari memperlambat laju larinya.. Dinamika Gerak Hasil yang harus Anda capai: menerapkan konsep dan prinsip dasar kinematika dan dinamika benda titik.. Setelah mempelajari bab ini, Anda harus mampu: menerapkan Hukum Newton sebagai prinsip dasar dinamika untuk gerak lurus, gerak vertikal, dan gerak melingkar beraturan.. %6D:<2 >6?56<2D: 82B:C $( A6=2B: 2<2? >6>A6B46A2D =2B:?H2 ,6D6=29 >6=6G2D: 82B:C $( 5:2 2<2? >6>A6B=2>32D =2B:?H2 A2<29 H2?8 >6>A6B46A2D 52? >6>A6B=2>32D 86B2< A6=2B: D6BC63ED : ,'* ?52 D6=29 >6>A6=2;2B: 86B2< 52? 9E<E>9E<E> (6GD@? D6?D2?886B2< 2=2><69:5EA2?C692B:92B:?52D:52<A6B?29D6B=6A2C 52B:86B2< ,6@B2?82?2<36B=2B:>6?86;2B3@=2?5236B;2=2?<6C6<@=29 52? 3EC 36B86B2< >6?:?882=<2? D6B>:?2= >6BEA2<2? 3636B2A2 4@?D@9 86B2< A2<29 C636?2B?H2 H2?8 >6?H6323<2? 36?52 36B86B2< >2D:=29 36?5236?52 36B86B2< 5: C6<:D2B ?52 >:C2=?H2 >@3:= C6A652 >@D@B 52? 36?52 H2?8 36B2HE? A252 C6ED2C D2=: 282:>2?2<29 :C:<2 >6?;6=2C<2? D6B;25:?H2 86B2< ?52 2<2? >6>292>:?H2 C6D6=29 >6>A6=2;2B: 323 :?:. A. Gaya Memengaruhi Gerak Benda B. Penerapan Hukum Newton. 83.

(2) Tes Kompetensi Awal $!$*2++$+.$* ( /')-,0$.', +') $/ ))$/( ) ,* &0- *0- *!$/')21# * +!2)2* 1'& ,

(3) A2H2?8?52<6D29E:D6?D2?882H2 2A2D<29C63E2936?5236B86B2<;:<2D:52<25282H2 A2<29A6B2?2?86B2<52=2><69:5EA2?C692B:92B: H2?836<6B;2A25236?52D6BC63ED 282:>2?2 9E3E?82? 2?D2B2 82H2 >2CC2 52? -E=:C<2?=294@?D@986B2<52=2><69:5EA2?C692B:92B:C6BD2 A6B46A2D2? C63ED<2?82H2H2?8>6>6?82BE9:86B2<2?36?52D6BC63ED. Tokoh A. Gaya Memengaruhi Gerak Benda Sir Isaac Newton (1642 – 1727). *25223?52D6=29>6>A6=2;2B:86B2<CE2DE36?52D2?A2>6=:92D 2A2H2?8>6?H6323<2?86B2<36?52D6BC63ED ,E3323:?:2<2?>6>3292C A6?H6323 52B: 86B2< *252AB:?C:A?H2H2?8>6>6?82BE9:86B2<CE2DE36?52252=2982H2 2 =2>:=>E :C:<282H2>6BEA2<2?<@?C6AH2?8C2?82DA6?D:?8 523636B2A2 >242>82H2H2?8C6B:?85:;E>A2:>:C2=?H282H236B2D82H2@D@D52?82H2A682C "E3E?82?2?D2B286B2<36?5256?82?82H2H2?8>6>6?82BE9:36?52 D6BC63ED 5:3292C 5: 52=2> 9E<E>9E<E> (6GD@? D6?D2?8 86B2<. 1. Hukum I Newton. Sir Isaac Newton lahir di Woolsthorpe, Lincolnshire, Inggris pada 25 Desember 1642. Pada 1661, Newton berkesempatan belajar di Trinity College, Cambridge, dan lulus pada 1665. Penemuannya antara lain dalam bidang matematika jenis baru saat itu, yakni kalkulus, penemuan dalam bidang cahaya dan warna, dan hukum-hukum tentang gerak termasuk hukum gravitasi. Hukum-hukum tentang gerak yang menghebohkan ialah rumusan dalam jurnalnya yang terkenal, Philosophiae Naturalis Principia Mathematica atau disebut juga Principia.. ,6D:2A 36?52 >6>:=:<: <646?56BE?82? E?DE< >6>A6BD292?<2? <65E5E<2??H2 ,63E29 36?52 52=2> <62522? 5:2> >6>:=:<: <646?56BE?82? E?DE< D6D2A 5:2> ,632=:<?H2 36?52 52=2> <62522? 36B86B2< >6>:=:<: <646?56BE?82? E?DE< D6D2A 36B86B2< ,:72D C6A6BD: :?: 5:?2>2<2? () !"##$ 2D2E $'( ,:72D <6=6>32>2? 52A2D ?52 B2C2<2? <6D:<2 ?52 36B252 5: 52=2> <6?52B22?H2?8C652?836B86B2<<6>E5:2?C642B2D:32D:32<6?52B22?D6BC63ED 5:B6> C69:?882 ?52 D6B5@B@?8 <6 56A2? "2= :?: D6B;25: <2B6?2 C636=E> A6?86B6>2??5252=2><62522?36B86B2<<656A2?56?82?<646A2D2?C2>2 56?82? <6?52B22? C69:?882 <6D:<2 5:B6> ?52 D6B5@B@?8 <6 56A2? <2B6?2 ?52 >6>:=:<: <646?56BE?82? E?DE< D6D2A 36B86B2< A2 H2?8 2<2? ?52 2=2>: <6D:<2 <6?52B22? >E=2: 36B86B2< <6>32=: '6?82A2 56>:<:2? ,:72D <6=6>32>2? 36?52 5:E?8<2A<2? @=69 0 " $41-, C63282: "E<E> # (6GD@? "E<E> # (6GD@? >6?H2D2<2? 329G2 ! '(*")$ .. .$ !' & $ (# $$ $%" #! $ )'(*) !$ ))& # )* ''! "*'*( $$ !&)$ !%$()$. Aktivitas Fisika 5.1. Sumber: Jendela IPTEK, 1997. Kelembaman Tujuan Percobaan Mengamati sifat kelembaman benda Alat-Alat Percobaan 1. Selembar kertas 2. Gelas 3. Uang logam. Gambar 5.1 Ketika kertas ditarik dengan cara dihentakkan, di manakah koin ini jatuh?. 84. Langkah-Langkah Percobaan 1. Letakkan selembar kertas di permukaan sebuah gelas, kemudian di atas kertas tersebut letakkan sebuah uang logam (koin) seperti pada Gambar 5.1. 2. Tariklah kertas dengan cara dihentakkan. Di manakah koin itu jatuh? 3. Tariklah kertas secara perlahan-lahan. Apa yang terjadi dengan koin tersebut? 4. Apa yang Anda simpulkan dari kegiatan ini?. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(4) 2. Hukum II Newton !2H2H2?836<6B;2A252C63E2936?52>6?H6323<2?36?52D6BC63ED 36B86B2< 5:A6B46A2D 2D2E 5:A6B=2>32D "E<E> ## (6GD@? >6>A6=2;2B: 9E3E?82?2?D2B282H2H2?836<6B;2A252C63E2936?5256?82?A6B46A2D2? H2?85:D:>3E=<2?@=6982H2D6BC63ED 6B:<ED:?:2<2?5:=2<E<2?<68:2D2? C656B92?2 ,6D6=29>6=2<E<2?<68:2D2?D6BC63ED?525:92B2A<2?52A2D >6>292>:9E3E?82?2?D2B282H2>2CC236?52#52?A6B46A2D2? 36?52 H2?8 36<6B;2 A252 36?52 D6BC63ED. Aktivitas Fisika 5.2 (a). Hubungan antara Massa, Percepatan, dan Gaya. m1. Tujuan Percobaan Menyelidiki hubungan antara massa, percepatan, dan gaya pada benda yang mengalami gerak lurus berubah beraturan. Alat-Alat Percobaan 1. 2 buah balok kayu bermassa m1 2. Meja 3. Beban bermassa m2, m2 >> m1 4. Tali 5. Troli 6. Pewaktu ketik. balok. m2. (b). Langkah-Langkah Percobaan 1. Susunlah alat percobaan seperti pada Gambar 5.2. 2. Nyalakan pewaktu ketik. 3. Lepaskan troli sehingga troli bergerak. 4. Amati jejak pada pewaktu ketik. 5. Hitunglah percepatan troli tersebut. 6. Lakukan langkah 2 sampai 5 untuk massa di atas troli sebesar 2 m1, seperti pada Gambar 5.2 (b). 7. Apakah percepatan yang dialami kedua percobaan itu sama? Mengapa demikian? 8. Bagaimana hubungan antara m1 dan a, juga hubungan antara 2m1 dan a? 9. Bagaimana hubungan antara F = m2g dan a?. m1. balok. m1. balok. m2. beban. beban. Gambar 5.2 (a) Balok bermassa m1 diletakkan di atas troli dan ditarik oleh gaya F dari beban m2 . (b) Balok bermassa 2 m1 diletakkan di atas troli dan ditarik oleh gaya F dari m2.. ,6D6=29 >6=2<E<2? )1'3'1 0 '0') ?52 D6=29 >6>292>: 9E3E?82?2?D2B2>2CC2A6B46A2D2?52?A25236?52H2?8B6CE=D2?82H2 H2?8 5:2=2>:?H2 D:52< C2>2 ?@= 6B52C2B<2? A6B4@322? D6BC63ED ?52 A6B@=69 9E3E?82? 2?D2B2 82H2 52? A6B46A2D2??H2 H2:DE . N

(5) . 52AE? 92B82 <6C632?5:?82??H2 :DE >6?E?;E<<2? E<EB2? <6=6> 32>2?H2?85:>:=:<:36?52H2:DE>2CC2 ,642B2>2D6>2D:CA6BC2>22??H2 52A2D 5:DE=:C C63282: 36B:<ED # #. N . $/0 + , 6 5:<6?2= C63282: "E<E> ## (6GD@? H2?8 A6B?H2D22??H2 C642B2 =6?8<2A 252=29 329G2 A'&)$ .$ )#*"!$ %" . .$ !' & (*)* $ ('$. '$$ "*'*( $$ . )'(*) $ '$$ )'"! $$ #(( $. Dinamika Gerak. 85.

(6) !2H252?A6B46A2D2?252=2936C2B2?F6<D@BC652?8<2?>2CC236?52 252=29 36C2B2? C<2=2B )=69 <2B6?2 :DE 82H2 5:DE=:C C63282: 36B:<ED N # %6D6B2?82? 82H2 H2?8 36<6B;2 A252 36?52 ( # >2CC2 36?52 <8 A6B46A2D2? 36?52 > C 2=2>,#C2DE2?82H2252=29<8> C 5:C63ED;E82?6GD@?( . $,)%$ 5:567:?:C:<2? C63282: . .$ !' & #((

(7) !"%'# $ ($ #$#*"!$ &'&)$

(8) #)' &' (!%$ !*'). Tantangan untuk Anda Sebuah palu bermassa 2 kg diayunkan vertikal ke bawah dengan kecepatan 20 m/s. Palu tersebut menghantam sebuah paku, mengakibatkan paku masuk sedalam 5 cm ke dalam kayu. Hitunglah gaya hantam palu.. F' = gaya tarik pohon terhadap anak. F F, = gaya tarik anak terhadap pohon. Gambar 5.3 Putut menarik tali yang diikatkan pada pohon.. N. gaya tekan meja pada buku (gaya reaksi). #<2D<2?C6ED2CD2=:A25232D2?8A@9@?6B2D6B2D282BD2=:D:52<=6A2C C6A6BD:A252 +! / *682?8D2=:A252;2B2<3636B2A2>6D6B>:B:?8 <2? DE3E9 ?52 C2>3:= >6?2B:< D2=: H2?8 CE529 D6BA2C2?8 ?52 D:52< ;2DE93E<2?%2CEC:?:5:D2?8<2A@=69(6GD@?56?82?>6?H2D2<2?329G2 ! $#$' !$.&(*$$)*!$#$' !$ . & $ .$ ('$. (# ))& $$ ' '",$$ *252<6;25:2?D6BC63ED2525E282H2H2?836B=2G2?2?H2:DE82H2D2B:< @=69 2?2< D6B9252A A@9@? 5:C63ED . !( C652?8<2? A@9@? >6>A6BD292?<2?2?2<56?82?82H2H2?8C2>25:C63ED.'!( ,6>2<:? 36C2B82H22<C:H2?85:<6?2<2?D6B9252AA@9@?C6>2<:?36C2B82H2B62<C: H2?8 5:36B:<2? A@9@? !( /'!(. F'. w gaya gravitasi Bumi pada buku. F gaya tekan buku pada meja (gaya aksi). Gambar 5.4 Gaya aksi dan gaya reaksi terjadi pada buku dan meja.. 86. ,63E2936?5236B>2CC2 <836B86B2<56?82?<646A2D2?2G2=> C5:2D2C3:52?852D2B =:4:?<6>E5:2?36?52D6BC63ED5:36B:82H2D6D2AC62B2956?82?86B2<36?52 ,6D6=29 >6?6>AE9;2B2<><646A2D2?36?52>6?;25:> C -6?DE<2?36C2B82H2D6BC63ED 4 ! m = 2 kg :<6D29E: v F + > C # <8 4m +)> C (> *6BC2>22?86B2< (+) N+ '6?EBED"E<E>##(6GD@?. # <8> C <8> C ( + ) N + $25:82H2H2?836<6B;2A25236?52252=29( (. > C N > C > > C. 3. Hukum III Newton. F'. gaya tekan meja pada buku. Contoh 5.1. N. !2H22<C:52?82H2B62<C:36<6B;2A2525E236?52H2?836B365256?82? 2B29 36B=2G2?2? *6B92D:<2? +! /

(9) E<E 5:D2B:< E>: , F6BD:<2= <6 32G29 H2?8 36C2B?H2 C636B2D 3E<E '6;2 >6>36B:<2? 82H2 5@B@?8 <6A252 3E<E H2?8 C2>2 36C2B 56?82? 82H2 8B2F:D2C: E>: , C69:?882 ;E>=29 <65E2 82H2 H2?8 36<6B;2 A252 3E<E C2>2 56?82? ?@= 82B D:52< C2=29 A6BC6AC: <65E2 82H2 D6BC63ED 3E<2? A2C2?82? 2<C:B62<C: <2B6?2 D:52< 36<6B;2 A252 36?52 H2?8 36B3652. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(10) *252 +! /

(11) 3E<E >6?6<2? >6;2 C69:?882 >6>36B:<2? 82H2 2<C:H2?82B29?H2<632G29 ,63282:B62<C:?H2>6;2>6?6<2?3E<EH2?8 2B29?H2 <6 2D2C C69:?882 >6>36B:<2? 82H2 B62<C: %65E2 82H2 :?: 36C2B?H2 C2>2 52? 36B=2G2?2? 2B29 C6BD2 36<6B;2 A252 5E2 36?52 H2?8 36B3652 )=69 <2B6?2 :DE A2C2?82? 82H2 :?: >6BEA2<2? A2C2?82? 2<C: B62<C:/ '6C:?DEB3@A6C2G2D>6>36B:<2?82H22<C:>6=2=E:82C3E2?8<6328:2? 36=2<2?8 ,632=:<?H2C6>3EB2?82C3E2?8B@<6D>6?892C:=<2?82H2B62<C: H2?8 >6?H6323<2? A6C2G2D D6B5@B@?8 <6 56A2? <2B6?2 >2CC2 82C 3E2?8 C2?82D<64:= !2CD6BC63ED>6?H6>3EB<636=2<2?856?82?<646A2D2?D:?88: !2H22<C:52B:>6C:?DEB3@>6C:?A6C2G2DC2>236C2B?H256?82?82H2B62<C: 52B: C6>3EB2? 82C D6D2A: 2B29?H2 36B=2G2?2? bahan bakar terbakar turbin digerakkan oleh gas panas di dalam bilik bakar. baling-baling meniup udara ke sekeliling mesin buangan jet. kompresor tahap pertama menekan udara masuk. aliran udara kompresor tahap kedua meningkatkan tekanan. Gambar 5.5 Gaya aksi dan gaya reaksi terjadi pada mesin turbo pesawat.. 4. Gaya Berat %6D:<2 ?52 >6=6>A2B<2? E2?8 =@82> <6 2D2C 2A2 H2?8 D6B;25: .2?8 =@82> D6BC63ED 2<2? 36B86B2< ?2:< 9:?882 <6D:?88:2? >2<C:>E> <6>E5:2? E2?8 =@82> D6BC63ED 2<2? ;2DE9 <6>32=: <6 E>: $:<2 ?52 >6=6A2C<2? E2?8 =@82> 52B: <6D:?88:2? D6BD6?DE 52B: D2?29 E2?8 =@82> D6BC63ED;E822<2?;2DE9<6E>: .2?8=@82>2<2?C6=2=E;2DE9<6E>: 56?82?A6B46A2D2?D6BD6?DE<2B6?2252?H282H28B2F:D2C:E>:A252E2?8 =@82> ,6>E236?522<2?>6?82=2>:A6B46A2D2?H2?8C2>2D2?A25:A6?82BE9: >2CC2?H2 ?52 ?2>2<2? A6B46A2D2? :?: 56?82? A6B46A2D2? 8B2F:D2C: H2?836C2B?H2> C 52?5:=2>32?8<2?56?82? % 2B: "E<E> ## (6GD@? H2?8 D6=29 ?52 A6=2;2B: ?52 52A2D >6?E=:C<2? 82H2 8B2F:D2C: 8 A252 36?52 36B>2CC2 # C63282: 36B:<ED 8 #%. Ingatlah Massa dan berat bukan besaran yang sama. Satuan massa adalah kg dan satuan berat adalah newton.. 6?82?>6?88E?2<2? %52?>6?E=:C<2??H2E?DE<82H28B2F:D2C: 5:A6B@=69 4#% N %6D6B2?82? 4 82H2 36B2D ?6GD@? >>2CC236?52<8 % A6B46A2D2? 8B2F:D2C: > C . Contoh 5.2 $:<2A6B46A2D2?8B2F:D2C:5:*@?D:2?2<> C 36B2A236B2D36?52H2?8>2CC2?H2<8 5:*@?D:2?2< 4 ! :<6D29E: # <8 > C Dinamika Gerak. 87.

(12) , # <8> C ( $25:36B2D36?52252=29(. Tugas Anda 5.1 Dalam kehidupan sehari-hari, mungkin Anda pernah mendengar kalimat: “berat badan Indro adalah 60 kg”. Bukankah satuan berat adalah newton? Apakah timbangan merupakan alat pengukuran berat atau massa? Bersama kelompok belajar Anda, diskusikan hal tersebut.. Contoh 5.3 ,6A@D@?832=@<>2CC2?H2 <8D6B=6D2<5:2D2C=2?D2: 2=@<D6BC63ED5:D2B:<@=6982H2 F6BD:<2=<62D2CC636C2B ( $:<2

(13) > C 36B2A2<29A6B46A2D2?H2?85:36B:<2? A25232=@<D6BC63ED 4 ! :<6D29E: *25232=@<36<6B;25E282H2H2:DE82H236B2D,52?82H2D2B:<F6BD:<2=<62D2C , # <8

(14) > C ( *6B46A2D2?36?525:D6?DE<2?@=6982H252?82H2,. . #. F. a. /, #. /, # ( N ( > C <8. . w. $25:A6B46A2D2?36?52252=29> C . 5. Gaya Gesekan .?DE< >6>32?DE ?52 >6>292>: <@?C6A D6?D2?8 82H2 86C6<2? ?52 52A2D >6=2<E<2? )1'3'1 0 '0') 36B:<ED E?DE< >6?82>2D: 82H2 86C6<2? 2?D2B2 32=@< 52? >6;2. Aktivitas Fisika 5.3 Gaya Gesekan Tujuan Percobaan Mengamati gaya gesekan yang terjadi antara dua benda. neraca pegas Alat-Alat Percobaan 1. Meja 2. Balok kayu 3. Neraca pegas. balok. Langkah-Langkah Percobaan 1. Susunlah alat percobaan seperti pada gambar. 2. Ketika balok sedang diam, tarik neraca pegas, kemudian amati gaya yang ditunjukkan neraca pegas. 3. Catat gaya yang ditunjukkan neraca pegas sesaat balok akan bergerak. 4. Tarik neraca pegas sehingga balok bergerak dengan kecepatan konstan. 5. Catat gaya yang ditunjukkan neraca pegas pada saat balok bergerak dengan kecepatan konstan. 6. Bandingkan nilai gaya yang ditunjukkan neraca pegas saat balok akan bergerak dan saat balok bergerak dengan kecepatan konstan? 7. Gaya apakah yang ditunjukkan neraca pegas?. !2H286C6<2?D6B;25:A2525E2A6B>E<22?36?52H2?8C2=:?836BC6?DE9 2? 52? D6B52A2D 86B2< B6=2D:7 2?D2B2 <65E2?H2 !2H2 86C6<2? D6BC63ED >6?892C:=<2? 82H2 E?DE< >6?892>32D =2;E 36?52 !2H2 86C6<2? 2?D2B2. 88. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(15) 5E236?52H2?836BC6?DE92?32?H2<5:;E>A2:52=2><69:5EA2?C692B:92B: *252 3636B2A2 <2CEC 82H2 86C6<2? 36BC:72D >6BE8:<2? C652?8<2? A252 <2CEC H2?8 =2:? 82H2 86C6<2? 36BC:72D >6?8E?DE?8<2? ,6@B2?8 C:CG2 >6 ?6?52?8C63E293@=25:2D2C=2A2?82?36BE>AEDD6B;25:82H286C6<2?2?D2B2 A6B>E<22? 3@=2 56?82? 92>A2B2? BE>AED C69:?882 3@=2 2<2? 36B96?D: A252;2B2<H2?8D:52<D6B=2=E;2E9 !2H286C6<2?>6?892>32D=2;E3@=2 *252 4@?D@9 =2:? 82H2 86C6<2? D:>3E= 2?D2B2 32? <6?52B22? H2?8 C652?8 36B86B2< 56?82? ;2=2? H2?8 5:=2=E:?H2 C69:?882 D:52< C=:A !2H2 86C6<2? E52B2 56?82? C6@B2?8 A6?6B;E? A2HE?8 D6B;25: C6A2?;2?8 86B2<2??H2 >3EC2? E52B2 H2?8 >6?H6?DE9 3:52?8 A2HE?8 >6BEA2<2? 82H2 A6?892>32D D6B9252A =2;E A6?6B;E? C69:?882 A6?6B;E? C6=2>2D C22D D:325:D2?29 *252A6B:CD:G2:?:82H286C6<2?C2?82D36B>2?722DD6B9252A <6C6=2>2D2? A6?6B;E? A2HE?8. Sumber: Physics for You, 2001. Gambar 5.6 Gerak turun penerjun payung semakin lambat ketika semakin dekat dengan tanah.. 6. Gaya Sentripetal (Fsp) -6=29 ?52 <6D29E: 329G2 <646A2D2? 252=29 36C2B2? F6<D@B H2?8 >6>:=:<:36C2B52?2B29 $:<22B2952?<6=2;E2?36BE329F6<D@B<646A2D2? 2<2? 36BE329 ;E82 *6BE3292? F6<D@B <646A2D2? 2<2? >6?:>3E=<2? A6B46A2D2? '6?EBED"E<E>##(6GD@?82H2>6BEA2<2?A6B<2=:2?2?D2B2 >2CC2 36?52 56?82? A6B46A2D2? H2?8 5:>:=:<: 36?52 D6BC63ED $:<2 82H2 C6?DB:A6D2= H2?8 36<6B;2 A252 36?52 36B86B2< >6=:?8<2B 36B2DEB2? 252=29 (&A6B46A2D2?C6?DB:A6D2=H2?85:>:=:<:36?5236B>2CC2#252=29(&>2<2 82H2 C6?DB:A6D2= 5:BE>EC<2? C63282: 36B:<ED (&#(&. (& #. +2 # 2 . N. !2H2 C6?DB:A6D2= 2B29?H2 C6=2=E >6?E;E <6 D:D:< AEC2D =:?8<2B2? 52? D682<=EBEC56?82?F6<D@B<646A2D2??H2 .?DE<>6?86D29E:252?H282H2 C6?DB:A6D2= A252 86B2< >6=:?8<2B 36B2DEB2? =2<E<2? <68:2D2? 36B:<ED. Aktivitas Fisika 5.4 Gaya Sentripetal Tujuan Percobaan Mengetahui arah gaya sentripetal Alat-Alat Percobaan Tali dan bola pingpong Langkah-Langkah Percobaan 1. Ikatkan ujung tali pada bola pingpong. 2. Putar bola tersebut di atas kepala dengan posisi mendatar. 3. Apa yang Anda rasakan terhadap gaya tegangan tali? 4. Putarlah tali lebih cepat lagi. Adakah pengaruh kelajuan bola dengan gaya tegangan tali? 5. Apa kesimpulan Anda dari percobaan ini?. *6B92D:<2? +! / $:<2 82H2 36B2D 3@=2 5:232:<2? 82>32B D6BC63ED >6>A6B=:92D<2? 82H282H2 H2?8 36<6B;2 A252 3@=2 H2?8 5::<2D 56?82? D2=: 52? 5:AED2B 56?82? D2?82? C63282: D:D:< AEC2D?H2 2A2D 5:<2D2<2? 329G2 3@=2 D6BC63ED 36B86B2< >6=:?8<2B !2H2 D682?82? D2=: >6BEA2<2? 82H2 H2?8 >6?H6323<2? 36?52 D6BC63ED 36B86B2< >6=:?8<2B. r. T. T. Gambar 5.7 Gaya sentripetal menuju pusat lingkaran.. Dinamika Gerak. 89.

(16) Pembahasan Soal Sebuah benda bermassa 200 gram diikat dengan tali ringan. Kemudian, diputar secara horizontal dengan kecepatan sudut tetap 5 rad/s. Panjang tali tersebut adalah 60 cm. Berapakah besar gaya sentripetal pada benda tersebut? a. 0,3 N b. 0,6 N c. 3 N d. 6 N e. 30 N UAN, 2001. Pembahasan Diketahui: m = 200 gram = 0,2 kg = 5 rad/s = 60 cm = 0,6 m Fsp = m. v2 R. Dalam kasus ini, = R. Dengan demikian, Fsp = m . v2 R. Fsp = m 2 R Fsp = (0,2 kg) (5 rad/s)2 (0,6 m) Fsp = 3 N Jadi, gaya sentripetal yang bekerja pada benda adalah 3 N. Jawaban: C. !2H2 :?: ;E82 52A2D 5:B2C2<2? @=69 D2?82? ?52 !2H2 D682?82? D2=: :?: >6BEA2<2? 82H2 H2?8 2B29?H2 >6?E;E AEC2D 52? A6?H6323 3@=2 D6BC63ED 36B86B2< >6=:?8<2B 2=2> 92= :?: H2?8 36BA6B2? C63282: 82H2 C6?DB:A6D2= ( 252=29 82H2 D682?82? D2=: C $/0 + , 6 52A2D 5:DE=:C C63282: 36B:<ED. #. + '. N. *6B=E ?52 A6B92D:<2? 329G2 82H2 C6?DB:A6D2= >6BEA2<2? CE2DE :CD:=29 E?DE< B6CE=D2? 82H2 H2?8 2B29?H2 >6?E;E AEC2D !2H2C6?DB:A6D2=;E8252A2D?52D6>E:A25286B2<>6=:?8<2B36?52 36?52 =2?8:D D6B9252A 36?52 =2?8:D =2:??H2 ,63282: 4@?D@9 3E=2? H2?8 C6=2=E >6?86=:=:?8: E>: '6?82A2 E=2? C6=2=E >6?86=:=:?8: E>: !2H2 2A2<29 H2?8 36BD:?52<C63282:82H2C6?DB:A6D2=2B:"E<E>(6GD@?5:<6D29E:329G2 2?D2B2 5E2 3E29 36?52 H2?8 >6>:=:<: >2CC2 52? 5:A:C29<2? @=69 ;2B2< D6BD6?DE 36<6B;2 C63E29 82H2 D2B:<>6?2B:< H2?8 36C2B?H2 C632?5:?8 56?82? >2CC2 36?5236?52 D6BC63ED 52? 36B32?5:?8 D6B32=:< 56?82? <E25B2D;2B2<A:C292?D2B236?5236?52D6BC63ED !2H2:?:5:C63EDC63282: 82H28B2F:D2C: !2H2:?:=29H2?8>6?H6323<2?E=2?36B86B2<>6?86=:=:?8: E>: $25: H2?8 36BA6B2? C63282: 82H2 C6?DB:A6D2= A252 86B2< E=2? >6?86=:=:?8: E>: 252=29 82H2 8B2F:D2C: 2?D2B2 E=2? 52? E>:. Contoh 5.4 ,63E293@=236C:36B>2CC2

(17) 85::<2D56?82?C6ED2CD2=:H2?8A2?;2?8?H2 4> <6>E5:2?5:AED2B>6>36?DE<=:?D2C2?>6=:?8<2B56?82?<6=2;E2?> C -6?DE<2? 82H2C6?DB:A6D2=3@=236C:D6BC63ED 4 ! :<6D29E: m = 50 g #

(18) 8

(19) <8 cm 4> > 80 = + > C R !2H2C6?DB:A6D2=5:A6B@=6956?82?>6?88E?2 <2?A6BC2>22? CA #. +2 . 2. 4 m/s 2N 0,8 m . CA 0,1kg . $25:82H2C6?DB:A6D2=3@=236C:252=29 (. Kata Kunci • • • • • • •. Hukum I Newton Hukum II Newton Hukum III Newton gaya aksi gaya reaksi gaya gesekan gaya sentripetal. 90. Mari Mencari Tahu ?52D6=29>6?86D29E:329G286B2<3E=2?5:A6?82BE9:82H2D2B:<E>: ":DE?8=29 36C2B82H2D2B:<E>:D6B9252A3E=2?D6BC63ED .?DE<>6?86B;2<2?DE82C:?:?52 A6B=E >6?86D29E: 36C2B2?36C2B2? E>: 52? 3E=2? H2?8 5:3EDE9<2? 52=2> A6B9:DE?82?D6BC63ED. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(20) Tes Kompetensi Subbab. A. $/( ) ,* &# * +!2)2* 1'& ,

(21) . . . ":DE?882H2H2?85:3EDE9<2?C63E29>@3:=H2?8>2CC2 ?H2 <8E?DE<>6?42A2:<646A2D2? > C52=2> G2<DE

(22) C ,63E2982H236<6B;2A25236?5236B>2CC2#

(23) 52? A6B46A2D2?H2?85:D:>3E=<2? > C !2H2H2?8C2>2 36<6B;2A25236?52=2:?36B>2CC2# A6B46A2D2?H2?8 5:D:>3E=<2?> C #1 2 6B2A2<29?:=2:B2C:@ #2 3 $:<2#

(24) 52?# 5:823E?836B2A2A6B46A2D2?H2?8 5:92C:=<2?@=6982H2 ,63E293EC>2CC2?H2

(25) <836B86B2<56?82?<6 46A2D2? <> ;2> '@3:=5:B6>52?36B96?D:C6D6=29 >6?6>AE9 ;2B2< > -6?DE<2? 82H2 B6> H2?8 36<6B;2A252>@3:=D6BC63ED ?52C652?836B2525:52=2>C63E29A6C2G2DD6B32?8 A252<6D:?88:2?

(26) > <2<: 6B2A2A6B C6?<29A6BE3292?36B2D3252??52 ,6A@D@?832DE32D2H2?8>2CC2?H2 <8D6B=6D2<5:2> 5:2D2CD2?29 %6>E5:2?32DED6BC63ED5:D2B:<<62D2C 56?82?82H2 (C6=2>2 C=2=E5:=6A2C<2? $:<2 > C D6?DE<2? D:?88: >2<C:>E> H2?8 5:42A2:?H2. ,63E293@=236B>2CC2 8B2>5::<2DA252E;E?8 C6ED2CD2=:H2?8A2?;2?8?H2 4> @=236BAED2B52 =2>=:?8<2B2?9@B:I@?D2=56?82?<6=2;E2?D6D2A > C ":DE?8D682?82?D2=: ,63E29A:B:?82?56?82?;2B:;2B:4>5:AED2B56?82? <646A2D2?CE5ED B25 C -6?DE<2?A6B46A2D2?52? 82H2C6?DB:A6D2=C63E29D:D:<36B>2CC2 8H2?836B252 5:A:?88:BA:B:?82?D6BC63ED ,63E29 3@=2 36B>2CC2 <8 5:AED2B >6?8:D2B: =:?8<2B2?F6BD:<2=H2?8B25:EC?H2

(27) >56?82?=2;E > C ":DE?8D682?82?>2<C:>E>52?D682?82?>:?: >E> D2=: H2?8 >6?89E3E?8<2? 3@=2 <6 AEC2D =:?8<2B2?;:<2

(28) > C ,63E29<6?52B22?>6?:<E?85:=:?D2C2?;2=2?>6? 52D2B<2C2B56?82?;2B:;2B:<6=6?8<E?82? >>2CC2 <6?52B22? 52? A6?E>A2?8 <8 -6?DE<2? <646A2D2?>2<C:>E>282B<6?52B2?D:52<C=:A;:<282H2 86C6<2?2?D2B232?52?;2=2? (

(29) ,63E29>@3:=>6=6G2D:;2=2?46>3E?8 :<6D29E: B25:EC > '2CC2>@3:=36C6BD2A6?E>A2?8?H2 <8 !2H2D6<2?>@3:=D6B9252A;2=2? ( $:<2 A6B46A2D2?8B2F:D2C:

(30) > C D6?DE<2?=2;E>@3:=A252 C22D<65E5E<2?D6BD:?88:. B. Penerapan Hukum Newton *252328:2?:?:?522<2?>6>A6=2;2B:3636B2A2A6?6B2A2?9E<E> (6GD@? 52=2> <69:5EA2? C692B:92B:. N. 1. Gerak Benda pada Bidang Datar. F. ,63E2936?52D6B=6D2<A2523:52?852D2B=:4:?C6A6BD:A252 +! / <6>E5:2? 5:36B: 82H2 >6?52D2B 9:?882 36?52 36B86B2< =EBEC 56?82? A6B46A2D2? !2H282H2 H2?8 36<6B;2 A252 CE>3E. 252=29. . / ,. w. Gambar 5.8 Gaya-gaya yang bekerja pada balok.. 6?52 D:52< 36B86B2< D6B9252A CE>3E. >2<2. . /, . N. , # !2H2 H2?8 36<6B;2 A252 CE>3E- - # #. Dinamika Gerak. 91.

(31) %6D6B2?82? A6B46A2D2? > C 82H2( # >2CC2 <8. #. N. Contoh 5.5. Tantangan untuk Anda Sebuah balok bermassa 2 kg terletak di atas bidang datar licin. Pada balok tersebut dikenakan gaya tarik dengan arah 60° terhadap arah mendatar. Hitunglah percepatan balok tersebut.. *2523:52?852D2B=:4:?D:52<25282H286C6<2?H2?836<6B;22?D2B236?5256?82? 3:52?8 ,63E2936?5236B>2CC2<8D6B=6D2<A252>6;2>6?52D2B=:4:? 6?52:DE 5:36B:82H2>6?52D2BC636C2B

(32) ( 6B2A2A6B46A2D2?36?52:DE 4 ! N :<6D29E: # <8

(33) ( F = 10 N

(34) ( > C # <8 w $25:A6B46A2D2?36?52 > C . Contoh 5.6 ,63E29>@3:=36B>2CC2 <836B86B2<56?82?<646A2D2?<> ;2> 6B2A2<29 82H2H2?85:A6B=E<2?E?DE<>6?86B6>282B>@3:=36B96?D:A252;2B2< > 4 ! :<6D29E: # <8 + <> ;2>

(35) > C ( > '@3:=36B96?D:36B2BD:+) ( +) N+ > N

(36) > C > N > C N> C 6?82? >6?88E?2<2?"E<E>##(6GD@?5:A6B@=69 # <8N> C N ( N7

(37) ( $25:282B>@3:=36B96?D:A252;2B2< >92BEC5:<6B;2<2?82H2C636C2BO

(38) ( H2?82B29?H236B=2G2?2?56?82?2B2986B2<36?52. N. lic. mg sin . in. mg cos . . mg. Gambar 5.9 Gaya-gaya yang bekerja pada benda yang diletakkan pada bidang miring. 92. 2. Gerak pada Bidang Miring ,63E29 36?52 >6>:=:<: 82H2 36B2D , # D6B=6D2< A252 3:52?8 >:B:?8 =:4:? >6>36?DE< CE5ED <6>:B:?82? D6B9252A 82B:C 9@B:I@?D2= !2H2H2?836<6B;2A25236?52252=2982H2?@B>2= B2982H2?@B>2= D682< =EBEC D6B9252A 3:52?8 C6?DE9 C6A6BD: A252 +! / ,E>3E-C6;2;2B3:52?8>:B:?852?CE>3E. D682< =EBEC 3:52?8 >:B:?8 %@>A@?6?82H236B2DA252 CE>3E-,- #C:? CE>3E.,. #4@C . Mudah dan Aktif Belajar Fisika untuk Kelas X.

(39) !2H282H2 H2?8 36<6B;2 A252 CE>3E. 252=29. . N,. /#4@C 6?52 D:52< 36B86B2< D6B9252A CE>3E. >2<2 .. F. y. #4@C . N

(40) . +6CE=D2? 82H282H2 A252 CE>3E- 252=29 - # #C:? # C:? . N

(41)

(42) . %6D6B2?82? 82H2?@B>2=( # >2CC2 36?52 <8 CE5ED <6>:B:?82? A6B46A2D2? 8B2F:D2C: > C . Tantangan. Contoh 5.7 ,6A@D@?832=@<H2?8>2CC2?H2 <85:=E?4EB<2?,EC2?D@A2523:52?8>:B:?8=:4:?D2?A2 <646A2D2?2G2= ,E5ED<6>:B:?82?3:52?8D6B9252A9@B:I@?D2= J $:<2

(43) > C 36B2A2<29 2 82H2?@B>2=A25232=@< N 3 <646A2D2?32=@<C6D6=29>6=E?4EBC6=2>2C 4 ! :<6D29E: # <8 v sin J mg cos mg

(44) > C mg 2 %@>A@?6?82H236B2DA252CE>3E. ,. ,4@C #4@C J. untuk Anda Perhatikan perubahan pada Contoh 5.7. Jika sudut diubah menjadi 60°, berapakah gaya normal pada balok tersebut dan berapakah kecepatan balok setelah meluncur selama 3 sekon? Buatlah kesimpulan tentang perubahan sudut terhadap gaya normal dan kecepatan benda..

(45) <8

(46) > C .

(47) ( 6?52D:52<36B86B2<<62B29CE>3E.C69:?882. . ,H -.

(48) ( 3. $25:82H2?@B>2=?H2252=2910 3 ( %@>A@?6?82H236B2DA252CE>3E,- ,C:? #C:? J.

(49) . <8

(50) > C

(51) ( 6?5236B86B2<C6A2?;2?8CE>3E-3:52?8>:B:?8C69:?882. - # ,- #

(52) . . Dinamika Gerak. 93.

(53) > C 2=@<36B86B2<D2?A2<646A2D2?2G2=H2:DE+ %646A2D2?A252)C252=29 +) + ) > C C

(54) > C %646A2D2?32=@<C6D6=29C252=29

(55) > C. 3. Gerak Benda-Benda yang Dihubungkan dengan Tali T. T. A. B. F licin. Gambar 5.10 Gaya F menarik balok A dan balok B.. *6B92D:<2? +! / E2 32=@< D6B=6D2< 5: 2D2C 3:52?8 52D2B =:4:? %65E232=@<D6BC63ED5:9E3E?8<2?56?82?C6ED2CD2=:H2?8>2CC2?H2 5:232:<2? ,22D 82H2 5:<6B;2<2? >2<2 D2=: >6>:=:<: D682?82? C636C2B H2?8 36<6B;2 A252 32=@< +6CE=D2? 82H2 A252 32=@< A252 CE>3E- 252=29 - # #. N

(56) . +6CE=D2? 82H2 A252 32=@< A252 CE>3E- 252=29. . # / # -. /#. N

(57) . $/0 + , 6 5:CE3CD:DEC:<2? <6 52=2> $/0 + , 6 C69:?882 5:A6B@=69 /# # # # # #. . # # . N

(58) . %6D6B2?82? A6B46A2D2? 36?52 > C 82H2 D2B:< ( # >2CC236?52<8 # >2CC236?52<8. Tantangan untuk Anda Perhatikan gambar berikut. tegangan tali. 12 kg. A. B. tegangan tali. 15 kg. 20 kg. C. D. Berapakah massa tabung B?. 94. Contoh 5.8 E236?5252?>2C:?8>2C:?8>2CC2?H2<852?<85:2D2C3:52?852D2B=:4:? 52?5:9E3E?8<2?56?82?D2=:C6A6BD:A25282>32B $:<232=@<5:D2B:<@=6982H2 (D6?DE<2? 2 A6B46A2D2?36?52 3 D682?82?D2=: T T A B 4 ! F :<6D29E: # <8 # <8 (. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(59) . ( > C # # <8<8 . 2. . 3. $25:A6B46A2D2?36?52 > C # <8 > C ( $25:D682?82?D2=:(. 4. Gerak Benda yang Dihubungkan dengan Tali Melalui Katrol E236?5236B>2CC2#

(60) 52?# 5:9E3E?8<2?@=69C6ED2CD2=:>6=2=E: C63E29<2DB@=C6A6BD:A252 +! / !2H286C6<2?<2DB@=5:232:<2? ?882A #

(61) # >2<2 #

(62) 2<2? 36B86B2< <6 32G29 C62B29 56?82? A6B46A2D2? 8B2F:D2C: C652?8<2? # 36B86B2< <6 2D2C 36B=2G2?2? 2B29 56?82? A6B46A2D2? 8B2F:D2C: C69:?882 36B?:=2: ?682D:7 %65E2 36?52 >6>:=:<: A6B46A2D2? 52? D682?82? D2=: H2?8 C2>2 -:?;2E2? A252 36?52 36B>2CC2 #

(63) . licin. T. #

(64). T. T. a. T.

(65). #

(66) N#

(67) #

(68) N#

(69) . a m1g. -:?;2E2? A252 36?52 36B>2CC2 # . Gambar 5.11. # . Dua buah benda dihubungkan dengan tali melalui sebuah katrol.. N# # . # # . N

(70) . )=69<2B6?2D:52<25282H286C6<2?A252<2DB@=C6>E2D682?82?D2=: C2>236C2B 2B:$/0 + , 6 52?$/0 + , 6 5:A6B@=69 #

(71) N #

(72) # # #

(73) / # #

(74) # #

(75) / # #

(76) # . # / #

(77) #

(78) # . N. T. N

(79) . licin. T. m1 T T. *6B92D:<2? +! / 6?5236B>2CC2#

(80) D6B=6D2<5:2D2C3:52?8 52D2B C652?8<2? 36?52 36B>2CC2 # D6B82?DE?8 3632C A252 C6ED2C D2=: !2H2 86C6<2? A252 <2DB@= 52? >2CC2 D2=: 5:232:<2? D:?;2E2? A252 36?52 36B>2CC2 #

(81) .

(82) #

(83) #

(84) . m2g. N

(85) . w1 = m 1 g. m2 w2 = m2g. Gambar 5.12. N

(86) . Dua benda dihubungkan dengan tali melalui katrol dan m1 terletak pada bidang datar.. Dinamika Gerak. 95.

(87) -:?;2E2? A252 36?52 36B>2CC2 # # # / # # /# . N

(88) . 2B: $/0 + , 6 52? $/0 + , 6 5:A6B@=69 #

(89) # /# #

(90) # # #

(91) # # . # #

(92) # . N . Contoh 5.9 E236?5252?>2C:?8>2C:?8>2CC2?H2<852? <85:9E3E?8<2?56?82?D2=: >6=2=E:C63E29<2DB@==:4:? 6B2A2A6B46A2D2?52?D682?82?D2=:;:<2<65E236?52 5:=6A2C<2?

(93) > C 4 ! %6D:<2<65E236?525:=6A2C<2?36B86B2<<632G2952?36B86B2<<62D2C<2B6?2 # #<65E236?52>6>:=:<:A6B46A2D2?C2>2 2. . 3. Tantangan untuk Anda Perhatikan gambar berikut. katrol licin. 20 kg licin. # / # 8 # #. <8N <8

(94) > C. <8 <8 > C $25:A6B46A2D2?<65E236?52 > C # /# <8

(95) > C N<8 > C <8> C ( $25:D682?82?D2=:<65E236?52 (. T. A. B. T. A. B. wA. wB. Contoh 5.10 2B:CECE?2?36?5236?52A25282>32BD6?DE<2?A6B46A2D2?36?5252?D682?82? C6D:2AD2=:;:<2#

(96) <8#<852?#<852?3:52?8=:4:?

(97) > C 4 ! T1 T2 $:<236?525:=6A2C<2?36?5236B86B2< <632G29 52?36B86B2<<6<2?2?56?82? A B A6B46A2D2?H2?8C2>2. 5 kg. 2. T3. # # # #. ) 30° Hitunglah percepatan benda A dan tegangan tali.. 96. Mudah dan Aktif Belajar Fisika untuk Kelas X. C.

(98) . . 3. <8

(99) > C

(100) <8 <8 <8 . > C > C $25:A6B46A2D2?C6>E236?52C2>2H2:DE> C -:?;2E2?A25236?52. . # . . # . 4.

(101) #

(102) <8> C ( $25:D682?82?D2=:

(103) ( -:?;2E2?A25236?52 . #/ # <8

(104) > C N <8> C ( $25:D682?82?D2=: (. 5. Gerak Benda Dihubungkan Tali Melalui Dua Katrol yang Salah Satunya Dapat Bergerak *252 B2?8<2:2? 36?52 52? 36?52 C6A6BD: +! / A6B46A2D2? 36?52 A252 <2DB@= 36B86B2< 3632C 252=29 C6D6?829 52B:

(105) A6B46A2D2? 36?52 A252 <2DB@= D6D2A C69:?882 *6BC2>22?. A6BC2>22? H2?836B=2<E A252B2?8<2:2? D6BC63ED 252=29 C63282: 36B:<ED -:?;2E2? A252 36?52 # # . N A. T. licin T. T mAg. B. N

(106) . -:?;2E2? A252 36?52 . mBg. # . Gambar 5.13 Dua benda dihubungkan dengan tali melalui dua katrol.. ,N # #N# . # N. N . Contoh 5.11 *252B2?8<2:2?C6A6BD:82>32B36B:<ED>2CC236?5252?>2C:?8>2C:?8<852? <8 '2CC2<2DB@=52?D2=:5:232:<2?

(107) > C -6?DE<2?A6B46A2D2?36?5252? D682?82?D2=: 4 ! :<6D29E: # <8. Dinamika Gerak. 97.

(108) # <8

(109) > C. mA = 3 kg T A.

(110) T T. -:?;2E2?A25236?52 mA g # <8 -:?;2E2?A25236?52 B # N mB = 4 kg. mB g <8

(111) > C N . <8

(112) > C N $/0 + ,52?$/0 + ,5:CE3CD:DEC:<2?C69:?8825:A6B@=69

(113) <8 <8

(114) > C N . <8 <8> C N

(115) <8 <8 <8> C > C 2B:$/0 + ,5:A6B@=69 <8> C

(116) ( $25:A6B46A2D2?36?52252=29> C 52?D682?82?D2=:252=29

(117) (. 6. Gaya Tekan pada Alas Lift *6B92D:<2? +! /

(118) ,63E2932=@<36B>2CC2#D6B=6D2<5:52=2> =:7DH2?8C652?836B86B2< '6?EBED"E<E>###(6GD@?82H2D6<2?32=@< A252 2=2C =:7D , C2>2 56?82? 82H2 ?@B>2= 36?52 2 $/& 1') , +! /

(119) =:7D 36B86B2< F6BD:<2= <6 2D2C 56?82? <646A2D2?D6D2A>2<2B6CE=D2?82H2H2?836<6B;2A25236?52252=29?@= /# . (c). (a). v. v. N. N. a. mg = w. w'. w'. (b). (d). # , 3. mg = w. N N. #. v mg = w w'. N . >2<2,

(120) , w' mg = w. Gambar 5.14 Sebuah balok bermassa m terletak di dalam lift yang sedang bergerak.. 98. >2<2, , $/& 1') , +! /

(121) ! =:7D 36B86B2< F6BD:<2= <6 2D2C 56?82? A6B46A2D2?D6D2A>2<2B6CE=D2?82H2H2?836<6B;2A25236?52252=29 # /# #. a. a. N . 4. $/& 1') , +! /

(122) " =:7D 36B86B2< F6BD:<2= <6 2D2C 56?82? A6B=2>32D2?N>2<2B6CE=D2?82H2H2?836<6B;2A25236?52252=29 #. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(123) / # #/. Kata Kunci N . #/. • • • • • •. >2<2, , 5 $/& 1') , +! /

(124) #=:7D36B86B2<F6BD:<2=<632G2956?82? A6B46A2D2? D6D2A B6CE=D2? 82H2 H2?8 36<6B;2 A252 36?52 252=29 # #/ #. bidang datar bidang miring gaya normal gaya berat tegangan tali katrol. N . #/ >2<2, ,. Contoh 5.12 $@<@H2?8>2CC2?H2<836B5:B:5:52=2>C63E29=:7DH2?8C652?836B86B2<<62D2C 56?82?A6B46A2D2? > C $:<2A6B46A2D2?8B2F:D2C:E>:

(125) > C 36B2A2<29 82H2D6<2?<2<:$@<@A252=2?D2:=:7D 4 ! 6?82?>6?88E?2<2?$/0 + , 6

(126) 5:A6B@=69 # <8

(127) > C > C ( $25:82H2D6<2?$@<@A252=2?D2:=:7D252=29(. Tes Kompetensi Subbab. B. $/( ) ,* &# * +!2)2* 1'& ,

(128) ,63E29<@D2<36B>2CC2<8D6B=6D2<5:A6B>E<22? =2?D2:=:4:? $:<2<@D2<D6BC63ED5:D2B:<56?82?82H2 C636C2B

(129) (36B2A2<29<646A2D2?<@D2<D6BC63ED ,63E2936?525:=E?4EB<2?@=69$@<@A2523:52?8 >:B:?8=:4:? $:<2>2CC236?52D6BC63ED<852?CE5ED <6>:B:?82?3:52?8D6B9252A9@B:I@?D2= J9:DE?8=29 <646A2D2?36?52C6D6=2936B86B2< C *6B92D:<2?82>32B36B:<ED. .

(130) $:<2 A6B32?5:?82? 2?D2B2 #

(131) 52? # 252=29 . 9:DE?8=29A6B46A2D2?86B2<A252<2DB@=D6BC63ED

(132) > C E23E2936?525:CECE?C656>:<:2?BEA2C69:?882 D2>A2<C6A6BD:A25282>32B36B:<ED $:<2>2CC2<852?>2CC2 <89:DE?8=29 A. B. m1. m2. D682?82?D2=:52?A6B46A2D2?36?52<6D:<236?52 >6=E?4EB ,:D@BECC652?836B5:B:5:52=2>=:7DH2?8C652?836B 86B2<<632G2956?82?A6B46A2D2? > C 6B2A2<29 82H2D6<2?<2<:,:D@BECA252=2?D2:=:7D. Dinamika Gerak. 99.

(133) Rangkuman

(134) . . . !2H2 >6>6?82BE9: 86B2< 36?52 ,2DE2?82H252=2>,#252=29?6GD@?( ,2DE ?6GD@? 5:567:?:C:<2? C63282: 82H2 H2?8 >6>36B:<2? A6B46A2D2?

(135) > C A252 CE2DE36?52H2?8>2CC2?H2

(136) <8 "E<E> # (6GD@? >6?H2D2<2? 329G2 ;:<2 B6CE=D2?82H282H2H2?836<6B;2A25236?52 C2>256?82??@=36?52D6BC63ED2<2?D6D2A 5:2> 2D2E 36B86B2< =EBEC 36B2DEB2? :BE>EC<2? 56?82? "E<E> ## (6GD@? >6?H2D2<2? 329G2 A6B46A2D2? H2?8 5:D:>3E=<2? @=69 82H2. . H2?8 36<6B;2 A252 CE2DE 36?52 36C2B?H2 36B 32?5:?8=EBEC56?82?82H252?36B32?5:?8D6B 32=:< 56?82? >2CC2 36?52 :BE>EC<2? 56?82? # "E<E> ### (6GD@? >6?H2D2<2? 329G2 ;:<2 36?52A6BD2>2>6?86B;2<2?82H2A25236?52 <65E2 36?52 <65E2 2<2? >6?86B;2<2? 82H2 A252 36?52 A6BD2>2 H2?8 36C2B?H2 C2>2 D6D2A: 2B29?H2 36B=2G2?2? :BE>EC<2? 56?82? 2<C: /B62<C:. Peta Konsep ', +') $/ ) >6>A6=2;2B:. "E<E>### (6GD@?. D:>3E= <2B6?2. !2H2. >6>6?82BE9:. >6?H2D2<2?. !6B2<. 9E3E?82??H2. 2<C:NB62<C: "E<E># (6GD@?. "E<E>## (6GD@?. >6?H2D2<2?. >6?H2D2<2?. $:<2 36?522<2? K 5:2>+ 2D2E K 36B86B2<=EBEC36B2DEB2? . Refleksi Setelah mempelajari bab ini, tentu Anda memperoleh manfaat, di antaranya Anda mengetahui bagaimana hubungan antara massa (m), gaya (F), dan percepatan (a). Dapatkah Anda menyebutkan manfaat. 100. Mudah dan Aktif Belajar Fisika untuk Kelas X. lain Anda mempelajari bab ini? Dalam mempelajari bab ini, apakah ada materi yang Anda anggap sulit untuk dipahami? Jika ada, diskusikan dengan teman atau tanyakan kepada guru..

(137) Tes Kompetensi Bab 5 '*'&* &0 * &0 12( 4 ! ,5 ,%. *',%1$. 1# ,)$/( ) ,* &. # !2)2* 1'& ,

(138) . . . . . . $:<236?5292?H25:A6?82BE9:@=69C63E2982H236?52 2<2?36B86B2<56?82? 2 <646A2D2?<@?CD2?C62B2956?82?2B2982H2 3 <646A2D2?<@?CD2?36B=2G2?2?2B2956?82?2B29 82H2 4 A6B46A2D2?<@?CD2?36B=2G2?2?2B2956?82?2B29 82H2 5 A6B46A2D2?<@?CD2?C62B2956?82?2B2982H2 6 36?52D6D2A5:2> ,63E2982H2>6?H6323<2?A6B46A2D2? > C A252 36?52H2?836B>2CC2<8 $:<282H2:DE36<6B;2A252 36?52H2?836B>2CC2

(139) <882H2:DE2<2?>6>36B:<2? A6B46A2D2?C636C2B 2 > C 5

(140) > C. 3 > C 6 > C. 4 > C .?DE<>6>A6B46A2D36?52H2?8>2CC2?H2<852B: <646A2D2?

(141) > C>6?;25:> CC6=2>2C5:A6B=E<2? 82H2C636C2B 2 ( 5

(142) ( 3 ( 6

(143) ( 4

(144) ( ,63E2936?5236B>2CC2 <8>6=E?4EBA2523:52?8 >:B:?856?82?<646A2D2?D6D2A $:<2CE5ED<6>:B:?82? JB6CE=D2?82H2H2?836<6B;2A25236?52252=29 2 5 ( 3

(145) ( 6 ( 4 ( +6CE=D2?82H2A252C63E29>@3:=H2?836B86B2<=EBEC 36B2DEB2?5:;2=2?H2?8>6?52<:252=29 2 C2>256?82?82H2?@B>2= 3 C2>256?82?82H236B2D>@3:= 4 C2>256?82?>2CC236?52 5 C2>256?82?36B2D>@3:=5:<EB2?8:82H2?@B>2= 6 ?@= -:8232=@<52?5:=6D2<<2?C656>:<2:?BEA2 36B:>A:D5:2D2C3:52?852D2BC6A6BD:A25282>32B B A F. C F1. F2. F3. F4. 2=@<5:C6?DE956?82?82H2>6?52D2BC69:?882 82H2 D6BC63ED 5:D6BEC<2? @=69 <6 36?52 52? C6=2?;ED?H2<636?52 !2H282H2D6BC63EDH2?8 >6BEA2<2?A2C2?82?2<C:B62<C:252=29 5 52? 2 52?

(146) 3

(147) 52? 6 52? 4 52?. !B27:<36B:<ED>6?E?;E<<2?9E3E?82?A6BA:?5292? D6B9252AG2<DE52B:5E236?52H2?8>2CC2?H2C2>2 H2?8 5:<6B;2<2? @=69 82H2

(148) 52? C69:?882 >6?892C:=<2?A6B46A2D2?

(149) 52? s. 1 2. t. 2B:8B27:<52A2D5:C:>AE=<2?329G2 2

(150) 52?

(151) 3

(152) 52?

(153) 4

(154) 52?

(155) 5

(156) 52?

(157) 6

(158) 52?

(159) !B27:<A6B46A2D2?C63282:7E?8C:B6CE=D2?82H2A252 CE2DE36?52C6A6BD:A25282>32B36B:<ED a(m/s2) 10. 5. 2. 6. F(N). '2CC236?52D6BC63ED252=29 2 <8 5 <8 3 <8 6

(160) <8 4 <8 6B52C2B<2?"E<E>##(6GD@?52A2D5:C:>AE=<2? 329G2 ;:<2 82H2 H2?8 36<6B;2 A252 C63E29 36?52 36BD2>329>2CC236?52D6BC63ED 2 36B<EB2?852?A6B46A2D2?36BD2>329 3 36BD2>32952?A6B46A2D2?36B<EB2?8 4 D6D2A52?A6B46A2D2?36B<EB2?8 5 D6D2A52?A6B46A2D2?36BD2>329 6 36BD2>32952?<646A2D2?36B<EB2?8

(161) ,63E29<@D2<36B2525:2D2C>@3:= H2?8C652?836B86B2<A6B92D: <2?82>32B ,642B2D:32D:32>@3:= 5:B6>C69:?882 2 <@D2<2<2?D6D2A 5:2> 3 <@D2<2<2?36B86B2< <6C2>A:?8 4 <@D2<2<2?36B86B2<<6C2>A:?8<2?2? 5 <@D2<36B86B2<<6C2>A:?8<:B: 6 <@D2<36B86B2<<656A2?. Dinamika Gerak. 101.

(162)

(163)

(164) ,63E2936?52D6B=6D2<A2523:52?8>:B:?8 !2H2?@B >2=A25236?52:DE252=29 2 C2>256?82?36B2D36?52 3 =63:936C2B52B:A25236B2D36?52 4 =63:9<64:=52B:A25236B2D36?52 5 C2>256?82?>2CC236?52 6 C2>22D2E=63:9<64:=52B:A25236B2D36?52

(165) 6?52H2?8>2CC2?H2#5:D6>A2D<2?5:2D2C3:52?8 >:B:?8H2?8=:4:?56?82?CE5ED<6>:B:?82? D6B9252A 3:52?8 9@B:I@?D2= $:<2 A6B46A2D2? 8B2F:D2C: A6B46A2D2?H2?8D6B;25:A25236?52D6BC63ED252=29 5 C:? 2 C:? # 3 #C:? 6 4@C 4 #C:?

(166) ,63E2936?5236B>2CC2#36B252A2523:52?8>:B:?8 H2?8=:4:?56?82?CE5ED<6>:B:?82? JD6B9252A9@B: I@?D2= $:<2A6B46A2D2?8B2F:D2C:A6B46A2D2?36?52 252=29

(167) 8 2 5

(168)

(169) 8 3 6 8 .

(170) 8 4.

(171) *6B92D:<2?CECE?2?36?5236?5236B:<ED 9 kg. 1 kg w. 6C2B?H2A6B46A2D2?52?D682?82?D2=:36BDEBED DEBED 2 > C 52?

(172) ( 5 > C 52?

(173) ( 3 > C 52?( 6

(174) > C 52?

(175) ( 4

(176) > C 52?(

(177) ,E2DE36?5236B>2CC2<8D6B=6D2<A2523:52?8>:B:?8 56?82?<6>:B:?82? JD6B9252A9@B:I@?D2= !2H2?@B >2=H2?836<6B;2A25236?52252=29 2 ( 5

(178) ( 3

(179) ( 6 ( 4

(180) (

(181) ,63E2936?5236B>2CC2<8D6B=6D2<A2523:52?852D2B 5:D2B:<56?82?82H2 (F6BD:<2=<62D2C !2H2?@B>2= H2?836<6B;2A25236?52:DE252=29 2 ( 5 ( 3 ( 6 ( 4 (. 102. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(182) ,63E293@=236C:5:82?DE?8<2?A252=2?8:D=2?8:DC6A6BD: A25282>32B36B:<ED T3. T1 T2. w. >6?H2D2<2?D682?82?D2=:52?,>6?H2D2<2?36B2D 3632? /2?8 >6BEA2<2? A2C2?82? 82H2 2<C:B62<C: 252=29 2

(183) 52?, 5

(184) 52? 3 52?, 6

(185) 52? 4

(186) 52?

(187) 6B52C2B<2?CECE?2?36?5236?52A25282>32B>6;2 52?<2DB@=5:2?882A=:4:?C6>AEB?2 3 kg. A. B. 3 kg. T. T. C 2 kg. $:<236?525:=6A2C<2?D682?82?D2=:36C2B?H2 2 ( 5 ( 3 ( 6 ( 4 (

(188) ?:D236B>2CC2 <85:D:>32?85:52=2>=:7DH2?8 C652?8>6=E?4EB<632G2956?82?A6B46A2D2?D6D2A > C $:<2

(189) > C 36B2D?:D25:52=2>=:7D 252=29 2 ( 5 ( 3 ( 6 ( 4 ( !2H2?@B>2=A252<2<:,:D@BECH2?836B2525:52=2> =:7D=63:936C2B52B:A25236B2D?H2 "2=:?:D6B;25:;:<2=:7D 52=2><62522? 2 5:2> 3 36B86B2<<632G2956?82?<646A2D2?D6D2A 4 36B86B2<<62D2C56?82?A6B46A2D2?D6D2A 5 36B86B2<<632G2956?82?A6B46A2D2?D6D2A 6 36B86B2<<62D2C56?82?A6B=2>32D2?.

(190) . 4 !* &.$/1 ,5 ,!$/')21#$,% ,1$. 1.

(191) . ,63E2932=@<36B>2CC2<85:D2B:<@=6982H2>6?52D2B (5:2D2C3:52?852D2B=:4:? 6B2A2<29A6B46A2D2? 32=@<D6BC63ED ,63E2936?5236B>2CC2 <836B86B2<56?82?<6 46A2D2?> C 6B2A2<2936C2B82H2A6B=2G2?2?H2?8 5:A6B=E<2?282B36?52D6BC63EDD6A2D36B96?D:

(192) >52B: D6>A2DC6>E=2 ,63E2932=@<36B>2CC2<8>6=E?4EBD2?A2<646A2D2? 2G2=5:2D2C3:52?8>:B:?8H2?8=:4:?C6>AEB?2 $:<2 D2? >6BEA2<2?CE5ED<6>:B:?82?3:52?8 52?

(193) > C D6?DE<2? 2 82H2?@B>2=A25236?52 3 A6B46A2D2?H2?8D:>3E=A25236?52 4 ;2B2<H2?85:D6>AE9C6D6=29C E236?5252?5::<2D<2?A252E;E?8E;E?8D2=: H2?85:C2?8<ED<2?A252<2DB@=C6A6BD:A25282>32B. . . . A B. . . '2CC2<65E236?52>2C:?8>2C:?8# <852? # <8

(194) > C ,E5ED<6>:B:?82?3:52?8 D6B9252A9@B:I@?D2= J $:<23:52?8=:4:?C6>AEB?2 D6?DE<2? 2 82H2?@B>2=A25236?52 3 2B2986B2<<65E236?52 4 A6B46A2D2?86B2<<65E236?52 5 D682?82?D2=: *6B92D:<2?CECE?2?82>32B36B:<ED N A. T. T. T mA g. B mB g. '2CC252?>2C:?8>2C:?8

(195)

(196) <852?

(197) <8 '6;2 =:4:?C6>AEB?2>2CC2D2=:52?<2DB@=5:232:<2? $:<2 > C D6?DE<2? 2 A6B46A2D2?36?5252? 3 D682?82?D2=:?H2. *6B92D:<2?CECE?2?82>32B36B:<ED. A. 30°. B. '2CC252?>2C:?8>2C:?8<852?<8 ,E5ED3:52?8>:B:?8D6B9252A9@B:I@?D2= J52?

(198) > C -6?DE<2? 2 2B2986B2<36?52 3 A6B46A2D2?36?52 4 D682?82?D2=: E23E293@=252?H2?8>2C:?8>2C:?8>2CC2?H2 <85::<2D56?82?D2=:52?5:82?DE?8A252=2?8:D =2?8:D=:7D $:<2=:7D36B86B2<<62D2C56?82?A6B46A2D2? > C 36B2A2D682?82?C6D:2AD2=:

(199) > C E236?5252?5::<2D<2?A252E;E?8E;E?8D2=: H2?85:C2?8<ED<2?A252<2DB@=C6A6BD:A25282>32B 36B:<ED '2CC236?5252?>2C:?8 >2C:?8 <8 52? <8 %2DB@= 5:2?882A =:4:? C6>AEB?2 $:<2 A6B46A2D2? 8B2F:D2C:

(200) > C D6?DE<2? 2 2B2986B2<36?52 3 A6B46A2D2?86B2<36?52 4 D682?82?D2=: A B. :52=2>C63E29=:7D5:D6>A2D<2?D:>32?82?3252? ,22D =:7D52=2><62522?5:2>"6B:>6?:>32?83252??H2 C69:?8825:52A2D<2?36B2D"6B: ( $:<2

(201) > C D6?DE<2?A6?E?;E<2?D:>32?82?;:<2 2 =:7D36B86B2<F6BD:<2=<62D2C56?82?A6B46A2D2? D6D2A

(202) > C 3 =:7D36B86B2<F6BD:<2=<62D2C56?82?A6B=2>32D2? D6D2A> C 4 =:7D36B86B2<F6BD:<2=<632G2956?82?A6B46A2D2? D6D2A> C 5 =:7D 36B86B2< F6BD:<2= <6 32G29 56?82? A6B =2>32D2?D6D2A> C

(203) ,6C6@B2?8H2?8>2CC2?H2 <85:D:>32?85:52=2>=:7D H2?8C652?836B86B2<<62D2C56?82?A6B46A2D2?D6D2A > C $:<2A6B46A2D2?8B2F:D2C:252=29

(204) > C D6?DE<2? 36B2D@B2?8:DE5:52=2>=:7D. Dinamika Gerak. 103.

(205) Proyek Semester 1 *252C6>6CD6B:?:?52D6=29>6>A6=2;2B:D6?D2?8<@?C6A52?AB:?C:A52C2B <:?6>2D:<252?5:?2>:<236?52D:D:< .?DE<>6?:?8<2D<2?A6>292>2?>6?86?2: <@?C6A D6BC63ED ?52 5:DE82C<2? E?DE< >6=2<E<2? <68:2D2? C6>6CD6B C642B2 36B<6=@>A@<N@B2?8 &2?8<29<68:2D2?H2?892BEC?52=2<E<2?5:EB2:<2? A252AB@H6<C6>6CD6B

(206) :?: ,63282:DE82C2<9:B<68:2D2?<6=@>A@<?5292BEC>6>3E2D =2A@B2?<68:2D2?C6>6CD6BH2?82<2?5:AB6C6?D2C:<2?5:2<9:BC6>6CD6B5:9252A2? <6=@>A@<=2:?52?8EBE :C:<2?52 ,:CD6>2D:<2A6?E=:C2?=2A@B2??H2D6B5:B:2D2C $E5E= -E;E2? =2D 52? 292? *B@C65EB *6B4@322? 2D2 ?2=:C:C 2D2 C6BD2 %6C:>AE=2?52?,2B2?D6B9252AA6?6=:D:2?H2?8D6=295:=2<E<2?. Gerak Lurus Beraturan dan Gerak Lurus Berubah Beraturan 2(2 ,$%' 1 , '6>A6=2;2B:C63E2936?52H2?836B86B2<=EBEC36B2DEB2?52?36B86B2<=EBEC36BE329 36B2DEB2? *

(207) . 1# , & , *2A2?=:?D2C2? %6=6B6?85:2>6D6BL 4> *6?882B:C*2?;2?8 )%&,) 3E29 -E>AE2? %2AEBDE=:C2D2ECA:5@=. /-0$#2/$/"-! ,

(208) ,ECE?=292=2D2=2DC6A6BD:A25282>32B36B:<ED Kelereng. A. Pap. an. lint. asa. n. Tumpuan. Papan lintasan. B. C. -2?52:52?9:DE?8;2B2<2?D2B2D:D:<2G2=D:D:<52?D:D:< &6A2C<2?<6=6B6?852B:D:D:<9:?882>6?86=:?5:?8<6D:D:<>6=2=E:D:D:< ":DE?8G2<DED6>AE9<6=6B6?852B:<6D:D:<52?52B:D:D:<<6D:D:< 1 1 ,$2B2<N36B<:C2B2?D2B2

(209) N

(210) 4>52?;2B2<N36B<:C2B2?D2B2 N

(211) 4> $,%-* & , 1

(212) 2D2D=29;2B2<52?G2<DED6>AE9N52?N A2<29A252=:?D2C2?N<6=6B6?8>6?82=2>:A6BE3292?<646A2D2?$:<2H2 36B2A2 A2<29<6=6B6?8>6?82=2>:A6BE3292?<646A2D2?A252=:?D2C2?N$:<2H2 36B2A2 '6?EBEDA6?52A2D?52D6B>2CE<86B2<2A2<29<6=6B6?8A252=:?D2C2?N 52?A252=:?D2C2?N A2H2?852A2D?52C:>AE=<2?52B:A6B4@322?:?:. 104. Mudah dan Aktif Belajar Fisika untuk Kelas X.

(213) Tes Kompetensi Fisika Semester 1 '*'&* &0 * &0 12( 4 ! ,5 ,%. *',%1$. 1# ,)$/( ) ,* &. # !2)2* 1'& ,

(214) . . . . . . . . :>6?C:82H2252=29 2 0'10&10-1N

(215) 5 0'10&10-1N. N 3 0'10&1 0-1 6 0'10&10-1. N

(216) N 4 0'1 0&1 0-1 .C292 C6D:2A C2DE2? G2<DE >6>:=:<: 5:>6?C: C2>2 56?82?5:>6?C: 2 6?6B8:<:?6D:< 5 6?6B8:A@D6?C:2= 3 52H2 6 82H2 4 D6<2?2? E2F6<D@B>2C:?8>2C:?8C2DE2?52?C2DE2?C2DE C2>2 =2:? C2=:?8 D682< =EBEC ,6=:C:9 <65E2 F6<D@B D6BC63ED252=29 2 C2DE2? 5

(217) C2DE2? 3 C2DE2? 6

(218) C2DE2? 4 C2DE2? E2F6<D@B

(219) 52? C2DEC2>2=2:?>6>36?DE<CE5ED J +6CE=D2?F6<D@B>6>36?DE<CE5ED JD6B9252A F6<D@B

(220) $:<2F6<D@B

(221) (F6<D@B 252=29 2

(222) ( 5 ( 3 ( 6 ( 4 ( %6D6=:D:2? 2=2D E<EB A6?882B:C ;2?8<2 C@B@?8 52? >:<B@>6D6BC6<BEAC642B236BDEBEDDEBED252=29 2

(223) >>

(224) >>52?

(225) >> 3 >>

(226) >>52?

(227) >> 4

(228) >>

(229) >>

(230) >> 5 >> >>52?

(231) >> 6 >>

(232) >>52?

(233) >> *252 A6?8E<EB2? A2?;2?8 36?52 5:A6B@=69 92C:= A6?8E<EB2? > 2?H2<?H22?8<2A6?D:?892C:= A6?8E<EB2?D6BC63ED252=29 2 5E2 5 =:>2 3 D:82 6 6?2> 4 6>A2D =E>:?:E>H2?8>2CC2?H2

(234) 852?F@=E>6?H2 4> >6>:=:<:>2CC2;6?:C 2 8 4> 5 8 4> 3 8 4> 6 8 4> 4 8 4> ,63E29>@3:=36B86B2<<632B2D56?82?<646A2D2?

(235) > CC6=2>2

(236) 56D:< %6>E5:2?36?5236B86B2< <6>32=:<6D:>EB56?82?<646A2D2?> CC6=2>256D:< %646A2D2?B2D2B2D2>@3:=252=29M 2 > C 5

(237) > C 3

(238) > C 6

(239) > C 4

(240) > C. 6B:<ED252=298B27:<<646A2D2?+D6B9252AG2<DE) 52B:36?52H2?836B86B2<=EBEC v(m/s) 8 4. 0.

(241) .

(242)

(243) .

(244) .

(245) .

(246) . 2. 6. 8. t(s). $2B2<H2?85:D6>AE936?52C6=2>2C252=29 2 > 5 > 3 > 6 > 4 > ,6C6@B2?8>6?86?52B2:>@3:=56?82?A6B46A2D2?D6D2A > C ,6D6=2936B;2=2? C>@3:=:DE>6?6>AE9;2B2< > %646A2D2?2G2=>@3:=:DE252=29 2 > C 5

(247) > C 3 > C 6

(248) > C 4

(249) > C ,63E29 >@3:= 52B: <62522? 5:2> 9:?882 36B86B2< 56?82?<646A2D2? > C>6>3EDE9<2?G2<DEC $2B2<H2?85:D6>AE9>@3:=252=29 2

(250) > 5 > 3 > 6 > 4 > ,63E29 >@3:= >6>:=:<: <646A2D2? 2G2= > C >6?52A2DA6B=2>32D2?D6D2A> C '@3:=D6BC63ED 2<2?36B96?D:C6D6=29>6?6>AE9;2B2< 2

(251) > 5

(252) > 3 > 6

(253) > 4

(254) > ,63E2936?525:D6>32<<2?F6BD:<2=<62D2C56?82? <646A2D2?2G2=

(255) > C %6D:?88:2?36?52C6D6=29

(256) C 52B:A6?6>32<2?252=29

(257) > C 2 > 5

(258) > 3 > 6

(259) > 4 > :2?D2B2A6B?H2D22?36B:<EDH2?8A2=:?8D6A2DE?DE< C63E2936?52;2DE93632C252=29 2 A6B46A2D2?D6D2A<646A2D2?D6D2A 3 A6B46A2D2?36BD2>329<646A2D2?D6D2A 4 A6B46A2D2?D6D2A<646A2D2?36BD2>329 5 A6B46A2D2?36BD2>329<646A2D2?36BD2>329 6 A6B46A2D2?52?<646A2D2?36B<EB2?8. Tes Kompetensi Fisika Semester 1. 105.

(260)

(261) 6?5256?82?>2CC2 <836B86B2<56?82?<6=2;E2?

(262) <> ;2> !2H2 H2?8 5:A6B=E<2? 282B 36?52 :DE 36B96?D:A252;2B2<

(263) >52B:D6>A2DC6>E=2252=29 2 (36B=2G2?2?56?82?86B2<36?52 3 (C62B2956?82?86B2<36?52 4 (36B=2G2?2?56?82?86B2<36?52 5 (C62B2956?82?86B2<36?52 6 (C62B2956?82?86B2<36?52

(264) ,63E2936?5256?82?>2CC2<8D6B=6D2<A2523:52?8 52D2B 6?52 D6BC63ED 5:36B: 82H2 ( H2?8 >6>36?DE<CE5ED JD6B9252A3:52?8>6?52D2B !2H2 ?@B>2=H2?836<6B;2A25236?52:DE252=29 2 ( 5

(265) ( 3 ( 6 ( 4 (

(266) *6B92D:<2?82>32B36B:<ED.

(267) ,63E2936?5256?82?>2CC2?H2#5:82?DE?856?82? C6ED2CD2=:<6>E5:2?D2=:5:D2B:<<62D2C56?82?A6B 46A2D2?D6D2A $:<2A6B46A2D2?8B2F:D2C:252=29> C D682?82?D2=:252=29 2 # 5 #N# 3 ## 6 #N# 4 #N#

(268) *6B92D:<2?82>32B36B:<ED T2 K T1 A. v 1 2 t. !2>32BD6BC63ED>6?E?;E<<2?8B27:<<646A2D2?D6B 9252AG2<DE52B:5E23E2986B2<36?52H2?8>2CC2?H2 #

(269) 52?# %65E236?52>6?52A2D82H2H2?8C2>2 C69:?882>6?52A2D<2?A6B46A2D2?

(270) 52? 2B: 8B27:<52A2D5:C:>AE=<2?329G2 2

(271) 52?#

(272) # 3

(273) 52?#

(274) # 4

(275) 52?#

(276) # 5

(277) 52?#

(278) # 6

(279) 52?#

(280) #

(281) . . . 106. 4 !* &.$/1 ,5 ,!$/')21#$,% ,1$. 1 ,6@B2?8?6=2H2?>6?H636B2?8:CE?82:>6?88E?2<2? A6B29E52HE?8 *6B29E52HE?8C6=2=E5:2B29<2?D682< =EBECD6B9252A2B292BEC2:B56?82?<646A2D2?> C $:<2<646A2D2?2=:B2?2:B> C9:DE?8=29<646A2D2? D@D2=A6B29E52?2B29?H252=2>>6=:?D2C:CE?82: ,63E2936?525:=6A2C<2?D2?A2<646A2D2?2G2=52B: A6C2G2DH2?8C652?836B86B2<56?82?<6=2;E2?D6D2A $:<2D:52<252A6?82BE92?8:?;6=2C<2?=293282:>2?2 36?DE<=:?D2C2?36?52D6BC63ED ,63E2936?52H2?8>2CC2?H2<836B86B2<C642B2 36B2DEB2?52=2>=:?D2C2?>6=:?8<2B56?82?<646A2D2? > C $:<2;2B:;2B:=:?8<2B2?:DE >36B2A2<2982H2 82H2C6?DB:A6D2=?H2. Mudah dan Aktif Belajar Fisika untuk Kelas X. T2 B. %252=29<2DB@=H2?8C2?82D=:4:? '2CC236?5252? >2C:?8>2C:?8<852?<8 $:<236?525:=6A2C D682?82?D2=:

(282) 52? >2C:?8>2C:?8252=29 2 (52? ( 5 (52?( 3 (52? ( 6

(283) (52? ( 4 (52? ( ,6C6@B2?856?82?>2CC2<85:D:>32?85:52=2>=:7D H2?8 C652?8 >6=E?4EB <6 32G29 56?82? <646A2D2? D6D2A > C $:<2

(284) > C 36B2D@B2?8:DE252=29 2 ( 5 ( 3 ( 6 ( 4 (. . '6?82A2<29@B2?8H2?8C652?8>6?2:<:A6B>2:?2? @?D2?82?D:?8D:52<D6BA6?D2=<6=E2B=:?D2C2??H2 ,63E2932DE56?82?>2CC2 <85::<2D56?82?D2=:52? 5:AED2B C69:?882 =:?D2C2??H2 36B36?DE< =:?8<2B2? F6BD:<2=56?82?;2B:;2B: > $:<2<646A2D2?CE5ED 32DEB25 C52?

(285) > C D6?DE<2?=29D682?82?D2=: A252C22D32DE5:D:D:<D6BD:?88:.

(286)