Gaya Dorong Roket Termodinamika • 179

106 Mudah dan Aktif Belajar Fisika untuk Kelas XI Peta Konsep ,G5G4A +0,0.00 B8AFG CG?E GG884?4A B8AFG ,G5G4A ,748AFA:+44+84? ,G5G4A 8AFA:+854:4A ,G5G4A 8AFA:+8CGDA4 Setelah mempelajari bab ini, tentu Anda dapat memahami konsep momentum, impuls, dan tumbukan. Anda juga tentu dapat menjelaskan jenis-jenis tumbukan yang mungkin terjadi dan hukum apa saja yang berlaku di dalamnya. Dari keseluruhan materi yang telah Anda pelajari, bagian manakah yang menurut Anda sulit? Coba Anda diskusikan dengan teman atau guru Fisika Anda. Refleksi Dengan mempelajari bab ini, Anda dapat mengetahui bahwa untuk mengukur kecepatan peluru tidak harus memasang alat ukur pada peluru. Anda cukup menghitung jejak yang ditinggalkannya, seperti pada bandul balistik. Nah, coba sebutkan manfaat lain mempelajari bab ini. 854;4E 7:GA44A GAFG 8A:4A4?EE 58D?4G C474 =8AEAJ4 58D?4G Momentum, Impuls, dan Tumbukan 107 Tes Kompetensi Bab 4 ..023,,-,00 8AECG?E474?4; 4 23232,3 M 5 23232,3 M 6 2323 M 2,3 M 7 2323 M 2,3 8 2323 2,3 G458A748?4EE4J4A:E44E874A:4A B8AFG58A74C8DF447G44?B8AFG58A74 87G4 8D54A7A:4A8A8D:A8F58A74C8DF4474A 58A7487G4F8DE85GF474?4; 4 5 6 7 8 454D58DGF8AGA=G4A:D4974D:8D4 E85G4;58A74J4A:4EE4AJ4: B8AFG58A74 F8DE85GF474?4; 4 : E 5 : E 6 : E 7 : E 8 : E +85G4; 5B?4 5??4D 7EB7B 8A::GA44A FBA:4F 78A:4A:4J4A8IFBA74?4I4FG?E8BA 44EE45B?4 :868C4F4A5B?4E8F8?4;7EB7B 474?4; 4 E 5 E 6 E 7 E 8 E D49B8AFGF8D;474CI4FG74DE85G4; 58A7458D4EE4J4A:7F8544AH8DF4?84F4E 474?4; 4 t p 5 t p 6 t p 7 t p 8 t p +85G4;5B?474D84744A747CGG?78A:4A:4J4 A8IFBA;A::48?8E4F78A:4A868C4F4A E 44EE45B?4:C8GG?44A8AJ8AFG;5B?4 E8?44 4 N M E 5 N M E 6 N M E 7 N M E 8 N M E 4J4J4A:7C8D?G4AGAFG8A:;8AF4A58A7458D 4EE4:J4A:58D:8D478A:4A868C4F4A E ;A::458D;8AFE8F8?4;E8BA474?4; 4 A8IFBA 5 A8IFBA 6 A8IFBA 7 A8IFBA 8 A8IFBA 8A7458D4EE48?B8AFG74A8A8D: A8F 4 8A8D: A8F 58DG54; 8A=47 B8AFGAJ48A=47 4 5 6 7 8 B?474A8?B8AFGJ4A:E4474A 4EE444 4 868C4F4A868C4F4A 5 8A8D:A8F8A8D:A8F 6 8A8D:A8F8A8D:A8F 7 8A8D:A8F8A8D:A8F 8 868C4F4A868C4F4A 2 4 s m t s 8 108 Mudah dan Aktif Belajar Fisika untuk Kelas XI +8BD4A:4A4J4A:4EE4AJ4:E874A:58D7D74F4E C8D4;G58D4EE4 :J4A:E874A:8?GA6GD84D4; GF4D478A:4A868C4F4A E ,54F544A4F8DE85GF 8?BA64F 8 4D4; E8?4F4A 78A:4A 868C4F4A E 868C4F4AC8D4;GF8DE85GF8A=47 4 E 8 E 5 E 7 E 6 E 8D74E4D4AEB4?ABBD=44D4;?BA64F4A4A48 GF4D4868C4F4AC8D4;G44A8A=47 4 E 5 E 6 E 7 E 8 E 474 FG5G4A ?8AFA: E8CGDA4 58D?4G ;GG 884?4A 4 B8AFG 5 8A8D:A8F 6 8A8D:CBF8AE4? 7 8E8F54A:4A 8 8A8D:A8F74AB8AFG +85G4;58A74=4FG;5854E74D8FA::4A 8A74 8A:8A4 ?4AF4 7C4AFG?4A 854? E864D4 F8:4 ?GDGE 4B89E8AD8EFFGE4AF4D45B?478A:4A?4AF4 FA::C4AFG?4A5B?4474?4; 4 5 6 7 8 +85G4;5B?4=4FG;5854E74D8FA::4A 74F4E ?4AF4 4FG5G4A78A:4A?4AF48?4EFEE854:4A 78A:4AB89E8AD8EFFGEAJ4868C4F4AC4AFG?5B?4 E8F8?4;8AG5G?4AF4474?4; 4 E 5 E 6 E 7 E 8 E +85G4;5B?4=4FG;5854E74D8FA::4A74F4E ?4AF4 4B89E8AD8EFFGE4AF4D45B?478A:4A?4AF4 FA::C4AFG?4A5B?4474?4; 4 5 6 7 8 478F4;G58A7458A7458DGF7;8AF4AB?8; 7A7A:74?4E8?4A:I4FGJ4A:E4474AF4D458A74 58A74 F8DE85GF J4A: 8A:4?4 :4J4 F8D58E4D C474 I4FG58DFG5G4A78A:4A7A7A:54FG474?4; 4 58A74J4A:58D4EE4:58D:8D478A:4A ?4=G E 5 58A74J4A:58D4EE4:58D:8D478A:4A ?4=G E 6 58A74J4A:58D4EE4:58D:8D478A:4A?4=G E 7 58A74J4A:58D4EE4:58D:8D478A:4A?4=G E 8 58A74J4A:58D4EE4 :58D:8D478A:4A?4=G E +85G4;58A7458D4EE4:58D:8D484A4A78A:4A 868C4F4A E74A8AG5G58A74?4AJ4A:58D 4EE4 :74A58D:8D48D78A:4A58E4D868C4F4A E 4 87G4 58A74 E4?A: 8?84F E8F8?4; FG5G4A868C4F4A87G458A74F8DE85GF474?4; 4 E84A4A 5 E8D 6 E84A4A 7 E8D 8 AB? 8?GDG 58D4EE4 : 58D:8D4 78A:4A 868C4F4A E858E4D E74A8A85GEE85G4;54?B58D4EE4 :J4A:7474F4E574A:74F4D?6A 868C4F4A C8?GDG E8F8?4; 8A85GE 54?B 474?4; E 868C4F4A54?B4D8A4F8DF85GEC8?GDG474?4; 4 E 5 E 6 E 7 E 8 E +85G4;5B7?8C4D4AH8DF4?84F4E 474FF F8DFA::5BF8DE85GF8?8748A=477G454:4A 78A:4A C8D54A7A:4A 4EE4 +8E44F E8F8?4; 8?874868C4F4A54:4A5BJ4A:58E4D E 868C4F4A54:4A5BJ4A:86?474?4; 4 E 5 E 6 E 7 E 8 E G45G4;58A7474A4EA:4EA:4EE4AJ4: 58D:8D4E4?A:58D?4I4A4A78A:4A868C4F4A E 74A E 4FG5G4AJ4A:F8D=47?8AFA:E8CGDA4 868C4F4A58A7474A474?4; 4 E74A E 5 E74A E 6 E74A E 7 E74A E 8 E74A E Momentum, Impuls, dan Tumbukan 109 2,-3-0, +85G4; 58A74 58D4EE4 : 7=4FG;4A F4AC4 868C4F4A4I4?74D8FA::4A 4C8D68C4F4A :D4HF4EG E F8AFG4A?4;B8AFG 58A74E44F8AG5GF4A4; +85G4; B5? 58D4EE4 : 58D:8D4 78A:4A 8?4=G4A E FGA:?4;:4J4D8J4A:7C8D?G4A 4:4DB5?58D;8AFE8F8?4;E8BA G45G4;58A7474A8?4EE4:74A : 4868C4F4A58A746 E74A868C4F4A 58A746 E74A:8D487G458A74F8DE85GF 58D?4I4A4A4D4;F8AFG4A868C4F4AE8F4C58A74 E8F8?4;FG5G4A=4 4 87G458A748?84F8A=47E4FG74A 5 FG5G4AJ4A:F8D=47?8AFA:E8CGDA4 +85G4; 5B?4 58D4EE4 : J4A: 58D:8D4 78A:4A 868C4F4A E8A45D45B?4?4AJ4A:E874A: 58D:8D4E84D4;78A:4A868C4F4A E74A58D4EE4 : +8F8?4;FG5G4A87G45B?458D:8D458DE44 8D4C44;8?4=G4A87G45B?4E8F8?4;FG5G4A +85G4;5B58D4EE4:7F8544AH8DF4?8 4F4E78A:4A868C4F4A4I4? E +8F8?4; E 5B8?8748A=477G454:4A4EA:4EA: :74A: +8E44FE8F8?4;8?87454:4AJ4A: 86?58D868C4F4A E58D:8D4H8DF4?84F4E 8D4C4868C4F4A54:4AJ4A:58E4D +85G4;58A7458D4EE4:58D:8D478A:4A868 C4F4A E8A:8A4?4AF478A:4AEG7GF74F4A:L 74A7C4AFG?4A854?78A:4AEG7GFC4AFG?L 4 ,8AFG4A B89E8A D8EFFGE FG5G4A 58A74 F8DE85GF 5 ,8AFG4A58E4DAJ4C8DG54;4AB8AFG58A74 F8DE85GF +85G4;54?B58D4EE4 :F8D?8F474F4E?4AF4?6A 8?GDG 58D4EE4 :D4 7F8544A ;BDKBAF4? 8A:8A4 54?B 74A C8?GDG 74 7 74?4 54?B F8DE85GF 4?B58D:8E8DE8=4G; 8F8D74?4I4FG 78F 8D4C44;868C4F4AC8?GDG8F48A:8A4 54?B E 4A=58D4EE4:8A4C8D4;G58D4EE4: J4A:E874A:8?GA6GD8FGD78A:4A868C4F4A E858E4D E ,54F54 4A= 8?BA64F 78A:4A 868C4F4A E F8D;474C C8D4;G 8D4C44; 868C4F4AC8D4;GE8E44FE8F8?4;4A=8?BA64F=4 4 4D4;?BA64F4A8FGD74A 5 4D4;?BA64F4A8GF4D4 8D;4F4A:454D58DGF B?474A4EA:4EA:58D4EE4 :74F 78A:4AE8GF4EF4?J4A:C4A=4A:AJ4C474C4G ,4?5B?474D4;4A8A74F4D8G74A7?8C4E4A 8AG5G 5B?4 8D4C4 FA:: 4EG J4A: 764C45B?4=4 E 74AFG5G4A87G4 5B?458DE94F 4 ?8AFA:E8CGDA4 5 ?8AFA:E854:4A78A:4A74A 6 F74?8AFA:E44E84? +8:GC4? C?4EFEA 58D4EE4 : 7F8544A 78A:4A868C4F4A E8A:8A454?B58D4EE4 :J4A:7474F4E?4AF44E4D 4C?4EFEA 8A8C8?C47454?B74A:4J4:8E84AF4D454?B 74A?4AF458D4C44;C4A=4A:C8D:8E8D4A54?B A B P 1 m 1 m 110 Mudah dan Aktif Belajar Fisika untuk Kelas XI Proyek Semester 1 474E88EF8DAA74F8?4;58?4=4DBAE8CF8AF4A:8D474A4J4 -AFG ?85; 8AA:4F4A C84;44A F8AF4A: BAE8C F8DE85GF A74 7FG:4E4A 8?4G4A8:4F4AE88EF8DE864D458D8?BCBMBD4A: 4A:4;8:4F4A J4A: ;4DGE A74 ?4G4A F8D64AFG 74?4 FG:4E E88EF8D +854:4 FG:4E 4;D 8:4F4AA7458DE448?BCBA747FG:4E4A85G4F?4CBD4A8:4F4AE8 8EF8DJ4A:44A7CD8E8AF4E4A74;DE88EF8D BD4F?4CBD4AF8D7D4F4EG7G? ,G=G4A?4F74A4;4ADBE87GD8A8?F4A4F4A4?EEE8DF48ECG?4A74A +4D4AF8D;474CC8A8?F4AJ4A:F8?4;7?4G4A Kereta Dinamika 00 8C8?4=4DGG8IFBA 8D8F47A44 4C4A?4A74E4A 6N6N 674A4FDB?8=458D748F8D6 68?4;CF4674A,.AJ4 854A:4AFGA: :H4D4E 74A: 8DF4E4D5BA74A58A4A:A?BA -+.0-- + -GD 4EE4 8D8F4 7A44 74A 5854A :4AFGA: G?4; 4EE4 87G4AJ4 74A::4CE854:44EE4EEF8 +GEGA4?4F4?4FE8C8DFC474:454D58DGF GA44AE854:4A5854A:4AFGA:GAFG8A::8D44A8D8F47A4474A EE4AJ4EC4A74F4E8D8F47A44 8D44A 8D8F4 7A44 58DE444A 78A:4A 7;7GC4AAJ4 8AF4A8D8F47A44C474E44F5854A:4AFGA:F8C4F44AF547?4AF474A E8:8D44F4A ,8?F=8=48F4A C474CF48DF4E 4 EG74;54:GE;4E?AJ4?4A=GF4A?4A:4;58DGFAJ4 4G4A ?4A:4; 87G4 74A 8F:4 7 4F4E 4? 78A:4A 5854A :4AFGA: C8A::8D4J4A:58D5874A4GA78A:4A4EE4EEF8F8F4C + 8A:4A8DF4ECF4J4A:7C8DB?8;74DC8D6B544A8D8F47A445G4F?4; :D49+GAFGE8F4CC8D6B544A ,8AFG4AC8D68C4F4AEEF874DE8F4C C8D6B544A58D74E4D4A:D49J4A:A745G4FF8DE85GF G4F?4;:D49;G5GA:4A4AF4D4D8EG?F4A:4J478A:4AC8D68C4F4AEEF8 C44; ;4E?AJ4E8EG478A:4AGG8IFBA8D4AC8A=8?4E4A ,8AFG4A58E4D:4J4:8E8J4A:F8D=4774?4C8D6B544AF8DE85GF katrol beban gantung papan landasan benang nilon sisa beban kereta dinamika ticker timer pita 111 ..023,,-,00 2 kg A 1 kg B 4 kg A 1 kg B m F 30° Tes Kompetensi Fisika Semester 1 8D68C4F4AE85G4;C4DF8?C474E44F474?4;M G?4G?4 C4DF8? 58D:8D4 78A:4A 868C4F4A .8FBD868C4F4AC4DF8?C474E44F474?4; 4 M 5 M 6 M 7 M 8 M +85G4;C4DF8?58D:8D4E8EG478A:4AC8DE444ACBEE M M =74?48F8D74A74?4 78F 8E4D868C4F4A58A74C474E44F78F 474?4; 4 E 5 E 6 E 7 E 8 E G45G4;58A7474A4EA:4EA:58D4EE4: 74A:7;G5GA:4A78A:4AF4?4EE4F4?74544A 8?4?GE85G4;4FDB?58D4EE4 :74A58D=4D=4D 6 458A7458DCGF4D78A:4AF4?C8D68C4F4AE8F4C58A74 474?4; E 4 E 5 E 6 E 7 E 8 E +85G4;C4DF8?G?4G?4748G74A7C8D68C4F 74?4?AF4E4A8?A:4D78A:4A=4D=4D 8AGDGF C8DE444AC8D68C4F4A M 8DE444A868 C4F4AE8AFDC8F4?AJ4474?4; 4 M 5 M 6 M 7 M 8 M M +85G4;B5?58D4EE4 :8?GA6GD78A:4A 868C4F4A =48G74A7D878A:4A:4J4 4B89E8A:8E8A8F4AF4D4DB7474A=4?4A 8G74A 58D;8AF E8F8?4; 78F 58E4D :4J4 C8A:8D84A 474?4; 4 5 6 7 8 8D;4F4A:454D58DGF=45854A7?8C4E4A 54?BF8C4F44A58D:8D4 4C8D68C4F4A:D4HF4E E B89E8A:8E8EF4FE 4AF4D454?B74A8=4474?4; 4 7 5 8 6 8D;4F4AEGEGA4A58A7458A74C474:454D58DGF B89E8A:8E8A8F4AF4D454?B74A8=4474?4; 45854A7?8C4E4AC8D68C4F4A58A74 474?4; E 4 E 7 E 5 E 8 E 6 E 8D;4F4A:454D58DGFA B89E8A:8E8A8F4AF4D458A7478A:4A574A: DA:474?4;74AC8D68C4F4A:D4HF4EG 8E4DAJ4 :4J4 J4A: 75GFG;4A GAFG 8A7BDBA: 58A7478A:4A4EE4EGC4J474C4F58D:8D484F4E 78A:4A868C4F4AF8F4C474?4; 4 5 6 7 8 112 Mudah dan Aktif Belajar Fisika untuk Kelas XI +85G4;58A7478A:4A4EE4758D:4J4 ;A::4 58D:8D4 4:4J4:8E84AF4D458A7474A?4AF4E44 78A:4A C8D68C4F4A:8D458A74474?4; 4 5 6 7 8 +8BD4A:A8?4J4A8AJ858D4A:EGA:48A::GA44A C8D4;G74JGA: 8D4;G74JGA:F8DE85GFE8?4?G74D4; 4AF8:4?GDGEF8D;474C4D4;4DGE4D78A:4A868C4F 4A EE874A:4A868C4F4A4?D4A4D E 868 C4F4AFBF4?C8D4;G74A4D4;AJ474?48?AF4EEGA:4 474?4; 4 E74AL 5 E74AL 6 E74AL 7 E74AL 8 E74AL 8?GDG 7F8544A 78A:4A EG7GF 8?8H4E L 74A 868C4F4A4I4? E 4C8D68C4F4A:D4HF4E E 87G7G4AC8?GDGE44FE8BA 474?4; 4 -. 5 - . 6 - . 7 - . 8 -. +85G4;C8?GDG7F8544A78A:4A868C4F4A4I4? E74AEG7GF8?8H4EAJ4L 8D54A7A:4AFA:: 4EG74AFF=4G;4EGJ4A:764C4B?8; C8?GDGF8DE85GF474?4; 4 7 5 8 6 474C8D4A4AE8C45B?45B?4J4A:7F8A74A: 8?4J4A: 7 G74D4 E8?44 78F 78A:4A EG7GF 8?8H4EL 4:8E84A78A:4AG74D474544A 74A E 5B?48A64C4=4D4E8=4G; 4 5 6 7 8 +85G4; E8C874 BFBD 858?B C474 FGA:4A 58D58AFG5GEGD?A:4D4A78A:4A=4D=4D 4 B89E8A:8E84A4AF4D4DB7474A=4?4A 74A E 868C4F4ABFBDF8D58E4D4:4DE8C874B FBDF74E?C474?4; 4 E 5 E 6 E 7 E 8 E +85G4;B5?8A8CG;E85G4;58?B4A=4?4AJ4A: 74F4D78A:4A8?4=G4A =4 4B89E8A :8E84AF4D454AB5?74A=4?4A474?4;=4D=4D AG58?B4AB5?474?4; 4 7 5 8 6 +85G4; 54?B 58D4EE4 : F8D?8F4 C474 574A: 8A74F4D J4A: 8CGAJ4 B89E8A :8E8 A8F 4?B758D:4J4 74A58DEG7GFLF8D;474C 574A:8A74F4D 8D68C4F4A54?BF8DE85GF474?4; 4 E 5 E 6 E 7 E 8 E 44EE4G?4A 4?4EE4G74A=4D=4DG?4A 4?=4D=4DGC8D54A7A:4A:4J4F4DG F8D;474CG?4A474?4; 4 7 5 8 6 4C8D54A7A:4A=4D=4DG7;4FG?EFI474A7 GFG5C8D54A7A:4AC8D68C4F4A:D4HF4EG7 ;4FG?EFI474A7GFG5474?4; 4 7 5 8 6 8D54A7A:4A=4D=4DE85G4;C?4A8F C 74A=4D=4D G 5 474?4; E874A:4A4EE4C?4A8F C 74A4EE4G C 58D54A7A: D4A:J4A: 58D4FAJ47G7C?4A8FF8DE85GF8A=47 4 7 5 8 6 Tes Kompetensi Fisika Semester 1 113 4EE4=4D=4DC?4A8F0E4478A:4A4?4EE4G 74A58D=4D=4D4?=4D=4DG 8D4F58A747 C?4A8F 0 754A7A:4A 78A:4A 58D4FAJ4 7 G 8A=47 4 4? 5 4? 6 a b 4? 7 4? 8 4? +85G4; E4F8?F 58D474 C474 8FA::4A 7 4F4E C8DG44AG 478F4;G=4D=4DG474?4; C8DB78E4F8?FF8DE85GF8A:8??A:G474?4; BD5FE4F8?F74A::4C58DGC4?A:4D4A 4 5 6 7 8 +85G4;58A74J4A:58D4747G?4A58D:8D478A:4A C8D68C4F4A4D8A48A74C4F:4J4 458A74 F8DE85GF754I48GJ4A::4J4:D4HF4EAJ48A4 4?4EE4G?4A74A58A74F8DE85GF758D:4J4 =G:4 C8D68C4F4A474?4; 4 5 6 7 8 8AGDGF GG 8C?8D G47D4F C8DB78 EG4FG C?4A8F8A:8??A:4F4;4DE854A7A:78A:4A 4 4EE4C?4A8F 5 =4D4C?4A8F84F4;4D 6 C4A:4FF:44EE4C?4A8F 7 C4A:4FF:4=4D4C?4A8F84F4;4D 8 G47D4F=4D44F4;4D8C?4A8F 4C8DB78E4F8?FJ4A:8A:BD5FG78A:4A=4D =4D N E858E4D=4C8DB78E4F8?FJ4A: =4D=4DBD5FAJ4 N 474?4; 4 =4 7 =4 5 =4 8 =4 6 =4 +8BD4A:A8?4J4A8A4DC8D4;GAJ478A:4AEG7GFL F8D;474C4D4;;BDKBAF4?74AC8D4;G58DCA74;E8=4G; 4A8?4J4AF8DE85GF8A4DC8D4;G78A:4A :4J4 58E4D GE4;4 J4A: 7?4G4A A8?4J4A F8DE85GF474?4; 4 7 5 2 8 6 3 +85G4;5B?458D4EE4:7?8C4DH8DF4?84F4E;A::4 8A64C48FA::4A 8DG54;4A8A8D:CBF8AE4? 8F45B?458D474C4748FA::4A474?4; 4 7 M 5 8 6 M +85G4;58A74=4FG;5854E74DF8C4FJ4A:FA::AJ4 48A8D:CBF8AE4?AJ4G?4G?4E858E4D 74A E 868C4F4A58A74F8C4FE858?GE4C4 7F4A4;474?4; 4 E 7 E 5 E 8 E 6 E +85G4; 8EA 8A74D44A 58DBFBD 8? 74J4 E858E4D;C 4FGJ4A:7C8D?G4A8EAF8DE85GF GAFG8A:;4E?4A:4J4 74A8A::8D44A 8A74D44AE8=4G;474?4; 4 E8BA 7 E8BA 5 E8BA 8 E8BA 6 E8BA +85G4;:D4A4F58D4EE4:F54F548?87474A C864;8A=477G454:4A78A:4AC8D54A7A:4A4EE4 C864;4A 74A 58D:8D4 58D?4I4A4A 4D4; 4 C864;4A J4A: 86? 8? 868C4F4A E C8D54A7A:4A 8A8D: A8F C864;4A C8DF44 74A C864;4A87G4E8E44FE8F8?4;:D4A4FF8DE85GF8?874 474?4; 4 7 5 8 6 4EC4A4EJ4A:7;4E?4AB?8;E85G4;DB8F8? 8?4=G4A E74AF8D=47C8544D4A:4EE854AJ4 :74?4I4FGE4FGE8BA 8E4DAJ4:4J47BDBA: DB8FF8DE85GF474?4; 4 7 5 8 6 114 Mudah dan Aktif Belajar Fisika untuk Kelas XI 474EGEGA4A58A7458A74E8C8DFC474:454D4EE4 58A7474AE44J4FG: 4B89E8A:8E84AA8F4AF4D458A7474A574A: DA:474?4; 74AF4A 58D4C44;C8D68C4F4A E8F4C58A74=487G458A74F8DE85GF7?8C4E4A 8D;4F4A:454D58DGFA 487G458A747?8C4E4AF4?8?F8:4A:4A 4EA 58D4C44;B89E8A:8E84AF4D4 58A7474A574A: G458A7474AF8DEGEGAE8C8DF:454D58DGF 4EE4:74A4EE4: E ,8AFG4A58E4DC8D68C4F4A58A7474AF8:4A:4A F4?AJ4 =4 B89E8A :8E84A EF4FE 4AF4D4 574A: 78A:4A58A74474?4; +85G4;B5?58D:8D478A:4AC8D68C4F4AF8F4CJ4FG E858E4D E +8F8?4;8A8CG;=4D4F8DAJ4F4 868C4F4AAJ48A=47 E 4 8D4C44;868C4F4A4I4?B5?F8DE85GF 5 8D4C4?44I4FGF8CG;B5?F8DE85GF 2,-3-0, 4EE4C?4A8F1GCF8D474?4;N :74A4EE4 4F4;4D N : 4=4D44AF4D44F4;4D 74AC?4A8F1GCF8D474?4;N 74AE858E4D N M :F8AFG4A 4 :4J4:D4HF4E4F4;4DC474C?4A8F1GCF8D74A 5 ?4=G?A84DBD5FC?4A8F1GCF8D=4?AF4E4AAJ4 74A::4CE854:4?A:4D4A 8D4FE8E8BD4A:7G474?4; 4=4D=4D GN 4EE4GN : 74ABAEF4AF4:D4HF4EN M : 58D4C44;58D4FBD4A:F8DE85GFC4748FA::4A74D C8DG44AG 8F4;G4EE4GN :=4D=4DG N 74AN M : 4 E85G4;E4F8?FJ4A:4EE4AJ4 :58D874DC474 8FA::4A 74D C8DG44A G 78A:4A ?AF4E4A58D58AFG?A:4D4A58D4C44;?4=G?A84D E4F8?FF8DE85GF +85G4; 58A74 7?8C4D4A 8 4F4E 78A:4A 8A8D: A8F =BG?8 8F4;G4EE458A74: 74A E +8F8?4;8A64C4FFCGA6458A74 F8DE85GF854?8F4A4; ,8AFG4A?4;8A8D:A8F 58A74C474E44F8A64C48FA::4A8F8D74D F4A4; 4EE4FBF4?E85G4;DB8FFBA 4?4I4FG E8BADB8FF8DE85GF4CG8AJ85GD4A:4E C4A4EE854AJ4: 8F4;G:4EC4A4EF8DE85GF 7E85GD4A8?G4D78A:4A868C4F4A E A::4CC8DG54;4AC8D54A7A:4A=G?4;54;4A544D 74A4EE4DB8FE4A:4F86?74AC8D68C4F4A:D4HF4E G E ,8AFG4A?4;=4D4=8?4=4;DB8F74?4 I4FG8AF +85G4;54?B58D4EE4 :58D47474F4E?4AF474A 74?484744A74 B89E8A:8E854?B74A574A: ;BDKBAF4? 8G74AE85GFDC8?GDG58D4EE4 :7F8544A;BDKBAF4?8A:8A454?BF8DE85GF 74A74774?454?B 454?B58D:8E8DE8=4G; 8F8D 58D4C44; 868C4F4A C8?GDG 8F4 8AG5G54?B B A B = 2 kg A = 8 kg A B 115

A. Kinematika Gerak Rotasi

B. Dinamika Gerak Rotasi

C. Kesetimbangan Benda Tegar

3?6962;3:76A53?9AB0B63=?5A:3A3:=1A726 35A:3AA3?30BA3::B;339B9AB0B6E93A79;B:703?BA?3A79 932B:352997E27A39B97;35:;753?9?=A7:307613A 27027592A27?3A59:77273?=:36970A35B?5 ;=;373?7E527;7:797AB0B6E3;B27793;0:7;3?3A59 AB0B6E 93A79 6329 ;3239A7 7? 5? ;3;3?=:36 ;=;3 73?7 E5 :3076 03? 36755 9313A B2BAE ;3827 :3076 9317: ::B ;B9 93 2:; 7? 235 6:B A A3?235? 0BE7 3?179 7? :; 00 77 2 9 ;3;3:8?7 ?77?77 4779 E5 ;38271B2?73?7A7DA3?30BA:;93672B36?76?72 90E9;33;B9:79733?9=327;79?=A72 933A7;05 032 A35? Gerak Rotasi dan Kesetimbangan Benda Tegar Peloncat indah menekuk tubuhnya ketika mulai berputar dan merentangkan tubuhnya ketika hendak mendekati air. Sumber: Contemporary College Physics, 1993 memformulasikan hubungan antara konsep torsi, momentum sudut, dan momen inersia berdasarkan Hukum II Newton, serta penerapannya dalam masalah benda tegar. Setelah mempelajari bab ini, Anda harus mampu: menerapkan konsep dan prinsip mekanika klasik sistem kontinu dalam menyelesaikan masalah. Hasil yang harus Anda capai: Bab 5 Mudah dan Aktif Belajar Fisika untuk Kelas XI 116 E527;9B2235;=;35E;=;3 9=3:2;=;373?7 6B0B5A?B9B;3939:=;3 AB;B2BA2B9B;3:3? 1-.,+-.,0+0 +++..+,, .10 110+ 30BA9837837933A7;05 3:9 235062327?7 353?A72?7A7A7903?A032 Tes Kompetensi Awal

A. Kinematika Gerak Rotasi

792;3;3?6A7930B67?7567A;E532503?BA? AB 0:750:75 97 57 E5 325 03?BA? 2 9 ;3:76A 06D 7?75 67A; 2 0:750:75 97 57 A3?30BA ;3:9B9 53?9 ?=A7 2 30B6 B;0B A7=3? A3A 2:; 93?59 1B 73?7A3?A3AB=A=6:72?7032A35?E532503?=A72:6 0 332 E5 325 03?BA? 2 9=;727 BA?

1. Posisi Sudut dalam Gerak Rotasi

3?6A79 . E5 ;3239?779 30B6 032 A35? 03?03AB9:759?E503?=A72B;0BA3A2A359:B?BA3?62 0725 -. 7A79 A3?:3A9 2 032 36755 5?7 03?=A7 03?; 032 A3?30BA B2BA E5 2703AB9 =:36 5?7 2 B;0B-- ;3239?779 =77 032 A 032 03?=A7 B2BA 2703AB9=:3630B60BB?2:759?03?8?78?7 7:7 B2BA 2:; ?27 27EA9 235 3?; I ==?27A ;33AB9=77?=A72?7032A35?2BAB D9AB 792A=77B2BA032 ;92A =77B2BAE

2. Kecepatan Sudut Rata-Rata dalam Gerak Rotasi

;6:E23553?9:73?2:;53?9?=A79313AB2BA ?A?A 272347779 3057 3?0275 A? 3?B06 B2BA A3?623?B06D9AB 3?6A79 . ?72 032 A35? 03?03AB9 :759? E5 03?=A7 ;3;03AB9 B2BA A3?62 B;0B-- 2 D9AB 3;B27 2 A B2BA E5 2703AB9E 03?B06 ;3827 35 23;797 9313A B2BA ?A?AE 2:6 ?A?A I :36 9?3 ;3;7:797 AB 23?8A ?27 AB BA? 9313A B2BA ?A?A 2A 27EA9 235 AB 23?8A 39= ?2739= AB BA?39= Gambar 5.1 Baling-baling kipas berotasi pada porosnya. Gambar 5.2 Sebuah benda tegar berbentuk lingkaran berotasi pada sumbu koordinat O. y x P r O Gambar 5.3 Perpindahan sudut sebesar dari sebuah benda tegar yang berotasi pada saat t 1 dan t 2 . y x P,t 2 P,t 1 O s Gerak Rotasi dan Kesetimbangan Benda Tegar 117

3. Kecepatan Sudut Sesaat dalam Gerak Rotasi

57;96 1? ;35B9B? 9313A B2BA 3A 2?7 30B6 032A35?E503?53?9?=A7;6:E23553?9:73?2:; 53?9?=A79313AB2BA3A 27A3AB92:;3:5D9AB E5 5A 759A 36755 3?B06 9313AE 5A 9317: :36 9?3 7AB 9313A B2BA 3A 2 53?9 ?=A7 27EA9 235 3?; :7; :7; AB I 35 23;797 9313A B2BA 3A ;3?B9 AB?B 3?A; 2?7 3?; =77 B2BA 3057 4B57 D9AB 3?6A79 5?479 A3?62 2 . 79 2 1 t t t 5A 9317: AB ;3239A7 =: A7A79 9 5A 239A 235 AB 069 03?7;7A 36755 93;7?75 5?273 5?479 A3?62 27 A7A79 ;3?B9 9313A B2BA 3A :36 9?3 7AB 9313A B2BA 3A 2A B: 27EA9 235 3?; 03?79BA A I

4. Percepatan Sudut dalam Gerak Rotasi

30B6?A793:E503?53?9?=A79;3;7:7973?13AB2BA 879 ?A793: A3?30BA ;35:;7 3?B06 9313A B2BA 35 23;797 3?13A B2BA 2:6 3?B06 9313A B2BA 3A7 AB D9AB 36755 ABE 2:6 ?2

a. Percepatan Sudut Rata-Rata

3?13A B2BA ?A?A 27EA9 235 :;05 79 30B6 ?A793: 03?53?9 ;3:759? 235 9313A B2BA 1 2 A 93;B27 03?B06 ;3827 2 2 A 3?13A B2BA ?A?A ?A793:A3?30BA2:;3:5D9ABD27EA9235 3?; 03?79BA AB I

b. Percepatan Sudut Sesaat

2A3:6;353A6B706D9313AB2BA3A 27A3AB9 2:; 3:5 D9AB E5 5A 759A 36755 3?B06 9313AE 5A 9317: ; 6:E 235 9313A B2BA 3A 3?13AB2BA3A 8B5;3?B93?13AB2BA?A ?A E5 A3?827 2:; 3:5 D9AB E5 5A 759A AB 35 23;797 3?13A B2BA 3A 27EA9 235 3?; 03?79BA t 1 t 1 ts P Q ?2 Gambar 5.4 Kecepatan sudut sesaat dapat ditentukan dari gradien grafik terhadap t pada sebuah titik.