Lect06-Phys172s11-(3.3-3.10-Gravity,Iterative_prediction,Electrical_force,Uncertainly)

# Lect06-Phys172s11-(3.3-3.10-Gravity,Iterative_prediction,Electrical_force,Uncertainly)

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Spring 2011 PHYS 172: Modern Mechanics Lecture 6: Gravity, Iterative prediction, Electrical force, Uncertainty Read 3.3–3.10 VERY IMPORTANT: Scores for lecture 2-5 quizzes were imported into CHIP . More than 100 students did not enter clicker ID into chip or entered them incorrectly Please check your scores a.s.a.p. If you used iClicker in lectures but your score does not appear in CHIP, chances are that have not registered your iClicker ID with CHIP, or entered wrong ID. Please reenter your ID and notify your lecturer immediately. No complaints will be considered after lecture #8. The failure to do that by today’s date may affect your Roll Call state. The gravitational force law: Application 2 1 on2by1 2 1 2 2 1 ˆ grav m m F G r r - - = - ° ° m 1 m 2 2 1 r - ° 2 1 ˆ r - Newton 2 1 2 1 r r r - - ° ° ° m 1 m 2 2 r ° 1 r ° 2 11 2 N×m 6.7 10 kg G - = × Cavendish Gravitational constant

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Gravitational force on a planet star planet 2 1 on 2by1 2 1 2 2 1 ˆ grav m m F G r r - - = - ° ° 30 1 11 1 4 10 kg 2,1,1.5 10 m m r = × = × ° 24 2 11 2 3 10 kg 3,3.5, 0.5 10 m m r = × = - × ° 1. Calculate 2 1 2 1 r r r - - ° ° ° 11 2 1 1,2.5, 2 10 m r - = - × ° 2 1 r - ° 2. Distance ( ) ( ) ( ) 2 2 2 11 11 11 11 2 1 1 10 m 2.5 10 m 2 10 m 3.35 10 m r - = × + × + - × = × ° 3. Unit vector: 11 2 1 2 1 11 2 1 1,2.5, 2 10 m ˆ 0.299,0.746, 0.597 3.35 10 m r r r - - - - × = = = - × ° ° 3. Force: 21 2 1 on 2by1 2 1 2 2 1 ˆ 7.16 10 0.299,0.746,-0.597 N grav m m F G r r - - = - = - × ° ° 21 on planet bystar 7.16 10 -0.299,-0.746,0.597
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