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# ps06 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall Term 2010 Problem Set 6: Conservation of Energy and Simple Harmonic Motion Due Date: Tuesday October 19 at 9 pm. Oct 11 W06D1 Holiday No Class Oct 12 Class Exam One Review Exam One Tuesday Oct 12 7:30-9:30 pm (See announcements page for rooms) Oct 13/14 W06D2 Simple Harmonic Oscillator Reading Assignment: Young and Freedman: 13.1-13.5 Oct 15 W06D3 No Class Oct 18/19 W07D1 Momentum and Impulse Reading Assignment: Young and Freedman: 8.1-8.5 Oct 20/21 W07D2 Collisions Reading Assignment: Young and Freedman: 8.1-8.5 Oct 22 W07D3 Quiz 5 Energy; Group Problem Solving: Conservation of Momentum Problem 1: The asteroid Toro, discovered in 1964, has a radius of about R = 5.0km and a mass of about m Toro = 2.0 ! 10 15 kg . Let’s assume that Toro is a perfectly uniform sphere. What is the escape velocity for an object of mass m on the surface of Toro? Could a person reach this speed (on earth) by running?

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2 Problem 2: A particle is released from rest at the position x = x 0 in the potential described below. U ( x ) = ! ax ; x < 0 bx 2 ; x > 0 " # \$ % Determine whether the following statements are true or false. Briefly explain your reasoning. True False The subsequent motion is harmonic. True False The subsequent motion is periodic. True False The velocity is a continuous function of time. True False The acceleration is a continuous function of time. True False The force is conservative. Problem 3: Consider a roller coaster in which cars start from rest at a height h 0 , and roll down into a valley whose shape is circular with radius R , and then up a mountain whose
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ps06 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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