Prelim 2 Practice - t J I Note In 2001 I covered forced and...

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J t / I Note: In 2001, I covered forced and damped harmonic oscillators before rotation, so there were no rotational problems on the 2 nd prelim. There will be this year. Therefore I have also included some practice questions from the 2001 final. f:\ Questions from Phys. 116 Prelim #2, 2001 \!) (5 points) Suppose rain falls vertically into an open cart rolling along a straight horizontal track with negligible friction As a result of the accumulating water, does the kinetic energy of the cart + water increase, decrease, or stay the same? Explain. 2. (5 points) If a potential energy is known at every point in space, can the force always be determined? Explain. er 7 'F -z: all;' ~ . ~ '. . 3. (5 points) If a forceis known at every point in space, can a potential energy always be determined? .Explain. (Since the zero of potential energy has no physical significance, I ~ ~ . care only whether the potential energy can be determined up to an arbitrary constant) 'F l!- J FOe) d'X 4. (5 points) Is it possible for a stationary object that undergoes a collision with a ~ ~ moving object to have a largerfinal momentum than the initial momentum of the incomingobject? Explain why not or give an example of masses that fulfill this co.ndition. .
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