PH112_2007SPRING_EXAM2__[0]

PH112_2007SPRING_EXAM2__[0] - Ph112 Exam 2 Name Slot...

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Unformatted text preview: / .- .- Ph112- Exam 2 Name .,...- Slot __ Section(A-E) __ 1. A large mass M with a semi-circular cutout sits on a frictionless horizontal table as shown below. A mass m Is released from rest at the right side of the semi-circular cutout (which is also frictionless). m M , In this problem. and in all multi- part problems, box your answers and indicate which part of the question you are answering. a) What quantity or quantities are conserved in this problem? Explain. b) Qualitatively describe the motion of the two masses during the course of one 'oscillation' of mass m. (Who does what, and in what order? When do things stop? When are things moving at their maximum velocity? Etc.) c) When the small mass m is at the bottom of the semi-circle, what is its speed relative to the table? d) If M wasn't free to move (glued to the table), would this increase or decrease the maximum speed of m? Explain. e} When m has reached the left side of the semi-circular cutout, how far has M been displaced horizontally? Show All work. Bluebooks for scrap only! Do not write on the back of these sheets. Name Slot 2. "A h~rse pulls on a cart..... (Stop me ifyou~ve heard this before). Anyway, use this system to derive Newton~ ind"'law .- ~ of motion for a system of particles, F_ = - Don't give me a 'generic' derivation work specifically with the 'three dl particle' system of (1) horse. (2) cart and (3Jharness as described in the following hints. Hints/Requirements: 1. Make a free body diagram for each of the 3 particles, explicitly labeling each force that acts on each particle, including any expected frictional forces. By 'explicitly' labeling forces I mean... don't write 'F' or 'F I ' or 'F{ for a force - use names that specifically indicate which thing is acting on which other thing - for example: Fdog/pony or Fgrav/marble or Ffric/nose). 2. You will need to write, and play with, an expression for the center of mass of the system. Show ALL work. Bluebooks for scrap only! Do not write on the back of these sheets, Name Slot 3. A small cube slides down a frictionless incline as shown below, and elastically strikes a cube that has half of its mass. If the incline has height h and the table has height H (>h), then where does each cube land? For this problem, show all of the algebra, not just the underlying physics. Note: If you can't derive ifrom scratch} the post-collision velocities, you can get some partial credit by calling these velocities V". and V m and working with those variables for the remainder of the problem....
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PH112_2007SPRING_EXAM2__[0] - Ph112 Exam 2 Name Slot...

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