test3_09Sol - LAST NAME STUDENT NR PHYS 1010 6.0 CLASS TEST...

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LAST NAME: STUDENT NR: PHYS 1010 6.0: CLASS TEST 3 Time: 50 minutes; Calculators & formulae provided at the end = only aid; Total = 20 points. 1) [5] Alice ( m = 50 kg) is on a skateboard ( M = 2 kg) moving with v = 5 m/s on a flat stretch of road. She jumps o ff backwards such that the board is propelled forward to a speed of 8 m/s. What is her velocity with respect to the ground as she lands? Ignore friction and drag, and note that magnitude and direction are required (the board is moving in the + x direction). 2) [5] A squash ball ( m = 100 g) flies very fast horizontally towards a wall ( v x = 40 m/s), and makes a perfect rebound (no mechanical energy loss). Use the impulse-momentum theorem to calculate the impulse provided by the wall in SI units (be careful with the sign). Then sketch a possible F x ( t ) curve together with an average force estimate assuming the collision took t = 10 ms. 1
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... 3) [5] A glider ( m = 200 g) is held at the top end of a tilted air track (angle with horizontal α = 30 ) of length L = 2m. At the other end is a short spring with constant k = 100 N/m. By
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