1. In the Atwood machine the heavier body on left has mass M = 1.001 kg , while

Question

1. In the Atwood machine the heavier body on left has mass M = 1.001 kg , while the lighter body on right has mass m = 1 kg . The system is initially at rest, there is no friction and the mass of the pulley can be ignored. Find the speed after the larger mass lowers by 50 cm .

2. A skier slides down from a hill which is 30 m high and then, without losing speed, up a hill which is 10 m high. What is his final speed? (a) Ignore friction. (b) Assume a small average friction force of 1 N and the combined length of the slopes L = 200 m . The mass of the skier is m = 80 kg .

3. A spring gun is loaded with a 20 g ball and installed vertically, with the zero level y = 0 corresponding to uncompressed spring. When loading the gun, t he spring is compressed down by 10 cm . Find the maximum height reached by the ball after the gun is fired. The spring constant is k = 100 N/m .

Explanation / Answer

we can find acceleration

then we can find v, as we know distance using formula

v2=2as

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