1. A 1.0kg block is pushed a distance of 1.0m across a frozen lake by a constant

Question

1. A 1.0kg block is pushed a distance of 1.0m across a frozen lake by a constant force. Starting from rest, the block attained a speed of 5m/s. How much further must the block be pushed by the same force to reach a speed of 10m/s? Show your work using the work-energy theorem.

2. Two identical carts travel towards each other at the same speed, v, along a frictionless track. They collide and stick together. What is the speed of the two-cart system after the collision? Show your work using the law of momentum conservation.

Explanation / Answer

1) F*s1 = 0.5*m*(v^2-u^2)

F*s2 = 0.5*m*(v1^2-v^2)

s1/s2 = (v^2-u^2)/(v1^2-v^2)

1/s2 = (25-0)/(100-25)

1/s2 = 25/75 = 1/3

s2 = 3 m

2) initial momentum Pi = m*(v-v) = 0

final momentum Pf = 2*m*V

Pf = Pi

V = 0

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