A cart on an air track is moving at 1 m/s when the air is suddenly turned off. T

Question

A cart on an air track is moving at 1 m/s when the air is suddenly turned off. The cart comes to rest after traveling 1 m. The experiment is repeated, but now the cart is moving at 2 m/s when the air is turned off. How far does the cart travel before coming to rest? (a) 2 m (b) 4 m (c) 6 m (d) 8 m (e) Impossible to determine A tennis ball the wall elastically as depicted in the figure below. What is the orientation of the net force F_bw exerted by the hall on the wall? a) F_bw is perpendicular on the wall and pointing to the left. b) F_bw is in the opposite direction of the initial momentum of the ball. c) F_bw is in the direction of the final momentum of the ball d) F_bw is perpendicular on the wall and pointing to the right. e) F_bw is in the direction of the initial momentum of the ball. f) F_bw is in the opposite direction of the final momentum of the ball.

Explanation / Answer

Work done by force over a distance d is given by W=F *d

if initial velocity is v then stopping distance is related by equation

F d = 1/2 mv2

d is propotional to v2

d1/d2 = v12 / v22

1m /d2 = 12/22

d2 = 4m

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4.

b) Fbw is in the opposite direction of the initial momentum

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