A ball rolls along a frictionless track as shown in the figure below. The ball h

Question

A ball rolls along a frictionless track as shown in the figure below. The ball has an
initial speed of 5.0 m/s. Each segment of the track is straight, and the ball passes smoothly from one segment to the next without leaving the track.

a) Use conservation of energy to find the speed of the ball at point B.

answer:    2.3m/s

b) Find the magnitude and direction of the constant acceleration of the ball between points A
and B.

answer: ?

A ball rolls along a frictionless track as shown in the figure below. The ball has an initial speed of 5.0 m/s. Each segment of the track is straight, and the ball passes smoothly from one segment to the next without leaving the track. a) Use conservation of energy to find the speed of the ball at point B. answer: 2.3m/s b) Find the magnitude and direction of the constant acceleration of the ball between points A and B. answer: ?

Explanation / Answer

a) 0.5 mu^2 = 0.5 mv^2 + mgh 5^2 = v^2 + 2*9.8*1 v = 2.3 m/s b)a = - gsin theta = -ggsin60 = -8.49 m/s^2

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