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A ball is fixed to the end of a string which is attached to the ceiling at point

ID: 1260047 • Letter: A

Question

A ball is fixed to the end of a string which is attached to the ceiling at point P. As the drawing shows, the ball is projected downward at A with the lunch speed Vo. Traveling on a circular path, the ball comes to a halt at point B. What enables the ball to reach point B, which is above point A. Ignore friction and air resistance. a. The balls initial kinetic energy. b. The ball?s initial gravitational potential energy. c. The work done by the tension in the string. d. The work done by the gravitational force.

Explanation / Answer

a)initial KE = .5 x mx vo^2

b) height of point A from grounfd = H

potential energy = mgH

als

c) as tension and displacement are always pependicular thus the work done by the tension will always be zero

d)work done by the gravitational force wil be stored in the body as potential enrgy

so let the height of B be h

work done by gravitational force = mgh

also from conservation of enrgy

mgh = .5 x m x vo^2

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