A bowling ball weighing 71.2 N is attached to the ceiling by a 3.60 m rope. The

Question

A bowling ball weighing 71.2 N is attached to the ceiling by a 3.60 m rope. The ball is pulled to one side and released; it then swings back and forth like a pendulum. As the rope swings through its lowest point, the speed of the bowling ball is measured at 3.90 m/s.

A) at that instant, find the magnitude of the acceleration of the bowling ball.

B) At that instant, find the direction of the acceleration of the bowling ball.
upward/downward/in the direction of motion

C) At that instant, find the tension in the rope.

Explanation / Answer

a)a=v^2/r=3.9^2/3.6=4.225 b)upward c)T=mg+mv^2/r =71.2+71.2*4.225/10 =101.282 N

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