A bowling ball weighing 72.0 N is attached to the ceiling by a rope of length 3.
ID: 2030110 • Letter: A
Question
A bowling ball weighing 72.0 N is attached to the ceiling by a rope of length 3.76 m . The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings through the vertical, the speed of the bowling ball is 5.00 m/s . What is the acceleration of the bowling ball, in magnitude and direction, at this instant? What is the tension in the rope at this instant? A bowling ball weighing 72.0 N is attached to the ceiling by a rope of length 3.76 m . The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings through the vertical, the speed of the bowling ball is 5.00 m/s . What is the acceleration of the bowling ball, in magnitude and direction, at this instant? What is the tension in the rope at this instant?Explanation / Answer
a)
Centripetal acceleration
a=V2/r =52/3.76 =6.65 m/s2
b)
Direction is upward
c)
Tension in the rope
T=W+ma =72+(72/9.81)*6.65
T=120.8 N
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