2) Paddle ball A boy plays with a paddle ball toy, which is a wooden paddle and a bouncy rubber ball of mass MB= 0.03kg connected to each other by a rubber band. You may assume the rubber band acts like an ideal spring with a spring constant of k= 12N/m, and a natural length that is negligible (i.e., 0m) compared with the typical lengths it is stretched to during normal operation. a) The boy smacks the ball horizontally with the paddle, and it travels D= 1m away from the paddle before it turns around and returns to the paddle. How long does it take for the ball to reach its furthest point 1m away? You may assume that the boy holds the paddle close to its original position after hitting the ball, and as always you may use the approximation t z 3. b) How fast was the ball moving immediately after being hit by the paddle? c) What is the magnitude of the ball's acceleration at its furthest point 1m away from the paddle? d) How fast was the paddle moving immediately before striking the ball? You may assume that the paddle and arm of the boy are much more massive than the rubber ball, that the ball is not MB moving immediately before it was hit, and that the collision was perfectly elastic. e) If Tmax = 18N is the maximum tension supportable by the rubber band before it will break, what is the furthest distance the boy can get the ball to go without breaking the toy?
2) Paddle ball A boy plays with a paddle ball toy, which is a wooden paddle and a bouncy rubber ball of mass MB= 0.03kg connected to each other by a rubber band. You may assume the rubber band acts like an ideal spring with a spring constant of k= 12N/m, and a natural length that is negligible (i.e., 0m) compared with the typical lengths it is stretched to during normal operation. a) The boy smacks the ball horizontally with the paddle, and it travels D= 1m away from the paddle before it turns around and returns to the paddle. How long does it take for the ball to reach its furthest point 1m away? You may assume that the boy holds the paddle close to its original position after hitting the ball, and as always you may use the approximation t z 3. b) How fast was the ball moving immediately after being hit by the paddle? c) What is the magnitude of the ball's acceleration at its furthest point 1m away from the paddle? d) How fast was the paddle moving immediately before striking the ball? You may assume that the paddle and arm of the boy are much more massive than the rubber ball, that the ball is not MB moving immediately before it was hit, and that the collision was perfectly elastic. e) If Tmax = 18N is the maximum tension supportable by the rubber band before it will break, what is the furthest distance the boy can get the ball to go without breaking the toy?
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2020Q2: Please answer all parts in specific detail and explain each step with reasoning
Transcribed Image Text:2)
Paddle ball
A boy plays with a paddle ball toy, which is a wooden paddle and a bouncy rubber ball of mass MB= 0.03kg
connected to each other by a rubber band. You may assume the rubber band acts like an ideal spring with a
spring constant of k= 12N/m, and a natural length that is negligible (i.e., Om) compared with the typical
lengths it is stretched to during normal operation.
a) The boy smacks the ball horizontally with the paddle, and it travels D= 1m away from the paddle before it
turns around and returns to the paddle. How long does it take for the ball to reach its furthest point 1m
away? You may assume that the boy holds the paddle close to its original position after hitting the ball,
and as always you may use the approximation t = 3.
b) How fast was the ball moving immediately after being hit by the paddle?
c) What is the magnitude of the ball's acceleration at
its furthest point 1m away from the paddle?
d) How fast was the paddle moving immediately
before striking the ball? You may assume that the
paddle and arm of the boy are much more
massive than the rubber ball, that the ball is not
moving immediately before it was hit, and that
the collision was perfectly elastic.
MB
e) If Tmax = 18N is the maximum tension
supportable by the rubber band before it will
break, what is the furthest distance the boy can
get the ball to go without breaking the toy?
SA
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