Calculating Rebound Height for a Ball Colliding with Steel Plate

AI Thread Summary
The discussion centers on calculating the rebound height of a ball after it collides with a steel plate, given a coefficient of restitution of 0.95. Participants emphasize the importance of understanding the coefficient of restitution and its application to the problem, suggesting that the impact and rebound velocities can be derived from the initial drop height. While some express confusion about the need for velocities, others clarify that the initial height provides sufficient information to determine the rebound height using the restitution factor. The conversation highlights that unknowns can often be substituted and simplified in physics problems. Ultimately, the key takeaway is that the rebound height can be calculated using the initial height and the coefficient of restitution.
Arlan
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Question: The coefficient of restitution for ball colliding with steel is 0.95. If ball is dropped from height h sub o above steel plate, to what height will the ball rebound?

Please help me with this one, Is there a formula for this? all I know is e equals velocity of the first object subtract to velocity of the second object divided by the velocity of the second object subtract to velocity of the first object.
 
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So apply the formula you know to the situation. What are the velocities here?
 
I believe this is a thought question with no equation required. You are over complicating it. Lookup:the definition of "Coefficient of Restitution" and I think you will realize the quick answer.
 
haruspex said:
So apply the formula you know to the situation. What are the velocities here?
there are no velocities given, but thanks
 
JBA said:
I believe this is a thought question with no equation required. You are over complicating it. Lookup:the definition of "Coefficient of Restitution" and I think you will realize the quick answer.
I'll do that. thanks for helping
 
Arlan said:
there are no velocities given, but thanks
You must not let that block you. Many questions appear not to provide enough information, but if you simply plug in unknowns as necessary you may find they later cancel.
In the present case, however, you are effectively given the velocities. You know the height from which the ball is released, so you can find the impact velocity. You also know the velocity of the ground before and after, so you can use the restitution factor to find the rebound velocity of the ball. Etc.
 
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haruspex said:
You must not let that block you. Many questions appear not to provide enough information, but if you simply plug in unknowns as necessary you may find they later cancel.
In the present case, however, you are effectively given the velocities. You know the height from which the ball is released, so you can find the impact velocity. You also know the velocity of the ground before and after, so you can use the restitution factor to find the rebound velocity of the ball. Etc.
okay. I'll keep that in mind. thanks
 

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