Impulse Help: Solving a Tennis Ball Problem

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To solve the tennis ball problem, first calculate the change in momentum (dP) by considering the ball's mass and velocity before and after the impact. The impulse experienced by the ball is equal to this change in momentum, which can be derived from the impulse-momentum theorem. The angles of impact and rebound are crucial for decomposing the velocity vectors into components. Only the vertical component of the momentum will change, as the horizontal component remains constant. Understanding these concepts is essential for accurately determining the impulse given to the ball by the ground.
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Impulse help!

A 0.09 kg tennis ball with a speed of 43.2 m/s strikes the ground at a 45.4 degree angle and rebounds with the same speed and the same angle (see the figure below). What is the magnitude of the impulse given to the ball by the ground?

Does anyone have any clue?? I sure don't.
 
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Impulse = change in momentum / time.

Guess you can start by finding dP
 
Jayhawk,

This isn't just some random problem designed to make you do some math. Ask yourself, "what key concept about physics that I am supposed to learn about is being tested here?" Do you know the definition of impulse? (If you don't, then learning it would be a good place to start, considering that's what you're being asked to calculate!) Furthermore, have you heard of the impulse-momentum theorem?
 
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I don't know what to do with the angles...
 
Use the geometry and the property of vectors to be decomposed after orthonormal coordinates.In your case,one component from the initial vector will not transfer momentum at all,while the other will transfer it all.

Daniel.
 
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