Impulse from basket ball against ground at an angle

AI Thread Summary
To calculate the impulse delivered to a basketball by the court, it's essential to recognize that impulse equals the change in momentum. The basketball, weighing 0.60 kg, hits the court at a speed of 6.5 m/s at a 50° angle from the vertical and rebounds with the same speed and angle. The x-component of the velocity remains unchanged, while the y-component reverses direction, resulting in a change in the y-velocity. This change can be expressed as Δv = -2v, where v is the vertical component of the initial velocity. Thus, the impulse can be calculated using the change in momentum associated with the vertical component of the ball's motion.
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Homework Statement



To basketball player bounces the 0.60-kg basketball to another player by bouncing it off the court. The ball hits the court with a speed of 6.5 m/s at an angle of 50° from the vertical. If the ball rebounds with the same speed and angle, what was the impulse delivered to it by the court?


Homework Equations



I know that Impulse is the change in momentum, or the force times the change in time.

The Attempt at a Solution



I cannot figure out how to find the Impulse with simply the velocity an angles. Is there a change in momentum if all it does is change direction? If so, how do I use the angles to calculate the change?
I try doing the x/y components of the velocity but it seems to cancel out.
 
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You must use xy components. There is no change in the x velocity, so no impulse. But there is a change in the y velocity - it reverses direction so you'll have something like Δv = -v - v = -2v. Of course you know the number for v, the vertical component of the 6.5 m/s.
 
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