Recent studies have raised concern about `heading' in youth soccer (i.e., hitting the ball with the head). A soccer player `heads' a size 3 ball deflecting it by 54.0°, and keeps its speed of 10.30 m/s constant. A size 3 ball has a mass of approximately 2.000 kg. What is the magnitude of the impulse which the player must impart to the ball?(adsbygoogle = window.adsbygoogle || []).push({});

I started by finding the change in velocity.

In the x-direction:

the final velocity= cos 54 * 10.30 * 2.000 = 12.1 m/s

the inital velocity = 10.30 * 2.000 = 8.3 m/s

Change in velocity in x= 3.8 m/s

In the y-direction:

the final velocity= sin 54 * 10.30 * 2.000= 16.6

the initial velocity= 0 m/s

change in velocity in y= 16.6 m/s

Then i used the pythagorean theorem.

[tex] sq rt 16.6^2 + 3.8^2 [/tex] = 17.0 m/s

I multiplied this by the mass 2.000 to get the impulse= 34.0 kg*m/s

This wasn't right.. can someone tell me what I'm doing wrong?thanks

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# Soccer impulse problem

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