Momentum Conservation in Tennis Ball Collision

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The discussion revolves around a tennis collision problem involving momentum conservation and impulse. The player’s racket, weighing 1000 g and moving at 8.00 m/s, strikes a 60 g tennis ball traveling at 11.0 m/s, which rebounds at 36.0 m/s. Participants confirm that the first part of the problem requires applying conservation of momentum to find the racket's velocity after impact. The second part involves calculating the average force exerted by the racket on the ball using impulse, where confusion arises regarding which mass to use in the calculations. Ultimately, the participants clarify their approach and resolve their confusion regarding the calculations.
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A tennis player swings her 1000 g racket with a speed of 8.00 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 11.0 m/s. The ball rebounds at 36.0 m/s.

1)How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the collision.

2)If the tennis ball and racket are in contact for 9.00 ms, what is the average force that the racket exerts on the ball?

is this a momentum problem where i figure out the p_initial and then p_final and subtract final from initial? and then solve for velocity after from the p_final? and I am not sure for the second question. thanks in advance for your help.
 
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As you suggested, the first part looks like a conservation of momentum question. The second part deals with impulse.
 
ok i got a little farther... basically i set it up like m_r*v_r + m_b*v_b = m_r2*v_r2' + m_b2*v_b2'. where m_r is the mass of racket v_r is velocity of racket m_b is mass of ball and v_b is velocity of ball and same for other side except they are the final values. i am given all of the values except for v_r2' and i tried solving for it but i get a wrong answer. for the second part i just did accel = (v_b' - v_b)/t and then F=ma. but i am confused as to which mass to use because using the racket's mass gave me a wrong answer.
 
nevermind i got it
 
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