Print ViewA Ball Hits a Wall Elastically

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A ball of mass m moving with velocity v_i_vec strikes a vertical wall. View Figure The angle between the ball's initial velocity vector and the wall is theta_i as shown on the diagram, which depicts the situation as seen from above. The duration of the collision between the ball and the wall is Deltat, and this collision is completely elastic. Friction is negligible, so the ball does not start spinning. In this idealized collision, the force exerted on the ball by the wall is parallel to the x axis.

Part A
What is the final angle theta_f that the ball's velocity vector makes with the negative y axis?
Express your answer in terms of quantities given in the problem introduction.

theta_f = theta_i

Part B

What is the magnitude F of the average force exerted on the ball by the wall?
Express your answer in terms of variables given in the problem introduction and/or v_ix.
 
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  • Top-down diagram of a ball striking a vertical wall on the right: an incoming green arrow at angle theta_i to the wall meets the wall and leaves as a green arrow at angle theta_f to the wall, with labels m on the ball and a coordinate axis with y up and x to the right.
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What is the answer for part b?

oh, i found 2*m*v_ix
 
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