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A soccer ball of mass 0.30 kg is rolling with velocity 0, 0, 3.0 m/s, when you k

ID: 1572070 • Letter: A

Question

A soccer ball of mass 0.30 kg is rolling with velocity 0, 0, 3.0 m/s, when you kick it. Your kick delivers an impulse of magnitude 1.5 N · s in the x direction. The net force on the rolling ball, due to the air and the grass, is 0.23 N in the direction opposite to the direction of the ball's momentum. Using a time step of 0.5 s, find the position of the ball at a time 1.5 s after you kick it, assuming that the ball is at the origin at the moment it is kicked. Use the approximation vavg pf/m. (Express your answer in vector form.)

Explanation / Answer

the position of the ball = impulse * time/mass

                                    = (1.5 - 0.30 * 3) * 1.5/0.30

                                     = 3 m

Thus, final position of ball = < 0 , 0 , 3 > m

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