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25 April, 22:07

Now assume that the pitcher in Part D throws a 0.145-kg baseball parallel to the ground with a speed of 32 m/s in the + x direction. The batter then hits the ball so it goes directly back to the pitcher along the same straight line. What is the ball's x-component of velocity just after leaving the bat if the bat applies an impulse of - 8.4N⋅s to the baseball?

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  1. 25 April, 22:25
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    25.9 m/s

    Explanation:

    mass of ball, m = 0.145 kg

    initial velocity, u = + 32 m/s

    It bounce back with the velocity but in opposite direction so final velocity,

    v = - v

    Impulse, I = - 8.4 Ns

    Impulse is defined as the change in momentum

    I = m v - mu = m (v - u)

    - 8.4 = 0.145 x ( - v - 3 2)

    - 57.9 = - v - 32

    v = 57.9 - 32 = 25.9 m/s

    Thus, the final speed of the ball is 25.9 m/s
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