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26 January, 00:48

Two students are playing paddle ball with a 5 kg spongy ball. If the ball is thrown at the batter with a speed of 5 m/s and bounces off with a speed of 10 m/s. What is the magnitude of the impulse imparted on the ball by the bat?

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  1. 26 January, 04:39
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    75 kgm/s

    Explanation:

    Impulse: This can be defined as the product of mass and change in velocity. The S. I unit is kgm/s.

    From the question,

    I = m (v-u) ... Equation 1

    Where I = impulse, m = mass, v = final velocity, u = initial velocity.

    Let the direction of the initial velocity be the positive direction.

    Given: m = 5 kg, v = - 10 m/s (bounce off), u = 5 m/s.

    Substitute into equation 1

    I = 5 (-10-5)

    I = 5 (-15)

    I = - 75 kgm/s.

    The negative sign tells that the impulse act in the same direction as the final velocity of the ball

    Hence,

    I = 75 kgm/s
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