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15 December, 12:25

To make a bounce pass, a player throws a 0.60-kg basketball toward the floor. The ball hits the floor with a speed of 5.4 m/s at an angle of 65° to the vertical. If the ball rebounds with the same speed and angle, what was the impulse delivered to it by the floor?

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  1. 15 December, 15:25
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    2.74 N-s

    Explanation:

    m = mass of the basketball thrown towards the floor = 0.60 kg

    v₀ = initial speed of the ball before hitting the floor = 5.4 m/s

    θ = angle made by the direction of motion of the ball with the vertical before and after the collision = 65°

    I = Impulse delivered to it by the floor

    Impulse delivered to the ball by the floor is given as

    I = 2 m v₀ Cosθ

    Inserting the values

    I = 2 (0.60) (5.4) Cos65

    I = 2.74 N-s
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