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4 April, 01:50

A 0.60-kilogram softball initially at rest is hit with a bat. The ball is in contact with the bat for 0.20 second and leaves the bat with a speed of 25 meters per second. What is the magnitude of the average force exerted by the ball on the bat?

a. 15 N

b. 3.0 N

c. 75 N

d. 8.3 N

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Answers (1)
  1. 4 April, 01:53
    0
    c. 75 N

    Explanation:

    Force: This can be defined as the product of mass and the acceleration of a body. The S. I unit of Force is Newton (N).

    From Newton's Fundamental equation of kinematic,

    F = ma ... Equation 1

    Where F = Force exerted by the ball on the bat, m = mass of the ball, a = acceleration.

    From motion,

    a = (v-u) / t ... Equation 2

    Where v = final velocity, u = initial velocity, t = time.

    Given: v = 25 m/s, u = 0 m/s (at rest), t = 0.20 s.

    Substitute into equation 2

    a = (25-0) / 0.20

    a = 125 m/s².

    Also given: m = 0.60 kg.

    Substitute into equation 1

    F = 0.6 (125)

    F = 75 N.

    Hence the force exerted by the ball on the bat = 75 N,

    The right option is c. 75 N
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