The club was in contact with a ball, initially at rest, for about 0.0052 s. If the ball has a mass of 55 g and leaves the head of the club with a speed of 2.4 ✕ 102 ft/s, find the average force (in kN) exerted on the ball by the club.

Question

Physics

Lara Owen

11 October, 12:17

The club was in contact with a ball, initially at rest, for about 0.0052 s. If the ball has a mass of 55 g and leaves the head of the club with a speed of 2.4 ✕ 102 ft/s, find the average force (in kN) exerted on the ball by the club.

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Answers (1)

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Esperanza Swanson · Answer 1

2538.46N

Explanation:

Parameters given:

Initial speed, u = 0 m/s

Final velocity, v = 240 m/s

Time, t = 0.0052 s

Mass of club, m = 55g = 0.055 kg

First we find the acceleration:

a = (v - u) / t

a = (240 - 0) / 0.0052

a = 46153.85 m/s²

Average force can then be found:

F = m*a

F = 0.055 * 46153.85

F = 2538.46 N