A baseball with a mass of 0.15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8.0 * 10-3 seconds. The ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?

Question

Physics

Marianna Larsen

11 June, 14:25

A baseball with a mass of 0.15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8.0 * 10-3 seconds. The ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?

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Answers (1)

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Kaya Warner · Answer 1

From Newton's second law of motion, force is the product of mass and acceleration. In this item, we are not straightforwardly given the acceleration. To solve for it,

acceleration = (Vf - Vo) / t

= (50 m/s - 40 m/s) / (0.008 s) = 1250 m/s²

Using the equation for force,

Force = (0.15 kg) (1250 m/s²) = 187.5 kg m/s² = 187.5 N