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# Answer to Question #108546 in Mechanics | Relativity for Chinmoy Kumar Bera

Question #108546
A stationary ball is struck by a bat with an avg force of 60N over 10 ms. If the mass of the ball is .25 kg, what speed does it have just after the impact?
1
2020-04-09T09:13:32-0400

Solution: The second Newton's law states that the rate of change of momentum of a body is directly proportional to the force applied, and this change in momentum takes place in the direction of the applied force. "\\vec F=\\frac{d\\vec p}{dt}" In our task the directions of force and momentum coincides, and we can write for average magnitudes:

"F=\\frac{\\Delta p}{\\Delta t}" , where increment of the momentum is "\\Delta p= m\\cdot \\Delta v" . Since the ball is initial at rest the speed increment coincides with the final speed "v" of the ball. We have

"F\\cdot \\Delta t=m \\cdot v" , and "v=\\frac {F\\cdot \\Delta t}{m}=\\frac{60N\\cdot 10\\cdot 10^{-3}s}{0.25 kg}=2.4 ms^{-1}"

Answer: speed of the ball just after the impact is 2.4m/s

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