Answer to Question #323176 in Mechanics | Relativity for alex

Question #323176

when hit, the velocity of a 0.2 kg baseball changes from +25m/s to -25m/s. what is the magnitude of the impulse delivered by the bat to the ball?


1
Expert's answer
2022-04-04T09:03:40-0400

Explanations & Calculations


  • You can just apply the formula for the impulse to solve this question.
  • Use the sign convention properly.

"\\qquad\\qquad\n\\begin{aligned}\n\\to(+)\\\\\n\\small I&=\\small \\Delta(mv)\\\\\n&=\\small m\\Delta v\\\\\n&=\\small m[-v-(+v)]\\\\\n&=\\small -2mv\\\\\n&=\\small -2\\times0.2\\,kg\\times25\\,ms^{-1}\\\\\n&=\\small -10\\,Nm\n\\end{aligned}"

  • Since the impulse gets a negative value along the previously considered direction, this means the impulse is otherway around: along the direction of the final velocity(back).

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