Answer to Question #312767 in Mechanics | Relativity for Nam

Question #312767

suppose a 4,400 pounds(lbs). object was traveling at a speed of 49.2ft/s. now, this mass transfer all its energy to another body with a mass of 44lbs . what Will be the velocity of the 44lbs mass after being hit by it.

1
Expert's answer
2022-03-21T12:42:50-0400

Explanations & Calculations

  • All the kinetic energy the larger object had gets transferred to the smaller object and the larger one comes to rest.
  • Therefore,

"\\qquad\\qquad\n\\begin{aligned}\n\\small 0.5\u00d74400\\,lb\u00d7(49.2)^2&=\\small 0.5\u00d744\\,lbs\u00d7v^2\\\\\n\\small v&=\\small \\sqrt{100\\times(49.2)^2}\\\\\n&=\\small 10\\times49.2\\\\\n&=\\small 492\\,fts^{-1}\n\\end{aligned}"

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