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,

0.5×4400lb×(49.2)2=0.5×44lbs×v2v=100×(49.2)2=10×49.2=492fts1\qquad\qquad \begin{aligned} \small 0.5×4400\,lb×(49.2)^2&=\small 0.5×44\,lbs×v^2\\ \small v&=\small \sqrt{100\times(49.2)^2}\\ &=\small 10\times49.2\\ &=\small 492\,fts^{-1} \end{aligned}

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