Answer to Question #308763 in Mechanics | Relativity for Drill

Question #308763

A ball of mass 0.25kg loses one third of it's velocity on collision with an identical ball 9/2 at rest after collision q moves off with a speed of 2m/s in the original direction of p. Calculate the original velocity of p.

1
Expert's answer
2022-03-15T10:36:38-0400

Explanations & Calculations


  • Say the initial velocity of the ball P is "\\small V" then apply conservation of linear momentum to the system of 2 balls along the direction of P.

"\\qquad\\qquad\n\\begin{aligned}\n\\small \\to\\\\\n\\small mV+0&=\\small m.\\frac{V}{3}+m\\times2\\\\\n\\small V&=\\small \\frac{V}{3}+2\\\\\n\\small V&=\\small 3\\,ms^{-1}\n\\end{aligned}"


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