Physics 9702 · AS & A Level · Linear momentum and its conservation

Linear momentum and its conservation — practice question

Two balls, with masses $m$ and $2m$, are moving in a vacuum with initial velocities $2v$ and $v$ respectively, and they collide head-on, as illustrated. Following the collision, the ball of mass $m$ rebounds leftwards with velocity $v$. What is the loss of kinetic energy in the collision?

  • A$\frac{3}{4}mv^2$
  • B$\frac{3}{2}mv^2$
  • C$\frac{9}{4}mv^2$
  • D$\frac{9}{2}mv^2$

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