Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Two small smooth spheres $A$ and $B$, with equal radii and masses $4\,\text{kg}$ and $m\,\text{kg}$ respectively, are on a smooth horizontal plane. At the start, sphere $B$ is stationary and $A$ is moving towards $B$ at $6\,\text{m s}^{-1}$. Following the collision $A$ has speed $1.5\,\text{m s}^{-1}$ and $B$ has speed $3\,\text{m s}^{-1}$.
(main)[6]

Determine the two possible values for the kinetic energy lost in the collision.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Application of conservation of momentum (in either direction)

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI