Conservation of momentumAQA A-Level Further Maths: Mind map

Exam questions on Conservation of momentum

1. Particle $A$ of mass $3$ kg, moving at $4$ m s⁻¹, collides directly with particle $B$ of mass $2$ kg, which is moving in the same direction at $1$ m s⁻¹ on a smooth horizontal surface. The particles coalesce.
   Find the kinetic energy lost in the collision.2 marks
2. A gun of mass $800$ kg, free to recoil on smooth horizontal ground, fires a shell of mass $8$ kg horizontally. The gun and shell are initially at rest, and the shell leaves the gun with speed $250$ m s⁻¹ relative to the ground.
   Find the speed of the shell relative to the gun.2 marks
3. Two smooth spheres $P$ and $Q$, of masses $2m$ and $m$, move towards each other along a straight line on a smooth horizontal table, with speeds $3u$ and $2u$ respectively. After the collision $Q$ moves in the direction of $P$'s original motion, with speed $2u$.
   Find the velocity of $P$ after the collision.3 marks