Momentum and impulse in one dimensionEdexcel A-Level Further Maths: Mind map

Exam questions on Momentum and impulse in one dimension

1. A cricket ball of mass $0.4$ kg is moving horizontally at $6$ m s$^{-1}$ towards a batsman. It is hit straight back along the same line and leaves the bat with speed $9$ m s$^{-1}$. The ball is in contact with the bat for $0.015$ s.
   The same impulse is given to a ball of mass $0.4$ kg that is initially at rest. Find the speed it acquires.2 marks
2. Particle $A$, of mass $3$ kg, moves at $6$ m s$^{-1}$ along a smooth horizontal surface and collides directly with particle $B$, of mass $5$ kg, which is at rest. After the collision $A$ moves with speed $1$ m s$^{-1}$ in the opposite direction to its original motion. The collision lasts $0.03$ s.
   Find the magnitude and direction of the average force exerted by $A$ on $B$ during the collision.2 marks
3. Particle $P$, of mass $2$ kg, moves at $6$ m s$^{-1}$ and particle $Q$, of mass $3$ kg, moves at $2$ m s$^{-1}$ in the opposite direction, along the same straight line on a smooth horizontal surface. They collide directly and coalesce to form a single particle $R$.
   Find the speed and direction of $R$ immediately after the collision.3 marks