Momentum and impulseEdexcel International A Level Maths: Mind map

Exam questions on Momentum and impulse

1. A ball of mass $0.4$ kg hits a smooth vertical wall at right angles with speed $12$ m s⁻¹ and rebounds along the same line with speed $8$ m s⁻¹.
   On a second occasion the ball hits the wall at right angles with speed $12$ m s⁻¹ and the magnitude of the impulse exerted by the wall is $6$ N s. Find the speed with which the ball rebounds.2 marks
2. Particles $A$ and $B$, of masses $3$ kg and $2$ kg, move towards each other along a straight line on a smooth horizontal surface. $A$ has speed $5$ m s⁻¹ and $B$ has speed $4$ m s⁻¹. The particles collide directly. After the collision $A$ has speed $1$ m s⁻¹ and its direction of motion is reversed.
   Find the magnitude of the impulse exerted by $A$ on $B$ in the collision.2 marks
3. Particle $P$, of mass $4$ kg, moves with speed $6$ m s⁻¹ on a smooth horizontal surface and collides directly with particle $Q$, of mass $8$ kg, which is moving in the opposite direction with speed $2$ m s⁻¹. After the collision $P$ and $Q$ coalesce and move as a single particle.
   Find the speed of the combined particle after the collision and the direction in which it moves.3 marks