Practise direct elastic collisions with conservation of linear momentum, Newton’s restitution law, coefficient ranges and kinetic-energy loss before and after impact.
Particle P has mass m and particle Q has mass 5 m.
The particles are moving in the same direction along the same straight line on a smooth horizontal surface.
Particle P collides directly with particle Q.
Immediately before the collision, the speed of P is 6 u and the speed of Q is u.
Immediately after the collision, the speed of P is x and the speed of Q is y.
The direction of motion of P is reversed as a result of the collision.
The coefficient of restitution between P and Q is e.
Find the complete range of possible values of e.
Given that , find the total kinetic energy lost in the collision between P and Q.
After the collision, Q hits a smooth fixed vertical wall that is perpendicular to the direction of motion of Q.
Particle Q rebounds.
The coefficient of restitution between Q and the wall is f.
Given that there is a second collision between P and Q,