- 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 \(e = \frac { 3 } { 5 }\)
- 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 \(Q\), - find the complete range of possible values of \(f\).