Question

A ball of mass \(5\,\text{kg}\) moving with a kinetic energy of \(90\,\text{J}\) collides head-on with another ball of mass \(4\,\text{kg}\) at rest. If the relative velocity of separation between the two balls after collision is \(3\,\text{m s}^{-1}\), then the loss of kinetic energy due to the collision is

• A. \(30\,\text{J}\)
• B. \(60\,\text{J}\)
• C. \(90\,\text{J}\)
• D. \(45\,\text{J}\)

Hint:

For one-dimensional collisions: \[ \boxed{\text{Momentum is always conserved}.} \] Also, \[ \boxed{\text{Relative speed of separation}=e\times\text{Relative speed of approach}.} \] Use these relations together to determine the final velocities.

Answer 1

The Correct Option is A