Two identical objects (such as billiard balls) have a one dimensional collision in which one is initially motionless. After the collision, the moving object is stationary and the other moves with the same speed as the other originally had. Show that both momentum and kinetic energy are conserved.

Step-by-step solution In this problem two identical objects have a one dimensional collision in which one is in motion and the other is at rest after collision use the given data and show that both momentum and kinetic energy is conserved . Step 1 of 6 The two objects have same mass of m . One of them is motionless. So, the velocity is, Another one has velocity of . Step 2 of 6 After collision, the moving object becomes stationary. So, the velocity is: Also, the first object acquires the velocity of second object. So, Step 3 of 6 The initial sum of momentum before collision was: Substitute for .