A billiard ball moving with a speed of collides with an identical ball originally at rest. if the first ball stops after collision, then the second ball will move forward with a speed
Step 1: Given
Speed of moving ball initially,
Speed of ball in rest initally,
Speed of moving the ball after the collision,
Speed of resting ball after the collision,
Let and be the mass of the two balls. Since they are identical,
Step 2: Formulas used
Since there is no external force involved, the law of conservation of momentum can be used. It is given as,
where is initial momentum and is final momentum.
Step 3: Solution
Total initial momentum was,
Total final momentum was,
Therefore, the velocity of the second ball after the collision is .