A ball moving on a horizontal frictionless plane hits an identical ball at rest with a velocity of 50 cm s - 1 . If the collision is elastic, calculate the speed imparted to the target ball if the speed of the striking ball after the collision is 30 c m s - 1

Question

A ball moving on a horizontal frictionless plane hits an identical ball at rest with a velocity of 50 cm s - 1 . If the collision is elastic, calculate the speed imparted to the target ball if the speed of the striking ball after the collision is 30 c m s - 1, 20 c m s - 1, 30 c m s - 1, 40 c m s - 1, 50 c m s - 1

MARKS App · Accepted Answer

As the collision is perfectly elastic Hence 1 2 m u 1 2 + 1 2 m u 2 2 = 1 2 m v 1 2 + 1 2 m v 2 2 ⇒ u 1 2 + u 2 2 = v 1 2 + v 2 2 0.5 2 + 0 = 0.3 2 + v 2 2 v 2 = 0.5 2 - 0.3 2 v 2 = 40 c m s - 1

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