An open tank containing non-viscous liquid to a height of
5 m is placed over the ground. A heavy spherical ball
falls from height 40 m over the ground in the tank.
Ignoring air resistance find the height to which ball will
go back. Collision between ball and bottom of tank is
perfectly elastic
(a) 45 m
(b) 35 m
(c) 40 m
(d) 20 m
Answers
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The height to which ball will go back if the Collision between ball and bottom of tank is perfectly elastic is 40m
- In perfectly elastic collision, total energy will be conserved. That means no energy will be lost.
- The ball falls on the non viscous liquid and after collision it rises.
- Since liquid is non viscous , no work is done by the ball to travel through the liquid.
- That is it loses no energy while falling through the liquid.
- Since collision is perfectly elastic, no energy is lost while collision.
- Hence by applying conservation of energy, after the collision it should have sufficient kinetic energy to rise to the same height as it fell from.
- Therefore, it rises to 40m itself.
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