A ball hits a floor (fixed and smooth)and rebounds, then:

the momentum of the ball before and after the collision is same.

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the mechanical energy of the ball may remain same during the collision.

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the total momentum of the ball and the earth is conserved.

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the total energy of the ball and the earth remains the same

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Solution

The correct option is D the total momentum of the ball and the earth is conserved.
It's a matter of conversion of potential energy energy into kinetic energy and vice versa. The higher the drop distance, the more potential energy the ball has. As it falls the potential energy is transferred into kinetic energy. When the ball hits the floor the ball is squeezed transferring the kinetic energy back into potential energy, like in a spring. Then the ball rebounds, although with a slightly lower velocity due to slight energy loss, and bounces back up losing its vertical kinetic energy back into potential energy. The total momentum of the ball, wall, and Earth is equal before and after the collision.

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Similar questions

In the given figure a ball strikes a rod at its end elastically and rod is hinged smoothly at point A. Then which of the statement(s) is/are correct (regarding just before and after the collision)

Answer carefully, with reasons :

(a) In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact) ?

(b) Is the total linear momentum conserved during the short time of an elastic collision of two balls ?

(d) If the potential energy of two billiard balls depends only on the separation distance between their centres, is the collision elastic or inelastic? (Note, we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy).

Q. A ball of mass

m_{1}

in motion hits directly another ball of mass

m_{2}

at rest and sticks to it, the total kinetic energy after collision is 2/3 of their total K.E. before the collision. Determine the ratio of

m_{1} : m_{2}

Answer carefully, with reasons:

(a) In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact)?

(b) Is the total linear momentum conserved during the short time of an elastic collision of two balls?

A ball hits the floor and rebounds after inelastic collision. In this case

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