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Final Velocities

A 500 g bal...

Question

A $500$ g ball is released from a height of $4 m$ . Each time it makes contact with the ground it loses 25% its energy. Find the kinetic energy it posses after $3^{r d}$ hit to the ground.

A

15 J

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B

11.25 J

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C

8.44 J

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D

none

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Solution

The correct option is C 8.44 J
Kinetic Energy at the end is,
$K E = m g h {(\frac{3}{4})}^{3} = \frac{1}{2} \times 10 \times 4 (\frac{3}{4} \times \frac{3}{4} \times \frac{3}{4})$
$= \frac{270}{32} J$ .

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