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  • A body is falling from a height h. After it has fallen a height h/2, it will possess (a) only potential energy (b) only kinetic energy (c) half potential and half kinetic energy (d) more kinetic and less potential energy

A body is falling from a height h. After it has fallen a height h/2, it will possess

(a) only potential energy

(b) only kinetic energy

(c) half potential and half kinetic energy

(d) more kinetic and less potential energy

Answers (1)

Answer:  [C]

Solution.

When a body is dropped from a height, it gets acceleration due to gravity.
Acceleration increases its speed; hence its kinetic energy keeps on increasing.
KE=\frac{1}{2}mv^{2}
The ball is dropped from height H, and we are analyzing the ball at height H/2.
The total energy of the ball will not change in free fall under gravity.
As the height becomes half of the initial height, the potential energy will become half.
PE=mgh
This decrease in potential energy, will come in the form of kinetic energy because total energy is conserved.
TE = PE +KE
Therefore, kinetic energy of the ball will be half of initial potential energy.
Hence, the correct answer to this question is option C.

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