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Question

A body of mass 2 kg has a potential energy of 800 J when it is at a certain height. If it begins to fall, its velocity when its Kinetic energy and Potential energy are equal is


A
4 ms1
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B
400 ms1
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C
20 ms1
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D
80 ms1
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Solution

The correct option is C $$20 \ m s^{-1}$$
Total energy $$=$$ Potential Energy $$+$$ Kinetic Energy $$= 800\ J$$
At certain height when Potential Energy $$=$$ Kinetic Energy $$= 400\ J$$
Kinetic Energy $$=\dfrac{1}{2}mv^2 = 400$$
$$\Rightarrow v = 20\ m/s$$

Physics

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