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
B
400 ms1
C
20 ms1
D
80 ms1

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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