Question

Calculate the decrease in the kinetic energy of a moving body if it's velocity reduces to half of the initial velocity.
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Answer 1

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Answer 2

Step-by-step explanation:

If initial kinetic energy of the body is mv²/2 and its velocity decreases to one third.

Therefore the new kinetic energy, is

m(v/3)²/2 =(1/9)mv²/2

the decrease in kinetic energy = mv²/2-(1/9)mv²/2 = (8/9)mv²/2

percentage decrease =

{ {(8/9)mv²/2}/mv²/2}×100

8×100/9 =88.89%