Question

If velocity of particle increases by 100% keeping mass of the body constant. find percent change in kinetic energy of the body.​

Answer 1

Explanation:

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Answer 2

Given:

• Velocity of particle increases by 100%.

To find:

• % Change in KE ?

Calculation:

Let initial velocity be v , so initial kinetic energy will be :

KE1 = ½ × m × v²

• Now, new velocity = v × 200/100 = 2v

So, new kinetic energy will be :

KE2 = ½ × m × (2v)² = 4 [KE1]

So, % change is :

$\Delta KE\% = \dfrac{(4 - 1)KE_{1} }{ KE_{1} } \times 100\%$

$\implies\Delta KE\% = \dfrac{3KE_{1} }{ KE_{1} } \times 100\%$

$\implies\Delta KE\% = 300\%$

So, %change in KE is 300%.