Question

The kinetic energy of a body is 100J.How will it’s kinetic energy change if it’s velocity is tripled?

Answer 1

Answer:

9 times

Explanation:

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Answer 2

Answer:

If the velocity is tripled, the kinetic energy will become 9 times the original kinetic energy.

Explanation:

Given that the kinetic energy = 100J = KE₁

We know that KE = $\frac{1}{2}$ * mv²

Let the initial kinetic energy be KE₁

and the kinetic energy when velocity is tripled be KE₂

Let the initial velocity be v

Given that the velocity is tripled.

Therefore, the new velocity = 3v

KE₁ = $\frac{1}{2}$ * mv²

KE₂ = $\frac{1}{2}$ * m(3v)²

       =  $\frac{1}{2}$ * m* 9v²

       = 9*  $\frac{1}{2}$ * mv²

       = 9KE₁                        (as KE₁ = $\frac{1}{2}$ * mv² )

Therefore, if the velocity is tripled, the kinetic energy will become 9 times the original kinetic energy.