If the speed of a bike increases by 4 times, its kinetic energy will increase by:

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If the speed of a bike increases by 4 times, its kinetic energy will increase by:
1. 4 times
2. 2 times
3. 16 times
4. will remain same

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Correct Answer - Option 3 : 16 times

CONCEPT:

• Kinetic energy: The energy in a body due to its motion, is known as kinetic energy.

The kinetic energy is given by:

$K=\frac{1}{2}mv^2$

where K is the kinetic energy of the body, m is the mass of the body, and v is the speed of the body.

CALCULATION:

​Given that velocity is increased by 4 times.

Let initial velocity is v, so the final velocity will 4v.

Initial kinetic energy $K_i=\frac{1}{2}mv^2$

Final Kinetic energy $K_f=\frac{1}{2}m(4v)^2$

$K_f = 16\times\frac{1}{2}m(v)^2$

$K_f = 16\times K_i$

So the correct answer is option 3.