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Q.

Is it true that doubling the velocity of the body will have a greater impact on the kinetic energy than doubling the mass of the body?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is True.
Kinetic energy is the energy possessed by an object or particle as a result of its motion. As work, which transfers energy, is performed on an object by exerting a net force, the object accelerates and obtains kinetic energy.
The formula of the kinetic energy is,

K . E = \frac{1}{2} mv²

Here

m

is mass and

v

is velocity of the object.
Now, if we double the mass then,

\Rightarrow K . E = \frac{1}{2} (2 m) v²

\Rightarrow K . E = mv²

If we double the velocity, then,

\Rightarrow K . E = \frac{1}{2} m (2 v) ²

\Rightarrow K . E = \frac{1}{2} \times m \times 4 v²

\Rightarrow K . E = m \times 2 v²

\Rightarrow K . E = 2 mv²

Therefore, doubling the mass will have more impact on kinetic energy.

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