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Doubling a body's mass will increase the object's kinetic energy by ____ $times$ .

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Detailed Solution

Doubling a body's mass will increase the object's kinetic energy by

2 times

.
Kinetic Energy is a form of energy that an object of mass (

m

) or body has due to virtue of its motion and is formulated as

K . E = \frac{1}{2} m v^{2}

Where

m = mass

of the object and

v = velocity

So, if the mass of the body is '

2 m

.'
Then kinetic energy will be,

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

⇨

m v^{2}

The above equation shows that the mass of an object is directly proportional to its Kinetic energy. So, if we double the mass, the kinetic energy will also get doubled.

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