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Which would have a greater effect on the kinetic energy of an object: doubling the mass or doubling the velocity?
We know the formula for kinetic energy: $K=\frac{1}{2}mv^2$
Here, $K\rightarrow$kinetic energy of the moving body
$m\rightarrow$ mass of the body
$v\rightarrow$ velocity of the moving body
On doubling the mass of the body:
Mass will become $2m$
Then, kinetic energy of the body $K'=\frac{1}{2}\times(2m)\times v^2$
Or $K'=2\times\frac{1}{2}mv^2$
Or $K'=2K$
Thus, by doubling the mass of the body, the kinetic energy of the body will get doubled.
On doubling the velocity of the body:
On doubling the velocity, it becomes $2v$
Then kinetic energy of the body $K''=\frac{1}{2}m(2v)^2$
Or $K"=4\times\frac{1}{2}mv^2$
Or $K"=4K$
Thus, on doubling the velocity of the body, its kinetic energy becomes four times.
Therefore, doubling the velocity of the object has a greater effect on the kinetic energy of an object than doubling the mass of the object.