Question

State which would have greater effect on kinetic energy of an object doubling the mass or doubling the velocity?

Answer 1

1. The kinetic energy formula is given as $E_k=\frac{1}{2}m{v}^2$ where $E_k=$kinetic energy, $m$is the mass, and $v$ is the velocity of the moving body.
2. So, $E_k\propto m$ and $E_k\propto v^2$.
3. This indicates, that kinetic energy, $E_k$ is directly proportional to the mass and square of velocity.
4. So, we can conclude that, if the mass of the body is double then $E_k$ of the body is also doubled.
5. However, if the velocity of the body is doubled, then the $E_k$ of the body becomes four times.
   Hence we can state that the kinetic energy has a greater effect when the velocity of the body is doubled.