Question

Which will result in a greater increase in kinetic energy, doubling the velocity or doubling the mass.

Doubling the velocity

Doubling the mass

Both will have the same increase
.

Answer 1

Kinetic energy is the energy possessed by a body while in motion. It is calculated by 1/2mv², where m is the mass of the body and v is the velocity.
Therefore, kinetic energy is dependent on both mass of the body and the velocity. An increase in mass increases the kinetic energy, an increase in velocity also increases kinetic energy of the body. Thus, doubling the mass and doubling the velocity will both increase the kinetic energy of the body.