Answer:
Quadruple
Explanation:
Kinetic energy is the energy possessed by a body by virtue of its motion. It is represented mathematically as 1/2MV². If
(KE)1 = 1/2MV1²...(1) where;
M is the mass of the body
V is the velocity of the body
If the velocity is now doubled i.e V2 = 2V1 the Kinetic energy becomes
(KE)2 = 1/2M(2V1)²...(2)
Note that the mass doesn't change
Dividing equation 2 by 1, we have;
Ke2/Ke1 = 1/2×4MV1²÷ 1/2MV1²
Ke2/Ke1 = 2MV1×2/MV1
Ke2/Ke1 = 4
Ke2 = 4Ke1
This shows that when you double the velocity of an object, you quadruple its kinetic energy.
