If mass (m) is constant in the formula below, what will happen to the kinetic energy (KE) if velocity (v) is doubled?
KE=1/2mv2
If the velocity (v) is doubled, the kinetic energy (KE) will increase by a factor of 4.
This can be seen from the formula:
KE = 1/2mv^2
If the velocity (v) is doubled, it becomes 2v. Substituting this into the formula:
KE = 1/2m(2v)^2
= 1/2m(4v^2)
= 2mv^2
Therefore, the kinetic energy (KE) will increase by a factor of 4.