The kinetic energy, k, of an object with mass m moving with velocity v can be found using the formula - e_{\text{k}}={\tfrac {1}{2}}mv^{2}
. a scientist measured the velocity of a 5-kilogram object and a 20-kilogram object in an experiment. if the velocity of the 5-kilogram object was twice the velocity of the 20-kilogram object, what was the ratio of the kinetic energy of the 5 kilogram object to the kinetic energy of the 20-kilogram object?

The ratio of kinetic energies of 5 kg object to 20 kg object is 1:1.

Explanation:

Kinetic energy is defined as energy possessed by an object due to its motion.It is calculated by:

Kinetic energy of the 5 kg object.

Mass of object,m = 5 kg

Velocity of an object = v

Kinetic energy of the 20 kg object.

Mass of object,m' = 20 kg

Velocity of an object = v'

The ratio of the kinetic energy of the 5 kilogram object to the kinetic energy of the 20-kilogram object:

Given that, v = 2v'

The ratio of kinetic energies of 5 kg object to 20 kg object is 1:1.