How does the kinetic energy of a body change with an increase in its mass by 2.5 times?

Given:

m1 = m – body weight;

m2 = 2.5 * m – increased body weight;

v1 = v2 = v is the speed of the body.

It is required to determine the change in the kinetic energy of the body Ek2 / Ek1 with an increase in body weight from m1 to m2.

Ek2 / Ek1 = (m2 * v2 ^ 2/2) / (m1 * v1 ^ 2/2) = 2 * m2 * v2 ^ 2 / (2 * m1 * v1 ^ 2) = 2.5 * m * v ^ 2 / (m * v ^ 2) = 2.5.

Answer: with an increase in body weight 2.5 times, the kinetic energy will also increase 2.5 times.