Homework Answers
As mentioned in the problem, objects are identical. So, their mass will be equal.
Suppose mass of the each object = m kg.
Expression for the kinetic energy of an object of mass ‘m’ and velocity ‘v’ is given as –
KE = (1/2)*m*v^2
For first mass, v1 = 5.0 m/s
So, Kinetic energy, KE1 = (1/2)*m*v1^2 = (1/2)*m*5.0^2 Joule.
For second mass, v2 = 25.0 m/s
So, Kinetic energy, KE2 = (1/2)*m*v2^2 = (1/2)*m*25.0^2 Joule.
Therefore ratio of their kinetic energies –
KE1 / KE2 = [(1/2)*m*5.0^2] / [(1/2)*m*25.0^2] = 25.0 / 625.0 = 1/25.0 = 0.04 (Answer)
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