Afather racing his son has 1/3 the kinetic energy of the son, who has 1/4 the mass of the father. the father speeds up by 1.5 m/s and then has the same kinetic energy as the son. what are the original speeds of
(a) the father and
(b) the son?

Explanation:

Let the speeds of father and son are . The kinetic energies of father and son are . The mass of father and son are  

(a) According to given conditions,

And

Kinetic energy of father is given by :

.............(1)

Kinetic energy of son is given by :

...........(2)

From equation (1), (2) we get :

..............(3)

If the speed of father is speed up by 1.5 m/s, so the ratio of kinetic energies is given by :

Using equation (3) in above equation, we get :

(b) Put the value of in equation (3) as :

Hence, this is the required solution.

b) returns freshwater to the earth.

c) returns freshwater to the earth.c) occurs after condensation.

d) returns freshwater to the earth.c) occurs after condensation.d) roughly equal to the amount of evaporation.

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