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.

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.