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Question

(a) What do you understand by the kinetic energy of a body? (b) A body is thrown vertically upwards. Its velocity goes on decreasing. What happens to its kinetic energy as its velocity becomes zero? (c) A horse and a dog are running with the same speed. If the weight of the horse is ten times that of the dog, What is the ration of their kinetic energies?

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Solution

(a) The energy possessed by a body by virtue of its motion is known as kinetic energy. It is directly proportional to the mass and square of the velocity of the moving body. (b) When a body is thrown vertically upwards against the force of gravity, its kinetic energy keeps on decreasing as its velocity decreases. At the maximum height, kinetic energy becomes zero, as the velocity of the body becomes zero at this moment. The kinetic energy of the body is completely transformed in to potential energy at the maximum height. (c) Kinetic energy of a moving body is directly proportional to its mass. Hence, if the mass of the horse is 10 times the mass of the dog, then, $\frac{{\left(\mathrm{Kinetic}\mathrm{energy}\right)}_{\mathrm{Horse}}}{\left(\mathrm{Kinetic}\mathrm{energy}{\right)}_{\mathrm{Dog}}}=\frac{10}{1}$

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