Question

(a) write an expression for kinetic energy of an object with mass a moving with uniform speed v. state its SI unit.
(b) keeping the velocity same of the mass of the object is haved of its limitation value, find the ratio of changed kinetic energy to the original kinetic energy.
(c) keeping the mass same of the velocity of the object is reduced of its limited velocity, find the ratio of changed kinetic energy to the original kinetic energy.

Answer 1

$$\begin{gathered} a)K.E=\frac{1}{2}m{v}^{2}Joule \\ b)m\text{'}=m/2, \\ \frac{K.E_1}{K.E_2}=\frac{m}{m\text{'}}=\frac{2}{1} \\ c)Ifv\text{'}=v/2 \\ \frac{K.E_1}{K.E_2}=\frac{v^2}{v{\text{'}}^2}=\frac{4}{1} \end{gathered}$$