The ratio of kinetic engery between two objects having mass as 3m and m/2 along with the speed of 2v is 6.
A kinetic energy is the engery generated by the movement or the motion of the moving objects. It is required for the acceleration of the moving body or the object.
Computation:
[tex]\begin{aligned}\dfrac{(\text{KE})_1}{(\text{KE})_2}&=\dfrac{\frac{1}{2}{m_1}\;{v_1^2}}{\frac{1}{2}{m_2}\;{v_2^2}}\\\\&=\dfrac{\frac{1}{2}{2m}\;{3v^2}}{\frac{1}{2}{3m}\;{v^2}}\\\\&=\dfrac{2\times9}{3}\\\\&=6\end{aligned}[/tex]
Therefore the ratio is 6.
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