Given:
a) Object with mass 10m and velocity v
b) Object with mass 2m and velocity 3v
Required: The object has the greatest kinetic energy.
Explanation:
The kinetic energy for an object with a mass of 10m and velocity v will be
[tex]\begin{gathered} K.E._a=\frac{1}{2}\times10m\times v^2 \\ =5mv^2 \end{gathered}[/tex]The kinetic energy for an object with a mass of 2m and velocity of 3v will be
[tex]\begin{gathered} K.E._b=\frac{1}{2}\times2m\times(3v)^2 \\ =9mv^2 \end{gathered}[/tex]Final Answer: The object with a mass of 2m and velocity of 3v has the greatest kinetic energy.
