Question

when a truck is fully loaded with goods, its mass is doubled. if due to the load, it travels with half the velocity. find the ratio of kinetic energy of the loaded and empty truck

Answer 1

Dear Student ,
Here the ratio of the kinetic energies of loaded and empty truck is ,
$$\begin{gathered} \frac{E_k}{E_K\text{'}}=\frac{{\displaystyle \frac{1}{2}}m{v}^2}{\frac{1}{2}\times 2m\times {\displaystyle \frac{v^2}{4}}}=\frac{2}{1} \\ \Rightarrow E_k:E_K\text{'}=2:1. \end{gathered}$$
Regards