Question:
A body of mass $\mathrm{m}=10^{-2} \mathrm{~kg}$ is moving in a medium and experiences a frictional force $\mathrm{F}=-\mathrm{kv}^{2}$. Its intial speed is $\mathrm{v}_{0}=10 \mathrm{~ms}^{-1}$. If, after $10 \mathrm{~s}$, its energy is $\frac{1}{8} \mathrm{mv}_{0}^{2}$, the value of $\mathrm{k}$ will be :-
Correct Option: 1
Solution: