Question

A truck is carry a box of mass $m=50kg$ on its flat horizontal rough surface with coefficient of friction $p=0.3$. It is crossing a circular track of radius $27m$. What is the maximum speed of the truck to that the box does not slide from the muck while moving on the circular path?

• A. $18km/hr$
• B. $36km/hr$
• C. $32.4km/hr$
• D. $2.5km/hr$

Answer 1

The correct option is D $2.5km/hr$

$\begin{array}{c}\frac{m{v}^2}{r}=\mu mg\\ v^2=\mu rg\\ v^2=81\\ v=9m/s=9\times \frac{5}{18}km/hr=2.5km/hr\end{array}$

Hence,

option $\left(D\right)$ is correct answer.