Question

A small block of mass 100 gm moves with uniform speed in a horizontal circular groove, with ve side walls of radius 25 cm. If the block takes 2 sec to complete one round, the normal contact for the sidewalls of groove

• A. 0.25N
• B. 1.05 N
• C. 0.75 N
• D. 0.5 N

Answer 1

The correct option is A 0.25N

Given that,

$\begin{array}{c}t=2\sec \\ \Rightarrow \frac{2\pi r}{V}=2\\ \Rightarrow V=\pi r\\ \therefore N=\frac{m{v}^2}{r}\\ N=\frac{100\times {\pi }^2\times r^2}{1000\times r}\\ r=\frac{25}{100}=0.25N\\ \therefore normal=0.25N\end{array}$

$\therefore$ Option $A$ is correct answer.