Question

A block of mass $m$ is revolving in a smooth horizontal plane with a constant speed $v$. If the radius of the circular path is $R$, find the total constant force received by the block.

• A. $\frac{m{v}^2}{R}$
• B. mg
• C. $m\sqrt{\frac{v^4}{R^2}+4g^2}$
• D. $m\sqrt{\frac{v^4}{R^2}+g^2}$

Answer 1

The correct option is D $m\sqrt{\frac{v^4}{R^2}+g^2}$

$N=\sqrt{{\left(\frac{{mv}^2}{R}\right)}^2+{\left(mg\right)}^2}N=m\sqrt{\frac{v^4}{R^2}+g^2}$