Question

A 60-kg person on a merry-go round is travelling in a circle with a radius of $3m$ at a speed of $6m/s$. What is the magnitude of the net force experienced by this person?

• A. $zero$
• B. $60N$
• C. $180N$
• D. $600N$
• E. $720N$

Answer 1

The correct option is E $720N$

It is given that

Mass of person $m=60Kg$

The person is travelling in a circular path of radius $r=3m$

Velocity of person is $v=6m/s$

Centripetal acceleration is

$a_c=\frac{v^2}{r}$

$a_c=\frac{6^2}{3}=12m/s^2$

Force

$F=ma$

$=60\times 12$

$=720N$