Question

A 100 kg cart goes around the inside of a vertical loop of a roller coaster. The radius of the loop is 3 m and the cart moves at a speed of 6 m/s at the top. The force exerted by the track on the cart at the top of the loop is ___________.

Answer 1

The centripetal force acting on the object is 1200N

Explanation:

Given-

mass, m = 100kg

radius, r = 3m

Velocity, v = 6m/s

Force, F = ?

When an object moves in a circular motion, then centripetal force acts on it.

We know,

Centripetal force, Fc = mv²/r

                             Fc = $100 X \frac{6^2}{3}$

                             Fc = 1200N

Therefore, the centripetal force acting on the object is 1200N