Question

How much force would a 55kg person experience on a roller coaster if they travel through a loop with a radius of 55kg at a speed of 14.1 m/s?

Answer 1

200 N

Step-by-step explanation:

For a body moving in uniform circular motion, the force acting on it will be centripetal force and its direction is radially inward , pointing to the center.

The radially inward acceleration, or the centripetal acceleration is given by :

a = v² / r

where v is the speed at which the body is moving and r is the radius of the circle

Given-

m = 55kg

v = 14.1 m/s

r= 55m

We know that F = ma

⇒ F = m ( v²/ r )

⇒ F = 55 x 14.1 x 14.1 / 55

⇒ F =14.1 x 14.1 = 200 N

∴ The force acting is 200 N.