Atoy roller coaster cart has a mass of 2kg. the track of the roller coaster has a semicircular valley with a radius of 1.2 meters. if the cart has a speed of 8 m/s at the very bottom of the valley, find the amount of centripetal force necessary to complete the motion

106.6N

Explanation:

Centripetal force is a force that cause a body to move along a circular path in a field. The body possesses a mass and velocity(since it's moving) and also radius alone the circular path on which it moves.

Given mass (m) = 2kg, velocity (v) = 8m/s and radius (r) = 1.2m

Centripetal acceleration(a)= v²/r

Centripetal force = ma = mv²/r

Substituting this values in the formula above we have;

Centripetal force = 2×8²/1.2m

Centripetal acceleration = 128/1.2

= 106.6N