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A toy 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

User Fpointbin
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Answer:106.6N

Step-by-step 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

User John Peter
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