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7 June, 16:26

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

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  1. 7 June, 16:36
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    Answer: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
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