A motorcycle has a constant speed of 27.0m/s as it passes over the top of a hill

Question

A motorcycle has a constant speed of 27.0m/s as it passes over the top of a hill whose radius of curvatureis 123 m. The mass of the motorcycle anddriver is 324 kg. (a) Find the magnitude of the centripetal forcethat acts on the cycle.

1 N

(b) Find the magnitude of the normal force that acts on thecycle.

2 N

Thanks for your help! :)
(a) Find the magnitude of the centripetal forcethat acts on the cycle.

1 N

(b) Find the magnitude of the normal force that acts on thecycle.

2 N

Thanks for your help! :)

Explanation / Answer

Speed v = 27 m / s

Radius r = 123 m

Mass m = 324 kg

(a). centripetal force = m v ^ 2/ r

                                 = 1920.3 N

(b). Normal force = mg – ( mv ^ 2/ r )

                            = 3175.2 – 1920.3 = 1254.9 N

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