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## Homework Statement

A motorcycle has a constant speed of 25.0m/s as it passes over the top of a hill whose radius of curvature is 126m. The mass of the motorcycle and driver is 342kg. Find the magnitudes of (a) the centripetal force and (b) the normal force the acts on the cycle

## Homework Equations

Fc = (mv^2)/r

W = mg

## The Attempt at a Solution

Well for part a I got the right answer,

Fc = (mv^2)/r

Fc = 342(25^2)/r

Fc = 1696N => 1.70 x 10^3N

however for part b i got the wrong answer. this is my thinking

Since centripetal force always points towards the centre, and since the motorcycle is at the top of the hill, then the net force in the y direction is equal to = N-Fc-W

Therefore N = Fc + W

N = 1696 + mg

N = 1696 + (342)(9.8)

N = 5047.6

however the right answer is 1.66 x 10^3N

help please