Finding the force given the mass and radius.

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ilc
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The attachment shows my approach to this problem, however, the answer is incorrect.

can anyone explain to me how i should be thinking of this problem?
 
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  • Handwritten work on a roller-coaster problem: a = v^2/r, a = 40, F = m.a = 500 x 40 = 20,000 N. Printed figure of a roller coaster with a 10 m loop and a 15 m radius hill labelled.
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ilc said:
The attachment shows my approach to this problem, however, the answer is incorrect.

can anyone explain to me how i should be thinking of this problem?
Handwritten work on a roller-coaster problem: a=v^2/r, a=40, F=m·a, F=500×40, 20,000 N, beside a printed diagram of a roller-coaster track with points A and B marked and radii of 10 m and 15 m.

Hello ilc. Welcome to PF!

Draw a free body diagram for the roller-coaster car.

There are two forces acting in the car.

You only accounted for one of them.