Person in cart traveling down a valley

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To find the apparent weight of a person in a cart at the bottom of a valley, the net force equation Fnet = Fn - Fg is used, where Fn is the normal force and Fg is the gravitational force. The correct approach involves calculating the centripetal force required for circular motion, given by F = (V^2/r) * (m1 + m2). The user expresses confusion about their calculations, specifically regarding the interpretation of apparent weight and its representation in the context of the problem. Clarification is sought on the apparent weight concept, indicating a need to reassess the relationship between forces at play. Understanding apparent weight as the normal force experienced by the person is crucial for solving the problem accurately.
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Homework Statement



A 60 kg person rides in a 20 kg cart
moving at 13 m/s at the bottom of a valley that is in the shape of an arc of a circle
with a radius of 36 m. What is the apparent weight of the person as the cart passes
the bottom of the valley?

Homework Equations



F=ma
F=(V^2/r) * (m1 + m2)

The Attempt at a Solution


Fnet = Fn - Fg
m(V^2/r) - mg
80(169/36) - 80(9.8)
= -408.44
...im stuck. I don't feel like this is right and I don't know where I really went wrong
 
Last edited:
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You have the right equations and all, but take a step back for a second. In the context of the problem, what does apparent weight represent? What quantity represents it?
 
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