Person in cart traveling down a valley

• redworld33
Remember that apparent weight is not the same as actual weight. Once you figure this out, you should be able to finish the solution.In summary, the apparent weight of a 60 kg person riding a 20 kg cart moving at 13 m/s at the bottom of a valley with a radius of 36 m is -408.44 N. To calculate this, the net force is equal to the normal force minus the force of gravity, which can be found using the equations F=ma and F=(V^2/r) * (m1 + m2). However, it is important to note that apparent weight is not the same as actual weight.
redworld33

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:
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?

1. What causes a person in a cart to travel down a valley?

A person in a cart travels down a valley due to the force of gravity. The slope of the valley provides a downward force which pulls the cart and person down.

2. How does the weight of the person and cart affect their speed while traveling down a valley?

The weight of the person and cart does not directly affect their speed. However, a heavier cart may require more force to overcome friction and maintain a constant speed down the valley.

3. What role does friction play in a person traveling down a valley in a cart?

Friction acts as a resistance force against the motion of the cart, slowing it down. The amount of friction depends on the surface of the valley and the materials of the cart and wheels.

4. How does the slope of the valley impact the person's journey in a cart?

The steeper the slope of the valley, the greater the force of gravity acting on the cart and person. This can result in a faster descent and potentially more difficult control of the cart.

5. Is there a way to slow down or stop a cart from traveling down a valley?

Yes, there are several ways to slow down or stop a cart from traveling down a valley. This can include using brakes, changing the angle of the wheels, or adding additional weight to the cart to increase friction.

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