Dynamics, Newton's laws, Problem with free body diagram and work

AI Thread Summary
A boy skateboards down a frictionless curved ramp, and the problem involves calculating his speed at the bottom, drawing free-body diagrams at various points, determining the normal force, and finding the work done by that force. The solution for speed utilizes the conservation of energy principle, equating potential energy to kinetic energy. For the free-body diagrams, participants are advised to label the forces acting on the skateboarder and their directions. It is noted that the work done by the normal force is zero because its direction is perpendicular to the motion of the skateboarder. Understanding these concepts is crucial for solving the problem accurately.
akmenio
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Homework Statement


A boy skateboards down a curved playground ramp. If we treat the boy and his skateboard as a
particle of total mass m = 25:0 kg, he moves through a quarter-circle with radius R = 3:0 m. He
starts from rest at point A and there is no friction.
(a) Find his speed at the bottom of the ramp
(b) Draw free-body diagrams for points A, B, C and D.
(c) Find the normal force that acts on him at the bottom of the curve
(d) Find work done by the normal force

Homework Equations


E=mgh
E=(mv^2)/2

The Attempt at a Solution


I find answer for a, I use that change of potential energy is equal to kinetic. Also I done c because the normal force is equal change of potential energy. But i haven't got idea how to draw free-body diagrams and whywork done by normal force is equal 0 (Our teacher give us this answer)
 

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akmenio said:
I find answer for a, I use that change of potential energy is equal to kinetic.
Good.

Also I done c because the normal force is equal change of potential energy.
Not sure what you mean.

But i haven't got idea how to draw free-body diagrams
Just label the forces acting on the particle, indicating their direction.

and whywork done by normal force is equal 0
At any point along the path, how does the direction of the normal force compare to the direction the particle is moving?
 
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