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

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SUMMARY

The discussion centers on a physics problem involving a boy skateboarding down a curved ramp, with a total mass of 25.0 kg and a radius of 3.0 m. Key equations utilized include the conservation of energy, E=mgh and E=(mv^2)/2, to determine the boy's speed at the bottom of the ramp and the normal force acting on him. The normal force is identified as equal to the change in potential energy, and it is established that the work done by the normal force is zero due to its direction being perpendicular to the motion of the skateboarder.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free-body diagrams
  • Knowledge of conservation of energy principles
  • Basic skills in calculating forces and work
NEXT STEPS
  • Study the principles of free-body diagrams in physics
  • Learn about the work-energy theorem and its applications
  • Explore the concept of centripetal force in circular motion
  • Review examples of energy conservation in mechanical systems
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This discussion is beneficial for physics students, educators, and anyone interested in understanding dynamics, free-body diagrams, and the application of Newton's laws in real-world scenarios.

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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