How Is Work Done by Friction Calculated on a Quarter Circle Ramp?

AI Thread Summary
To calculate the work done by friction on Jim's skateboard down a quarter circle ramp, one can apply the principle of conservation of energy. The initial potential energy at the top of the ramp can be compared to the kinetic energy at the bottom, accounting for work done against friction. The mass of Jim and the skateboard is 67.0 kg, and the radius of the ramp is 6.50 m, with a final speed of 2.82 m/s. The frictional force does not need to be directly calculated, as the work done by friction can be inferred from the energy difference. Understanding these concepts allows for solving the problem without needing the coefficient of kinetic friction.
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Homework Statement



Jim rides his skateboard down a ramp that is in the shape of a quarter circle with a radius of 6.50 m. At the bottom of the ramp, Jim is moving at 2.82 m/s. Jim and his skateboard have a mass of 67.0 kg. How much work is done by friction as the skateboard goes down the ramp?
______J



Homework Equations



angular velocity? + frictional force equation?

The Attempt at a Solution



How is the frictional force determined from this without the kinetic friction coefficient?
 
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In this case you do not actually need the force of friction to find the work done by it.

HINT: Think in terms of conservation of energy. What can this principle tell you about this problem?
 

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