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Jim rides his skateboard down a ramp that is in the shape of a quarter circle with a radius of 5.00 m. At the bottom of the ramp, Jim is moving at 9.00 m/s. Jim and his skateboard have a mass of 58.4 kg. How much work is done by friction as the skateboard goes down the ramp?

Respuesta :

Answer:

Wfr=-496.4 J

Explanation:

The total work of the motion is describe

x=5.0m

v=9.0 m/s

m=58.4kg

[tex]W_{total}=W_{g}+W_{fr}[/tex]

[tex]W_{total}=\frac{1}{2}*m*(v_{f})^{2}\\W_{g}=m*g*x[/tex]

The Work of the friction can be find without know the coefficient however knowing the total work and the work done by the gravity down a ramp can find the work of the friction

[tex]W_{fr}=W_{total}-W_{g}\\W_{fr}=\frac{1}{2}*m*(v_{f})^{2}-m*g*x[/tex]

[tex]W_{fr}=\frac{1}{2}*58.4kg*(9\frac{m}{s})^{2}-58.4kg*9.8\frac{m}{s^{2}}*(0m-5m)\\W_{fr}=-496.4 J[/tex]

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