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A gold block slides along a level, frictionless surface at a speed of 15.0 m/s.

ID: 2256395 • Letter: A

Question

A gold block slides along a level, frictionless surface at a speed of 15.0 m/s. It then encounters a 30 degree inclined ramp which is 8.0 m long. Finally, at the base of the incline, it encounters a level surface. Both the incline and the level surface at the base of the incline have a friction coefficient with the block (.04). C_Au = 126 J/(kg K)


a) determine the change in termpature of the gold block upon coming to rest; you may assume all of the heat generated by the block remains within the block/


b) in terms of the 2nd law of thermodynamics, discuss what takes place in this problem.



Explanation / Answer

heat generated by friction = mnu *m*g*cos 30 *distance covered = .04*m*9.81*sqrt(1/2) *8 = 2.2197* m J

now, all heat is converted to raise the temperature

m*c*delta T = 2.2197 * m

delta T = 0.0176 K

B) by second law , it is clear that Work is equal to Heat generated

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