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Question
A solid sphere starts from rest at the top of an incline of height h and length l, and moves down. The force of friction between the sphere and the incline is F. This is insufficient to prevent slipping. The kinetic energy of the sphere at the bottom of the incline is W.
A solid sphere starts from rest at the top of an incline of height h and length l, and moves down. The force of friction between the sphere and the incline is F. This is insufficient to prevent slipping. The kinetic energy of the sphere at the bottom of the incline is W.
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Solution
The correct options are
A the work done against the force of friction is Fl.
B The heat produced is Fl.
D W=mgh−Fl.
The force of friction acts over the length L, thus the work done in overcoming friction here would be Fl. Thus option A is correct. Using the energy balance we see that the potential energy at the top is spent in overcoming friction and is the converted to kinetic energy at the bottom. Thus option D is correct.
A the work done against the force of friction is Fl.
B The heat produced is Fl.
D W=mgh−Fl.
The force of friction acts over the length L, thus the work done in overcoming friction here would be Fl. Thus option A is correct. Using the energy balance we see that the potential energy at the top is spent in overcoming friction and is the converted to kinetic energy at the bottom. Thus option D is correct.
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