At Sea World, a 35.0-kg seal slides down aramp into the pool below. The top of t

Question

At Sea World, a 35.0-kg seal slides down aramp into the pool below. The top of the ramp is 1.65 m higher than the surface of the water, and theramp is inclined at an angle of 30.0° above the horizontal. Theseal reaches the water with a speed of 4.90 m/s. (a) What is the work is done by kineticfriction?
(b) What is the coefficient of kinetic friction between the sealand the ramp?
(a) What is the work is done by kineticfriction?
(b) What is the coefficient of kinetic friction between the sealand the ramp?

Explanation / Answer

The length of the ramp is given by          L = h/sin =1.65m/ sin30 = 3.3m Now the net work done       ] mgsin - fk ]* L =1/2 mv2           fk* L = mgsin - 1/2 mv2                   = [(35kg) (9.8) sin30] (3.3) - 1/2 (35) (4.9)2                   = 145.77 J (b) cofficient of friction k = 145.77 /mgcos30 = 145.77 / (35) (9.8) cos30 = 0.49

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