At Sea World, a 36.0-kg seal slides down aramp into the pool below. The top of t

Question

At Sea World, a 36.0-kg seal slides down aramp into the pool below. The top of the ramp is 1.55 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

PE = m g h = 36 * 9.8 * 1.55 = 547 J    potential energy at top KE = 1/2 m v2 = 1/2 * 36 * 4.92 = 432J    kinetic energy at bottom 547 - 432 = 115 J    energy lost tofriction N L = 115 J    where N is the normalforce and L the length of the slide sin = 1/2 = h / L = 1.55 / L L = 3.1 m N = m g cos 30 = 36 * 9.8 * .866 = 306 N = 115 / (3.1 * 306) = .121   coefficient of kinetic friction

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