A 285 kg stunt boat is driven on a surface of a lake at a constantspeed of 13.5

Question

A 285 kg stunt boat is driven on a surface of a lake at a constantspeed of 13.5 m/s toward a ramp, which is angled at 25 degreesabove the horizontal. The coefficient of friction between tehboat bottom and the ramp's surface is 0.150, and the raised end ofthe ramp is 2.00 m above the water surface. (a) assuming theengines are cut off when the boat hits the ramp, what is the speedof the boat as it leaves the ramp? (b) what is the speed ofthe boat when it strikes the water again? Neglect any effectsdue to air resistance.

Explanation / Answer

a) let the speed of the boat as it leaves the ramp be u , heighof the ramp h = 2.00m for energy conservation (1/2)mu2 + mgh = (1/2)m(13.5m/s)2 => u = [(13.5m/s)2 -2*9.8m/s2*2.00m] = 11.96m/s the speed of the boat as it leaves the ramp is 11.96m/s b) let the speed be v when it stike the water again. for energy conservation, we have: (1/2)m(13.5m/s)2 = (1/2)mv2 =>v = 13.5m/s =>v = 13.5m/s

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