Output rating of the pump motor in watts

AI Thread Summary
To determine the output rating of the pump motor, calculations must consider the weight of the water being lifted and the height it is raised. The pump needs to lift 29.0 kg of water per minute through 3.70 m, which requires calculating the gravitational force and the work done over that distance. In a separate scenario, a pilot who fell 380 m and landed in a snowbank sustained minor injuries, prompting calculations for the work done by the snow and the average force exerted to stop him. The pilot's mass and terminal velocity are key factors in estimating the work done by air resistance during the fall. Accurate calculations for both scenarios are essential for understanding the required output ratings and forces involved.
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A pump is to lift 29.0 kg of water per minute through a height of 3.70 m. What output rating (watts) should the pump motor have?


An airplane pilot fell 380 m after jumping without his parachute opening. He landed in a snowbank, creating a crater 1.2 m deep, but survived with only minor injuries. Assume that the pilot's mass was 75 kg and his terminal velocity was 50 m/s.
(a) Estimate the work done by the snow in bringing him to rest.
J
(b) Estimate the average force exerted on him by the snow to stop him.
N
(c) Estimate the work done on him by air resistance as he fell.
 
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