You are going to lift an elephant (mass = 2.6 103 kg) over your head (1.9 m vert

Question

You are going to lift an elephant (mass = 2.6 103 kg) over your head (1.9 m vertical displacement).

(a) Calculate the work required to do this. You will lift the elephant slowly (no tossing of the elephant allowed!). If you want, you can use a pulley system. (This does not change the energy required to lift the elephant, but it definitely reduces the force required to do so.)

(b) How many doughnuts (260 food calories each) must you metabolize to supply the energy for this feat? (Assume the body converts 100% of the food energy into mechanical energy.)

Explanation / Answer

a) W = F*d = 2.6*10^3*9.81 *1.9 = 48461.4 J (= 11574.8 cal)

b) Doughnuts = 11574.8/260 = 44.5

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