Question

In 35.0 s, a pump delivers 0.550 m3 of oil into barrels on a platform 25.0...

In 35.0 s, a pump delivers 0.550 m3 of oil into barrels on a platform 25.0 m above the pump intake pipe. The density of the oil is 0.820 g/cm3.

a. Calculate the work done by the pump.
b. Calculate the power produced by the pump.

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Homework Answers

Answer #1

a. Calculate the work done by the pump.

Mass lifted = (0.550 m3) x (1.00 x 106 cm3/m3)(0.820 g/cm3)

                  = 4.51 x 105 g = 451 kg

The work done is

W = Fgd = mg (h) = (451 kg)(9.80 m/s2)(25.0 m)

              = 1.10 x 105 J = 1.10 x 102 kJ

b. Calculate the power produced by the pump.

P = W / t = 1.10 x 102 kJ / 35s = 3.14 kW

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