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in Physics by (63.3k points)

A hydraulic hoist raises a 1750 kg car 1.8 m in an auto repair shop. The hydraulic pump has a constant pressure of 800 kPa on its piston. What is the increase in potential energy of the car and how much volume should the pump displace to deliver that amount of work?

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Best answer

C.V. Car.

No change in kinetic or internal energy of the car, neglect hoist mass.

E2 – E1 = PE2 - PE1 = mg (Z2 – Z1)

= 1750 × 9.80665 × 1.8

= 30 891 J

The increase in potential energy is work into car from pump at constant P.

W = E2 – E1 = ∫ P dV = P ΔV

ΔV = E2 – E1/P

= 3089/800 × 1000 = 0.0386 m3

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