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