2. A water pump that consumes 2 kW of electric power when operating is claimed to take in water from a lake and pump it to a pool whose free surface is 30 m above the free surface of the lake at a rate of 50 L/s. Determine if this claim is reasonable

the claim is false

Explanation:

Power consumed = mgh

m = ρv where volume per seconds (1 l = 0.001 m³) = 50 L/s * 0.001 m³ = 0.05 m³, ρ density of water = 1000 kg/m³

P consumed = ρv gh = 0.05 m³*1000 kg/m³ * 9.8m/s * 30 m = 14700 = 14.7 Kw

This claim is false because the power consumed is greater then the 2kW reported.