A pump transfers water from an underground reservoir to an overhead tank in two…
PHYSICS · Multi-part · CBSE · Physics · Work and Energy · Work and Energy
Problem
A pump transfers water from an underground reservoir to an overhead tank in two distinct stages.
Stage 1: It lifts 6000kg of water vertically through 30m in 10min.
Stage 2: Without interruption it raises the same water a further 15m to the roof tank in 5min.
Take g=9.8ms−2.
(i) Calculate the mechanical work done in each stage and hence find the total work done.
(ii) Determine the overall time taken for the operation.
(iii) Compute the average power developed by the pump for the entire process in watts and in kilowatts.
(iv) Convert the total mechanical work obtained in part (i) into kilowatt–hours (1kWh=3.6×106J).