A half-full reservoir is in a depth from the ground. To empty the reservoir, Junaid connected an electrical motor to uplift the water. After some time, the motor became damaged. Rahat connected another electric motor to empty the reservoir completely. If the work done by two motors are the same, find the ratio of lifted up mass of two motors.
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Answer:
We know that work done is equal to the force applied multiplied by the distance over which the force is applied. If the work done by the two motors is the same, then the force applied by the two motors multiplied by the distance over which the force is applied is the same.
Since the reservoir is half full, the work done by the first motor is to lift up half of the water. The second motor is used to lift up the remaining water. So, the ratio of lifted up mass of the two motors is 1:2.