High School

A pump stores 200 kg of water in a tank located at a height of 10 meters in 5 minutes. What is the work done by the pump, in joules?

A) 19,600 J
B) 19,600,000 J
C) 196,000 J
D) 196,000,000 J

Answer :

Final answer:

The work done by the pump can be calculated using the formula: Work = force x distance. The force exerted by the pump is equal to the weight of the water being lifted, which is given by: Force = mass x acceleration due to gravity. The distance over which the work is done is the height of the tank, which is 10 meters. Therefore, the work done by the pump is 19600 J.

Explanation:

The work done by the pump can be calculated using the formula:

Work = force x distance

The force exerted by the pump is equal to the weight of the water being lifted, which is given by:

Force = mass x acceleration due to gravity

Since the mass of water is 200 kg and the acceleration due to gravity is approximately 9.8 m/s², the force exerted by the pump is 200 kg x 9.8 m/s² = 1960 N.

The distance over which the work is done is the height of the tank, which is 10 meters.

Therefore, the work done by the pump is:

Work = 1960 N x 10 m = 19600 J

So, the correct answer is A) 19600 J.