A water pump is pumping up water from a well which is 120 m deep.How much work must be done by the pump to raise 2 kg of water?(g=9.8 m s^-2)
Question
A water pump is pumping up water from a well which is 120 m deep.How much work must be done by the pump to raise 2 kg of water?(g=9.8 m s^-2)
Solution
The work done by the pump to raise the water can be calculated using the formula for work done, which is:
Work Done = Force x Distance
In this case, the force is the weight of the water, which can be calculated using the formula:
Weight = Mass x Gravity
So, let's calculate the weight of the water first:
Weight = Mass x Gravity = 2 kg x 9.8 m/s^2 = 19.6 N
Now, we can calculate the work done:
Work Done = Force x Distance = Weight x Depth of well = 19.6 N x 120 m = 2352 J
So, the pump must do 2352 Joules of work to raise 2 kg of water from a well 120 m deep.
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