The work done on the boxes and the energy spent is 700J while the power required to lift 4 boxes per minute is 2.8kW
This work done on an object is the force required to move that object from point A to point B.
Data Given;
- Weight (mg) = 200N
- Distance (s) = 3.5m
Work Done
This is the work done to move the boxes from point A to point B.
[tex]w = F.s\\F = ma = mg = 200N\\w = 200 * 3.5\\w = 700J[/tex]
The work done to move the object is 700J
Energy
This is used to calculated the energy used to carry the work done and the formula is given as
[tex]E = force * displacement\\E = F.s\\E = 200 * 3.5\\E = 700J[/tex]
The energy transferred when he lifts one box is 700J
Power
Power is the rate at which energy is used with respect to time
[tex]P = E/t\\[/tex]
The energy required to lift 4 boxes in one minutes is
[tex]700 * 4 = 2800[/tex]
Now we can calculate the power used
[tex]P = Energy / time\\P = 2800 / 1 \\P = 2800W = 2.8kW[/tex]
The power required to move four boxes in 1 minutes is 2.8kW
From the calculations above, the following was gotten
- work done = 700J
- Energy = 700J
- Power = 2800W or 2.8kW
Learn more on work done, energy and power here;
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