Work or Net Work when calculating Power?

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SUMMARY

When calculating power, it is essential to consider NET work, which is based on the net force acting on the object. In the provided scenario, with a 5N force acting east and a 2N force acting west over a displacement of 3m east in 3 seconds, the net work done is 3J, resulting in a power output of 1W. Alternatively, if considering individual forces, the power exerted by the 5N force is 5W, while the 2N force exerts -2W, leading to confusion. The correct approach depends on the context of the question, but net power is the standard calculation.

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Homework Statement
Calculate the power.
Forces: 5N east, 2N west
Displacement: 3m east
Time: 3s
Relevant Equations
Work, Power
When calculating power, which is Work/time, do we consider NET work (work calculated based on net force) or just work done by the individual force that goes in the same direction as the displacement?

If it's the first, then power is 3W.
If it's the second, then power is 5W.

Which one is correct?
 
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brawler234 said:
Homework Statement:: Calculate the power.
Forces: 5N east, 2N west
Displacement: 3m east
Time: 3s
Homework Equations:: Work, Power

When calculating power, which is Work/time, do we consider NET work (work calculated based on net force) or just work done by the individual force that goes in the same direction as the displacement?

If it's the first, then power is 3W.
If it's the second, then power is 5W.

Which one is correct?
It depends what the question asks for. Please quote the whole question.
 
haruspex said:
It depends what the question asks for. Please quote the whole question.

It basically just asks us to calculate the power.
 
brawler234 said:
It basically just asks us to calculate the power.
If the information you posted is really all you have, and a single answer is wanted, then I would go for net power.
The alternative is to say the first force exerts power 5W while the second exerts power -2W.
 
haruspex said:
If the information you posted is really all you have, and a single answer is wanted, then I would go for net power.
The alternative is to say the first force exerts power 5W while the second exerts power -2W.

But I thought that force needs to be in the same direction as displacement, otherwise work isn't done.
 
brawler234 said:
But I thought that force needs to be in the same direction as displacement, otherwise work isn't done.
yes, but that includes the case of opposite direction.
If a force F advances a distance s then it does work Fs. This is true even when F or s is negative,
If I push against an object with force 2N and it yields 1m I have done work 2J on it.
If, at the same time, you were pushing the opposite way with force 1N then the object has done work 1J on you (and you have done work -1J on the object). The net work done on the object is 2-1=1J, and this will take the form of gained KE.

If, in the question, the second force had been to the N, all else the same, it would have done no work (no displacement in the NS direction).
 

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