What is the relation of mass and power?

AI Thread Summary
The discussion focuses on calculating power using mass, distance, and time. The initial approach suggests using the formula W=Fx to determine work, with force derived from mass and gravity. However, participants emphasize the need for additional details, such as the incline angle and whether the distance refers to height or slope length. A specific example involving a 50 kg woman running uphill is presented to illustrate the calculation process. Ultimately, it is confirmed that the method can work under certain assumptions, like ignoring friction and assuming 100% efficiency.
Generally Confused
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How should power be calculated in a situation where distance and time are both given, as well as mass. At first, I was thinking of just using W=Fx (force as mass x 9.8) to solve for work, and then I would take the solution for work and put it into P=wt.

Does this make sense? That's my best guess, but I'd really appreciate if you could tell me whether or not I am handling mass correctly.
 
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Generally Confused said:
How should power be calculated in a situation where distance and time are both given, as well as mass. At first, I was thinking of just using W=Fx (force as mass x 9.8) to solve for work, and then I would take the solution for work and put it into P=wt.

Does this make sense? That's my best guess, but I'd really appreciate if you could tell me whether or not I am handling mass correctly.

You haven't given enough information to be able to tell. For example if an object of mass 2 kg is located 3 m away for a time of 4 s, then I've been given mass, distance, and time. But I need more details to be able to determine the work done and the power developed.
 
Mister T said:
You haven't given enough information to be able to tell. For example if an object of mass 2 kg is located 3 m away for a time of 4 s, then I've been given mass, distance, and time. But I need more details to be able to determine the work done and the power developed.

Alright. So take a woman weighing about 50kg running uphill. If the hill is 5m, how much power would be required for her to reach the top in 3 seconds? (Sorry, this is sort of a bad example, but I figured it kind of demonstrates the format.) Does the process I explained work for this?
 
Generally Confused said:
Alright. So take a woman weighing about 50kg running uphill. If the hill is 5m, how much power would be required for her to reach the top in 3 seconds?

still not enough info

what is the angular incline of the hill ?
is the 5m you state the height of the hill or the length of the incline slope ?
 
Generally Confused said:
Alright. So take a woman weighing about 50kg running uphill. If the hill is 5m, how much power would be required for her to reach the top in 3 seconds? (Sorry, this is sort of a bad example, but I figured it kind of demonstrates the format.) Does the process I explained work for this?

Assuming an altitude of 5 m, yes; ignoring friction and assuming she's 100% efficient.
 
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