Given mass, distance, and time, calculate power

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Homework Help Overview

The discussion revolves around calculating power in the context of a weightlifter lifting a barbell, specifically focusing on the relationship between mass, distance, time, and the resulting power output.

Discussion Character

  • Exploratory, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants explore different calculations for power, questioning the use of mass versus force in the equations. There is a comparison of two different results for power output, leading to uncertainty about the correct approach.

Discussion Status

Participants are actively discussing their calculations and reasoning, with some expressing confidence in their methods while others are questioning the assumptions made about mass and force. There is no explicit consensus, but guidance is being offered regarding the distinction between mass and force.

Contextual Notes

There is mention of a professor's input suggesting a different answer, which adds to the complexity of the discussion. Participants are navigating the implications of differing interpretations of the problem setup.

MathMajor
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Homework Statement



How much power does a weightlifter expend when lifting a 50kg barbell a distance of 1.2m in a time interval of 1.5s?

Homework Equations



Power=work done/time interval (in Newton meters per second or Watts)
Work=Fd (in Newton meters or Joules)


The Attempt at a Solution


Power = Fd/t = (m)(a)(d)/t = 50kg(9.8 m/s2)(1.2m)/1.5s = 392 Nm/s = 392 W

This is how I solved the problem, but my professor said the correct answer is 40 Watts!
Work = force x distance; work = 50 kg x 1.2 m, work = 60
Power = work /time; 60/1.5 = 40 Watt

Can someone please verify which way is correct? I am sticking by my answer of 392 Watts
 
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MathMajor said:

The Attempt at a Solution


Power = Fd/t = (m)(a)(d)/t = 50kg(9.8 m/s2)(1.2m)/1.5s = 392 Nm/s = 392 W

This is how I solved the problem, but my professor said the correct answer is 40 Watts!
Work = force x distance; work = 50 kg x 1.2 m, work = 60
Power = work /time; 60/1.5 = 40 Watt

'50kg' is a mass and not a force, it must be correctly multiplied by acceleration (gravity in this case) to convert it to a force. You are correct.
 
Ok, so you are sure the correct answer is 392 Watts? I feel like I will be shunned for going against the professor, but I have to go with my gut on this one.

Thanks!
 
MathMajor said:
Ok, so you are sure the correct answer is 392 Watts? I feel like I will be shunned for going against the professor, but I have to go with my gut on this one.

Thanks!

I didn't check over your answer, but I am quite sure that 'kg' is a unit of mass and not force.
 
I agree. Thanks!
 

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