Given mass, distance, and time, calculate power

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SUMMARY

The calculation of power expended by a weightlifter lifting a 50 kg barbell over a distance of 1.2 m in 1.5 seconds involves understanding the relationship between work and power. The correct formula for power is Power = Work / Time, where Work = Force x Distance. The weightlifter's power output is calculated as 392 Watts using the formula Power = (m)(a)(d)/t, where 'm' is mass, 'a' is acceleration due to gravity (9.8 m/s²), and 'd' is distance. The professor's assertion of 40 Watts is incorrect as it fails to account for the force due to gravity.

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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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