Minimum Work Physics Problem | 65 kg Student Climbs 8.0 m Stairway in 12 s

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Homework Help Overview

The problem involves calculating the minimum work done by a student who climbs an 8.0 m-high stairway, with a focus on the physics of work and force. The subject area includes concepts from mechanics, specifically relating to work-energy principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between work, force, and distance, with some attempting to apply kinematic equations. Questions arise regarding the relevance of time in the calculation of work.

Discussion Status

Some participants have provided hints and clarifications regarding the formulas for work and force, while others reflect on their understanding of the problem. There is an acknowledgment of a trick aspect to the question, but no explicit consensus on the final interpretation or solution.

Contextual Notes

Participants are navigating the implications of using different formulas and the role of distance in calculating work. There is a mention of the minimum work required being related to the force acting against gravity, but the discussion remains open-ended.

brentwoodbc
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Homework Statement



What is the minimum work done when a 65 kg student climbs an 8.0 m-high stairway in 12 s?




The Attempt at a Solution


v=d/t
v=8/12
v=2/3

v = v2+v1 over 2
2/3 = v2+0 over 2
v2 = 2x[2/3]
v2=4/3

w=deltaEk
w=.5x65x[4/3]^2 - .5x65x0
w = 57 j ?

answer is 5100 j
 
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Hint :work is force times distance. So the time taken does not matter at all.
 


Edit I get it, trick question lol.
thank you.
 


brentwoodbc said:
I know
w=fd
f=ma
f=65x9.8
f=5096

but that doesn't have time or distance.

It seems you got the answer!
The minimum work needed would be done by a force acting upward, in the opposite direction of the weight. Its magnitude would have to be greater than the weight, so >65 kg*9.8m/s^2 as you did.
You wrote w=fd, where w is the work, f is the force and d is the distance. Then you said that the formula doesn't have a distance?
Well you've done it :)
 


fluidistic said:
It seems you got the answer!
The minimum work needed would be done by a force acting upward, in the opposite direction of the weight. Its magnitude would have to be greater than the weight, so >65 kg*9.8m/s^2 as you did.
You wrote w=fd, where w is the work, f is the force and d is the distance. Then you said that the formula doesn't have a distance?
Well you've done it :)

haha, i know what I typed wasnt actually what I did.
 

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