Calculating Work Load: 55kg Mass Walking up 20 Steps

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Homework Help Overview

The discussion revolves around calculating the work done by a person with a mass of 55 kg walking up a set of stairs consisting of 20 steps, each 20 cm high. The participants are exploring the application of the work formula W=FxD, where force and displacement are key components.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to determine the total height of the stairs and the corresponding work done in raising the mass. There is a question regarding the appropriate value of gravitational acceleration (g) to use in the calculations, with suggestions of using 9.81, 9.8, or a rounded value of 10.

Discussion Status

The discussion is ongoing, with participants providing hints and exploring different interpretations of the problem. There is no explicit consensus on the approach to take regarding the value of g or the calculation of work.

Contextual Notes

Participants are considering significant figures in their calculations, noting that the values provided in the problem may influence the precision of their answers.

SailorMoon01
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A person with mass 55kg walks at a constant speed up a set of stairs with 20 steps, each 20 cm high.


I have to find the work load.
Formula: W=FxD where F is force and D is displacement.

The book says my answer should be 2.2x10^3. OR 2,200 Joules.

I really don't know how to do this. Please help me :)
 
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SailorMoon01 said:
A person with mass 55kg walks at a constant speed up a set of stairs with 20 steps, each 20 cm high.


I have to find the work load.
Formula: W=FxD where F is force and D is displacement.

The book says my answer should be 2.2x10^3. OR 2,200 Joules.

I really don't know how to do this. Please help me :)

20 steps each 20cm high totals 4m.
How much work is done raising a 55 kg mass through 4 m. That could be a good start.
I wonder whether you are supposed to take the value of g as 9.81, just 9.8 or perhaps even a round 10.
 
9.8 is probably fine, considering the answer and all the values given only have two sig figs.
 
tal444 said:
9.8 is probably fine, considering the answer and all the values given only have two sig figs.

If you want to get 2.2 x 103N that would be fine, but if you want to get 2200 it is not. My statement was a hint rather than a puzzle to me.
 

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