Pilot averages 190W over distance. Mass, time, power given. find H

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Homework Help Overview

The problem involves calculating the height to which a mass can be lifted using a specified power output over a given time period. The context is based on a historical example of human-powered flight, specifically the Gossamer Albatross, with parameters including power, mass, and time provided.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between power, work, and height, with some attempting to derive the necessary formulas. Questions are raised about the work done during the time period and the implications of lifting a mass in terms of energy transfer.

Discussion Status

There is an ongoing exploration of how to relate power to work and height, with various participants suggesting different approaches and questioning the definitions and relationships between the quantities involved. Some guidance has been offered regarding the use of power to calculate work done.

Contextual Notes

Participants are considering the definitions of power and work, as well as the assumptions related to the forces acting on the mass being lifted. There is a focus on the need for clarity in the relationships between the variables involved.

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Homework Statement


In 1979 the human powered Gossamer Albatross flew across the English Channel. The pedalling pilot averaged 190 W over the distance. If the pilot's power was used to lift a 110 kg mass, to what height would he lift the mass in a time of 25 s?


Homework Equations


P = W/T
W=FxD


The Attempt at a Solution


All I am looking for is the formula to solve this question.
P = 190 J/S
M = 110 kg
Time = 25 s

How to find the height?
 
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How much work would he have done during this period?
Lifting a mass up ... what happens to its energy?
 
andrevdh said:
How much work would he have done during this period?
Lifting a mass up ... what happens to its energy?

Work = F x D


F=mg
F=110 x 9.8
F=1078 N

But how do we find the distance?
 
190 W is a quantity of power. Check out the definition (and units) of power.
 
Use the power rating to calculate the amount of work that the pilot will do during the stated period of time.
 
Instead of W=FD think about W=mgh
 

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