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posted by  Cowboy15 on 11/17/2007 8:21:24 PM  |  status: Closed  

Algebra

Course Textbook Chapter Problem
Algebra N/A N/A N/A
Question Details:
Write an equation that expresses the relationship. Use k as the constant of variation.
 
The weight of a body above the surface of the earth is inversely proportional to the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 8?
 
 
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posted by Mbandi on 11/17/2007 8:28:47 PM  |  status: Live
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weight =  k  where r is  its distance from the centre of the earth.
              r2
 
Therefore the weight will become reduced upon multiplying the distance by 8.
Tags: Math, Algebra
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posted by Dr. House on 11/17/2007 8:30:01 PM  |  status: Live
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mass = m
inverse means 1/k
d = distance
 
m = k*mass/ (d2)
 
Then if is multiply then
m = k*mass/ (8*d)2
m=k*mass/(64d2)
the mass decreas
 
 
Tags: Math, Algebra
Oracle
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posted by RPGillespie on 11/17/2007 8:33:00 PM  |  status: Live
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Response Details:
So, since the weight is inversely proportional, we know that as the distance goes up, the weight does down.

This means that weight would be:


If you multiply the distance by 8, the weight would be:

   ......................(answer)

The effect would be that your weight would be what it was before.
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