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Quick question on universal gravitation - I think I'm right - need clarifica

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[SOLVED] Quick question on universal gravitation - I think I'm right - need clarifica

Homework Statement



What would happen to the weight of an object if its mass was doubled while its distance from the center of the Earth was also doubled?
a) The weight would double.
b) The weight would be quadrupled.
c) The weight would be cut in half.
d) The weight would be unchanged.

Homework Equations


F=Gm1m2/d^2


The Attempt at a Solution



F_new=2(Gm1m2)/(2^2)r^2
F_new=2/4=1/2

Therefore, the weight would be halved. (C)

Am I right in how I figured this out? I only have one chance to get this problem right, so I wanted to make sure the way I'm doing this is correct.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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That's exactly right.
 
  • #3
Doc Al
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Looks good to me!
 
  • #4
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Thanks, I got the problem right...if someone could lock this that would be nice.
 

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