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

  1. May 28, 2008 #1
    [SOLVED] Quick question on universal gravitation - I think I'm right - need clarifica

    1. The problem statement, all variables and given/known data

    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.

    2. Relevant equations
    F=Gm1m2/d^2


    3. 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.
     
  2. jcsd
  3. May 28, 2008 #2

    Dick

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    Science Advisor
    Homework Helper

    That's exactly right.
     
  4. May 28, 2008 #3

    Doc Al

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    Staff: Mentor

    Looks good to me!
     
  5. May 28, 2008 #4
    Thanks, I got the problem right...if someone could lock this that would be nice.
     
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