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College level physics help

  1. Sep 22, 2013 #1
    1. The problem statement, all variables and given/known data

    Image attached. This figure shows the force on a 0.1-kilogram mass at various distances from Earth. Notice that the force decreases as the square of the distance. Now, consider satellites A and B, both circling Earth. If A has ten times the mass of B but B is 1/10 of the distance to the center of Earth as is A, what is the gravitational force on A relative to that of B due to Earth?
    1/100 times as much
    100 times as much
    1/10 the amount
    10 times as much
    the two are equal


    2. Relevant equations
    G=m_1*m_2/ r^2



    3. The attempt at a solution
    I used my textbook and numerous notes and could not figure out a wAy to attempt this problem. Any pointers would be great.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 22, 2013 #2
    The relevant equation is not $$ G = \frac {m_1 m_2} {r^2} $$ It is $$ F = G \frac {m_1 m_2} {r^2} $$

    Now, let ## M ## be the mass of the Earth, ## m_A ## be the mass of A, ## m_B ## the mass of B, ##r_A## and ##r_B## the distances from the Earth to A and B, respectively. What is ##F_A## and ##F_B##? What is ##F_A/F_B##?
     
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