1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about Gravitation

  1. Jul 7, 2016 #1
    1. The problem statement, all variables and given/known data
    Two bodies A and B having masses m and 2m respectively kept at a distance of d apart.
    A small particle is kept between A and B such that the net gravitational force on the particle
    is zero due to the bodies A and B . Its distance from mass A should be ?????

    2. Relevant equations


    3. The attempt at a solution
    x= distance of the particle from A
    Fx+(-Fd-x)=Gm1m2/x2-Gm1m2/(d-x)2
    after simplifying
    Gm1m2d2-2dxGm1m2/dx2+x4-2dx3
     
  2. jcsd
  3. Jul 7, 2016 #2
    Remember that object A has mass m and object B has mass 2m. Try simplifying again and be more clear with how you represent your fractions.
     
  4. Jul 7, 2016 #3
    "the net gravitational force on the particle is zero"

    Where did you use this fact? Where is 0 in your equation?
     
  5. Jul 12, 2016 #4
    assume the particle is of negligable mass, then the equation for gravitational acceleration is : g = (G * M) / d^2
    use substitution, call the distance from A = 1, then find the distance B
     
  6. Jul 12, 2016 #5

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Why? It does not matter what its mass is, the acceleration would be the same.
    Mr.maniac called it x, which seems even better.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted