PHYSICS/ GRAVITATIONAL CONSTANT

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Three masses are arranged in the (x,y) plane. The X and Y units are meters
4kg at (-1,5
3kg at (1,1)
5kg at (0,0)
What is the magnitude of theresulting force on the 5kg mass at the origin? The universal gravitational constant is 6.673e-11 N*m^2/kg^2. Answer in units of N.

  • PHYSICS/ GRAVITATIONAL CONSTANT -

    It is rather simple. Figure the two forces, and add as vectors.

  • PHYSICS/ GRAVITATIONAL CONSTANT -

    I DID THAT BUT THE ANSWER IS WRONG. IDON'T KNOW WHY

  • PHYSICS/ GRAVITATIONAL CONSTANT -

    Let me show you a shortcut:

    fx= G5(4/1^1)(-1)+G5(3/1)(+1) That is the resultant fx
    Fy=G5(5/5^2)(+1)+G5(3/1)(+1) that is the resultant fy

    fx=G5(-1)
    fy=G5(1/5+3)=G5(15/5)=5G*3

    magnitude= 5G*sqrt(1+9)=5Gsqrt10

  • PHYSICS/ GRAVITATIONAL CONSTANT -

    If you don't understand that shortcut,don't do it.

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