Homework Help: PHYSICS/ GRAVITATIONAL CONSTANT

Posted by CJ on Friday, November 12, 2010 at 4:55pm.

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 - bobpursley, Friday, November 12, 2010 at 4:57pm
It is rather simple. Figure the two forces, and add as vectors.
PHYSICS/ GRAVITATIONAL CONSTANT - CJ, Friday, November 12, 2010 at 4:59pm
I DID THAT BUT THE ANSWER IS WRONG. IDON'T KNOW WHY
PHYSICS/ GRAVITATIONAL CONSTANT - bobpursley, Friday, November 12, 2010 at 5:16pm
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 - bobpursley, Friday, November 12, 2010 at 5:16pm
If you dont understand that shortcut,don't do it.

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