Resultant gravitational force

  • #1
chocolatelover
239
0
Hi everyone,

Could someone please help me with this problem?
Homework Statement
Three uniform spheres of mass m1=2.00kg, 4.00kg, and m2=5.50 kg are placed at the corners of a right triangle. Calculate the resultant gravitational force on the 4.00 kg object, assuming the spheres are isolated from the rest of the Universe.

Homework Equations


Fg=m1m2/r^2


The Attempt at a Solution



F32=-6.67X10^-11Nm^2/kg(5.5kg)(4kg)/4^2= -9.2 X 10^-11i

F13= -6.67X10^-11Nm^2/kg^2(4)(2)/3^2= 5.9X10^-11j

Thank you very much
 

Answers and Replies

  • #2
Doc Al
Mentor
45,463
1,954
Please describe--even better, provide a diagram of--the triangle and its dimensions and the relative locations of the masses.

Recall that forces are vectors. You find the resultant by adding up the individual force vectors (add them like vectors, not plain numbers).
 
  • #3
chocolatelover
239
0
Thank you

The triangle is placed in the second quadrent, where m3 is at (0,0) m2 is at (-4,0)m and m1 is at (0,3)

Does this look correct?
F32=-6.67X10^-11Nm^2/kg(5.5kg)(4kg)/4^2= -9.2 X 10^-11i

F13= -6.67X10^-11Nm^2/kg^2(4)(2)/3^2= 5.9X10^-11j

Thank you
 
  • #4
Doc Al
Mentor
45,463
1,954
I didn't check your arithmetic, but your setup looks good. Now find the magnitude of the resultant force.
 
  • #5
chocolatelover
239
0
Thank you

I just need it in terms of i and j. So, wouldn't that be correct the way it is? F32 is negative and F13 is positive, right?

Thank you
 
  • #6
Doc Al
Mentor
45,463
1,954
The signs of your final answers are correct. But I don't know what you mean by F32 (versus F23). Is that the force on 3 from 2? Realize that you want the force on mass 3, and that F32 = -F23. (Just be consistent.)
 
  • #7
chocolatelover
239
0
Thank you very much

Regards
 

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