Find the Net Force on Ball A from Balls B & C

AI Thread Summary
To find the net force on Ball A from Balls B and C, the gravitational forces exerted by each ball must be calculated using the formula F=Gm1m2/r^2. The force exerted by Ball B on A is 3.75e-7 N, while the force from Ball C is 6.003e-7 N. Since Ball C is to the left and Ball B is to the right of Ball A, the net force is determined by adding the forces, taking into account their directions. The ambiguity in the problem's description regarding the positions of the balls led to some confusion in calculating the net force. Ultimately, the net force on Ball A is the sum of the forces from both Balls B and C.
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Homework Statement


Each ball weighs 3.00 kg A is 10cm from C to the left and B is 40cm to the right of A


Homework Equations



F=Gm1m2/r^2

The Attempt at a Solution



ive tried adding the forces that each ball apply to A and subtracting it. i know each has its own force acting on A but don't know how to figure it out with 3 objects
 
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Force is a vector. You have two force acting in opposite directions on ball A. How would you work out the net force then?
 
Well you already know that each force is acting in the x direction and with gravity the farther away the less the gravitational force so wouldn't you just have to subtract the sum of each force?
 
F=6.67e-11 (3kg) (3kg))/.04^2 i calculated that for the force of B on A and i got 3.75e-7N

for force of C on A i got 6.003e-7N. Now each of these balls is exerting its own force on A but one is stronger than the other because of the distance so isn't the net force just calculated by the difference?
 
If you have to calculate the net force on A then both balls B and C are to the right of it and the forces will add. I was a bit unsure which ball you were wanting to calculate the net force on. The description of the system was a bit ambiguous as well.
 
In the picture given to me Ball C is to the left of A and ball B is to the right they are on different sides sorry if the description was hazy.
 
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