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2 answers:
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Answer:
a) The net electric force on the middle sphere due to spheres 1 and 3 is 404N. b) The direction of the net electric force is to the left.
Explanation:
In order to solve this problem, we must first draw our free body diagram (See attached picture).
By definition, two opposite charges attract each other, so the force due to sphere 1 will go to the left (being the left direction negative) and the force due to sphere 3 will go to the right (being the right direction positive).
Knowing this we can use the electric force formula to calculate each of the forces:
where =
So knowing this, we can now calculate each force. Let's start with the force exerted by sphere 1 over sphere 2:
Which gives me a force of:
In this case the force will be negative because it's directed towards sphere 1, this is to the left.
We can do the same with the force due to sphere 3:
Which gives me a force of:
In this case the force is positive because it's directed towards sphere 3, this is it goes to the right.
With these two values I can now find the net force electric force on the middle sphere due to spheres 1 and 3.
∑F
a) Since part a of the problem only asks us for the magnitude, then the net electric force on the middle sphere due to spheres 1 and 3 is 404.39N
b) since the answer when solving this problem was negative, this means that the force will be directed towards sphere 1, this is to the left.
