Two spheres have the same mass m. They both carry positive charges. One sphere i

Question

Two spheres have the same mass m. They both carry positive charges. One sphere is attached to a string. (See the ?gure below.) Suppose the electric force on the right sphere is horizontal, draw a FBD of this sphere (drawn below as well...I think its correct). If the right sphere is in static equilibrium, ?nd an expression for the magnitude of the electric force Fe on it in terms of m and the angle ?. (Do not use Coulomb

Two spheres have the same mass m. They both carry positive charges. One sphere is attached to a string. (See the ?gure below.) Suppose the electric force on the right sphere is horizontal, draw a FBD of this sphere (drawn below as well...I think its correct). If the right sphere is in static equilibrium, ?nd an expression for the magnitude of the electric force Fe on it in terms of m and the angle ?. (Do not use Coulomb as law.) ***The above picture is the given diagram. The second is my FBD for the sphere on the right. I am just not sure how to find the expression for the magnitude of electric force in terms of m(ass) and the angle. Please help!

Explanation / Answer

Here ,

for balacning the vertical forces

T*cos(theta) = mg ---(1)

and

T*sin(theta) = Fe ----(2)

dividing 1 by 2

sin(theta)/cos(theta) = Fe/mg

Fe = mg*tan(theta)

the force Fe is (mg*tan(theta))

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