Posted by **Alex** on Saturday, May 3, 2008 at 10:37pm.

Neutral metal sphere A, of mass 0.10kg, hangs from an insulating wire 2.0m long. An identical metal sphere B, with charge -q is brought into contact with sphere A. Sphere A goes 12 degrees away from Sphere B. Calculate the initial charge on Sphere B.

Note: when one object with charge Q is brought in contact with a neutral object 1/2 the charge is transferred to the neutral object.

I don't understand how to do this.

Ans: 3.9x10^-6C

- Physics -
**drwls**, Sunday, May 4, 2008 at 5:38am
After the spheres touch, each one acquires a charge of -q/2, and the Coulomb repulsion force pushes them away from each other. If each one hangs inclined A = 12 degrees, and T is the tension in the wire,

T cos A = M g

T sin A = k (Q/2)^2/(2L sinA)^2

k is the Coulomb constant, 8.99 x 10^9 N•m^2/C^2

2L sin A is the separation of the spheres

T can be eliminated by dividind one equation by the other

tan A = k (Q/2)^2/(2L sinA)^2/(Mg)

M g tan A = k Q^2/(16 L sin A)^2

This should let you solve for Q

## Answer This Question

## Related Questions

- Physics repost - Neutral metal sphere A, of mass 0.10kg, hangs from an ...
- Physics - Neutral metal sphere A, of mass 0.10kg, hangs from an insulating wire ...
- Physics - Original Question: Neutral metal sphere A, of mass 0.10kg, hangs from ...
- Physics - Original Question: Neutral metal sphere A, of mass 0.10kg, hangs from ...
- College Physics - Metal sphere 1 has a positive charge of 7.00nC . Metal sphere ...
- College Physics II - Identical isolated conducting spheres 1 and 2 have equal ...
- physics - consider three identical metal spheres a b and c. sphere a carries a ...
- Physics - Consider three identical metal spheres, A, B, and C. Sphere A carries ...
- physics - Consider three identical metal spheres, A, B, and C. Sphere A carries ...
- physics - Consider three identical metal spheres, A, B, and C. Sphere A carries ...

More Related Questions