# physics

posted by .

A small sperical insulator of mass 8.00X10^-2 kg and charge +0.600 mC is hung by a thin wire of negligible mass. A charge of -0.900 mC is held 0.150 m away from the spere and directly to the right of it, so the wire makes an angle [theta] with the vertical. Find (a) the angle [theta] and (b) the tension in the wire.

• physics -

Let T be the tension in the wire.
A vertical force balance of the insulator says:
T sin theta = M g
A horizontal force balance says :
T cos theta = k Q1*Q2/R^2
which is Coulomb's law. k is the Coulomb constant and Q1 and Q2 are the two charges.
Solve the two equations in the two unknowns, theta and T.

Hint: divide one equation by the other to get tan theta and eliminiate T.

## Similar Questions

1. ### physics!!!

A small spherical insulator of mass 8.00*10^-2kg and charge +6.00*10^-7C is hung by a thin wire of negligible mass. A charge of -9.00*10^-7C is held 0.450m away from the sphere and directly to the right of it, so the wire makes an …
2. ### physics!!!!!

A small spherical insulator of mass 8.00*10^-2kg and charge +6.00*10^-7C is hung by a thin wire of negligible mass. A charge of -9.00*10^-7C is held 0.450m away from the sphere and directly to the right of it, so the wire makes an …
3. ### physics im stuck

A small plastic ball of mass 6.10 10^-3 kg and charge +0.150 µC?
4. ### physics

A small spherical insulator of mass 1.90 10-2 kg and charge +0.600 µC is hung by a thin wire of negligible mass. A charge of −0.900 µC is held 0.150 m away from the sphere and directly to the right of it, so the wire makes …
5. ### physics

Consider a long charged straight wire that lies fixed and a particle of charge +2e and mass 6.70E-27 kg. When the particle is at a distance 1.31 cm from the wire it has a speed 2.30E+5 m/s, going away from the wire. When it is at a …
6. ### PHYSICS

5.00x 10^-2 mass with charge +0.75 micro coulombs is hung by a thin insulated thread. Charge of -0.9 micro coulombs is held .15meters directly to the right so that the thread makes an angle with the vertical. What is the angle and …