Two small identical conducting spheres are placed with their centers 0.32 m apart. one is given a charge of 12 ✕ 10−9 c, the other a charge of −17 ✕ 10−9 c. (a) find the electrostatic force exerted on one sphere by the other. magnitude n direction (b) the spheres are connected by a conducting wire. find the electrostatic force between the two after equilibrium is reached, where both spheres have the same charge. magnitude n direction

(a) -1.79 x 10⁻⁵ N

(b) 5.49 x 10⁻⁷ N

Explanation:

given information:

r = 0.32 m

q₁ = 12 x 10⁻⁹ C

q₂ = -17 x 10⁻⁹ C

(a) Find the electrostatic force exerted on one sphere by the other. magnitude N direction

F = k q₁q₂/r²

   = (9 x 10⁹) (12 x 10⁻⁹) (-17 x 10⁻⁹) / (0.32)²

   = -1.79 x 10⁻⁵ N

(b) The spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is reached, where both spheres have the same charge. magnitude N direction

F = kQ²/r²,

where

Q = (q₁+q₂/2)

   = (12+(-17)) x 10⁻⁹/2

   = 2.5 x 10⁻⁹ C

thus,

F = (9 x 10⁹) (2.5 x 10⁻⁹)²/(0.32)²

   = 5.49 x 10⁻⁷ N

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​