Athin shell metallic sphere has a radius of 10.0 cm and mass of 34.4 grams. a charge of 100 nc is placed on the sphere. the sphere is placed in a vacuum chamber (so we can neglect air resistance). a) how long does it take the sphere to fall a distance of 1.0 m in the vacuum chamber if released from rest? b) an electric field is applied that cuts the time it takes the sphere to fall in half. what is the magnitude and direction of the electric field? c) an electric field is applied that causes the sphere to hover without moving after being released. what magnitude and direction electric field would cause this?