The dome of a Van de Graaff generator has a radius of 0.10 m. An electron in a hydrogen atom is located at a distance 0.20 m from the center of the dome. Determine the magnitude of the positive charge needed on the dome to exert a force on the electron that is equal to the force exerted by the atom's nucleus on the electron.

(8%) problem 12. a bowling ball of mass mb 3 kg 's rolled down the lane with a velocity ofy-2/ m s lt strikes a single remaining pin mp 0.93 kg head on. after the collision the bowling ball has a velocity (in the same direction) of v2 1.1 m/s. = ▲ 33% part (a) write an expression for the velocity of pin in the horizontal direction after the impact, im ,, 33% part (b) what is the pins speed in ms? 33% part (c) assuming the coefficient of friction s μ,-0.1. how far in meters could the pin slide before stopping if it doesn't topple?