Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in the figure below. Assume the dome has a diameter of 34.5 cm and is surrounded by dry air with a "breakdown" electric field of 4.20*10 6 V/m.
(a) What is the maximum potential of the dome? =..kV
(b) What is the maximum charge on the dome?..μC

a) Maximum potential of the dome = 724.5kV

b) Maximum charge on the dome = 13.9 micro Coulomb

Explanation:

Diameter of the dome = 34.5 cm =34.5/100 = 0.345 m

Radius of the dome = Diameter/2 = 0.345/2 = 0.1725 m

Electric field strength, E = 4.20 * 10⁶V/m

a) Maximum potential of the dome, V = E*r

V =  4.20 * 10⁶ * 0.1725

V = 724500 Volts = 724.5kV

b) Maximum charge on the dome

V = kQ/r

Q = Vr/k

Q = (724500 * 0.1725)/(9*10⁹)

Q = 1.39 * 10⁻⁵C

Q = 13.9 micro Coulomb

Explanation:

Below is an attachment containing the solution

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.

it would be c. predictability