Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

If there was no gravity, we could hold the Moon in orbit around the Earth by giv

ID: 2053425 • Letter: I

Question

If there was no gravity, we could hold the Moon in orbit around the Earth by giving the Earth a positive charge and the moon an equal but opposite (negative) charge. What would be the magnitude of the require charge? What would be the surface charge density of this charge at the Moon? What would be the electric field just above the Moon's surface along a line between the Earth and the Moon? What would be the voltage between the Earth and Moon? You may assume that the charges on both bodies are uniformly distributed over their surfaces.

Explanation / Answer

let charge =Q
radius moon=1740km
radius earth=6400km
surface charge density on moon=1= -Q/A1
surface charge density on earth= Q/A2

electric field just above the Moon's surface =1/(20)