Question

23. A spacecraft is in orbit around the Earth, where if feels a gravitational force of magnitude F. At that moment, it is located a distance L away from the center of the Earth. Later, the spacecraft leaves orbit and travels away from the Earth to visit an asteroid which is passing by. When it reaches the asteroid, it is a distance 40L away from the center of the Earth. What is the force of gravity on the spacecraft from the Earth at that point? A) 0 B) 40F C) 1600F D) F/40 E) F/1600

Answer 1

Earth Spacecraft Ceuke and -distance been - Corbit ). in rinn GOL- distance beth Fash I ... (space-craft) --> ļ (space-creft] (fig-I) (fig-2) We know that, Newton's law of gravitlicy states that every pastile [spacecraft and Earth ] attracts every other particle in the universe with a tone which is directly proportioned to the product of their masses and inversely proportional to the square of the distance bern their Cennes. Fa m.me F = 9. minna granitaches al F m , = Space craft me Consted mass for r= L l for r2 = 404 F = G. mi.me = a.m. m2 (4022 - Answer on Compartiny egr 0, - a mi me 16oo. L2 isoo (F 72 m₂ = earth - mass ) loption & E E ® 1600