Question

I need help!!

Write your solution on 1 side of 1 sheet of paper. List the values you had to look up (e.g. the mass of Earth). Take a clear picture of your solution and upload it here. See the attached rubric that I will use to grade your submission. · 1. How far apart do the Sun and Earth need to be from each other so that the force of gravity between them is 1000 N? Express your final answer in units of light years, to three significant figures. you will have to look up Newton's Law of Gravitation, masses, and conversion factors you need) Single Problem Criteria Ratings Pts Quality 5.0 pts of solution Includes all of 3.0 pts OK Two of 2.0 pts Meh 10pts Laaaame! Sad 4.0 pts 0.0 pts Perfect Score Pretty Good One of Three ofFour of Did not following: requirements for requirement for requirements requirements submit Detailed Solution, Perfect Score is Perfect Score are for Perfect for Perfect 5.0 pts (ii) Correct Answer, (i units & sig-figs, (iv) Submitted on time missing or Score are missing or incomplete MUST include incomplete. incomplete. some solution steps. Score are missing or missing or incomplete. MUST include some solution steps.

Answer 1

Given is:-

Force of gravity between the Sun and the Earth  

Given is: - Force of gravity between the Sun and the Earth F_g = 1000N Now, mass of the Sun M = 1.989 times 10^30 kg mass of the Earth m = 5.972 times 10^24 kg The gravitational force between two bodies is given by F_g = GMm/r^2 by plugging all the values we get 1000 = (6.67 times 10^-11)(1.989 times 10^30)(5.972 times 10^24)/r^2 which gives us r = 8.9 times 10^20 m we know that 1 Light-year = 9.461 times 10^15 m thus the distance between the Sun and the Earth will be r = 94073.07 Light-years

Now,

mass of the Sun  

mass of the Earth

The gravitational force between two bodies is given by

by plugging all the values we get

which gives us

we know that

thus

the distance between the Sun and the Earth will be