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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 Newtons 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.
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Answer #1

Given is:-

Force of gravity between the Sun and the Earth  Р, 1000

Now,

mass of the Sun  M = 1.989 imes 10^{30}kg

mass of the Earth m = 5.972 imes 10^{24}kg

The gravitational force between two bodies is given by

GMm

by plugging all the values we get

(6.67х 10-11)(1.989 1030)(5.972 1024) 1000

which gives us

r-8.9 × 1020771

we know that

15 Light-year= 9.461 × 10m

thus

the distance between the Sun and the Earth will be

r = 94073.07 Light-years

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