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Chapter 13: Q. 1 (page 353)

What is the ratio of the sun鈥檚 gravitational force on you to the
earth鈥檚 gravitational force on you?

Short Answer

Expert verified

Ratio sun's gravitational force on me to earth's gravitational force on me is

Fs/Fe=5.98 x 10-4

Step by step solution

01

Given information

Mass of earth: Me=5.97 x 1024 kg
Mass of sun: Me=1.98 x 1030 kg
Radius of earth: re}=6.37 x 106 m
Distance from sun to earth: rse=1.5 x 1011m

02

Explanation

We can calculate Gravitational force by

F=GMmr2

First find the gravitation force of Earth on you

Fe=GmMere2=Gm5.97脳1024kg6.37脳106m2............................(1)

now find Sun's gravitational force

FS=GmMsrse2=Gm1.98脳1030kg1.5脳1011m2.....................(2)

Now find the ratio

we get

FsFe=5.98脳10-4

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