The sun has a mass 333,000 times that of the earth. For a person on earth, the average distance to t

Landon Mckinney

Landon Mckinney

Answered question

2022-05-08

The sun has a mass 333,000 times that of the earth. For a person on earth, the average distance to the center of the sun is 23,500 times the distance to the center of the earth. In magnitude, what is the ratio of the sun's gravitational force on you to the earth's gravitational force on you?

Answer & Explanation

jcholewa39v8f

jcholewa39v8f

Beginner2022-05-09Added 13 answers

Step 1
Gravitational force between two objects of mass m 1 and m 2 is,
F = G m 1 m 2 d 2
Here, G is gravitational constant and d is distance between objects.
Assume mass of earth is m e
Mass of sum will be m s = 333 , 000 m e
Assume Distance between centre of earth and person on earth is d e
Distance between centre of sun and person is d s = 23 , 500 d e
Assume Mass of person is m.
Step 2
Substitute the given value to find the gravitational force ratio on a person by sun to earth.
F s F e = G m s m d s 2 G m e m d e 2 = G × 333000 m e m ( 23500 d e ) 2 G m e m d e 2 = 333000 ( 23500 ) 2 = 0.0006
Step 3
Ratio of sun gravitational force on a person to earth gravitational force on person is 0.0006.

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