Share

## has 5 times the mass of the earth and also 5 times the radius. How does the gravitational acceleration on the surface of Driff compare to th

Question

has 5 times the mass of the earth and also 5 times the radius. How does the gravitational acceleration on the surface of Driff compare to the gravitational acceleration on the surface of the earth?

in progress
0

Physics
3 years
2021-08-24T02:08:10+00:00
2021-08-24T02:08:10+00:00 2 Answers
11 views
0
## Answers ( )

Answer:

The gravitational acceleration on earth is 5 times that on Driff.

Explanation:

The gravitational acceleration on earth is given as:

ge = Gm/r²

Where m = mass of earth, r = radius of earth.

The gravitational acceleration on Driff is given as:

gd = GM/R²

Where M = Mass of Driff, R = radius of Driff.

Since we’re told that M = 5m and R = 5r:

gd = G*5m/(5r)²

gd = Gm/5r²

Comparing this to the gravitational acceleration on earth:

ge : gd = Gm/r² : Gm/5r²

ge:gd = 5:1

The gravitational acceleration on earth is 5 times that on Driff.

Answer:The planet has one-fifth of the gravitational acceleration of the Earth.

Explanation:Newton’s law of gravitational attraction between two bodies of masses and separated by a distance

dgives(

Gis a universal constant)For any body of mass

mon the Earth surface,Here,

MandRare the mass and the radius of the Earth, respectively.But this force is the gravitational force on the body.

For a planet with 5 times the mass of Earth and 5 times its radius,

Hence the planet has one-fifth of the gravitational acceleration of the Earth.