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
12 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 d gives
For any body of mass m on the Earth surface,
Here, M and R are 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.