How can you show the the ratio of masses of two planets through calculation
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All objects move with the same acceleration near the earth's surface. This acceleration is called the acceleration due to gravity and as a magnitude denoted by "g".
By the help of this formula we can show the the ratio of masses of two planets through calculation:
g = GM /r^2
Where,
M = mass of the earth
r = radius of the earth
For example: If one of the second planet has a radius two times greater than the first planet, the acceleration due to gravity is calculated by this formula :
Let the radius of the first planet be R and, the radius of the second planet be 2R.
By using this formula,
g = GM /r^2
g1 = GM /R^2. --------------------------(equation 1)
g2 = GM /2R^2
--------------------------(equation 2)
Equating (1) and (2), we get
g1 / g2 = GM /R^2 / GM /2R^2 = 4/1
g1 : g2 => 4 : 1
All objects move with the same acceleration near the earth's surface. This acceleration is called the acceleration due to gravity and as a magnitude denoted by "g".
By the help of this formula we can show the the ratio of masses of two planets through calculation:
g = GM /r^2
Where,
M = mass of the earth
r = radius of the earth
For example: If one of the second planet has a radius two times greater than the first planet, the acceleration due to gravity is calculated by this formula :
Let the radius of the first planet be R and, the radius of the second planet be 2R.
By using this formula,
g = GM /r^2
g1 = GM /R^2. --------------------------(equation 1)
g2 = GM /2R^2
--------------------------(equation 2)
Equating (1) and (2), we get
g1 / g2 = GM /R^2 / GM /2R^2 = 4/1
g1 : g2 => 4 : 1
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