A planet 'x' has mass 2 times and radius 3 times than that of Earth. What is the acceleration due to gravity on the planet,if acceleration due to gravity on Earth is 10m/s?
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Answers
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Question :-
A planet 'x' has mass 2 times and radius 3 times than that of Earth. What is the acceleration due to gravity on the planet,if acceleration due to gravity on Earth is 10 m/s² ?
Answer :-
Step by step Explanation :-
Let for Earth ;
Mass = M
Radius = R
Now let for planet 'x' ;
Mass = M'
Radius = R'
As per the question :-
✧ Mass of planet 'x' is two times the mass of earth ;
✧ Radius of planet 'x' is three times the radius of earth ;
❒ We know that acceleration due to gravity is :-
where,
G = Universal gravitational constant
M = Mass of planet
R = Radius of planet
Therefore for Earth ;
and Given in question acceleration due to gravity on Earth is 10 m/s²,
Now for planet 'x' ;
Acceleration due to gravity is :
⏩ Putting values of M' and R' from (1) and (2) :
⏩ Using (3) :
Therefore acceleration due to gravity on the planet 'x' is