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?
Answers
Explanation:
Solution
q
′
=
R
2
GM
=
(4ve)
2
G×2me
=
8
1
ve
2
Gme
=
8
g
To find 4 times the acceleration due to gravity =4×
8
1
g=
2
g
=
2
10
=5m/s
2
Hence, the answer is 5m/s
2
.
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