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 10m/s?​

Answer 1

hey mate

here ur 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

easy pisy lemon creezy