00:01
So here in the question we have given that an astronaut lands on a planet with the same mass as earth, but twice the radius.
00:08
What will be the acceleration due to gravity on this planet in terms of the acceleration due to gravity on earth? so here for this comparison we can use the law of gravitational and newton's second law.
00:24
So here, law of gravitation says that f is equals to g.
00:29
G, m1, m2, divided by r square.
00:35
Here g is universal gravitational constant, m1 is mass of first object, m2 is mass of second object, and r is distance between them.
00:45
And also, newton's second law is f is equals to m .a.
00:51
F is equals to m .a.
00:53
We know that the force due to gravity on the earth is equal to mg.
00:57
We can use this to set the two -force equation equal to one another.
01:04
So here this is g m multiply mass of earth divided by r -square is equal to m into g.
01:15
Here, m's notice that the mass cancel out from both sides.
01:20
From both sides we get, so we get g m e divided by r -square...