Answer:
The Gravitational Acceleration of the Big planet is G = 3g
where G is the gravitational acceleration of the Big Planet and g is the gravitational acceleration of the Earth
So, it becomes G = 3 x 9.8
G = 29.4
Explanation:
Let's start by calculating the <u>Density of the Earth</u> of mass m anad Radius r
We know that mass is density times the volume
ρ =
m = ρV
we know the volume is V = (please ignore the symbol of Pi)
m = ρ
Calculating the <u>Density of Big Planet</u>
→For Big Planet we know that radius is 3-times the radius of Earth, that is 3r
M = ρ
So in conclusion, the mass of Earth and the mass of Big planet are related as M = 27m
Now let's come to the Gravitational Force, we know that gravitational force is directly proportional to the mass of the body and inversely proportional to the radius.
→Suppose for Earth: Mass = m, Radius = r
For Big Planet: Mass = M, Radius = R
: = g : G
=
G =
→ Putting the value of R = 3r and M = 27m
G =
By cutting the terms, we get
G = 3g
value of g= 9.8
G = 3 x
G = 29.4