Question

why acceleration due to gravity is changable on earth?​

Answer 1

Answer:

When the object falls towards the earth due to the earth’s gravitational force, it something we call as free fall of the object. So during the free fall, the only force acting on the object is the gravitational force of the earth. The acceleration due to gravity is the acceleration produced in the freely falling body due to the influence of the gravitational pull of the earth.

Acceleration due to Gravity

Acceleration due to gravity is denoted by ‘ g ‘ but its values vary. Like, for example, the acceleration due to gravity on the moon is different from that of the earth.

Explanation:

F = GMmd2

M = mass of the earth

m = mass of the stone

d = distance

⇒ mg = GMmd2, or

g = GMd2

Now, in this case, d = R+ h

So, g = GM(R+h)2

Let us calculate the value of g on the earth, i.e h=0. As we know the value of g,

g = GMR2

G = 6.7 × 10-11 Nm²/kg²

M = 6 × 1024 kg

R = 6.4 × 106 m

So putting these values we will get the value of acceleration due to gravity.

g = 6.7×1011×6×1024(6.4×106)2

g = 9.8 m/s²

This is the value of acceleration due to gravity