Question

Acceleration
due to Gravity
Derine Mathematically and please do fast
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Answer 1

Explanation:

we know that force between two objects is given by the universal law of gravitation. So here one object is the stone and object is the earth.

F = GMmd2

M = mass of the earth

m = mass of the stone

d = distance

⇒ mg =  GMmd2, or

g =   GMd2

Suppose the object is on the surface of the earth or nearby.

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

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