Question

state and derive acceleration due to gravity (g)​

Answer 1

Answer:

Formula of Acceleration due to Gravity

f = force between two bodies, G = universal gravitational constant (6.67×10-11 Nm2/kg2) m = mass of the object, ... h = height at which the body is from the surface of the earth.

Formula: g = GM/r2

Values of g in SI: 9.806 ms-2

Dimensional Formula: M0L1T-2

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Answer 2

Answer:

The acceleration produced in a freely falling body by the gravitational pull of the earth is called the acceleration due to gravitation.

We know that,

Force = Mass × Acceleration

F=m×a

a=

m

F

…..1

Where F is the force on the object of mass m dropped from a distance r from the centre of earth of mass M.

So, force exerted by the earth on the object is

F=G

r

2

M×m

...2

M = Mass of Earth

m = mass of object

r = distance of object from centre of earth

Now, from equation 1 and 2,

a=G

r

2

×m

M×m

a=G

r

2

M

Now, from above,

a=g= Acceleration due to gravity

We also see that, although force is depending on the mass of the object,

F=G

r

2

M×m

But acceleration due to gravity is independent of the mass.

g=G

r

2

M

Explanation:

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