derive the formula for acceleration due to gravity , also write g of different celestial bodies
Who ever answer correct they will get mark as brainly
Answers
Answer:
Explanation:
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= F/M
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( M×m)/(r)^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(M×m)/(r)^2* m
a=G M/(r)^2
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*M×m/(r)^2
But acceleration due to gravity is independent of the mass.
g=G*M/(r)^2
g for different celestial body
Earth 9.8
Mercury 3.61
Venus 8.83
Mars 3.75
Jupiter 26.0
Saturn 11.2
Uranus 10.5
Neptune 13.3
Pluto 0.61
moon 1.625