write short note on acceleration due to gravity
Answers
Answer:
The acceleration which is gained by an object because of gravitational force is called its acceleration due to gravity. Its SI unit is m/s2 . ... The acceleration due to gravity at the surface of Earth is represented by the letter g. It has a standard value defined as 9.80665 m/s2.
Answer:
g =
acceleration due to gravity is the acceleration gained by the body when earth pushes that body towards itself
Explanation:
we know
Newton's Second Law of Motion states that an object is accelerated whenever a net external force acts on it and the net force equals the mass of the object times its acceleration.
Mathematically this is given as
F= ma. equation 1
where f= force applied
m= mass of the body
a = acceleration gained by the body when force was applied
we know ,according to universal law of gravity
F = GMm/R^2. equation no 2
now from 1 we have
a = F/m. equation 3
now putting the value of F in equation 3 we get,
GMm/mR^2 = a
so, g = GM/R^2. ( a = g)
now we can see that acceleration due to gravity is independent of the mass of the body but depends upon earth's mass and the reason behind it is that according to Newton's first law
every body in the universe resists change in its state of motion or rest ( that is law of inertia) so however there will be more force applied on heavy bodies by the earth but this will be cancelled because heavy bodies will provide more resistant.
one more very important thing g varies from 9.78 m/s2 to 9.83 m/s2, depending on latitude, altitude, underlying geological formations, and local topography, the average value of 9.80 m/s2 will be used unless otherwise specified in the by the questioner .