What is acceleration due to gravity? Derive an expression for the acceleration due to gravity on the earth
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Answer:
Acceleration due to gravity is a vector, which means it has both a magnitude and a direction. 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 (32.1740 ft/s2).Anyway, since we already know that:
w=m×g (Newton's Second Law)
We know that w=GmEmR2E
Dividing the entire equation by m, we get:
wm=mgm
Which is equal to:
GmEmR2Em=g (Substituting the values)
And finally:
GmER2E=g
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Answer:
The acceleration produced in the motion of a body falling under the force of gravity is called acceleration due to gravity.
It is denoted by g.
g = GM / r²
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