Acceleration due to gravity – problems and solutions
The formula of Newton’s second law of motion :
The formula of Newton’s law of universal gravitation :
G = universal constant, M = Earth’s mass, m = object’s mass, r = the distance between Earth’s center and object. If the object is at Earth’s surface, r = Earth’s radius
Substitute F in equation 1 with F in equation 2 :
What is the acceleration due to gravity at the Moon’s surface?
2. Acceleration due to gravity at Earth’s surface is g. At R (R is Earth’s surface), the acceleration due to gravity is…
R = Earth’s radius. At R above Earth’s surface = at 2R above Earth’s center.
At R above Earth’s surface, the acceleration due to gravity = ¼ g. If g = 9.8 m/s2, at R above Earth’s surface, acceleration due to gravity = 2.45 m/s2.
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