How to question what are the difference between universal gravitational constant and acceleration due to gravity answer
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Universal gravitational constant(G): All the objects that exist in the universe attract other objects. The attractive force that exists between any two objects(say A and B, as in the picture below) is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centre (centre of gravity or centroid). The value of G was obtained by the sensitive balance in the laboratory, firstly by Cavendish.
Acceleration due to gravity(g): Whenever we drop something we observe the thing falls towards the centre of the earth. The force that enables this movement is indeed the one that’s shown above. Here, object A(say), having mass M, is the earth and object B, having mass m, is the body is dropped. From Newton’s second law of motion, it can be written,
Force = Mass X Acceleration,
now the force(F) on body B that’s dropped is
F = m X a,
where say ‘a’ is the acceleration with which it’s falling,
when we equate these two forces we get, (if the body B is near the surface of the earth, the distance can be considered equal to the radius of the earth i.e. R)
hope it will help!!!
Acceleration due to gravity(g): Whenever we drop something we observe the thing falls towards the centre of the earth. The force that enables this movement is indeed the one that’s shown above. Here, object A(say), having mass M, is the earth and object B, having mass m, is the body is dropped. From Newton’s second law of motion, it can be written,
Force = Mass X Acceleration,
now the force(F) on body B that’s dropped is
F = m X a,
where say ‘a’ is the acceleration with which it’s falling,
when we equate these two forces we get, (if the body B is near the surface of the earth, the distance can be considered equal to the radius of the earth i.e. R)
hope it will help!!!
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