differentiate between universal gravitational constant and acceleration due to gravity
any 3 points
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*Universal gravitational constant(G) and acceleration due to gravity(g) are two different things having different meaning, units, values and uses(the only similarity can be that both are related to Gravitation). G is a constant, the value of which was obtained by Henry Cavendish, whereas g is an acceleration that is involved whenever an object is falling or ascending in the earth’s atmosphere. Moreover, what G and g are and how these value are obtained can be understood as :
*Universal gravitational constant(G) : All the objects that exist in universe attract other objects. The attractive force that exists between any two objects(say A and B, as in picture below) is directly proportional to the product of their masses and inversely proportional to the square of distance between their center(center of gravity or centroid). The value of G was obtained by sensitive balance in laboratory, firstly by Cavendish.
*Acceleration due to gravity(g) : Whenever we drop something we observe the thing falls towards the center 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 being dropped. From Newton’s second law of motion it can be written,
Force = Mass ×Acceleration,
now the force(F) on body B that’s dropped is
F = m × 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, then distance can be considered equal to radius of the earth i.e. R)
so, the acceleration a here is nothing but the acceleration due to gravity i.e. g.
*Universal gravitational constant(G) and acceleration due to gravity(g) are two different things having different meaning, units, values and uses(the only similarity can be that both are related to Gravitation). G is a constant, the value of which was obtained by Henry Cavendish, whereas g is an acceleration that is involved whenever an object is falling or ascending in the earth’s atmosphere. Moreover, what G and g are and how these value are obtained can be understood as :
*Universal gravitational constant(G) : All the objects that exist in universe attract other objects. The attractive force that exists between any two objects(say A and B, as in picture below) is directly proportional to the product of their masses and inversely proportional to the square of distance between their center(center of gravity or centroid). The value of G was obtained by sensitive balance in laboratory, firstly by Cavendish.
*Acceleration due to gravity(g) : Whenever we drop something we observe the thing falls towards the center 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 being dropped. From Newton’s second law of motion it can be written,
Force = Mass ×Acceleration,
now the force(F) on body B that’s dropped is
F = m × 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, then distance can be considered equal to radius of the earth i.e. R)
so, the acceleration a here is nothing but the acceleration due to gravity i.e. g.
pranshu81:
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the universal law of gravity is denote by G and the acceleration due to gravity is denoted by g
the vale of G is constant everywhere while the value of g is not constant everywhere
the value of G is 6.67×10^-11×nm²/kg²
g is 9.8m/s²
G is the attraction force between the two object while g is the attraction force between the earth and the object
the vale of G is constant everywhere while the value of g is not constant everywhere
the value of G is 6.67×10^-11×nm²/kg²
g is 9.8m/s²
G is the attraction force between the two object while g is the attraction force between the earth and the object
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