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Newton’s law of gravitation: Every particle of matter in the universe attracts every other particle with a force which is directly proportion to the product of their masses and inversely proportional to the square of the distance between them.

Let us consider two bodies of masses m1 and m2 with their centers separated by a distance of r. F is the force (in magnitude) of gravitational attraction between two bodies. According to Newton’s law of gravitation,

F  m1m2 and F  1/d2 so, F  m1m2/d2 or, F = Gm1m2/d2 

where G is the universal constant of gravitation.

G = 6.67 10-8dyne cm2g-2  (C.G.S.) or, G = 6.67 10-11Nm2kg-2.

Dimension of G = [F][r2]/[ m1m2]=[M-1L3T-2]

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Content Description

Newton’s law of gravitation: Every particle of matter in the universe attracts every other particle with a force which is directly proportion to the product of their masses and inversely proportional to the square of the distance between them.

Let us consider two bodies of masses m1 and m2 with their centers separated by a distance of r. F is the force (in magnitude) of gravitational attraction between two bodies. According to Newton’s law of gravitation,

F  m1m2 and F  1/d2 so, F  m1m2/d2 or, F = Gm1m2/d2 

where G is the universal constant of gravitation.

G = 6.67 10-8dyne cm2g-2  (C.G.S.) or, G = 6.67 10-11Nm2kg-2.

 

Dimension of G = [F][r2]/[ m1m2]=[M-1L3T-2]

Solution

Properties of gravitational force: 1) The gravitational force between two bodies constitutes an action and reaction force. I.e. forces are equal and opposite direction. 2) The gravitational force between two bodies does not depend on the intervening medium. 3) The gravitational force between two bodies does not depend on the presence or absence of other bodies. 4) The gravitational force is extremely small in the case of light bodies and it can be appreciable in case of massive bodies. 5) The gravitational force is conservative force. i.e. the work done by this force does not depends on the path between the initial and final position. 6) The gravitational force is a central force. It acts along the line joining the joining the centers of the bodies. Weight: Weight of the body is defined as the force with which a body is attracted towards the centre of earth. Force of gravity: If the force of attraction between a body and earth, then the force of attraction is called force of gravity.
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