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The gravitational force between two objects is proportional to the product of th

ID: 1357726 • Letter: T

Question

The gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance separating them. That is, if masses m1 and m2 are separated by a distance r, then the gravitational force between them is given by F=Gm1M2/r^2, where G is a constant.
Find the gravitational force between two thin uniform rods with masses m1 and m2 and lengths L1 and L2 if the rods lie on the same line and are separated by a distance A.

Please provide a step by step solution. Thank you very much for your help.

The gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance separating them. That is, if masses m1 and m2 are separated by a distance r, then the gravitational force between them is given by F=Gm1M2/r^2, where G is a constant.
Find the gravitational force between two thin uniform rods with masses m1 and m2 and lengths L1 and L2 if the rods lie on the same line and are separated by a distance A.

Please provide a step by step solution. Thank you very much for your help.


Find the gravitational force between two thin uniform rods with masses m1 and m2 and lengths L1 and L2 if the rods lie on the same line and are separated by a distance A.

Please provide a step by step solution. Thank you very much for your help.

Explanation / Answer

here,

mass of the roads are m1 and m2

distance between the rods is A

distance between the centre of mass , d = A - (L1 + L2)/2

the gravitational force , F = G*m1*m2/d^2

F = G*m1*m2/( A - (L1 + L2)/2)^2

the gravitational force between the rods is G*m1*m2/( A - (L1 + L2)/2)^2

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