How does the force of attraction between the two bodies depend upon their masses and distance between them ?

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asked Feb 7, 2018 in Class IX Science by aman28 (-881 points)
How does the force of attraction between the two bodies depend upon their masses and distance between them ? A student thought that two bricks tied together would fall faster than a single one under the action of gravity. Do you agree with his hypothesis or not ?

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answered Feb 7, 2018 by saurav24 Expert (1,431 points)

The force of attraction between two bodies of masses m, and m2 and separated by distance r is given by Newton’s universal law of gravitation .

(where M = Mass of the earth, Ft = Radius of the earth)
And from the equation it is clear that, acceleration due to gravity (i.e., g) depends only on mass of the earth, the radius of the earth. So, two bricks tied together will not fall faster than a single bricks under the action of gravity. Hence, the hypothesis is not correct.

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