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Four identical masses (each equal to m) are placed at corners of a square of side ‘a’ then calculate the force experienced on one of the mass due to other masses Answer is |F net | = Gm 2 /a 2 [1/2 + root2]

Four identical masses (each equal to m) are placed at corners of a square of side ‘a’ then calculate the force experienced on one of the mass due to other masses
Answer is |Fnet| = Gm2/a2 [1/2 + root2]

Grade:11

2 Answers

Arun
25750 Points
4 years ago
F (Net) = (4 x G x M x M1) / (r^2)
Since the given masses are ideal point masses and do not exhibit any electrical characters, we are free to use Newton’s Law of Gravity.
The force of attraction between the 4 bodies placed at the boundary and the lone mass placed at the centre can be given by the application of the following formula 4 times:
F = (G x M x M1) / (r^2)
Where, G is universal gravitational constant and r is the distance between the central mass and boundary mass.
Since each mass exerts the above force, the combined force felt by the central mass will be:
F(Net) = (4 x G x M x M1) / (r^2)
Vikas TU
14149 Points
4 years ago
Dear student 
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