Q.

Three identical point masses, each of mass 1 kg lie in the x-y plane at points (0, 0), (0, 0.2m) and (0.2m, 0). The net gravitational force on the mass at the origin is

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a

1.67×10−9(i^+j^)N

b

3.34×10−10(i^+j^)N

c

1.67×10−9(i^-j^)N

d

3.34×10−10(i^-j^)N

answer is A.

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Detailed Solution

Let particle A lies at origin, particles B and C on y and X-axis respectivelyF→AC=GmAmBrAB2i^=6.67×10−11×1×1(0.2)2i^=1.67×10−9i^NSimilarly F→AB=1.67×10−9j^N∴ Net force on Particle AF→=F→AC+F→AB=1.67×10−9(i^+j^)N
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Three identical point masses, each of mass 1 kg lie in the x-y plane at points (0, 0), (0, 0.2m) and (0.2m, 0). The net gravitational force on the mass at the origin is