Two particles of mass M each are placed at the vertices of an equilateral triangle of side ‘a’, the gravitational force on the particle of mass ‘m’ placed at the third vertex is:
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a
3GMma2
b
3GM2a2
c
GMma2
d
2GMma2
answer is A.
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Detailed Solution
force of attraction between two masses=F1=F2=GMma2 ; θ=600 here universal gravitation constant=G; mass=m; distance=a The resultant force on ‘m’ is F=F12+F22+2F1F2cosθ from parallelogram law of addition of vectors F=F12+F22+2F12×12 F=3F1 F=3×GMma2=net force on mass m