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Particles of masses 2M, m and M are respectively at points A, B, and C with AB=\frac{1}{2}(BC).. M is much-much smaller than M and at time t=0, they are all at rest. At subsequent times before any collision takes place.

a) m will remain at rest

b) m will move towards M

c) m will move towards 2M

d) m will have oscillatory motion

Answers (1)

The answer is the option (c) m will move towards 2M.

Let F_{BC} be the force experienced by m at point B due to M at point C and F_{BA}  be force experienced by m at point  due to 2 M at point A

F_{Bc}=\frac{GmM}{Bc^{2}}

F_{AB}=\frac{Gm2M}{AB^{2}}

If AB=x then BC=2x

BC^{2}>AB^{2}

F_{BA}>F_{BC}

Thus, m will move towards point A.

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