Physics Gravitation Gravitation Field, Force,Mass, Potential Energy and Escape Velocity MCQ (Single Correct)

The masses and radii of Earth and Moon are M 1 , R 1 and M 2 , R 2 respectively. Their centre are at a distance d apart. The minimum speed with which a particle of mass m should be projected from a point mid-way between the two centers so as to escape to infinity is:

A
B
C
D

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The correct answer is:
D

Total potential energy at mid point is

or – (M 1 + M 2 ) m

If v is required escape velocity, the

mv 2 = (M 1 + M 2 ) m

v =

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