Two spheres of masses `m and 2m` are separated by distance `d`. A particle of mass `(m)/(5)` is projected straight from `2m` towards `m` with a velocity `v_(0)`. Which of the following statements is correct ?

Options

A. Velocity of the particle decreases constantly
B. Velocity of the particle increase constantly
C. Acceleration of the particle may become momentarily zero
D. The particle never retraces its path

Answer

C

Explanation

Acceleration between them is zero, where force between `2m and (m)/(5)` is equal to the force between `m and (m)/(5)` or the net force on `(m)/(5)` is zero. Suppose this point is P. Now if velocity `v_(0)` is less than value necessary to cross point P, it will retrace its path otherwise not.