Question

Two spheres of masses m and 2 m are separated by distance d. A particle of mass $\frac{m}{5}$ is projected straight from 2 m towards m with a velocity v_o. Which of the following statements is correct?

Easy

Solution

Acceleration between them is zero, where force between 2m and $\frac{m}{5}$ is equal to the force between m and $\frac{m}{5}$ or the net force on $\frac{m}{5}$ is zero. Suppose this point is P. Now, if velocity v_o is less than the value necessary to cross point P, it will retrace its path otherwise not.

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