Question

A particle of mass m is released from rest a distance b from a fixed origin of force that attracts the particle according to the inverse square law F(x)=-kx^{-2}. The time required for the particle to reach the origin is given by $\frac{ab}{k}(\frac{m}{b})^{\frac{1}{2}}$. The value of a is:

Answer 1

3

Answer 2

The question is flawed. The given time expression is dimensionally inconsistent with the derived time. Assuming a typo and forcing a numerical answer, the closest value for 'a' based on a standard derivation is an approximation.