A particle of mass $m$ is constrained to move on $x$-axis. A force $F$ acts on the particle. $F$ always points toward the position labeled E. For example, when the particle is to the left of $E$, $F$ points to the right. The magnitude of $F$ is constant except at point $E$ where it is zero.
The system is horizontal. $F$ is the net force acting on the particle. The particle is displaced a distance A towards left from the equilibrium position $E$ and released from rest at $t=0$
Find minimum time it will take to reach from $x=-\frac{A}{2}$ to $0.$
827-187

  • A
    $\frac{3}{2} \sqrt{\frac{m A}{F}}(\sqrt{2}-1)$
  • B
    $0$
  • C
    $2 \sqrt{\frac{ mA }{ F }}(\sqrt{2}-1)$
  • D
    $\sqrt{\frac{ mA }{ F }}(\sqrt{2}-1)$

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