Discussion Forum

Two bodies, each of mass M, are kept fixed with a separation of 2L. A particle of mass m is projected from the mid-point of the line joining their centres, perpendicular to the line.The  gravitational constant G .The correct statement(s) is (are)

Answer:

Explanation:

Let v is the minimum velocity .From energy conservation

 $U_{c}+K_{c}=U_{\infty}+K_{\infty}$

$\therefore$    $mV_{c}+\frac{1}{2}mv^{2}=0+0$  $\therefore$   $v=\sqrt{-2V_{c}}$

 = $\sqrt{(-2)\left(\frac{-2GM}{L}\right)}=2\sqrt{\frac{GM}{L}}$