An object of mass ‘m’ initially at rest on a smooth horizontal plane starts moving under the action of force F = 2N. In the process of its linear motion, the angle  $\mathrm{\theta }$ (as shown in figure) between the direction of force and horizontal varies as $\mathrm{\theta }$=kx  , where ‘k’ is a constant and ‘x’ is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be $\mathrm{E}=\frac{\mathrm{n}}{\mathrm{k}}\mathrm{sin\theta }$ . The value of ‘n’ is ......