question_answer

A particle is moving in a circle of radius \[\frac{2}{3}m\] and mass of the particle is 2 kg. The kinetic energy of the particle depends on distance 'S" travelled by the particle as K.E. is\[4{{S}^{4}}\]. The angle made by net acceleration with the radial acceleration when the particle rotate by \[60{}^\circ \] is \[\tan \left( \frac{K}{\pi } \right).\] . Find the value of K.

Answer:

6