APQ is a rough surface. The portion AP is parabolic given by equation  $x^2=16y.$ The point ‘A’ assumed to be origin. The portion PQ is a straight line of length $20\sqrt{3}m,$  The coefficient of friction between block and surface (APQ) is $\sqrt{\frac{1}{3}}.$  A block of mass 3 kg is moved on surface APQ by applying a force on it. The direction of force is always tangential to the surface APQ. The line PQ is tangent on the curve AP at P. If the block moves very slowly on the surface from A to Q, then the work done by applied force is $W$ joule. Then the value of  $\frac{W}{250}$ is (take g=10ms^-2)