Please help me out with the following problem. I have only just begun a mechanics course and am finding it extremely difficult! (a)A cart with initial mass M and a load of sand 1/2M loses its sand at the rate k kg/sec. the cart is puled horizontally by a force F. Find the differential equation for the rate of change of the cart's velocity v in terms of k, M and F while there is sand in the cart? (b)Suppose F=0 and the cart's initial velocity is Vo. What is the sand's final velocity when all the sand has left the cart? (c)A box is filled with sand and is sliding down a smooth plane. The sand is leaking out at a constant rate. If the plane's inclination is A, what is the equation of motion of the box plus all the sand?