A flatcar of mass `m_0` starts moving to the right due to a constant horizontal force F(figure). Sand spills on the flatcar from a stationary hopper. The velocity of loading is constant and equal to `mukg//s`. Find the time dependence of the velocity and the acceleration of the flatcar in the process of loading. The friction is negligibly small.

A cart loaded with sand moves along a horizontal plane due to a constant force F coinciding in direction with the cart's velocity vector. In the process, sand spills through a hole in the bottom with a constant velocity mu kg//s . Find the acceleration and the velocity of the cart at the moment t, if at the initial moment t=0 the cart with loaded sand had the mass m_0 and its velocity was equal to zero. The friction is to be neglected.

A cart loaded with sand moves along a horizontal floor due to a constant force F coinciding in direction with cart's velocity vector. In the process, the sand spills through a hole in the bottom with a constant rate mukg//s. Find the acceleration and velocity of the cart at the moment t , if at the initial moment t=0 the cart with loaded sand had mass m_(0) and its velocity was equal to zero. Friction is to be neglected.