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.

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.

In the figure shown a cart moves on a smooth horizontal surface due to an external constant force of magnitude F . The initial mass of the cart is M_(0) and velocity is zero. Sand falls on to the cart with negligible velocity at constant rate mu kg//s and sticks to the cart. The velocity of the cart at time t is :

A cart loaded with sand having total mass m_(0)=1800kg moves on a straight horizontal road starting from rest under the action of a force of 120N. The sand spills through a small hole hole in the bottom at a rate of 0.5 kg/sec. What will be the velocity of cart after 20 min?

A cart moves with a constant speed along a horizontal circular path. From the cart, a particle is thrown up vertically with respect to the cart.

A cart moves with a constant speed along a horizontal circular path. From the cart, a particle is thrown up vertically with respect to the cart.

A railway carriage of mass M_(c) filled with sand of mass M_(s) moves along the rails. The carriage is given an impulse and it starts with a velocity v_(0) . At the same time it is observed that the sand starts leaking through a hole at the bottom of the carriage at a constant mass rate lambda . Find the distance at which the carriage becomes empty and the velocity attained by the carriage at that time. (Neglect the friction along the rails).

A constant force F is applied on a trolley of initial mass m_0 kept over a smooth surface. Sand is poured gently over the trolley at a constant rate of (mu) kg//s . Afer time t, find (a) mass of the trolley (with sand) (b) net force on the trolley (c) velocity of trolley