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 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.

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 man and a cart move towards each other. The man weight 64kg and the cart weighs 32kg . The velocity of the man is 5.4km//hr and that of the cart he jumps on to it The velocity of the cart carrying the man will be .

A force F= 2t^2 is applied to the cart initially at rest. The speed of the cart at t = 5 s is -

A cart is moving with a velocity 20 m/s. Sand is being dropped into the cart at the rate of 50 kg/min. The force required to move the cart with constant velocity will be :

A cart is moving with a velocity 20m/s. Sand is being dropped into the cart at the rate of 50 kg/min. The force required to move the cart with constant velocity will be :-