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 .

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 :

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 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 :-

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 :-

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 :-

A child of mass 4 kg jumps from cart B to cart A and then immediately back to cart B . The mass of each cart is 20 kg and they are initially at rest. In both the cases the child jumps at 6 m//s relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of V_(B) and V_(A) , respectively, find the ratio of 6V_(B) and 5v_(A) .

A child of mass 4 kg jumps from cart B to cart A and then immediately back to cart B . The mass of each cart is 20 kg and they are initially at rest. In both the cases the child jumps at 6 m//s relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of V_(B) and V_(A) , respectively, find the ratio of 6V_(B) and 5v_(A) .

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.