Figure shows a boy on a horizontal platform A on a smooth horizontal surface, holding a rope attached to a box B. Boy pulls the rope with a constant force of 50 N. The combined mass of platform A and boy is `250kg` and that' of box B is `500kg.` The velocity of A relative to the box B 5 s after the boy on A begins to pull ,the rope,will be:

A rope is stretched between two stationary boats on the surface of a lake. A man in the first boat pulls the rope with a constant force of 100 N. The distance between the boats is 100 m in the beginning. The mass of the first boat with the man is 250 kg ,while the mass of the other is 500 kg. Find :(i) the velocity of approach of the two boats 15 s after the start,(ii) the time taken for the two boats to meet each other. [Hint: Consider relative acceleration and apply kinematic equations.]

Three boys are standing on a horizontal platform of mass 170kg as shown in figure. The exchange their position as shown inthe figure. Distance moved by the platform is:

A man is pulling a rope attached to a block on a smooth horizontal table. The tension in the rope will be the same at all points

A lawn roller is pulled along a horizontal surface through a distance of 20 m by a rope with a force of 200 N . If the rope makes an angle of 60^@ with the vertical while pulling, the amount of work done by pulling force is

A man of mass m_1 is standing on a platform of mass m_2 kept on a smooth horizontal surface. The man starts moving on the platform with a velocity v_r relative to the platform. Find the recoil velocity of platform.

A 50 kg man is standing at the centre of a 30 kg platform A. Length of the platform is 10 m and coefficient of friction between the platform and the horizontal ground is 0.2. Man is holding one end of a light rope which is connected to a 50 kg box B. The coefficient of friction between the box and the ground is 0.5. The man pulls the rope so as to slowly move the box and ensuring that he himself does not move relative to the ground. If the shoes of the man does not slip on the platform, calculate how much time it will take for the man to fall off the platform. Assume that rope remains horizontal, and coefficient of friction between shoes and the platform is 0.6.

A light rope is passed over a pulley such that at its one end a block is attached , and on the other end a boy is climbing up with acceleration g/2 relative to rope. Mass of the block is 30 kg and that of the boy is 40 kg. Find the tension and acceleration of the rope .

A 30 kg body is pulled by a rope 4 m long on a frictionless horizontal surface by a force 96 N if mass of the rope is 2 kg, force acting on the body is:

A boy pulls a wagon with a force of 6 N east as another boy pushes it with a force of 3 N east. What is the net force?