Blockes A and B are resting on a smooth horizontal surface given equal speeds of `2ms^(-1)` in opposite sense as shown in the figure.

At t=0, the position of blocks are shown, then the coordinates of center of mass t=3s will be

A block is kept on a rough horizontal surface. A variable horizontal force is acting on the block as shown in the figure. At t=0 , block is at rest. Kinectic energy of block at t=5 sec will be (g=10m//s^(2))

Two blocks A and B of masses m and 2m are placed on a smooth horizontal surface. Block B is given a speed of 3m//s . Find (i) The maximum speed of A (ii) The minimum speed of B .

A 15kg block is initially moving along a smooth horizontal surface with a speed of v=4m//s to the left. It is acted by a force F , which varies in the manner shown. Determine the velocity of the block at t=15 seconds.

Two blocks of masses m and 2m are placed on a smooth horizontal surface as shown in the figure. Find the acceleration of each block and normal reaction between two blocks if a horizontal force F_(0) is applied on (a) m and (b) 2m

A long block A is at rest on a smooth horizontal surface. A small block B whose mass is half of mass of A is placed on A at one end and is given an initial velocity u as shown in figure. The coefficient of friction between the blocks is mu .

A block of mass m moving with a velocity v_(0) on a smooth horizontal surface strikes and compresses a spring ofstiffuess k till mass coines to rest as shown in the figure. This phenomenon is observed by two observers : (a) Standing on the horizontal surface (b) standing on the block To an observer B, when the block is compressing the spring :

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initally at rest in its equilibrium position. If now the block is pulled withe a constant force F, the maximum speed of the block is :