The elastic constant of the spring in figure is `25.00 N//m` and the mass of the block is `0.50` kg. If the block is to hit the bottle, what is minimum value of `v_(a)`. The spring has natural length when block is `x = 0 m`.

A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is 2.0 N m^(–1) and the mass of the block is 2.0 kg. Ignore the mass of the spring. Initially the spring is in an unstretched condition. Another block of mass 1.0 kg moving with a speed of 2.0 m s^(–1) collides elastically with the first block. The collision is such that the 2.0 kg block does not hit the wall. The distance, in metres, between the two blocks when the spring returns to its unstretched position for the first time after the collision is _________.

A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is 2.0Nm^(-1) and the mass of the block is 2.0 kg. Ignore the mass of the spring. Initially the spring is in an unstretched condition. Another block of mass 1.0 kg moving with a speed of 2.0ms^(-1) collides elastically with the first block. The collision is such that the 2.0 kg block does not hit the wall. The distance, in metres, between the two blocks when the spring returns to its unstretched position for the first time after the collision is

A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is 2.0Nm^(-1) and the mass of the block is 2.0 kg. Ignore the mass of the spring. Initially the spring is in an unstretched condition. Another block of mass 1.0 kg moving with a speed of 2.0ms^(-1) collides elastically with the first block. The collision is such that the 2.0 kg block does not hit the wall. The distance, in metres, between the two blocks when the spring returns to its unstretched position for the first time after the collision is

A smooth block of mass m is connected with a spring of stiffness k(=20Nm^(-1) )and natural length l_(0)=0.25 m . If the block is pulled such that the new length of the spring becomes l=0.3m , find the acceleration of the block at the moment when it is released from given positon.

A smooth block of mass m is connected with a spring of stiffness k(=20Nm^(-1) )and natural length l_(0)=0.25 m . If the block is pulled such that the new length of the spring becomes l=0.3m , find the acceleration of the block at the moment when it is released from given positon.

Two blocks A and B of masses m and 2m are connected by a massless spring of natural length L and spring constant k . The blocks are intially resting on a smooth horizontal floor with the spring at its natural length , as shown . A third identical block C of mass m moves on the floor with a speed v_(0) along the line joining A and B and collides elastically with A . FInd (a) the velocity of c.m. of system (block A + B + spri ng) and (b) the minimum compression of spring.