A mass-spring system oscillates such that the mass moves on a rough surface having coefficient of friction `mu`. It is compressed by a distance a from its normal length and, on being released, it moves to a distance b from its equilibrium position. The decrease in anplitude for one half-cycle (-a to b) is

For the system shown in fig., initially the spring is compressed by a distance 'a' from its natural length and when released, it moves to a distance 'b' from its equillibrium position, the decrease in amplitude for half cycle (-a to +b) is :

For the system shown in fig., initially the spring is compressed by a distance 'a' from its natural length and when released, it moves to a distance 'b' from its equillibrium position, the decrease in amplitude for half cycle (-a to +b) is :

A block of mass m=0.1 kg is connected to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance ((x)/(2)) from the equilibrium position, it hits another block and comes to rest momentarily, while the other block moves with velocity 3ms^(-1) . The total initial energy of the spring is :

A body of mass m moves with a velocity v on a surface whose friction coefficient is mu . If the body covers a distance s, before it comes to rest, then v will be :

A vehicle of mass M is moving on a rough horizontal road with a momentum P If the coefficient of friction between the tyres and the road is mu is then the stopping distance is .

A vehicle of mass M is moving on a rough horizontal road with a momentum P If the coefficient of friction between the tyres and the road is mu is then the stopping distance is .

A block of mass m=0.1 kg is connceted to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance ((x)/(2)) from the euilibrium position, it hits another block and comes to rest momentarily, while the other block moves with velocity 3ms^(-1) . The total initial energy of the spring is :

The ration of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude , the distance being measured from its equilibrium position is

The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is

The ration of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude , the distance being measured from its equilibrium position is