A block of mass m = 2 kg is attached to a spring whose spring constant is k = 8 `Nm^(-1)`. The block slides on an incline for which `mu_(k)`=`(1)/(8)` and `theta` = 37°. If the block starts at rest with spring unextended, what is its speed, in `ms^(-1)`, when it has moved a distance d = 0.5 m down the incline ?

A block of mass m=4kg is attached to a spring of spring constant (k=32 Nm^(-1)) by a rope that hangs over a pulley of mass M=8kg If the system starts from rest with the spring unstretched, find the speed of the block after it falls 1m . Treat the pulley as a disc, so I=1/2 MR^2

A block of mass 'm' is attached to a spring in natural length of spring constant 'k' . The other end A of the spring is moved with a constat velocity v away from the block . Find the maximum extension in the spring.

Consider a block of mass 6 kg is attached to a spring having constant 16 Nm^(-1) . If the block is at rest initially and then stretched by a constant force of 20 N on frictionless surface as shown in figure . Caclculate the speed of the block when it has moved through a distance of 0.2 m from its initial position . d

A block of mass m is attached to two unstretched springs of spring constant k , each as shown. The block is displaced towards right through a distance x and is released The speed of the block as it passes through the mean position will be

The block of mass m is released when the spring was in its natrual length. Spring constant is k. Find the maximum elongation of the spring.

A block of mass m, attacted to a string of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest. If the block moves a distance x from the mean position, then

A block whose mass is 2 kg is fastened on a spring whose spring constant is 100 Nm^(-1) . It is pulled to a distance of 0.1 m from over a frictionless surface and is released at t=0. Calculate the kinetic eneryg of the block when it is 0.05 m away from its mean position.

In the figure shown below , a block of mass 4 kg is attached to a spring constant 24 N/m . The coefficient og friction mu = 0.5 . If the system is initially at rest and a constant horizontal force of 50 N is applied on the block , then calculate its speed when it is moved through a distance of 0.6 m .

A block of mass m is attached with a massless spring of force constant k . The block is placed over a fixed rought inclined surface for which the coefficient of friction is mu=(3)/(4) . The block of mass m is initially at rest . The block is mass M is released from rest with spring in unstretched state. The minimum value of M required to move the block up the plane is ( neglect mass of string and pulley and friction in pulley )