A block of mass m rests on a rough horizontal surface (Coefficient of friction is` µ`). When a bullet of mass `m//2` strikes horizontally, and get embedded in it, the block moves a distance d before coming to rest. The initial velocity of the bullet is `ksqrt(2mugd),` then the value of k is

A wooden block of mass m resting on a rough horizontal table (coefficient of friction = mu ) is pulled by a force F as shown in figure.The acceleration of the block moving horizontally is :

A block of mass m=5kg is resting on a rough horizontal surface for which the coefficient of friction is 0.2 . When a force F=40N is applied, the acceleration of the block will be (g=10m//s^(2)) .

A block of mass m moving with a velocity v_(0) on a rough horizontal surface from x=0 coefficient of friction is given by mu=mu_(0)=ax . Find the kinetic energy of the block as function of x before it comes to rest.

A block of mass m is lying on horizontal surface of coefficient of friction mu. A force is applied to the block at an angle theta with the horizontal. The block will move with a minimum force F if

A wooden block of mass M rests on a horizontal surface. A bullet of mass m moving in the horizontal direction strikes and gets embedded in it. The combined system covers a distance x on the surface. If the coefficient of friction between wood and the surface is mu , the speed of the bullet at the time of striking the block is (where m is mass of the bullet)

A block of mass m is placed on a rough horizontal surface. If minimum force to pull the block is (mg)/(2) then coefficient of friction is :

A block of mass m lying on a rough horizontal surface of friction coefficient mu is pulled by a force F as shown , the limiting friction between the block and surface will be

A bullet of mass m strikes a block of mass M . The bullet remains embedded in the block. Find the amplitude of the resulting SHM.

A bullet of mass m hits a target of mass M hanging by a string and gets embeded in it. If the block rises to a height h as a result of this collision, the velocity of the bullet before collision is