A box of mass m is initially at rest on a horizontal surface. A constant horizontal force of mg/2 is applied to the box directed to the right. The coefficient of friction of the surface changes with the distance pushed as `mu=mu_(0)x` where x is the distance fr4om the initial location . For what distance is the box pushed until it comes to rest again?

A block of mass 2 kg rests on a horizontal surface. If a horizontal force of 5 N is applied on the block, the frictional force on it is ("take", u_(k)=0.4, mu_(s)=0.5)

A block of mass 2 kg rests on a horizontal surface. If a horizontal force of 5 N is applied on the block, the frictional force on it is ("take", u_(k)=0.4, mu_(s)=0.5)

A block of mass m is pushed momentarily along a horizontal surface with an initial velocity u. If mu_k is the coefficient of kinetic friction between the object and surface, find the time at which the block comes to rest.

The block of mass 'm' initially at x=0 is acted upon by a horizontal force F=a-bx as shown in the figure. The coefficient of friction between the surfaces of contact is mu . The net work done on the block is zero if the block travels a distance of ________ .

A small mass slides down an inclined plane of inclination theta with the horizontal the coefficient of friction is mu = mu_(0)x , where x is the distance through which the mass slides down. Then the distance covered by the mass before it stops is

A box of mass M is at rest on a horizontal surface. A boy of mass m (lt M) wants to push the box by applying a horizontal force on it. The boy knows that he will not be able to push the box as the coefficient of friction mu between his shoes and ground is almost equal to that between the box and the ground. He decides to run, acquire a speed u and then bang into the box. After hitting the box, the boy keeps pushing as hard as possible. What is the maximum distance through which the box can be displaced this way ?

A small body of mass 1kg is projected with initial velocity 10sqrt2 m//s on a rough horizontal surface. The coefficient of friction between the body and surface varies as mu = 5x where x is the displacement of the body. The distance travelled by the body before coming to rest__

A block having a mass 3kg is initially at rest on a horizontal surface. The coefficient of static friction mu_(s) =0.3 between theblock and the surface and mu_(k) is 0.25 .A constant force F of 50 N, acts on the body at the angle theta = 37^(@) . What is the acceleration of the block ?

A block of mass 1 kg is held at rest against a rough vertical surface by pushing by a force F horizontally. The coefficient of friction is 0.5. When