A block of mass `m` is pushed with a velocity `v_(0)` along the surface of a trolley car of mass `M`. If the horizontal ground is smooth and the coefficient of kinetic friction between the block of plank is `mu`. Find the minimum distance of relative sliding between the block and plank.

A block of mass m is moving on a rough horizontal surface. mu is the coefficient of kinetic friction between the block and the surface. What is the net force exerted by the surface on the block?

A varying horizental force F = at act on a block of mass m kept on a smooth horizontal surface An identical block is kept on the first block.The coefficient of friction between the blocks is mu . The time after which the relative sliding between the blocks prevails is

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.

Two blocks of Masses M and 2M are connected by a spring of stiffness k .The coefficient of friction between the blocks and the surface is mu Find the minimum constant force F to be applied to 2m in order to slide the mass M .

A varying horizontal force F = at act on a block of mass m kept on a smooth horizontal surface An identical block is kept on the first block. The coefficient of friction between the blocks is mu . The time after which the relative sliding between the blocks prevails is

A small block of mass 'm' is placed on a plank of mass 'M'. The block is connected to plank with the help of a light string passing over a light smooth pulley as shown in figure. The co-efficient of static friction between the block and plank is mu . The co-efficient of friction between the plank and the horizontal surface is zero. What maximum horizontal force F applied on the block of mass m can make the block and plank not to slide relatively?

A small block of mass 'm' is placed on a plank of mass 'M'. The block is connected to plank with the help of a light string passing over a light smooth pulley as shown in figure. The co-efficient of static friction between the block and plank is mu . The co-efficient of friction between the plank and the horizontal surface is zero. What maximum horizontal force F applied on the block of mass m can make the block and plank not to slide relatively?

A plank of mass M and length L is placed at rest on a smooth horizontal surface. A small block of mass m is projected with a velocity v_0 from the left end of it as shown in figure. The coefficient of friction between the block and the plank is m, and its value is such that the block becomes stationary with respect to the plank before it reaches the other end. a. Find the time and common velocity when relative sliding between the block and the plank stops. b. Find the work done by the friction force on the block during the period it slides on the plank. Is the work positive or negative? c. Calculate the work done on the plank during the same period. Is the work positive or negative? d. Also, determine the net work done by friction, Is it positive or negative?