A block of mass m is gently placed over a massive plank moving horizontal over a smooth surface with velocity `10 ms^(-1)`. The coefficient of friction between the block and the plank is 0.2. The distance travelled by the block till it slides on the plank is `[g = 10 ms^(-2)]`

A bolck of mass m =2 kg is placed on a plank of mass M = 10 kg, which is placed on a smooth horizontal plane as shown in the figure. The coefficient of friction between the block and the plank is mu=(1)/(3) . If a horizontal force F is applied on the plank, then the maximum value of F for which the block and the plank move together is (g=10m//s^(2))

A block of mass 2kg is placed on the surface of trolley of mass 20kg which is on a smooth surface.The coefficient of friction between the block and the surface of the trolley is 0.25 .If a horizontal force of 2 N acts on the block, the acceleration of the system in ms^(-2) is (g=10ms^(-2))

A block A of mass m is placed over a plank B of mass 2m plank B is placed over a smooth horizontal surface .The coefficient of friction between A and B is 0.4 Block A is given a velocity v_(0) toward right Find acceleration (in ms^(-2) of B relative to A

A block is kept on a rough horizontal plank. The coefficient of friction between the block and the plank is 1/2 . The plank is undergoing SHM of angular frequency 10 rad/s. The maximum amplitude of plank in which the block does not slip over the plank is (g= 10 m/ s^(2) )

A block A of mass m is placed over a plank B of mass 2m. Plank B is placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) block A is given a velocity v_(0) towards right. Accelration of B relative to A is

A small block of mass 1kg is placed over a plank of mass 2kg. The length of the plank is 2 m. coefficient of friction between the block and the plnak is 0.5 and the ground over which plank in placed is smooth. A constant force F=30N is applied on the plank in horizontal direction. the time after which the block will separte from the plank is (g=10m//s^(2))

A block of mass m=2kg is placed in equilibrium on a moving plank accelerating with a=1m//s^(2) . If coefficient of friction between plank and block mu=0.2 . The friction force acting on theblock is:

A block of mass m=2kg of shown dimensions is placed on a plank of mass M = 6Kg which is placed on smooth horizontal plane. The coefficient of friction between the block and the plank is mu=1/3 . If a horizontal froce F is applied on the plank, then find the maximum value of F (in N) for which the block and the plank move together

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 wii:h a velocity v_(0) as shown in the Fig. 3.31 (a), The coefficient of friction between the block and the plank is mu , plank is very long so that block eventually comes to rest on it. (i) Find the work done by the ftjctioh force on the block during the period it slides on the plank. Is the Work positive or negative ?' (ii) Calculate the work done on the plank during the same period. Is the work positive or negative? (iii) Also, determine the net work done by friction. Is it positive or negative ?

A block of mass 0.5 kg has an initial velocity of 10ms^(-1) down an inclined plane of angle 30^@ , the coefficient of friction between the block and the inclined surface is 0.2. The velocity of the block after it travels a distance of 10 m is