In a smooth stationary cart of length d, a small block is projected along it's length with velocity `upsilon` towards front. Coefficient of restitution for each collision is e. The cart rests on a smooth ground and can move freely. The time taken by block to come to rest w.r.t. cart is :

A particle of mass 'm' is projected with velocity v_(0) at an angle 'alpha' with the horizontal. The coefficient of restitution for any of its impact with the smooth ground is e . Find total time taken by the particle before it stops moving vertically?

A particle of mass 'm' is projected with velocity v_(0) at an angle 'alpha' with the horizontal. The coefficient of restitution for any of its impact with the smooth ground is e . Find total time taken by the particle before it stops moving vertically?

Three identical spheres lie at rest along a line on a smooth horizontal surface. The separation between any two adjacent spheres is L. The first sphere is moving with a velocity u towards the second sphere at time t = 0. The coefficient of restitution for a collision between any two blocks is 1/3 The correct statement is

A block is placed on an inclined plane moving towards right with an acceleration a_(0) =g The length of the inclined plane is l_(0) . All the surfaces are smooth Find the time taken by the block to reach from bottom to top. .

A long block A of mass M is at rest on a smooth horizontal surface.A small block B of mass M//2 is placed on A at one end and projected along A with some veklocity v.The coefficient of friction between the block is mu then , the accelerations of blocks A and B before reaching a common velocity will be respectively

A long block A of mass M is at rest on a smooth horizontal surface.A small block B of mass M//2 is placed on A at one end and projected along A with some veklocity v.The coefficient of friction between the block is mu then , the accelerations of blocks A and B before reaching a common velocity will be respectively

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Let the coefficient of friction between block B and cart is mu(mugt0) and friction is absent everywhere else. Then the maximum value of force F applied to block A such that there is no relative acceleration between block B and cart is

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Let the coefficient of friction between block B and cart is mu(mugt0) and friction is absent everywhere else. Then the maximum value of force F applied to block A such that there is no relative acceleration between block B and cart is

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Assuming friction to be absent everywhere, the magnitude of acceleration of cart at the shoen instant is