A block of mass m is pushed towards a movable wedge of mass 2m and height h with a velocity u. All surfaces are smooth. The minimum value of u for which the block will reach the top of the wedge is

A block of mass m is placed on a smooth wedge of mass M. The value of force F such that m does not slide down relative to wedge is

A block of mass m is placed on a smooth wedge of mass M placed at rest on a smooth horizontal surface as shown in the figure. During the time the block slides on the wedge,The centre of mass of the “block-wedge” system accelerates downward by acceleration a < g.Work done by the contact forces between block and wedge is zero in any frame.Momentum of the block-wedge system remains zero in horizontal direction.Work done by the contact forces between block and wedge is zero only in ground frame.

A block with mass m1 = 0.400 kg is released from rest on a frictionless track at a distance h1 = 3.00 m above the top of a table. It then collides elastically with an object having mass m2 = 0.800 kg that is initially at rest on the table, as shown in the figure below.A curved wedge rests on a table. The wedge has the appearance of a hill sliced vertically in half: the surface at the top is horizontal, and then it gradually increases the magnitude of its slope down to the right before turning sharply down, and then decreasing the magnitude of its slope until it is almost horizontal. The vertical distance between the surface of the table and the top of the wedge is h1. The height of the table is h2. A block labeled m1 rests on the top of the wedge. A block labeled m2 rests at the very bottom of the slope of the wedge, at the edge of the table. A dashed parabolic line shows the path m2 would take after being knocked off the table. The path ends a horizontal distance x from the edge of the table.(a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.)v1 = m/sv2 = m/s(b) How high up the track does the 0.400-kg object travel back after the collision? m(c) How far away from the bottom of the table does the 0.800-kg object land, given that the height of the table is h2 = 1.95 m? m(d) How far away from the bottom of the table does the 0.400-kg object eventually land? m

A block of mass 2 kg is kept at origin at t=0 and is having velocity 45√ m/s in positive x-direction. The only force acting on it is a conservative and its potential energy is defind as U=– x3 + 6x2 + 15 (SI units). Its velocity when its acceleration is minimum after t=0 is-

A block of mass m is placed on a smooth inclined wedge ABC of inclination θ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between a and θ for the block to remain stationary on the wedge is :-    [2018]A: B: C: a = g cos θD: a = g tan θ