The 10-Mg barge B supports a 2-Mg automobile A. If someone drives the automobile to the other side of the barge, determine how far the barge moves. Neglect the resistance of the water.

The elastic cord has an unstretched length $l_{0}$=1.5 ft and a stiffness k=12 lb/ft. It is attached to a fixed point at A and a block at B, which has a weight of 2 lb. If the block is released from rest from the position shown, determine its speed when it reaches point C after it slides along the smooth guide. After leaving the guide, it is launched onto the smooth horizontal plane. Determine if the cord becomes unstretched. Also, calculate the angular momentum of the block about point A, at any instant after it passes point C.

The two disks A and B have a mass of 3 kg and 5 kg ,respectively. If they collide with the initial velocities shown, determine their velocities just after impact. The coefficient of restitution is e=0.65

The 20 g bullet is traveling at 400 m/s when it becomes embedded in the 2 -kg stationary block. Determine the distance the block will slide before it stops. The coefficient of kinetic friction between the block and the plane is $\mu_{k}$=0.2 .

A ballistic pendulum consists of a 4-kg wooden block originally at rest,$\theta = 0^{\circ}$ When a 2-g bullet strikes and becomes embedded in it, it is observed that the block swings upward to a maximum angle of $\theta = 6^{\circ}$ . Estimate the initial speed of the bullet.