In fig. shown, the speed of the truck is v to the right. Find the speed with which the block is moving up at `theta=60^(@)`.

Consider the situation of block pulley arrangement shown in figure-1.63. A plank is connected to three strings and an electric motor M is fitted on to it and a string is wound on it according to the arrangement shown in figure. Given that the string is winding on shaft of motor at a speed v. Find the speed with which the plank would be going up.

A truck moves up a hill of icline 1 in 50 with a speed of 20 KMPH. If the resistance to the motion of the truck is 4% its weight, the speed of te truck while moving down hill utilising the same power is

A bullet of mass 20 g moving with a speed of 500ms^(-1 ) strikes a wooden block of mass 1 kg and gets embedded in it. Find the speed with which block moves along with the bullet.

In the fig. shown, the pulley and string are mass less and the incline is frictionless. The segment AP of the string is parallel to the incline and the segment PB is perpendicular to the incline. End of the string is pulled with a constant force F. (a) If the block is moving up the incline with acceleration while being in contact with the incline , then angle theta must be less than theta_(0) . Find theta_(0) If theta = (theta_(0))/(2) find the maximum acceleration with which the block can move up the plane without losing contact with the incline.

A boy is standing on a truck moving with a constant velocity of 15 m//s on the horizontal road. The boy throws a ball in such a way that it returns to the truck after the truck has moved 60 m . Find the speed and the angle of projection (a) as seen by the truck and (b) as seen from the road.

truck is moving with a speed of 15 m/s. A car chasing this truck with a speed of 10 m/s fires a bullet at truck with muzzle velocity 90 km/h. The speed with which the bullet hit the truck is

truck is moving with a speed of 15 m/s. A car chasing this truck with a speed of 10 m/s fires a bullet at truck with muzzle velocity 90 km/h. The speed with which the bullet hit the truck is

Find out the distance travelled by the block as shown in figure. If the initial speed of the block is v and mu is the friction coefficient between the surface of block and ground.

Three blocks A, B and C each of mass m are placed on a surface as shown in the figure. Blocks B and C are initialyy at rest. Block A is moving to the right with speed v. It collides with block B and stricks to it. The A-B combination collides elastically with block C. Which of the following statement is (are) true about the velocity, of block B and C.