Laws of Motion ...

A shell is fired from a cannon with a velocity v ms^-1 at an angle of θ with the horizontal direction. At the highest point in its path, it explodes into 2 pieces of equal masses. One of the piece retraces its path to the cannon. The speed of the other piece immediately after the explosion is

A rocket of mass 1000 kg is exhaust gases at a rate of 4 kgs^-1 with a velocity 3000 ms^-1. The thrust developed on the rocket is

A man of 50 kg is standing at one end on a boat of length 25m and mass 200 kg. If he starts running and when he reaches the other end, he has a velocity 2 ms^-1with respect to the boat. The final velocity of the boat is (in ms^-1)

A shell initially at rest explodes into two pieces of equal mass, the two pieces will

Impulse is

A mass of 100 g strikes the wall with speed 5 ms^-1 at an angle as shown in figure and it rebounds with the same speed. If the contact time is 2 x 10^-3 s, what is the force applied?

A ball of mass m moves with speed v and it strikes normally with a wall and reflected back normally. If its time of contact with wall is t, then find force exerted by ball on the wall

The resultant of two forces acting at an angle of 120° is 10 kg–wt and is perpendicular to one of the forces. That force is

A piece of wire is bent in the shape of a parabola y = kx² (y – axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x –axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stays at rest with respect to the wire, from the y – axis is