Work, Energy an...

Statement I: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement II: Principle of conservation of momentum holds true for all kinds of collisions.

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A?

A body of mass 2 kg moving with a velocity of 3 ms ^-1 collides head on with a body of mass 1 kg moving in opposite direction with a velocity of 4 ms^-1. After collision two bodies stick together and move with a common velocity which in ms ^-1 is equal to

In two separate collisions, the coefficient of restitutions e₁ and e₂ are in the ratio 3 : 1. In the first collision the relative velocity of approach is twice the relative velocity of separation, then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is

A stationary bomb explodes into two parts of masses in the ratio of 1 : 3. If the heavier mass moves with a velocity 4 ms ^-1 , what is the velocity of lighter part?

A bullet of mass 20 g and moving with 600 ms^-1 collides with a block of mass 4 kg hanging with the string. What is velocity of bullet when it comes out of block if block rises to height 0.2 m after collision?

For a system to follow the law of conservation of linear momentum during a collision, the condition is
I. total external force acting on the system is zero
II. total external force acting on the system is finite and time of collision is negligible.
III. total internal force acting on the system is zero.

A body of mass m moving with velocity v collides head on another body of mass 2m which is initially at rest. The ratio of kinetic energy of colliding body before and after collision will be

A body of mass 4 kg moving with velocity 12 ms ^-1 collides with another body of mass 6 kg at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is