A bullet of mass `m_1` travelling with a velocity u strikes a stationary wooden block of mass `m_2` and gets embeded into it. Determine the expression for loss in the kinetic energy of the system. Is this violating the principle of conversation of energy? If not, how can you account for this loss?

A body of mass 2 kg moves with a velocity of 5 m/s. Find its kinetic energy.

A bullet of mass 0.1 kg moving horizontally with a velocity of 20 m//s strike a stationary target and is brought to rest in 0.1 s. Find the impulse and average force of impact.

A bullet of mass 10g moving horizontally with a velocity of 400 ms^(-1) strikes a wooden block of mass 2 kg which is suspended by a light inextensible string of length 5m . As a result, the center of gravity of the block is found to rise a vertical distance of 10cm . The speed of the bullet after it emerges out hirizontally from the block will be

Two bodies of masses m_(1) and m_(2) have same kinetic energy. The ratio of their momentum is

A body of mass 0.5 kg moving with a velocity of 6 m//s collides with another body of mass 2 kg moving at 2 m//s and travelling in opposite direction. If the two bodies travel together after the collision, find the velocity of combined mass and the loss of kinetic energy.

A sphere of mass 0.5 kg and diameter 1 m rolls without sliding with a constant velocity of 5 m//s . What is the ratio of the rotational K.E. to the total kinetic energy of thesphere ?

Two bodies of masses 3 kg and 2 kg collide head-on. Their relative velocities before and after collision are 15 m/s and 5 m/s respectively. The loss of kinetic energy of the system is

A circular disc of mass 0.41 kg and radius 10 m rolls without slipping with a velocity of 2 m/s. The total kinetic energy of disc is

Ajay and Atul have been asked to determine the potential energy of a ball of mass m kept on a table as shown in the figure. What answers will they get? Will they be different? What do you conclude from this

A body of mass 2 kg travels with a velocity of 8 m//s makes a head on collision with another body having mass 4 kg, which is travelling in the same direction with a velocity of 1 m//s . Calculate the velocities of the two bodies after collision. Find the loss in kinetic energy of the system. (Given e = 0.5)