A shell of mass 3m is moving horizontally through air with velocity u when an internal explosion causes it to separates into two parts of masses m and 2m, which continue to move horizontally in the same vertical plane. If the explosion generates additional energy, of amount `12mu^(2)` prove that the two fragments separate with relative speed 6u.

A stationary body explodes into two fragments of masses m_(1) and m_(2) . If momentum of one fragment is p , the energy of explosion is

A stationary body explodes into two fragments of masses m_(1) and m_(2) . If momentum of one fragment is p , the energy of explosion is

A body of mass 4m is split into two equal parts by an internal explosion which generates a kinetic energy E. If, after the explosion, the parts move in the same line as before, then what is their relative speed?

An object of mass 3m, initially at rest, explodes breaking into two fragments of mass m and 2m, respectively. Which one of the following statements concerning the fragments after the explosion is true?

A shell moving with a velocity of 500 m/s, suddenly explodes into two pieces of masses m_(1) and m_(2) . They continue to move with velocities of 600 m/s and 200 m/s in the same direction. What is the ratio (m_(1))/(m_(2)) of the two pieces?

An object of mass 5 kg is projected with a velocity of 20 m/s at angle of 60° to the horizontal. At the highest point of its path, the projectile explodes and breaks up into two fragments of masses 1 kg and 4 kg. The fragments separate horizontally after the explosion. The explosion releases internal energy such that the kinetic energy of the system at the highest point is doubled. If the separation between the two fragments when they reach the ground is x, then find the value of x/(5sqrt(3)) .

A mass m moving horizontal (along the x-axis) with velocity v collides and stricks to mass of 3m moving vertically upward (along the y-axis) with velocity 2v . The final velocity of the combination is

A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with messes in the ratio of 1:2 If the smaller part moves at 60 m/s in the same direction , then fractional change in kinetic energy is :