Center of Mass and Collision

Three particles of mass $1 \mathrm{~kg}, 2 \mathrm{~kg}$ and 3 kg are placed at the vertices A, B and C respectively of an equilateral triangle ABC of side 1 m . The centre of mass of the system from vertex A (located at origin) is

During an elastic collision between two bodies, which of the following statements are correct?
I. The initial kinetic energy is equal to the final kinetic energy of the system.
II. The linear momentum is conserved.
III. The kinetic energy d...

The centre of mass of an extended body on the surface of the earth and its centre of gravity

A ball hits the floor and rebounds after an inelastic collision. In this case

A \(1 \mathrm{~kg}\) ball moving at \(12 \mathrm{~ms}^{-1}\) collides with a \(2 \mathrm{~kg}\) ball moving in opposite direction at \(24 \mathrm{~ms}^{-1}\). If the coefficient of restitution is \(2 / 3\), then their velocities after the c...

Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are \(v\) and \(2 v\) at any instant, then the speed of centre of mass of the system is

During inelastic collision between two objects, which of the following quantity always remains conserved?

Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air