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The coefficient of restitution e for a perfectly elastic collision is

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Important Questions on Centre of Mass, Momentum and Collisions

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Two perfectly elastic particles P and Q of equal mass travelling along the joining them with velocities 15 m s-1 and 10  m s-1. After collision, their velocities respectively (in m s-1) will be:
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A particle of mass m moving with horizontal speed 6 m s-1 as shown in figure. If m<<M, then for one dimensional elastic collision, the speed of lighter partible after collision will be:

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A particle of mass m moving towards waste with a velocity v collides with another particle of the same mass moving towards the north with the same speed and adheres to it. The velocity of the combined particle is, 
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A particle of mass m and velocity v, obliquely collides elastically with a stationary particle of mass m. The angle between the velocity vectors of the two particles after the collision is
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An iron ball of mass 100 g moving at a speed of 10 m s-1 strikes a wall at angle of 30° and reflects at the same angle. If ball and wall remain in contact for 0.1 s, the force exerted on the wall will be, 
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For inelastic collision between two spherical rigid bodies
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A mass of 20 kg moving with a speed of 10 m s-1 collides with another stationary mass of 5 kg. As a result of the collision, both the masses stick together. The kinetic energy of the composite mass will be