Q18 of 119 Page 157

In an elastic collision

suppose a spring connects two masses which collides, if after collision the spring regains its shape, then it is elastic collision, so, initial KE must be here equal to final KE.

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A nucleus moving with a velocity emits an α-particle. Let the velocities of the α-particle and the remaining nucleus be and , and their masses be m1 and m2.

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A shell is fired from a cannon with a velocity V at an angle θ with the horizontal direction. At the highest point in its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other piece immediately after the explosion is

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In an inelastic collision

 1

The centre of mass of a system of particles is at the origin. It follows that