Two blocks of masses `5 kg and 2 kg` are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of `14 m//s` to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively :

Two blocks of masses `5 kg and 2 kg` are placed on a frictionless surf

1.	Two blocks of masses `5 kg and 2 kg` are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of `14 m//s` to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively :
Answer» Given, `m_(1) = 5` kg, `m_(2) = 2 kg`, `v_(1) = 14ms^(-1)`, `v_(2) = 0`, `v_(cm) = ?` `therefore v_(CM) = (m_(1)v_(1) + m_(2)v_(2))/(m_(1) + m_(2))` = (5 xx 14 +2 xx 0)/(5 +2)` `=70/7 = 10 ms^(-1)` in the direction of lighter one.

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