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Figure shows two blocks of masses 5 kg a...

Figure shows two blocks of masses `5 kg` and `2 kg` placed on a frictionless surface and connected with a spring. An external kick gives a velocity of `14 m//s` to the heavier block in the direction of lighter one. Deduce (a) velocity gained by the centre of mass and (b) the separate velocities of the two blocks in the centre of mass coordinates just after the kick.

Text Solution

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(i)Velocity of centre of mass is `v_(cm)(5xx14+2xx0)/(5+2)=10`m/s (ii) Due to kick on 5 kg block, it starts moving with a velocity 14 m/s immediately, but due to inertia 2 kg block remains at rest, at that moment. Thus, velocity of 5 kg block with respect to the center of mass is `v_1 = 14 — 10= 4 m/s` and the velocity of 2 kg block w.r.t. to center of mass is `v_2 = 0 — 10= —10 m/s`.
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