Center of MassMediumBloom L3
Question
Seven identical birds are flying south together at constant velocity. A hunter shoots one of them, which immediately dies and falls to the ground. The other six continue flying south at the original velocity. After the one bird has hit the ground, the centre of mass of all seven birds
Options
A.continues south at the original speed, but is now located some distance behind the flying birds
B.continues south, but at 6/7 the original velocity
C.continues south, but at 1/7 the original velocity
D.stops with the dead bird
Solution
Sol. $(v_{cm})_{f} = \frac{m.O + ({m.v}) \times 6}{7m} = \frac{6}{7}v$
$(v_{cm})_{i} = \frac{({mv}) \times 7}{7m} = v$
∴ $(v_{cm})_{f} = \frac{6}{7}(v_{cm})_{i}$
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