Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A body of mass 2 kg moving with a speed of 3 m/s collides with a body of mass 1 kg moving with a speed of 4 m/s. If the collision is one dimensional and completely inelastic the speed of composite mass after the collision may be (1)\[\frac{3}{2}\]m/s (2) \[\frac{2}{3}\]m/s (3) 4 m/s (4)\[\frac{10}{3}\]m/sA) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: C
Solution :
If\[{{v}_{1}}\]and\[{{v}_{2}}\]are in same direction then \[{{v}_{comp}}=\frac{{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}}{{{m}_{1}}+{{m}_{2}}}=\frac{2\times 3+1\times 4}{2+1}\] \[=\frac{10}{3}m/s\] However, if\[{{v}_{1}}\]and\[{{v}_{2}}\]are in mutually opposite directions. Then \[{{v}_{comp}}=\frac{2\times 3+1\times (-4)}{2+1}=\frac{2}{3}m/s\]
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