A) \[10\,\,m/s\]
B) \[7.5\,\,m/s\]
C) \[2.5\,\,m/s\]
D) \[5\,\,m/s\]
Correct Answer: C
Solution :
Mass of the first body\[{{m}_{1}}=5\,\,kg\] Velocity of first body before collision \[{{v}_{1}}=10\,\,m/s\] Mass of the second body\[{{m}_{2}}=20\,\,kg\] velocity of first body after collision \[v=0\] From the law of conservation of momentum \[{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}\] \[5\times 10+20\times 0=5\times 0+20\times {{v}_{2}}\] \[20{{v}_{2}}=50\] or \[{{v}_{2}}=2.5\,\,m/s\] (\[{{v}_{2}}\] is velocity of second body after collision)
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