Answer:
\[{{v}_{B}}={{v}_{T}}=v=?\] According to the law of conservation of momentum, \[{{m}_{B}}{{u}_{B}}+{{m}_{T}}{{u}_{T}}={{m}_{B}}{{v}_{B}}+{{m}_{T}}{{v}_{T}}\] \[={{m}_{B}}v+{{m}_{T}}v\] \[\Rightarrow V=\frac{{{m}_{B}}{{u}_{B}}+{{m}_{T}}{{u}_{T}}}{{{m}_{B}}+{{m}_{T}}}\] \[=\frac{50\times 5+20\times 1.5}{50+20}=\frac{280}{70}=4m/s\] Boy (B) Trolley (T) \[{{m}_{B}}=50kg\] \[{{m}_{T}}=20kg\] \[{{u}_{B}}=5m/s\] \[{{u}_{T}}=1.5m/s\]
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