A) \[20\text{ }m{{s}^{-1}}\]
B) 10 \[\sqrt{31}m{{s}^{-1}}\]
C) \[50\text{ }m{{s}^{-1}}\]
D) \[30\text{ }m{{s}^{-1}}\]
Correct Answer: C
Solution :
\[{{p}_{i}}=m\,u\] \[=m\,20\] \[\therefore \]\[|{{p}_{i}}|=|{{p}_{2}}+{{p}_{3}}|\] \[{{p}_{3}}=\sqrt{p_{i}^{2}+{{({{p}_{2}})}^{2}}}\] \[\frac{m\upsilon }{2}=\sqrt{{{m}^{2}}{{(20)}^{2}}+{{\left( \frac{m}{2}30 \right)}^{2}}}\] \[\frac{m\upsilon }{2}=\frac{m}{2}\sqrt{{{(40)}^{2}}+{{(30)}^{2}}}\] \[\upsilon =50m/\sec \]You need to login to perform this action.
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