A) \[17\,m{{s}^{-1}}\]
B) \[13\,m{{s}^{-1}}\]
C) \[24\,m{{s}^{-1}}\]
D) \[8\,m{{s}^{-1}}\]
Correct Answer: B
Solution :
Here, \[m=0.5\,kg,u=10\,m{{s}^{-1}},\theta ={{30}^{o}}\] \[\mu =0.2,s=10m.\] Acceleration down the plane, \[a=g(sin\theta -\mu \cos \theta )\] \[=10(sin{{30}^{o}}-0.2cos{{30}^{o}})=3.268\,m{{s}^{-2}}\] From, \[{{v}^{2}}={{u}^{2}}+2as\] \[={{10}^{2}}+2(3.268)\times 10\] \[=165.36\] \[v=\sqrt{165.36}\approx 13\,m{{s}^{-1}}\]
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