A) 3.5m
B) 7.0m
C) 10.Sm
D) 14.0m
Correct Answer: B
Solution :
By conservation of mechanical energy \[mgh=\frac{1}{2}m{{v}^{2}}\left( 1+\frac{{{K}^{2}}}{{{R}^{2}}} \right)\] \[\Rightarrow \] \[\frac{7}{10}m{{v}^{2}}=mgh\] \[\Rightarrow \] \[h=\frac{7}{10}\left( \frac{{{v}^{2}}}{g} \right)\] Given, \[v=10\text{ }m/s,g=10\text{ }m/{{s}^{2}}\] \[\therefore \]Maximum height, \[h=\frac{7}{10}\times \frac{10\times 10}{10}\Rightarrow h=7.0m\]
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