A) \[\frac{2{{\text{v}}^{2}}}{7g}\]
B) \[\frac{{{\text{v}}^{2}}}{g}\]
C) \[\frac{\text{2}{{\text{v}}^{2}}}{5g}\]
D) \[\frac{{{\text{v}}^{2}}}{2g}\]
Correct Answer: C
Solution :
[c] |
Applying Linear momentum conservation \[mv=(m+M){{v}_{c}}\] |
\[{{v}_{c}}=\frac{\text{v}}{5}\] |
applying work energy theorem |
\[-mgh=\frac{1}{2}(m+M){{v}_{c}}^{2}-\frac{1}{2}m{{\text{v}}^{2}}\] |
Solve,\[h=\frac{2{{\text{v}}^{2}}}{5g}\] |
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