A) \[\sqrt{gR}\]
B) \[2\sqrt{gR}\]
C) \[\sqrt{2gR}\]
D) \[\sqrt{3gR}\]
Correct Answer: B
Solution :
[b] Initial length of the spring, \[{{\ell }_{i}},=\sqrt{{{(2R)}^{2}}+{{(1.5R)}^{2}}} =2.5R\] \[\therefore {{x}_{i}}=2.5R-2R=0.5R.\] \[Now\,\frac{1}{2}k{{x}_{i}}^{2}+mg\left( 1.5R \right)=\frac{1}{2}m{{v}^{2}}\] or \[\frac{1}{2}k{{\left( 0.5R \right)}^{2}}+mg\left( 1.5R \right)\]
You need to login to perform this action.
You will be redirected in
3 sec
