A) \[\frac{1}{2}m\frac{v}{{{t}_{1}}}\,{{t}^{2}}\]
B) \[m\frac{v}{{{t}_{1}}}\,{{t}^{2}}\]
C) \[\frac{1}{2}{{\left( \frac{mv}{{{t}_{1}}} \right)}^{2}}\,{{t}^{2}}\]
D) \[\frac{1}{2}m\frac{{{v}^{2}}}{{{t}_{1}}^{2}}\,\,{{t}^{2}}\]
Correct Answer: D
Solution :
\[Work done =F \times s = ma\,\,\times \,\,\frac{1}{2}\,a{{t}^{2}}\] \[\left[ from\,\,s=ut+\frac{1}{2}a{{t}^{2}} \right]\] \[\therefore \,\,\,W=\frac{1}{2}\,m{{a}^{2}}{{t}^{2}}\,=\frac{1}{2}\,m\,{{\left( \frac{v}{{{t}_{1}}} \right)}^{2}}\,\,{{t}^{2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ As\,\,a\,=\,\frac{v}{{{t}_{1}}} \right]\]
You need to login to perform this action.
You will be redirected in
3 sec
