A) \[{{t}^{2}}{{p}_{0}}\]
B) \[{{t}^{1/2}}\]
C) \[{{t}^{-1/2}}\]
D) \[t/\sqrt{m}\]
Correct Answer: B
Solution :
| Power \[{{P}_{0}}=Fv\] |
| \[=\left( m\frac{dv}{dt} \right)v\] |
| \[=mv\frac{dv}{dt}\] |
| Integrating both sides |
| \[\int_{{}}^{{}}{{{p}_{0}}dt=\int_{{}}^{{}}{mv\,dv}}\] |
| \[{{p}_{0}}t=\frac{m{{v}^{2}}}{2}\] |
| \[{{v}^{2}}=\frac{2{{p}_{0}}t}{m}\] |
| \[v\propto {{t}^{1/2}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
