A) \[{{\text{v}}_{4}}-\frac{{{\text{v}}_{2}}}{4}\]
B) \[{{\text{v}}_{4}}-\frac{{{\text{v}}_{2}}}{2}\]
C) \[{{\text{v}}_{4}}-{{\text{v}}_{2}}\]
D) \[{{\text{v}}_{4}}\text{+}{{\text{v}}_{2}}\]
Correct Answer: C
Solution :
Applying linear momentum conservation \[{{m}_{1}}{{\text{v}}_{1}}\hat{i}+{{m}_{2}}{{\text{v}}_{2}}\hat{i}={{m}_{1}}{{\text{v}}_{3}}\hat{i}+{{m}_{2}}{{\text{v}}_{4}}\hat{i}\] \[{{m}_{1}}{{\text{v}}_{1}}+0.5\,\,{{m}_{1}}{{\text{v}}_{2}}={{m}_{1}}\text{(0}\text{.5}{{\text{v}}_{1}})+0.5\,\,{{m}_{1}}{{\text{v}}_{4}}\] \[0.5\,\,{{m}_{1}}{{\text{v}}_{2}}=\text{0}\text{.5}\,\,{{\text{m}}_{1}}({{\text{v}}_{4}}-{{\text{v}}_{2}})\] \[{{\text{v}}_{1}}\text{=}{{\text{v}}_{4}}-{{\text{v}}_{2}}\]You need to login to perform this action.
You will be redirected in
3 sec