A) \[{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}={{m}_{2}}{{u}_{2}}-{{m}_{1}}{{u}_{1}}\]
B) \[{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}={{m}_{1}}{{u}_{1}}-{{m}_{2}}{{u}_{2}}\]
C) \[{{m}_{2}}{{v}_{2}}+{{m}_{2}}{{u}_{1}}={{m}_{2}}{{v}_{1}}+{{m}_{1}}{{v}_{2}}\]
D) \[{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}\]
Correct Answer: D
Solution :
When two bodies of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] moving with velocities \[{{u}_{1}}\] and \[{{u}_{2}}\] in the same direction collide with each other and \[{{v}_{1}},{{v}_{2}}\] are their velocities after collision in the same direction, then \[{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}+={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}\]
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