Can you confirm a simple Physics Velocity Question?

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SUMMARY

The discussion revolves around a physics problem involving two colliding objects with masses of 6 kg and 8 kg, moving at velocities of 5 m/s and 8 m/s, respectively. The correct method to calculate their common velocity after collision is to use the principle of conservation of momentum, leading to the equation 5x6 + 8x8 = 14V. The accurate common velocity, calculated as V = 6.71 m/s, confirms that the initial momenta of both objects must be added since they are moving in the same direction.

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Homework Statement



Object a Mass 6kg moving velocity 5m/s is followed by a second object mass 8kg velocity 8m/s in the same straight line.

If the two objects are joined together after collision and move in the original direction, calculate heir common velocity.

The Attempt at a Solution



Now have either:

6x5 - 8x8 = 14V

-34 = 14V

-34/14 = V

V = -2.42m/s

or 5x6 + 8x8 = 14V

94 = 14V

94/14 = V

V = 6.71m/s

Which one is right?

Thanks in advance
 
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The second one is right because both of the objects are moving in the same direction hence you would ADD the initial momentum of each mass.
 

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