Can you confirm a simple Physics Velocity Question?

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To find the common velocity after the collision of two objects, the correct approach is to add their initial momenta since they are moving in the same direction. The calculation using the equation 5x6 + 8x8 = 14V yields a common velocity of 6.71 m/s. The alternative calculation, which subtracts the momenta, is incorrect. Therefore, the common velocity after the collision is confirmed to be 6.71 m/s. This highlights the importance of correctly applying momentum conservation principles in physics problems.
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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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