What Is the Final Velocity of Two Colliding Putty Wads?

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SUMMARY

The final velocity of two colliding putty wads can be calculated using the conservation of momentum formula: M1 V1i + M2 V2i = (M1 + M2)Vf. In this scenario, Wad 1 has a mass of 5.00 kg traveling at 21.0 m/s south, and Wad 2 has a mass of 5.90 kg moving at 16.0 m/s north. The velocities must be assigned appropriate signs based on their directions; Wad 1's velocity should be negative. Correctly applying these values yields a final velocity of the combined mass of putty after the collision.

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1. Two wads of putty are propelled horizontally directly toward each other. Wad 1 has a mass of 5.00 kg and is traveling at 21.0 m/s south. Wad 2, which is 5.90 kg, is moving at 16.0 m/s north. They collide and stick together. What is the velocity of the joint mass of putty?



2. M1 V1i + M2 V2i = (M1 + M2)Vf



3. I used M1 = 5kg, V1 = 21m/s, M2 = 5.90kg, and V2 = 16m/s. I used the equation to solve for Vf, but I must be doing something wrong because I am not getting the correct answer. Any suggestions? Thanks.
 
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Note that the two wads are traveling in opposite directions before colliding.

+21 m/s and +16 m/s indicate two objects traveling in the same direction. So at least one of those velocities is wrong.
 

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