Help with Final Velocity Collision Problem

AI Thread Summary
The discussion revolves around solving a final velocity collision problem using momentum and center of mass equations. The key equations include the change in momentum and the center of mass formula. The attempt at a solution involves calculating the velocities of two masses after a collision, with specific values provided for mass and initial velocity. The calculated final velocity, v3, is determined to be -4 in the x-direction, while the center of mass velocity is found to be 4 in the +x-direction. The conclusion confirms the correctness of the calculated values.
Lori

Homework Statement



upload_2017-12-16_17-0-34.png

Homework Equations


change in momentum = m1v1 = m1v1+m2v2
center of mass = m1x + m2x / (total mass)

The Attempt at a Solution


m1v1= m2v2 + m3v3
m1 = 2
v1 = 4
m2 = m1 divided by 2
m3 = m3 divided by 2[/B]

2*4 = 1*12 + 1v3
v3 = -4
v3= -4? in the x directioncenter of mass velocity would be (treating velocities as x?)

v of center mass = (-4*1 + 12*1)/2 = 4 , in the +x-direction
 

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Lori said:
v3= -4? in the x direction
Yes (answer (f)).
 
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