Help with Final Velocity Collision Problem

Click For Summary
SUMMARY

The discussion focuses on solving a final velocity collision problem involving three masses: m1, m2, and m3. The key equations used include the conservation of momentum and the calculation of the center of mass velocity. The values provided are m1 = 2 kg, v1 = 4 m/s, and m2 is half of m1, resulting in m2 = 1 kg. The final velocity of m3 is calculated to be v3 = -4 m/s, indicating a direction in the negative x-axis, while the center of mass velocity is determined to be 4 m/s in the positive x-direction.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with center of mass calculations
  • Basic algebra for solving equations
  • Knowledge of vector direction in physics
NEXT STEPS
  • Study the principles of elastic and inelastic collisions
  • Learn about momentum conservation in multi-body systems
  • Explore advanced center of mass calculations in two dimensions
  • Review examples of collision problems in physics textbooks
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering collision problems and momentum conservation in mechanics.

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
 

Attachments

  • upload_2017-12-16_17-0-34.png
    upload_2017-12-16_17-0-34.png
    33.7 KB · Views: 827
Physics news on Phys.org
Lori said:
v3= -4? in the x direction
Yes (answer (f)).
 

Similar threads

  • · Replies 16 ·
Replies
16
Views
3K
Replies
5
Views
3K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
3K
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 15 ·
Replies
15
Views
7K