Total Momentum and Comparing Momentums After Collision

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SUMMARY

The discussion centers on the principles of momentum conservation in a collision involving two blocks, A and B, on a frictionless surface. Block A has twice the mass of block B and both blocks have equal momenta before the collision. The total momentum after the collision remains the same as before, confirming the law of conservation of momentum. Additionally, the momentum of block A after the collision is twice that of block B, while the velocity of block A is one-half that of block B.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Knowledge of mass and velocity relationships in physics
  • Familiarity with frictionless surfaces in mechanics
  • Basic grasp of spring mechanics and its negligible mass
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  • Study the law of conservation of momentum in elastic and inelastic collisions
  • Explore the effects of mass and velocity on momentum calculations
  • Learn about the dynamics of collisions on frictionless surfaces
  • Investigate the role of springs in collision scenarios
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Use the diagram below to answer the next three questions (3-5).
Two blocks, A and B traveling towards each other with equal momenta on a frictionless surface are separated by a spring of negligible mass. The mass of block A is twice that of block B.
Compared with the total momentum of the blocks before the collision, the total momentum after the collision is:

a) the same

b) one-half as great

c) twice as great

d) four times as great
Use the diagram below to answer the next three questions (3-5).
Two blocks, A and B traveling towards each other with equal momenta on a frictionless surface are separated by a spring of negligible mass. The mass of block A is twice that of block B.
After the collision, the magnitude of the momentum of block A compared with that of block B is

a) one-half as great

b) twice as great

c) four times as great

d) the same
Use the diagram below to answer the next three questions (3-5).
Two blocks, A and B traveling towards each other with equal momenta on a frictionless surface are separated by a spring of negligible mass. The mass of block A is twice that of block B.
After the collision, the magnitude of the velocity of block A compared with that of block B is

a) the same

b) twice as great

c) one-half as great

d) four times as great
 

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Welcome to PF!

Hi box17! Welcome to PF! :wink:

(to clarify: the 3 questions are the same, except that they ask for 1. total momentum 2. compare the momentums 3. compare the velocities)

Tell us what you think the answers are, and then we'll comment.

Start with 1. and 2. :smile:
 

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