Conservation of Momentum in Elastic Collision at Angles

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SUMMARY

The discussion centers on an elastic collision involving three ball bearings, where Ball A (2 kg, 2 m/s) collides with two stationary Ball B and C (1 kg each). The user initially calculated that Balls B and C would be ejected at 2 m/s at a 45-degree angle post-collision, but recognized that this violates the conservation of energy principle. The correct approach requires applying both momentum and kinetic energy conservation equations to determine the final velocities and angles of Balls B and C accurately.

PREREQUISITES
  • Understanding of elastic collisions and conservation laws
  • Familiarity with momentum equations (P = MV)
  • Knowledge of kinetic energy equations (E = 0.5M(V)^2)
  • Basic vector analysis for collision angles
NEXT STEPS
  • Review the principles of conservation of momentum and energy in elastic collisions
  • Practice solving two-dimensional collision problems using vector components
  • Learn how to derive final velocities from conservation equations in elastic collisions
  • Explore simulation tools for visualizing elastic collisions and their outcomes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for examples of elastic collision problems.

nelson_qna
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Homework Statement



If a Mass let's say a Ball Bearing A with a velocity of 2ms-1 and a mass of 2Kg hits two other ball bearing B & C which is not moving with ball bearing B & C each has a mass of 1kg each. What will happen to ball bearing B & C?

Please see attached picture i have the question and my attempt to answer it.

Homework Equations



P= MV

or

P = Mass BallA X Velocity BallA = Mass BallB X Velocity BallB + Mass BallC X Velocity BallC

And

E = 0.5M(V)^2

The Attempt at a Solution



The collision is a Elastic Collision (The attempted answer is also in the picture.

After the collision Ball B & C will be ejected at 2ms-1 at a 45 degree angle from the point of impact with Ball A.

I know the answer is wrong as the conservation of energy is not being conserved in my answer. Can some one tell me how to answer this question correctly.

Thank you so very much.
 

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hi nelson_qna! :wink:

show us your full calculations, and then we'll know how to help! :smile:
 
nelson_qna said:

Homework Statement



If a Mass let's say a Ball Bearing A with a velocity of 2ms-1 and a mass of 2Kg hits two other ball bearing B & C which is not moving with ball bearing B & C each has a mass of 1kg each. What will happen to ball bearing B & C?

Please see attached picture i have the question and my attempt to answer it.

Homework Equations



P= MV

or

P = Mass BallA X Velocity BallA = Mass BallB X Velocity BallB + Mass BallC X Velocity BallC

And

E = 0.5M(V)^2

The Attempt at a Solution



The collision is a Elastic Collision (The attempted answer is also in the picture.

After the collision Ball B & C will be ejected at 2ms-1 at a 45 degree angle from the point of impact with Ball A.

I know the answer is wrong as the conservation of energy is not being conserved in my answer.
Okay, what equation does conservation of energy give you?
Can some one tell me how to answer this question correctly.

Thank you so very much.
 

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