Conservation of Momentum in Elastic Collision at Angles

AI Thread Summary
In an elastic collision involving a moving ball bearing A (2 kg, 2 m/s) and two stationary ball bearings B and C (1 kg each), the conservation of momentum and energy must be applied. The initial momentum of ball A must equal the total momentum of balls B and C after the collision. The user initially calculated that B and C would be ejected at 2 m/s at a 45-degree angle, but recognized this violates energy conservation principles. To solve the problem correctly, the user needs to provide full calculations to clarify the conservation equations. Understanding the correct application of these principles is essential for determining the final velocities of ball bearings B and C.
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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