What is the Angle of Impact Between Two Masses Rebounding at a 43° Angle?

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Homework Help Overview

The discussion revolves around determining the angle of impact between two colliding balls, where one ball rebounds at an angle of 43°. The context involves concepts from momentum conservation and the geometry of the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the angle of impact and the angle of rebound, questioning how these angles relate to the line joining the centers of mass of the two balls. There is mention of using conservation of momentum and the need for multiple momentum vectors.

Discussion Status

The discussion is active, with participants suggesting the need for diagrams and equations to clarify the problem. Some express caution against relying solely on formulas, emphasizing the importance of understanding the underlying physics. There is an acknowledgment of the potential for deriving relationships between the angles involved.

Contextual Notes

Participants note that the original poster is not working on a formal homework assignment but is speculating on the topic. There is a suggestion that the angle of impact should be defined clearly to avoid confusion with the rebound angle.

bobie
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Homework Statement



A ball A hits another ball B 3 times more massive and rebounds at an angle λ = 43°.1... (cosλ =5/√52).

Can anyone determine the angle of impact? is it possible , at all?
 
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Depends on the context. i.e. what is the angle with respect to?
You'd usually want to use conservation of momentum - which means you need more than one momentum vector.
 
Simon Bridge said:
. what is the angle with respect to?

The angle of impact λ is the angle made by the trajectory of ball A with the line joining the centres of mass of the two balls CA-CB
 
Last edited:
bobie said:
The angle of impact λ is the angle made by the trajectory of ball A with the line joining the centres of mass of the two balls CA-CB
You've already used λ for the rebound angle. Call it something else.
So draw yourself a diagram of the impact, invent symbols as necessary for the masses, velocities and angles, and write down the equations for conservation of momentum in the co-ordinate directions.
 
haruspex said:
draw yourself a diagram of the impact, invent symbols as necessary for the masses, velocities and angles, and write down the equations for conservation of momentum in the co-ordinate directions.
Isn't there a formula to find directly one angle knowing the other one?
It shouldn't be difficult to work one if in principle it is possibel to find it, right?

Thanks for four help
 
Yes there is - however, it is poor practice to do physics by memorizing formulas: there are just too many of them.
It is much better to get into the habit of deriving your formulas from the physics in front of you.

Besides, giving you the formula, in this case, would amount to "doing your homework for you"; which we like to avoid.
 
bobie said:
Isn't there a formula to find directly one angle knowing the other one?
It shouldn't be difficult to work one if in principle it is possibel to find it, right?
That should result from the momentum equations. Write them out, solve them, post how far you get.
 
Simon Bridge said:
Besides, giving you the formula, in this case, would amount to "doing your homework for you"; which we like to avoid.
Hi Simon, it is not homework (no school) , as usual I am speculating. I was just wondering why it is never mentioned.

I'll work out the formula by myself, it shouldn't be difficult.
Thanks
 

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