Two spheres of are dropped to ground while in contact.

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SUMMARY

In the discussion, participants analyze the dynamics of two spheres of different masses, m and 2m, dropped in contact with each other. The primary focus is on the conservation of momentum during the collision with the ground and the subsequent interaction between the two spheres. The use of impulse to calculate the final velocity of the upper ball after the collision is emphasized, along with the need for clear mathematical representation of the problem. The conversation highlights the importance of showing work in physics problems to facilitate understanding and problem-solving.

PREREQUISITES
  • Understanding of linear momentum conservation principles
  • Familiarity with impulse-momentum theorem
  • Basic knowledge of collision types and their characteristics
  • Ability to set up and solve equations in physics problems
NEXT STEPS
  • Study the impulse-momentum theorem in detail
  • Learn about different types of collisions (elastic and inelastic)
  • Explore the concept of conservation of momentum in multi-body systems
  • Practice solving problems involving stacked objects and collisions
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, educators teaching collision dynamics, and anyone interested in understanding the principles of momentum and impulse in real-world applications.

SiddhantRai
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Member advised to fill out the template, especially the attempt at solution, for all homework help requests.
Two spheres of different masses are dropped to ground.They are in contact as one above the other and are of masses, let’s say m and 2m.They are dropped with velocity v - My question is if we can conserve momentum and if we can why?And how to find the final velocity of upper ball after collision with ground.

- (I have worked on the question because many of the regulators have said that I don’t show effort.)

- I’ve been thinking to use Impuse to calculate the velocity by calculating net Impulse on lower block. I’m stuck as I have three unknowns and only two eqations.
 
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SiddhantRai said:
TI have worked on the question ...
and you have shown zero work here. When the moderators say you have not shown any effort, they mean exactly that. SAYING that you have made an effort is NOT showing the effort.
 
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phinds said:
and you have shown zero work here. When the moderators say you have not shown and effort, they mean exactly that. SAYING that you have made an effort is NOT showing the effort.
So please tell me what extra info you need. If you need some of my rough work I will post that. I just didn’t because I’m having trouble with the concept and don’t think it would matter.
Sorry I didn’t mean to be rude. Please help.
 
SiddhantRai said:
So please tell me what extra info you need. If you need some of my rough work I will post that. I just didn’t because I’m having trouble with the concept and don’t think it would matter.
Sorry I didn’t mean to be rude. Please help.
You have implied that you did some math. Show the math (and be sure to be clear about what it represents).
 
SiddhantRai said:
if we can conserve momentum
What are the conditions for the linear momentum of a system to be conserved?
SiddhantRai said:
how to find the final velocity of upper ball
What other physical laws might be useful?
SiddhantRai said:
only two eqations
What two equations?
 
Last edited:
I am suspicious of these "two stacked balls" problems. The solution always seems to depend on treating the process as two separate collisions, the lower ball with the ground, then that bounced ball with the upper ball. How that is justified I am not sure.
 

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