Rank the velocities of the balls

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Homework Help Overview

The problem involves analyzing the final velocities of different masses attached to strings, released from a specific angle, and colliding elastically. The subject area includes concepts from mechanics, specifically elastic collisions and conservation of momentum.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between mass and velocity in elastic collisions, questioning why heavier masses may not necessarily have higher velocities. There is mention of using generic equations for elastic collisions and the conservation of momentum as a guiding principle.

Discussion Status

Some participants have provided guidance on using equations and analogies to understand the problem better. There is an ongoing exploration of how different masses interact during collisions, with no explicit consensus reached yet.

Contextual Notes

The problem setup includes specific masses and angles, and participants are considering the implications of these factors on the final velocities. The discussion reflects uncertainty about the influence of mass on velocity in the context of elastic collisions.

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Homework Statement

Small masses m1 (m1 = 30 kg) and m2 (m2A = 5 kg; m2B = 10 kg; m2C = 40 kg; m2D = 50 kg; m2E = 30 kg) are each attached to a string of length 2.0 m. The other end of each string is attached to a common point on the ceiling. The masses are raised until each string is at an angle of 22o with respect to vertical, and then simultaneously released. They collide elastically when the strings are vertical. For each case, rank the final velocity of m2, from smallest to largest.

Homework Equations

using the elastic equation formula



The Attempt at a Solution

i don't understand y the heaviest one wouldn't be going the fastest...
 
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You just need to write generic equations for an elastic collision and then plug in the masses for each case.
 
The heaviest one is the one most difficult to influence - whereas the lightest one is the easiest. Or what happens if you roll 2 marbles of different weights together?

I think this assignment has to do with the law of conservation of momentum.

If you release all the balls at an angle, by the time they're about to collide, the system has a total momentum of 0, and after the collision has happened it will need to stay that way.
 
oh ok I see that analogy explains it better...i will work on that and see what I get. thanks
 

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