Compressed spring momentum problem

Click For Summary

Homework Help Overview

The problem involves two lab carts of different masses placed end to end with a compressed spring between them. Upon release of the spring, participants are discussing the resulting motions of the carts and the underlying principles of momentum.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between mass, momentum, and velocity, questioning why the lighter cart travels further after the spring is released. There is discussion about the implications of equal momentum for both carts and how this affects their speeds.

Discussion Status

The discussion is active, with participants providing insights into the relationship between mass and speed in the context of momentum. There is a focus on understanding the mechanics behind the observed motions, and some guidance has been offered regarding the need for equations to clarify these concepts.

Contextual Notes

Participants are working under the assumption that both carts are subject to the same initial conditions and forces from the spring, and there is an acknowledgment of the role of friction in the motion of the carts.

Knfoster
Messages
45
Reaction score
0

Homework Statement



Two lab carts, one heavy and one light, are placed ed to end with a large, compressed spring placed between the two carts. The spring is suddenly released. Describe the motions of the two carts after the spring is released.

Homework Equations

An equation isn't needed.



The Attempt at a Solution

The lighter of the two carts would go further right? Why is it that it goes further though, other than it simply being easier to push?
 
Physics news on Phys.org


Yes, the lighter cart will go further.
And you actually need an equation here: p = mv
They both get imparted with the same momentum, from the spring.
So why does one have a higher speed than the other?
 


Is it simply that the velocity must compensate for the smaller mass?
 


Yes, it has a higher speed because their momenta are equal (in opposite directions though). Since one mass is smaller, the speed has to be higher, so it will travel further before the force of friction stops it.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
14
Views
4K
Replies
13
Views
3K