Comparing momentum and impulse of sleds

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Homework Help Overview

The discussion revolves around comparing the momentum and impulse of two sleds with different masses, specifically one sled with mass 2m and another with mass m. The original poster is attempting to establish a relationship between their momenta, given that their kinetic energies are the same at the finish line.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster considers using the formulas for momentum (p=mv) and the relationship between force and momentum (sigmaF=dp/dt) but struggles to connect them effectively. Another participant questions whether additional information about the sleds was provided, such as their kinetic energies or motion specifics.

Discussion Status

Participants are exploring the relationship between momentum and kinetic energy, with one suggesting a mathematical relation that connects these concepts. There is an ongoing examination of the problem's parameters, particularly regarding the sleds' kinetic energies being equal.

Contextual Notes

It is noted that the kinetic energies of the sleds are the same at the finish line, which may influence the analysis of their momenta. The discussion is still open, with no consensus reached on the approach to take.

marcuss
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1. The one sled has a mass of 2m and the other sled has a mass of m show that sled one with mass 2m has a momentum of root2 compared to the sled with mass m.

The only formulas that i could think to use were p=mv and sigmaF=dp/dt and i can't seem to find a way to relate them to get an answer so any help would be nice ty.
 
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marcuss said:
1. The one sled has a mass of 2m and the other sled has a mass of m show that sled one with mass 2m has a momentum of root2 compared to the sled with mass m.

The only formulas that i could think to use were p=mv and sigmaF=dp/dt and i can't seem to find a way to relate them to get an answer so any help would be nice ty.


Was that the entire problem, or were you told anything else about the sleds? For example were their kinetic energies related somehow, or did they tell you something about their motion?
 
their kinetic energies were the same at the finish line
 
Kinetic energy = 1/2*m*v^2 = 1/2*(m^2*v^2)/m = 1/2*p^2/m
Use this relation between energy and momentum.
 

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