What is the kinetic energy of the center of mass

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Homework Help Overview

The problem involves two carts being pushed toward each other on a low-friction track, with the goal of determining the kinetic energy of the center of mass of the system. The subject area pertains to mechanics, specifically the concepts of kinetic energy and center of mass.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial position of the center of mass and consider the total momentum vector of the system. There is uncertainty about how to calculate the speed needed for the kinetic energy formula.

Discussion Status

The discussion is ongoing, with participants exploring the initial conditions and questioning the assumptions related to the center of mass position. Some guidance is suggested regarding the momentum vector, but no consensus has been reached on the calculations or interpretations.

Contextual Notes

Participants express uncertainty about the initial position of the center of mass and the implications of time on its position. There is a lack of clarity on how to proceed with the calculations given the provided information.

emily081715
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Homework Statement


Two 0.50-kg carts are pushed toward each other from starting positions at either end of a 6.0-m low-friction track. Each cart is pushed with a force of 2.9 N , and that force is exerted for a distance of 1.0 m.
What is the kinetic energy of the center of mass of the system?

Homework Equations



=1/2mvcm^2

The Attempt at a Solution


1/2(0.5)(2.4/6.0)
=0.04
i don't know how to find speed so i know this is wrong
 
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Where is (what is the position of) the center of the mass at the beginning?
(It might help to find the total momentum vector of the system.)
 
robphy said:
Where is (what is the position of) the center of the mass at the beginning?
(It might help to find the total momentum vector of the system.)
i'm not sure, wouldn't it just be 3 m
 
Where is the center of mass (say) 0.1s later?
 

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