Find work done given time, acceleration, and mass

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Homework Help Overview

The problem involves calculating the net work done on a box with a mass of 6.0 kg that is accelerated from rest at a rate of 2.2 m/s² over a time period of 5.9 seconds. The original poster is exploring the relationship between force, distance, and work in the context of classical mechanics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the force using F=ma and expresses uncertainty about finding the distance (d) required for the work calculation. Some participants suggest using kinematic equations to determine d or the final velocity (vf) and reference the work-energy theorem.

Discussion Status

The discussion is ongoing, with participants exploring different kinematic equations to find the distance and questioning the consistency of their results. There is an indication that some guidance has been provided regarding the use of kinematic equations and the work-energy theorem.

Contextual Notes

Participants are navigating potential confusion between speed and distance calculations, as well as the implications for work done. There is a lack of explicit consensus on the correct approach to resolve the discrepancies in their calculations.

daltomagne
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a box with a mass of 6.0 kg is accelerated from rest by a force across a floor at a rate of
2.2 m/s^2 for 5.9 s. Find the net work done on the box

m=6.0kg
a=2.2m/s^2
t=5.9 s
a=0 degrees

i know W=Fdcos(a)
and F=ma


so,
F=6.0kg*2.2m/s^2=13.2N
W=13.2N*d*cos0=13.2N*d

I am a little unsure as how to find d though. would it be one of the kinematic equations?
 
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hi daltomagne! :smile:

(try using the X2 icon just above the Reply box :wink:)
daltomagne said:
a box with a mass of 6.0 kg is accelerated from rest by a force across a floor at a rate of
2.2 m/s^2 for 5.9 s. Find the net work done on the box

I am a little unsure as how to find d though. would it be one of the kinematic equations?

That's right. :smile:

You can either use one of the standard constant acceleration equations to find d, or you can use another of them to find vf, and then apply the work-energy theorem ( work done = change in mechanical energy).
 
so I'm thinking v=vi+at and that gives me vi=-12.98m/s
and
xf=xi+vit+1/2at2?
but that gives me a value for x=-38.3 m?

so something isn't adding up
 
where's the contradiction? :confused:

one figure is speed, the other is distance, they should both give you the same work. :wink:
 

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