What is the Work Done by a Force Moving an Object from the Origin to x=5.0m?

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    Force Integral
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Homework Help Overview

The problem involves calculating the work done by a force as an object moves along the x-axis from the origin to a specified position. The force is defined as a function of position, specifically F = (4xi + 3yj) N, and the focus is on the x-component for the work calculation.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the evaluation of the integral for work, with one participant questioning the extraction of the constant 4 from the integral. There is also a mention of checking against a solution manual.

Discussion Status

The discussion is ongoing, with participants exploring the validity of mathematical steps and constants involved in the integral. Some guidance has been offered regarding the evaluation of the integral, but no consensus has been reached on the extraction of the constant.

Contextual Notes

There is a reference to a solution manual that may contain discrepancies, and participants are questioning the treatment of constants in the context of integration.

dareupgang
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Homework Statement


A force F = (4xi + 3yj) N acts on an object as the object moves in the x direction from the origin to x = 5.0m. Find the work W= Integral F x dr done by the force on the object


Homework Equations


W= ∫Fx dr


The Attempt at a Solution


∫4xi 2x^2 0 to 5
 
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Your work looks right, just evaluate your integral.
 
I checked the solution manual and for some reason they extracted the 4 outside the integral 4 ∫(x^2)/2 0 to 5

Is the 4 a constant ? is that why they pulled it out
 
dareupgang said:
I checked the solution manual and for some reason they extracted the 4 outside the integral 4 ∫(x^2)/2 0 to 5

Is the 4 a constant ? is that why they pulled it out


Probably a typo.
 
4 is just a number, how can it not be a constant?
 

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