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 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?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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