Any hints on how to do I find the x component?

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Homework Statement



force.png


Homework Equations



Work = F xcomponent * delta x

The Attempt at a Solution


The force is given as a resultant since it does not give a specificed x or y component. Any hints on how to do I find the x component?
 
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Doc Al said:
It states that the force points in the x direction.

if that's the case the force would 33.5N , the work will be (33.5N)(16m) = 537 J which was wrong. I do not get where did I go wrong if all the information is given.
 
warnexus said:
if that's the case the force would 33.5N , the work will be (33.5N)(16m) = 537 J which was wrong. I do not get where did I go wrong if all the information is given.
The force is not constant in magnitude. It increases from 0 (at x=0). You'll need to use integration.
 
haruspex said:
The force is not constant in magnitude. It increases from 0 (at x=0). You'll need to use integration.

if I have to use integration on force then it will be (2(ax^(5/2))/5 .

plugging in the value of a and x= 16m I got 214.6 J <- which is wrong. where did I go wrong?
 
warnexus said:
if I have to use integration on force then it will be (2(ax^(5/2))/5 .
That looks OK.
plugging in the value of a and x= 16m I got 214.6 J <- which is wrong.
Double check that arithmetic.