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

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In summary, the force is given as a resultant in the x direction, and the work is calculated as (force) x (distance). However, the force is not constant and increases from 0, so integration must be used to find the work. After plugging in the values, the calculated work may need to be double checked for accuracy.
  • #1
warnexus
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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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  • #2
It states that the force points in the x direction.
 
  • #3
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.
 
  • #4
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.
 
  • #5
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?
 
  • #6
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.
 

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

How do I find the x component using trigonometry?

To find the x component using trigonometry, you can use the formula x = r * cos(theta), where r is the magnitude of the vector and theta is the angle it makes with the horizontal axis.

Can I use the Pythagorean theorem to find the x component?

Yes, you can use the Pythagorean theorem to find the x component if you have the magnitude of the vector and the angle it makes with the horizontal axis. Simply use the formula x = sqrt(r^2 - y^2), where r is the magnitude of the vector and y is the y component.

Is it possible to find the x component without knowing the angle?

Yes, it is possible to find the x component without knowing the angle if you have the magnitude of the vector and the y component. You can use the formula x = sqrt(r^2 - y^2), where r is the magnitude of the vector and y is the y component.

Can I use vector addition to find the x component?

Yes, you can use vector addition to find the x component if you have the x components of two or more vectors. Simply add the x components together to get the x component of the resultant vector.

Are there any other methods to find the x component?

Yes, there are other methods to find the x component, such as using the dot product of two vectors or using the law of cosines. It is important to choose the method that is most appropriate for the given problem.

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