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chem engineer
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Consider the motion of an object on the xy-plane. Show that the force whose x and y- components are respectivley Fx= (3N/m)y and Fy= 0 is not conservative.
What is the condition for a force to be conservative? Does this force meet that condition?chem engineer said:Consider the motion of an object on the xy-plane. Show that the force whose x and y- components are respectivley Fx= (3N/m)y and Fy= 0 is not conservative.
Johannes said:I can't make much sense of that either, however, a conservative force is a force that convserves mechanical work, so the force can not be "lost". For example gravitational force. If you have a ball and trow it down a building ( the building in physics haven in vacuum and stuff... ) and then put it back to the exact same point, the net work done by the gravitational force is 0. In consequence it does not matter if you shoot it to the moon in between, or how much other forces move it around. A non conservative force is friction for example.
Even if the question was not copied verbatim, it is perfectly well posed and makes sense to me. In any case, the question is most definitely answerable.DyslexicHobo said:What you said doesn't really make much sense.
chem engineer said:Consider the motion of an object on the xy-plane. Show that the force whose x and y- components are respectivley Fx= (3N/m)y and Fy= 0 is not conservative.
It's funny that all of us didn't say that:chem engineer said:Its funny you guys said this question makee no sense, its copied directly from this terrible book my professor uses.
It's also funny that you have failed to respond to our questions:Hootenanny said:Even if the question was not copied verbatim, it is perfectly well posed and makes sense to me. In any case, the question is most definitely answerable.
Hootenanny said:What is the condition for a force to be conservative? Does this force meet that condition?
HallsofIvy said:So, back to you, chem engineer. What is the definition of "conservative" force. Then how does this force NOT satisfy that definition?
The xy-plane is a coordinate system used to represent motion in two dimensions, specifically in the horizontal (x) and vertical (y) directions. In force components, the xy-plane is used to break down a force vector into its x and y components.
Conservative forces are those that do not dissipate energy and have a potential energy function associated with them. Non-conservative forces, on the other hand, dissipate energy and do not have a potential energy function. In terms of force components, conservative forces do not affect the total work done, while non-conservative forces do.
To calculate the x and y components of a force vector, you can use trigonometry. The x component is equal to the magnitude of the force multiplied by the cosine of the angle between the force and the x-axis. The y component is equal to the magnitude of the force multiplied by the sine of the angle between the force and the y-axis.
Yes, non-conservative forces can affect the total mechanical energy of a system. These forces dissipate energy, which can decrease the total mechanical energy of a system. This can be seen in situations where friction or air resistance is present.
The angle of a force vector determines the ratio of its x and y components. As the angle increases, the x component will decrease while the y component increases. When the angle is 90 degrees, there is no x component and the entire force is in the y direction. When the angle is 0 degrees, there is no y component and the entire force is in the x direction.