- #1
Anza Power
- 10
- 0
We have a force which changes according to what point you're at, e.g: f=(4x²,3z-2y,2z), we need to calculate the work done by this force from point (0,0,0) to (2,1,3) on different curves
I don't want an answer I just want an explanation for how this is done, this is what I understand so far:
If we want to calculate the curve (a , a²/4 , 3a³/8), aren't we just supposed to put in the equations of the track as x y z in the force equation and do an integral for a from 0 to 2? or do we have to multiply it by the differential of the curve equation? that's the part I'm not getting...
f=(4x²,3z-2y,2z)
f=(4a² , 9a³/8-a²/2, 3a³/4)
I integrated that from a=0 to a=2 but it turned out wrong...
Also, if a force does the same amount of work on two different tracks, does that mean it's conservative for all tracks?
I don't want an answer I just want an explanation for how this is done, this is what I understand so far:
If we want to calculate the curve (a , a²/4 , 3a³/8), aren't we just supposed to put in the equations of the track as x y z in the force equation and do an integral for a from 0 to 2? or do we have to multiply it by the differential of the curve equation? that's the part I'm not getting...
f=(4x²,3z-2y,2z)
f=(4a² , 9a³/8-a²/2, 3a³/4)
I integrated that from a=0 to a=2 but it turned out wrong...
Also, if a force does the same amount of work on two different tracks, does that mean it's conservative for all tracks?
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