- #1
ElDavidas
- 80
- 0
I'm going over an exam question and it reads as follows:
"Determine if the force F(r) is conservative (justify your answer) and, if it is, find a potential function in the case
[tex] F(r) = \frac {1} {||r||} (-xi + yj) [/tex]
where r = xi + yj"
I know that F = -grad V where V is the potential function. In order to find the potential function V from the above, do you integrate grad V for each unit vector i and j?
Another thing is, I'm not very sure how to manipulate the r. Would you use the quotient rule in order to find [tex] \frac {dV} {dydx} [/tex] as an example?
If somebody managed to answer the question and display their answer showing how they did it, that would be fantastic!
"Determine if the force F(r) is conservative (justify your answer) and, if it is, find a potential function in the case
[tex] F(r) = \frac {1} {||r||} (-xi + yj) [/tex]
where r = xi + yj"
I know that F = -grad V where V is the potential function. In order to find the potential function V from the above, do you integrate grad V for each unit vector i and j?
Another thing is, I'm not very sure how to manipulate the r. Would you use the quotient rule in order to find [tex] \frac {dV} {dydx} [/tex] as an example?
If somebody managed to answer the question and display their answer showing how they did it, that would be fantastic!