How to calculate conservative power

1. Non conservative forces include friction force and magnetic force< br />，
the work done by a nonconservative force is equal to the force * path, regardless of the initial position
the work done by the conservative force is related to the initial position of the object, work = f * displacement
for example,
if gravity is a conservative force, and the object falls for H and then returns to the origin, then the work done by gravity is 0,
but the work done by air resistance is
f * 2h, because the work done by the non conservative force is only related to the path and has nothing to do with the initial position..

2. Wp=-"8747;(r,)Fdr
-k/r=-"8747;(r,)Fdr
k/r="8747;(r,)Fdr
k/r="8747;(r,)(k&35;39;/ r&35;178;) dr
k/r=-k&35;39;/ r (r,-)
k/r=k&35;39;/ r
k&35;39;= k
F=k/r&35;178;

3. The so-called internal force and external force are only related to the content of your research, not a strict classification of forces. For example, we generally regard gravitation as an external force, but when dealing with the motion between the sun and the earth, the gravitation between them is the internal force.

4. The curl of the conservative field is 0
the curl of the force field is
0 (the specific matrix calculation is required), so it is a conservative field

5. The specific meaning of conservative force is: if you do a work, it has nothing to do with the path you complete this work, and it is only related to your initial and final position. This force is the conservative force, and gravity is this force

6. That is determined by the zero potential point
that C is the potential energy of the starting point of your integral (if the starting point is the zero potential point, then C is 0)

7. Dunhuang

8. The force on a particle is f = xyi + XYJ. To prove that the force is non conservative, we can see whether the work is related to the path. If it is non conservative, let's assume that the particle is from point (0,0) to point (x, y),
Design two routes to let the particle go: [1] first from (0,0) to (x, 0) and then from (x, 0) to (x, y) 2 From (0,0) to (0, y) and then from (0, y) to (x, y)

first calculate the first route [1]: work w = ∫ f · Dr = ∫ xydx + ∫ xydy,
now calculate the integral by sections and add it up ---
1. First from (0,0) to (x, 0), then y = 0 is a constant, and Dy = 0,
∫ xydx + ∫ xydy = ∫ x · 0dx + ∫ x · 0.0 = 0,
2. Then from (x, 0) to (x, y), then x is a constant, DX = 0,
∫xydx+∫xydy=∫xy·0+∫xydy=∫xydy=xy²/ Therefore, the integral of the whole process is w = XY & # 178/ 2.

then calculate the second route [2]: work w = ∫ f · Dr = ∫ xydx + ∫ xydy,
now calculate the integral by sections and add up --
1. First from (0,0) to (0, y), then x = 0 is a constant, and DX = 0,
∫ xydx + ∫ xydy = ∫ 0 · y · 0 + ∫ 0 · YDY = 0,
2. Then from (0, y) to (x, y), then y is a constant, dy = 0,
∫xydx+∫xydy=∫xydx+∫xy·0=∫xydx=yx²/ 2,
3. Therefore, the integral of the whole process is w = YX & # 178/ 2.

it can be seen that the work done by force F = xyi + XYJ is related to the path, so this force is not conservative.

9. 1. Conservative force features: work is related to the starting point and the end point, and has nothing to do with the path, combined with the definition of work: there is displacement in the direction of vertical force, and work is zero. Many examples can be cited
2. From m to m, force is a variable force, and variable force work requires calculus knowledge, so high school teachers generally only tell you the conclusion.

10. The conservative force is equal to the opposite direction of the gradient of potential energy:
U (x, y) = (AX ^ 2 / 2 + BX ^ 3 / 3) y ^ 2, where the "+" sign is added
F = - grad u = & lt- Ax + 3Bx^2) y^2, (Ax^2/2 + Bx^3/3) 2y >