Question

Is the force F=(-2xy+yz)i+(-x^(2)+xz-z)j+(xy-y)k conservative? Find its potential energy if conservative. Find the work done by it in a closed path C and in an open circular path C1 (Figure 5a). (b) Is F=(5x^(2)+xy)i+(10xy+y^(2))j conservative? Find the work done by it in a closed path (Figure 5b). (c) A plane force field has magnitude prx and is directed towards O. Is it conservative? Find the work done by it for the three paths ACB, ADB, and AB shown in (Figure 5c). In each case, the point of application of the force starts at point A and ends at point B. (d) Is the force F=(c1phi^(2)r+c2)e_(r)+(c3(phi^(2))/(r))e_(phi) over the path ABCD shown in Figure 5d, where r=R^(2)+c4(phi -phi1) for portion CD and ci are constants. Is this force conservative? (e) Is the force F=c1r^(2)e_(r)+c2e_(phi)+c3ze_(z) conservative? Find the work done by it when its material point of application moves over a conical helix: r=(r0-alphaphi)e_(r)+etaphi e_(z) from phi=0 to phi=pi. [Only parts (a) and (d) to be discussed in tutorial class]. [(a) Yes, x^(2)y-(xy-y)z,0,-6 (d) No, for ABc3(phi1^(3))/(3), for BCc1phi1^(2)(R2^(2)-R1^(2))/(2)+c2(R2-R1), for CD[c1c4(R2-c4phi1)+c3)(phi2^(3)-phi1^(3))/(3)+c1c4^(2)(phi2^(4)-phi1^(4))/(4)] 5. Is the force E=-2xy+yzi+-x+xz-zj+xy-yk conservative? Find its potential energy if conservative. Find the work done by it in a closed path C and in an open circular path Ci(Figure 5a.b) Is F=5x+xyi+10xy+yj conservative? Find the work done by it in a closed path (Figure 5b). (c A plane force field has magnitude prx and is directed towards O. Is it conservative? Find the work done by it for the three paths ACB, ADB, and AB shown in (Figure 5c). In each case, the point of application of the force starts at point A and ends at point B. (d Is the force E=(cr+c2)e+(c/r)e over the path ABCD by it when its material point of application moves over a conical helix: r=(ro-aer+e from =0 to=. [Only partsa andd to be discussed in tutorial class]. [a Yes, xy-xy-yz,0-6 d No, for ABc33/3, for BCc1R-R/2+c2R-R for CD[c1c4R2-c41+c3]-3/3+c1c-/4]

          Is the force F=(-2xy+yz)i+(-x^(2)+xz-z)j+(xy-y)k conservative? Find its potential energy if conservative. Find the work done by it in a closed path C and in an open circular path C1 (Figure 5a). (b) Is F=(5x^(2)+xy)i+(10xy+y^(2))j conservative? Find the work done by it in a closed path (Figure 5b). (c) A plane force field has magnitude prx and is directed towards O. Is it conservative? Find the work done by it for the three paths ACB, ADB, and AB shown in (Figure 5c). In each case, the point of application of the force starts at point A and ends at point B. (d) Is the force F=(c1phi^(2)r+c2)e_(r)+(c3(phi^(2))/(r))e_(phi) over the path ABCD shown in Figure 5d, where r=R^(2)+c4(phi -phi1) for portion CD and ci are constants. Is this force conservative? (e) Is the force F=c1r^(2)e_(r)+c2e_(phi)+c3ze_(z) conservative? Find the work done by it when its material point of application moves over a conical helix: r=(r0-alphaphi)e_(r)+etaphi e_(z) from phi=0 to phi=pi. [Only parts (a) and (d) to be discussed in tutorial class]. [(a) Yes, x^(2)y-(xy-y)z,0,-6 (d) No, for ABc3(phi1^(3))/(3), for BCc1phi1^(2)(R2^(2)-R1^(2))/(2)+c2(R2-R1), for CD[c1c4(R2-c4phi1)+c3)(phi2^(3)-phi1^(3))/(3)+c1c4^(2)(phi2^(4)-phi1^(4))/(4)] 5. Is the force E=-2xy+yzi+-x+xz-zj+xy-yk conservative? Find its potential energy if conservative. Find the work done by it in a closed path C and in an open circular path Ci(Figure 5a.b) Is F=5x+xyi+10xy+yj conservative? Find the work done by it in a closed path (Figure 5b). (c A plane force field has magnitude prx and is directed towards O. Is it conservative? Find the work done by it for the three paths ACB, ADB, and AB shown in (Figure 5c). In each case, the point of application of the force starts at point A and ends at point B. (d Is the force E=(cr+c2)e+(c/r)e over the path ABCD by it when its material point of application moves over a conical helix: r=(ro-aer+e from =0 to=. [Only partsa andd to be discussed in tutorial class]. [a Yes, xy-xy-yz,0-6 d No, for ABc33/3, for BCc1R-R/2+c2R-R for CD[c1c4R2-c41+c3]-3/3+c1c-/4]

is the force f 2xyyzi x2xz zjxy yk conservative find its potential energy if conservative find the work done by it in a closed path c and in an open circular path c1 figure 5a b is f5x2xyi10 30013

Added by Milagros A.

Question

Please give Ace some feedback