Teaching UP PGT Mock Test Series 2024 Physical Sciences Mathematical Methods of Physics Vector Algebra and Vector Calculus
Let F be any force field given by \(\mathbf{F} = \langle e^y, xe^y + \sin z, y \cos z \rangle.\) An object moves under this force field from (0, 0, 0) to (1, -1, 3).The work done by this force field on an object will be:
1
\( e^{-1} - \sin(3) \)
2
\( e - \sin(3) \)
3
\( 1 - \sin(3)/e \)
4
0