A force
where K is a positive constant, acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a,0) and then parallel to the y-axis to the point (a, a). The total work done by the force
on the particle is
Text Solution
Verified by ExpertsThe correct answer is:
C
dW=
.
where
=
+ 
And
= – K (
+
)
dW = – K (ydx + xdy) = – K d (xy)
W =
= – K
= – K [xy] 
W = – Ka 2
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A force F = x 2 y 2 i + x 2 y 2 j (N) acts on a particle which moves in the XY plane.
Calculate the forces F(y) associated with the following one-dimensional potential energies:
The potential energy function of a particle in a region of space is given as:
U = (2x 2 + 3y 3 + 2z…
Force acting on a particle in a conservative force field is:
(i)
(ii)
(iii)
The potential energy function for a particle executing linear simple harmonic motion is given by U …
The potential energy for a force field is given by U (x, y) = sin (x + y). The force acting on the…