Home Physics Work, Energy, Power and Collision Mix A force (where K is a positive constant) ac…
Physics Work, Energy, Power and Collision Mix MCQ (Single Correct)

A force (where K is a positive constant) acts on a particle moving in the xy-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 F on the particles is

A
B
C
D

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The correct answer is:
C

While moving from (0,0) to (a,0)

Along positive x-axis, y = 0

i.e. force is in negative y-direction while displacement is in positive x-direction.

∴ ∴

Because force is perpendicular to displacement

Then particle moves from to along a line parallel to y-axis during this

The first component of force, will not contribute any work because this component is along negative

x-direction while displacement is in positive y-direction (a,0) to (a, a). The second component of

force i.e. will perform negative work

∴ ∴ =

So net work done on the particle

=

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