SaraNextGen.Com

A force  (where  is a positive constant) acts on a particle moving in the -plane. Starting from the origin, the particle is taken along the positive -axis to the point ( ) and then parallel to the -axis to the point ( ). The total work done by the force  on the particles is

a)

b)

c)

d)



Question ID - 52101 | SaraNextGen Top Answer

A force  (where  is a positive constant) acts on a particle moving in the -plane. Starting from the origin, the particle is taken along the positive -axis to the point ( ) and then parallel to the -axis to the point ( ). The total work done by the force  on the particles is

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

While moving from (0,0) to ( )

Along positive -axis,

., force is in negative - direction while displacement is in positive -direction

Because force is perpendicular to displacement

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

The first component of force,  will not contribute any work because this component is along negative -direction  while displacement is in positive -direction  to . The second component of force  will perform negative work

So net work done on the particle

127 votes


127