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A force F=-K(yhati+xhatj) (where K is a ...

A force `F=-K(yhati+xhatj)` (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 F on the particle is

A

`-2ka^(2)`

B

`2ka^(2)`

C

`-ka^(2)`

D

`ka^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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D MUKHERJEE-KINEMATICS, FORCES-Revision Exercise
  1. A force F=-K(yhati+xhatj) (where K is a positive constant) acts on a p...

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  2. Take the z-axis as vertical and the xy plance as horizontal .A particl...

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  3. Two particles moving initially in the same direction undergo a one- di...

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  4. A particle of mass m moving with kinetic energy K, makes a head - on e...

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  5. Aspring of weight W and force constant k is suspended in a horizontal...

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  6. A man balances himself in a horizontal position by pushing his hands a...

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  7. Two blocks A and b are placed on a table and joined by a string . The ...

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  8. A train of length 200m switches on its heat when it starts moving wio...

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  9. A stick is thrown in the air and lands at some distance from the throw...

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  10. A Car stats from rest and moves on a surface on which the coeffcient w...

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  11. A unifrom chain of mass m hannges from a light pulley ,with unequal le...

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  12. A ball of mass m is dropped onto a floor from a certain height. The co...

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  13. An insect of mass m is initially at one end of a stick of length L and...

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  14. Three ships A, B and C are in motion. The motion of A as seen by B is ...

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  15. A point moving along the x-direction starts from rest at x=0 and comes...

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  16. A man of mass m stands on a long flat car of mass M , moving with velo...

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  17. A small body b starts from rest at the hightest point A of a large fi...

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  18. A spring of force constant K rests on a smooth floor, with one end fix...

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  19. A variable force F acts on a body which is free to move. The displacem...

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  20. A cannon shell 1 and 2 km away from the cannon. A second shell, fired ...

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  21. A unifrom heavy chain is placed on a table with a part of it hanging o...

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