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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)`

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The correct Answer is:
C
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TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
  1. Which of the following relation is not correct?

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  2. What is the value of linear velocity. If vec(omega)=3hat(i)-4hat(j)+ha...

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  3. If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...

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  4. The moment of the force, vec(A)xxvec(B)=vec(B)xxvec(A), at (2,0,-3), a...

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  5. A force vec F = prop hat i + 3 hat j + 6 hat k is acting at a point ve...

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  6. The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) +...

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  7. Two adjacent sides of a parallelogram are respectively by the two vect...

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  8. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

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  9. The component of a vector r along X-axis will have maximum value if

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  10. If |vecA xx vecB| = sqrt3 vecA *vecB, then the value of |vecA + vecB| ...

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  11. Sum of magitude of two fores is 25 N. The resultant of these forces is...

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  12. Consider a particle on which constant forces vec(F) = hat(i) + 2hat(j)...

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  13. A particle moves from a point (-2hat(i) + 5hat(j)) " to" " " (4hat(j) ...

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  14. A force F=-K(yhati+xhatj) (where K is a positive constant) acts on a p...

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  15. The vector sum of two forces is perpendicular to their vector differen...

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  16. Which of the following statement is true?

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  17. If vec(a) and vec(b) are two vectors then the value of (vec(a) + vec(b...

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  18. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

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  19. The vector vec(A),vec(B) and vec( C ) are such that |vec(A)|=|vec(B)|...

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  20. The position of a particle is given by vec(r) = 3that(i) - 4t^(2)hat(j...

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