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A force (3hati+4hatj) newton acts on a b...

A force `(3hati+4hatj)` newton acts on a boby and displaces it by `(3hati+4hatj)` metre. The work done by the force is

A

10J

B

12 J

C

19J

D

25J

Text Solution

Verified by Experts

The correct Answer is:
D
`W=vecF.Deltavecr=(3hati+4hatj).(3hati+4hatj)=9+16=25J`
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ALLEN-BASIC MATHS-EXERCISE-1
  1. Which of the following sets of concurrent force may be in equilibrium?

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  2. Two vectors, both equal in magnitude, have their resultant equal in ma...

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  3. A force (3hati+4hatj) newton acts on a boby and displaces it by (3hati...

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  4. The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk, are perpe...

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

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  6. Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and ...

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  7. The direction of the angular velocity vector is along

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  8. What is the projection of 3hati+3hatj+8hatk) is perpendicular to the v...

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  9. If a vector (2hati+3hatj+ 8hatk) is perpendicular to the vector (4hatj...

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  10. Square of the resultant of two forces of equal magnitude is equal to t...

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  11. The vector vecA and vecB are such that |vecA+vecB|=|vecA-vecB|. The an...

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  12. If |hatAxxvecB|=sqrt(3)vecA,vecB, then the value of |vecA+vecB| is :

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  13. if|vecAxxvecB|=|vecA.vecB|, then angle between vecA and vecB will be

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  14. A unit radial vector vecr makes agles of a=30^(@) relative to the x-ax...

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  15. If hati,hatj and hatk represent unit vectors along the x,y and z-axes ...

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  16. Find the torque (vectau=vecrxxvecF) of a force vecF=-3hati+hatj+3hatk ...

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  17. Six vector vec(a) through vec(f) have the magnitudes and direction ind...

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  18. If vectors vecA and vecB are such that |vecA+vecB|= |vecA|= |vecB| the...

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  19. If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively...

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  20. Two vectors vecP and vecQ that are perpendicular to each other are ...

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