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A force (3 hat(i)+4 hat(j)) acts on a bo...

A force `(3 hat(i)+4 hat(j))` acts on a body and displaces it by `(3 hat(i)+4 hat(j))m`. The work done by the force is

A

25 J

B

20 J

C

16 J

D

8 J

Text Solution

Verified by Experts

The correct Answer is:
A
`W = vec F cdot vec S = (3hati + 4hatj) cdot (3hati +4hatj)`
`therefore W =9+16=25 J`
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MARVEL PUBLICATION-VECTORS-MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL)
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  3. A force (3 hat(i)+4 hat(j)) acts on a body and displaces it by (3 hat(...

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  5. A force vec F=(2hati+2hatk) N displaces a body by an amount vec S=(2ha...

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  6. vec P and vec Q are two perpendicular vectors. If vec P = 5 hati +7hat...

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  9. What is the work done when a force vec F =2hati +3hatj-5hatk units act...

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  10. What is the anlge between vec P xx vec Q and vec Q xx vec P is

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  11. If |vec P xx vec Q|=PQ then the angle between vec P and vec Q is

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  12. If |vec P xx vec Q|=PQ then the angle between vec P and vec Q is

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  13. The magnitude of the vector product of two vectors is sqrt(3) times th...

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  14. Two vectors vec P and vec Q of the same type with tails at a point O a...

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  15. You are given two vectors vec P=2hati-3hatj-hatk and vec Q =-6hati+9ha...

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  16. If vec A cdot vec B =0 and vec A xx vec C=0, then the angle between B ...

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  17. The linear velocity of a particle on a rotating body is given by vec v...

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  18. The torque of the force vecF=(2hati-3hatj+4hatk)N acting at the point ...

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  19. O is the centre of an equilateral triangle ABC. vec F(1), vec F(2) and...

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  20. If vec(A) xx vec(B) = vec(B) xx vec(A), then the angle between A to B ...

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