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A particle has a displacement of vecs=ha...

A particle has a displacement of `vecs=hati+2hatj+hatk` metre under the action of a force `vec F =3hati -2hatj+5hatk`. What is the work done ?

A

4 J

B

5 J

C

3 J

D

8 J

Text Solution

Verified by Experts

The correct Answer is:
A

`W = vec F cdot vecs =(3hati -2hatj + 5hatk) cdot (hati +2hatj +hatk)`
`=3-4+5=4 J`
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MARVEL PUBLICATION-VECTORS-MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL)
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  2. The work done by a force is defined by W= vec F cdot vec S cdot It is ...

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  3. A particle has a displacement of vecs=hati+2hatj+hatk metre under the ...

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  4. The angle between two vectors vec P and vec Q of magnitudes 3 and 5 un...

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  5. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

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  6. Given : vec A =2hati +3hatj and vec B = hati +hatj. What is the compon...

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  7. A particle moves with a velocity v=(5hati-3hatj + 6hatk) ms^(-1) under...

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  8. The conditions under which the vector vec P + vec Q and vec P - vec Q ...

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  9. Work done by a force in displacing a body is an example of

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  10. What is the angle between two vectors vec P =2hati +3hatj +hatk and ve...

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  11. A student was asked to find the work done by taking the dot product of...

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  12. What is the angle between two vectors vec P =2hati +3hatj +hatk and ve...

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  13. If vec P = a(1) hati +a(2) hatj and vec Q =b(1) hati+b(2)hatj are perp...

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  14. If vec A=hati +7hatj +hatk and vec B =2 hati+3hatj +4hatk then the com...

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  15. A body constrained to move in y direction is subjected to a force give...

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  16. The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3ha...

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  17. An engine exerts a force F=(20hati-3hatj+5hatk) N and moves with veloc...

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  18. A force (3 hat(i)+4 hat(j)) acts on a body and displaces it by (3 hat(...

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  19. A particle moves with a velocity of 6hati-4hatj+3hatk m//s under the a...

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

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