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Work done by a force F=(hati+2hatj+3hatk...

Work done by a force `F=(hati+2hatj+3hatk)` acting on a particle in displacing it from the point `r_(1)=hati+hatj+hatk` to the point `r_(2)=hati-hatj+hat2k` is

A

`-3 J`

B

`-1 J`

C

zero

D

2 J

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `W=F.s=F.(s_(2)-s_(1))`
`=(hati+2hatj+3hatk).[(hati-hatj+2hatk)-(hati+hatj+hatk)]`
`=(hati+2hatj+3hatk).(-2hatj+hatk)=-4+3=-1J`
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DC PANDEY-WORK, ENERGY AND POWER-CHECK POINT 6.1
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  6. The work done by kinetic friction on a body :

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  8. A force F=(2hati-hatj+4hatk)N displaces a particle upto d=(3hati+2hatj...

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  9. A particle moves from point P(1,2,3) to (2,1,4) under the action of a ...

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  10. Work done by a force F=(hati+2hatj+3hatk) acting on a particle in disp...

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  11. A bodys constrained to more in the Y-direction ,Is subject to a force...

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  12. Force acting on a particale is (2hat(i)+3hat(j))N. Work done by this f...

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  13. A particale moves under the effect of a force F = Cs from x = 0 to x =...

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  14. A particle moves along the X-axis x=0 to x=5 m under the influence of ...

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  15. A positon dependent force ,F=8-4x+3x^(2)N acts on a small body of mass...

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  16. A force F = Ay^(2)+By+C acts on a body at rest in the Y-direction. The...

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  17. The force F acting on a particle is moving in a straight line as shown...

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  18. A position dependent force F ia acting on a particle and its force-pos...

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  19. A spring of force constant 800N//m has an extension of 5cm. The work d...

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  20. A spring 40 mm long is stretched by the application of a force. If 10 ...

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