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The work done by a force vec(F)=(-6x^(3)...

The work done by a force `vec(F)=(-6x^(3)hat(i))` N in displacing a particle from x = 4m to x = - 2m is

A

`360 J`

B

`240 J`

C

`-240 J`

D

`-360 J`

Text Solution

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The correct Answer is:
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Knowledge Check

  • The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

    A
    12 J
    B
    `-36 J`
    C
    36J
    D
    `-12J`

  • A force F acting on a particle varies with the position x as shown in the graph. Find the work done by the force in displacing the particle from x =-a to x = +2a . .

    A
    `(3ab)/(2)`
    B
    `(4ab)/(2)`
    C
    `(2)/(3ab)`
    D
    `(2)/(4ab)`

  • A force of F=(0.5x+12)N acts on a particle. If x is in metre, calculate the work done by the force during the displacement of the particle from x = 0 to x = 4 m

    A
    128 J
    B
    80 J
    C
    64 J
    D
    52 J
    • NARAYNA-WORK , ENERGY & POWER -EXERCISE -1 (H.W)
    1. The work done by a force vec(F)=(-6x^(3)hat(i)) N in displacing a part...

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    2. A particle is displaced from a position (2 vec i - vec j + vec k) metr...

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    3. A particle moves along the X-axis from x=0 to x=5 m under the influenc...

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    4. If vec F =2 hat i + 3hat j +4hat k acts on a body and displaces it by ...

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    5. A force of 1200 N acting on a stone by means of a rope slides the ston...

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    6. A man weighing 80 kg climbs a staircase carrying a 20 kg load. The st...

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    7. The work done by a force vec F = 3 hat i -4hat j +5hat k displaces the...

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    8. A force vec F=(6 hati -8 hatj)N, acts on a particle and displaces it o...

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    9. A lawn roller is pulled along a horizontal surface through a distance ...

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    10. An object is displaced from position vector vec(r(1)) = (2hat(i) + 3 h...

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    11. When momentum of a body increases by 200% its KE increases by

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    13. If the kinetic energy of a body increases by 125%, the percentage incr...

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    14. A shot is fired at 30^@ with the vertical from a point on the ground w...

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    16. The mass of a simple pendulum bob is 100 gm. The length of the pendulu...

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    17. A body starts from rest and moves with uniform acceleration. What is t...

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    18. A liquid of specific gravity 0.8 is flowing in a pipe line with a spee...

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    19. A 60 kg boy lying on a surface of negliguble friction throws horizonta...

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