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A body is acted upon by a force vec(F)=-...

A body is acted upon by a force `vec(F)=-hati+2hatj+3hatk`. The work done by the force in displacing it from (0,0,0) to (0,0,4m) will be -

A

12J

B

10J

C

8J

D

6J

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Knowledge Check

  • A mass of 1 kg is acted upon by a single force F=(4hati+4hatj)N . Under this force it is displaced from (0,0) to (1m,1m). If initially the speed of the particle was 2 ms^(-1) , its final speed should be

    A
    `6 ms^(-1)`
    B
    `4.5 ms^(-1)`
    C
    `8 ms^(-1)`
    D
    `4 ms^(-1)`

  • The gravitational force in a region is given by, vec(F)=ayhati+axhatj . The work done by gravitational force to shift a point mass m from (0,0,0) is (x_(0),y_(0),z_(0)) is

    A
    ma`x_(0) y_(0)z_(0)`
    B
    ma`x_(0)y_(0)`
    C
    -ma`x_(0)y_(0)`
    D
    `0`

  • A force of vecF=2xhati+2hatj+3z^2hatk N is acting on a particle. Find the work done by this force in displacing the body from (1, 2, 3)m to (3, 6, 1)m .

    A
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    B
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    C
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    D
    (d) `1J`

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