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A particle moves from position 3hati+2ha...

A particle moves from position `3hati+2hatj-6hatk` to `14hati+13hatj+9hatk` due to a force `vecF=(4hati+hatj+3hatk)`N. If the displacement is in centimeter then work done will be

A

`1J`

B

`2J`

C

`3J`

D

`2.5J`

Text Solution

Verified by Experts

The correct Answer is:
A
`vecr_1=3hati+2hatj-6hatk`,`vecr_2=14hati+13hatj+9hatk`
`vecd=vecr_2-vecr_1=(11hati+11hatj+15hatk)cm`
`vecF=(4hati+hatj+3hatk)N`
`W=vecF.vecd=(44+11+45)xx10^(-2)=1J`
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Knowledge Check

  • A particle moves from position 3hati+2hatj-6hatk to 14hati+13hatj+9hatk due to a uniform force of (4hati+hatj+3hatk)N . If the displacement in meters then work done will be

    A
    `100J`
    B
    `200J`
    C
    `300J`
    D
    `250J`

  • A particle moves from position 3hati+2hatj+6hatk to 14hati+13hatj+9hatk due to a uniform force of 4hati+hatj+3hatk . Find the work done I the displacement is in metre.

    A
    16 J
    B
    64 J
    C
    32 J
    D
    48 J

  • A particle moves from position r_1=(3hati+2hatj-6hatk) m to position r_2=(14hati+13hatj+9hatk) m under the action of a force (4hati+hatj-3hatk) N , then the work done is

    A
    46 J
    B
    56 J
    C
    86 J
    D
    10 J
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