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If a force vec(F) = (vec(i) + 2 vec(j)+v...

If a force `vec(F) = (vec(i) + 2 vec(j)+vec(k)) N` acts on a body produces a displacement of `vec(S) = (4vec(i)+vec(j)+7 vec(k))m`, then the work done is

A

`9J`

B

`13 J`

C

`5J`

D

`1J`

Text Solution

Verified by Experts

The correct Answer is:
B
`W = vec(F).vec(S)`
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Knowledge Check

  • A force vec F = (5 vec i+ 3 vec j+ 2 vec k) N is applied over a particle which displaces it from its origin to the point vec r=(2 vec i- vec j) m . The work done on the particle in joules is.

    A
    `+ 10`
    B
    `+ 7`
    C
    `-7`
    D
    `+ 13`

  • A force F = (2 vec i + vec j + vec k)N is acting on a particle moving with constant velocity vec v = (vec i + 2 vec j + vec k)m/s . Power delivered by force is

    A
    4 watt
    B
    5 watt
    C
    6 watt
    D
    8 watt

  • If vec F =2 hat i + 3hat j +4hat k acts on a body and displaces it by vec S =3 hat i + 2hat j + 5 hat k , then the work done by the force is

    A
    12 J
    B
    20 J
    C
    32 J
    D
    64 J
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