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A force of 2 hati + 3 hatj + 4 hatk N ac...

A force of `2 hati + 3 hatj + 4 hatk N` acts on a body for `4` second and produces a displacement of `(3 hati + 4 hatj + 5 hatk)m`. The power used is

A

`9.5 W`

B

`7.5 W`

C

`6.5 W`

D

`4.5 W`

Text Solution

Verified by Experts

The correct Answer is:
A
`P = (vecF. vec s)/(t) = ((2 hati + 3 hatj + 4 hatk).(3 hati + 4 hatj + 5 hatk))/(4)`
`= (38)/(4) = 9.5 W`
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Knowledge Check

  • A force of (2hati + 3hatj + 4hatk) N acts on a body for 19 s and produces a displacement of (3hati + 4hatj + 5hatk)m . The power consumed is

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    2 W
    B
    6 W
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    D
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    9.5 W
    B
    7.5 W
    C
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    D
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  • A force of (3 hati +4 hatj +5 hatk ) N acts on a body for 5 seconds. produces a displacement of (2hati+3hatj+4hatk) m. The power used is:

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