If a force F -7 -6 -2 k- N and velocity v -6 -k- m - s- then the instantaneous power isA- 42 wattsB- 46 wattsC- 44 wattsD- 57 watts

We know that instantaneous Power P = F. nbsp;v Given, nbsp; F =( 7 î 6 ĵ + 2 k̂) N v = (6 î + k̂) m/s, ∴ nbsp;instantaneous power (P) = (7 î 6 ĵ + ...

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Standard XII

Physics

Average and Instaneous Power

If a force F ...

Question

If a force $\to F = (7^i - 6^j + 2^k) N$ and velocity $\to v = (6^i +^k) m/s,$ then the instantaneous power is

46 watts

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42 watts

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57 watts

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44 watts

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Solution

The correct option is D $44 watts$
We know that instantaneous Power $P = \to F . \to v$

Given,
$\to F = (7^i - 6^j + 2^k) N$
$\to v = (6^i +^k) m/s,$

$∴$ instantaneous power
$(P) = (7^i - 6^j + 2^k) . (6^i +^k)$
$= 42 + 2 = 44 watts .$

Hence option D is the correct answer

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Average and Instaneous Power

Standard XII Physics

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If a force →F =(7 ^i−6 ^j+2 ^k) N and velocity →v=(6 ^i+^k) m/s, then the instantaneous power is

The correct option is D 44 wattsWe know that instantaneous Power P=→F.→v Given, →F =(7 ^i−6 ^j+2 ^k) N →v=(6 ^i+^k) m/s, ∴ instantaneous power (P)=(7 ^i−6 ^j+2 ^k).(6 ^i+^k) =42+2=44 watts. Hence option D is the correct answer

If a force $\to F = (7^i - 6^j + 2^k) N$ and velocity $\to v = (6^i +^k) m/s,$ then the instantaneous power is

The correct option is D $44 watts$
We know that instantaneous Power $P = \to F . \to v$

Given,
$\to F = (7^i - 6^j + 2^k) N$
$\to v = (6^i +^k) m/s,$

$∴$ instantaneous power
$(P) = (7^i - 6^j + 2^k) . (6^i +^k)$
$= 42 + 2 = 44 watts .$

Hence option D is the correct answer