A particle moves with a velocity v -5 -3 -6 k- ms -1 under the influence of a constant force F -10 -10 -20 k- N- The instantaneouspower applied to the particle isA- 140 J-s-1B- 170 J-s-1C- 200 J-s-1D- 40 J-s-1

The correct option is A P=F⃗.v⃗=(10î+10ĵ+20k̂).(5î 3ĵ+6k̂)=50 30+120=140 J s^ 1 ...

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Standard XII

Physics

Average and Instaneous Power

A particle mo...

Question

A particle moves with a velocity $\to v = 5^i - 3^j + 6^k m s^{- 1}$ under the influence of a constant force $\to F = 10^i + 10^j + 20^k N$ . The instantaneous power applied to the particle is

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Solution

The correct option is C

$P = \to F . \to v = (10^i + 10^j + 20^k) . (5^i - 3^j + 6^k) = 50 - 30 + 120 = 140 J - s^{- 1}$

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A particle moves with a velocity →v=5^i−3^j+6^kms−1 under the influence of a constant force →F=10^i+10^j+20^kN . The instantaneous power applied to the particle is

The correct option is C P=→F.→v=(10^i+10^j+20^k).(5^i−3^j+6^k)=50−30+120=140J−s−1

A particle moves with a velocity $\to v = 5^i - 3^j + 6^k m s^{- 1}$ under the influence of a constant force $\to F = 10^i + 10^j + 20^k N$ . The instantaneous power applied to the particle is

The correct option is C

$P = \to F . \to v = (10^i + 10^j + 20^k) . (5^i - 3^j + 6^k) = 50 - 30 + 120 = 140 J - s^{- 1}$