A particle moves with a velocity 5 i ⁡ ^ - 3 j ⁡ ^ + 6 k ^ m s - 1 under the influence of a constant force F ⁡ → = 1 0 i ⁡ ^ - 1 0 j ⁡ ^ + 2 0 k ^ N. The instantaneous power applied to the particle is

Question

A particle moves with a velocity 5 i ⁡ ^ - 3 j ⁡ ^ + 6 k ^ m s - 1 under the influence of a constant force F ⁡ → = 1 0 i ⁡ ^ - 1 0 j ⁡ ^ + 2 0 k ^ N. The instantaneous power applied to the particle is, 140 W, 40 W, 200 W, 170 W

MARKS App · Accepted Answer

v → = 5 i ⁡ ^ - 3 j ⁡ ^ + 6 k ^ m s - 1 F ⁡ → = 1 0 i ⁡ ^ - 1 0 j ⁡ ^ + 2 0 k ^ N ∴ Power = F ⁡ → · v → = 10 i ⁡ ^ - 10 j ⁡ ^ + 20 k ^ · 5 i ⁡ ^ - 3 j ⁡ ^ + 6 k ^ = 50 + 30 + 120 = 200 W

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