Three constant forces act simultaneously on a particle initially at rest: , ,

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Three constant forces act simultaneously on a 2 kg2\,\text{kg} particle initially at rest: F⃗1=(10i^+5j^−2k^) N\vec F_1=(10\hat i+5\hat j-2\hat k)\,\text{N}, F⃗2=(−4i^+3j^+2k^) N\vec F_2=(-4\hat i+3\hat j+2\hat k)\,\text{N}, F⃗3=(0i^−8j^+0k^) N\vec F_3=(0\hat i-8\hat j+0\hat k)\,\text{N}. During the action, the particle undergoes a displacement s⃗=(2i^+0j^+3k^) m\vec s=(2\hat i+0\hat j+3\hat k)\,\text{m}. What is its speed after the displacement? (a) 4.9 m s−14.9\,\text{m\,s}^{-1} (b) 3.5 m s−13.5\,\text{m\,s}^{-1} (c) 2.5 m s−12.5\,\text{m\,s}^{-1} (d) 4.0 m s−14.0\,\text{m\,s}^{-1}

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