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A force F = (5i – 3j +2k) N moves a particle from r1 = (2i + 7j + 4k) m to r2 = (5i + 2j + 8k) m. What is the work done by the force?

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A force F = (5i – 3j +2k) N moves a particle from r1 = (2i + 7j + 4k) m to r2 = (5i + 2j + 8k) m. What is the work done by the force?

(a) 18 J

(b) 28 J

(c) 38 J

(d) 48 J

This question was addressed to me in an online interview.

I want to ask this question from Work Done by a Variable Force topic in portion Work, Energy and Power of Physics – Class 11

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Best answer
The correct answer is (c) 38 J

The best explanation: Displacement (d) = r2 – r1

 = (3i – 5j + 4k) m

Work = Force . Displacement; [Dot product of vectors]

 = (5i – 3j +2k) .(3i – 5j + 4k)

 = 38 J.

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