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JEE Main 2026 · 4 Apr · Shift 1, Physics question 46

A 1 kg block subjected to two simultaneous forces (2i^+3j^+4k^)\left(2\hat i+3\hat j+4\hat k\right) N and (3i^−j^−2k^)\left(3\hat i-\hat j-2\hat k\right) N is moved a distance of 25 m along (3i^−4j^)\left(3\hat i-4\hat j\right) direction. The work done in this process is ________ J.

Answer and worked solution

Official answer: 35

Net force (5,2,2)(5,2,2) N; displacement 25⋅(3,−4,0)5=(15,−20,0)25\cdot\frac{(3,-4,0)}5=(15,-20,0) m.

Work. W=75−40=35W=75-40=35 J.

Answer: 35

Topics:Work by constant and variable forcesVectors
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