Q 11-05-053JEE MainJEE Main 2026 (4 Apr, Shift 1)Easy
A $1$ kg block subjected to two simultaneous forces $(2\hat{i} + 3\hat{j} + 4\hat{k})$ N and $(3\hat{i} - \hat{j} - 2\hat{k})$ N is moved a distance of $25$ m along $(3\hat{i} - 4\hat{j})$ direction. The work done in this process is ______ J.
Numerical value type. Enter your answer.
Answer: 35
Net force: $5\hat{i} + 2\hat{j} + 2\hat{k}$ N. Displacement: $25 \times \dfrac{3\hat{i} - 4\hat{j}}{5} = 15\hat{i} - 20\hat{j}$ m.
$W = 5 \times 15 + 2 \times (-20) = 75 - 40 = 35$ J.
Solution by Sreeraj P, M.Sc Physics