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$A force F = (3 \hat{i} + 4 \hat{j}) N acts on a body and displaces it by s = (2 \hat{i} + 3 \hat{j}) m . What is the work done by the force?$

A. $6 J$
B. $12 J$
C. $18 J$
D. $24 J$

Show correct answer & step-by-step solution

Correct answer: C — $18 J$

Solution

W = F \cdot s = (3 \times 2) + (4 \times 3) = 6 + 12 = 18 J .

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