A force $(3 i + 4 j)$ newton acts on a body and displaced it by $(3 i + 4 j)$ metre. The work done by this force is:

10 J

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5 J

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25 J

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12 J

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Solution

The correct option is C $25 J$
$W o r k = f o r c e * d i s p l a c e m e n t = (3 i + 4 j) (3 i + 4 j) = 3 * 3 i . i + 4 * 4 j . j + 4 * 3 i . j + 4 * 3 i * j = 9 + 16 = 25 J$
as, $i . i = j . j = 1; i . j = j . i = 0$

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