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Question: The force\((3\widehat{i} - \widehat{j} + \widehat{k})\) N displaces a body from (1, 2, 0) to (3, 4...

The force(3i^−j^+k^)(3\widehat{i} - \widehat{j} + \widehat{k}) N displaces a body from
(1, 2, 0) to (3, 4, 5). Coordinates are in metre. The work done is –

A

9 J

B

18 J

C

11 J

D

29 J

Answer

9 J

Explanation

Solution

F→=3i^−j^+k^\overset{\rightarrow}{F} = 3\widehat{i} - \widehat{j} + \widehat{k}

s→=2i^+2j^+5k^\overset{\rightarrow}{s} = 2\widehat{i} + 2\widehat{j} + 5\widehat{k}

W = 6 – 2 + 5 = 9 J