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Vector Notation

A force F =5 ...

Question

A force $F = (5^i + 3^j)$ newton is applied over a particle which displaces it from its origin to the point $r = (2^i - 1^j)$ metre. The work done on the particle is

A

- 7 joules

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B

+ 13 joules

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C

+ 7 joules

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D

+ 11 joules

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Solution

The correct option is C
+ 7 joules

$W = \to F . \to s = (5^i + 3^j) . (2^i -^j) = 10 - 3 = 7 J$

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