A force F = (5î + 3ĵ) newton is applied ov

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

A

$-7 $

B

$+ 13$

C

$+ 7$

D

$+ 11 $

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

$W = \overrightarrow F .\overrightarrow s = (5\hat i + 3\hat j).(2\hat i - \hat j)$

$= 10 -3 = 7 \,J$