First slide

Work

Question

A force $\bar{F} = (5 \overset{\land}{i} + 3 \overset{\land}{j} + 2 \overset{\land}{k}) N$ is applied over a particle which displaces it from its origin to the point $\bar{r} = (2 \overset{\land}{i} - \overset{\land}{j}) m$ . The work done on the particle in Joules is

Moderate

A

-7 J
B

+7 J
C

10 J
D

13 J

Solution

$w e k n o w t h a t w o r k d o n e i s W = \bar{F} \cdot \bar{r} = f o r c e . d i s p l a c e m e n t W = (5 \overset{\land}{i} + 3 \overset{\land}{j} + 2 \overset{\land}{k}) (2 \overset{\land}{i} - \overset{\land}{j}) W = 10 - 3 = 7 J$

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