First slide

Work

Question

A particle of mass 1kg is displaced from(0,0,0) to (2m,2m,2m) under the action of a force $(9 \hat{i} + 4 \hat{j}) N$ .The work done by the force is

Moderate

A

26J
B

36J
C

46J
D

56J

Solution

$\begin{array}{l} W = \vec{F} \vec{S} = (9 \hat{i} + 4 \hat{j}) \cdot (2 \hat{i} + 2 \hat{j} + 2 \hat{k}) \\ W = 18 + 8 = 26 J \end{array}$

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