First slide

Work

Question

A force $\vec{F} = 6 \hat{i} + 2 \hat{j} - 3 \hat{k}$ acts on a particle and produces a displacement of $\vec{s} = 2 \hat{i} - 3 \hat{j} + x \hat{k} .$ If the work done is zero, the value of x is

Easy

A

– 2
B

1/2
C

6
D

2

Solution

$W = \vec{F} . \vec{s} = (6 \hat{i} + 2 \hat{j} - 3 \hat{k}) . (2 \hat{i} - 3 \hat{j} + x \hat{k}) = 0$
$12 - 6 - 3 x = 0 \Rightarrow x = 2$

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