Question

A constant force,$\overrightarrow{F}=2\hat{i}+2\hat{j}$ acts on a body of mass 2 kg due to which the body gets displaced from (0,0,0) to (5,0,0). What is the work done by this force?

• A. -10 J
• B. 10 J
• C. 15 J
• D. -15 J

Answer 1

The correct option is B

10 J

The component of force along the displacement is only needed for calculating its work done.
Here, $\overrightarrow{F}=2\hat{i}+2\hat{j}$
m = 2kg
$\overrightarrow{s}=5\hat{i}$
W = $\overrightarrow{F}.\overrightarrow{s}=(2\hat{i}+3\hat{j}).\left(5\hat{i}\right)$
= 10 J