Question

A particle moves from position $3\hat{i}+2\hat{j}-6\hat{k}$ to position $14\hat{i}+13\hat{j}+9\hat{k}$ in metres and a constant force $4\hat{i}+2\hat{j}+3\hat{k}N$ acts on. The work done by the force is

• A. 55 Nm
• B. 70 Nm
• C. 111 Nm
• D. 100 Nm

Answer 1

The correct option is C 111 Nm

We know,

$W=\int F\cdot ds$

$ds=dx+dy+dz$

$W=4\times (14-3)+2\times (13-2)+3\times (9-(-6\left)\right)$

$W=44+22+45=111N$

Option $\text{C}$ is the correct answer