I asked for U to help me find the work in the picture

Question

ScanSolve AI Tutor · Accepted Answer

To find the work done, we use the formula for work done by a constant force.

Identify the given values from the picture.
- Force, $F = 100 \, \text{N}$
- Displacement, $d = 5 \, \text{m}$
- Angle between the force and displacement, $\theta = 30^\circ$
State the formula for work done ( $W$ ).
$W = F \cdot d \cdot \cos(\theta)$
Substitute the given values into the formula.
$W = 100 \, \text{N} \cdot 5 \, \text{m} \cdot \cos(30^\circ)$
Calculate the value of $\cos(30^\circ)$ and then the work done.
$\cos(30^\circ) = \frac{\sqrt{3}}{2} \approx 0.866$ $W = 100 \, \text{N} \cdot 5 \, \text{m} \cdot \frac{\sqrt{3}}{2}$ $W = 500 \cdot \frac{\sqrt{3}}{2} \, \text{J}$ $W = 250 \sqrt{3} \, \text{J}$ $W \approx 250 \times 0.866 \, \text{J}$ $W \approx 216.5 \, \text{J}$
The work done is:
$216.5 \, \text{J}$

Answer