a woman does 236 j of work dragging her trash can 24.4 m to the curb, using a force of 18.9 n. at what angle…

Explanation:

Step1: Recall work - formula

The work formula is $W = Fd\cos\theta$, where $W$ is work, $F$ is force, $d$ is displacement, and $\theta$ is the angle between the force and the displacement. We need to solve for $\theta$.

Step2: Rearrange the formula for $\theta$

From $W = Fd\cos\theta$, we can get $\cos\theta=\frac{W}{Fd}$.

Step3: Substitute the given values

Given $W = 236\ J$, $F = 18.9\ N$, and $d = 24.4\ m$. Then $\cos\theta=\frac{236}{18.9\times24.4}$. First, calculate $18.9\times24.4 = 461.16$. Then $\cos\theta=\frac{236}{461.16}\approx0.512$.

Step4: Find the angle

$\theta=\cos^{- 1}(0.512)$. Using a calculator, $\theta\approx59.2^{\circ}$.

Answer:

$59.2$