Question

problem 3: a dog owner takes the dog for a walk. the dog gets feisty, and the owner needs to pull the leash with a force of 195 n at an angle of 37° upward from the horizontal. after pulling for a distance of 35 m, find the work done by the person.

Explanation:

Step1: Identify the formula for work

The formula for work 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.

Step2: Substitute the given values

We are given $F = 195\ N$, $d=35\ m$, and $\theta = 37^{\circ}$. So $W=195\times35\times\cos(37^{\circ})$.

Step3: Calculate the value of $\cos(37^{\circ})$

$\cos(37^{\circ})\approx0.7986$.

Step4: Calculate the work

$W = 195\times35\times0.7986=195\times27.951 = 5450.445\ J$.

Answer:

$5450.445\ J$