Question

during a game of tug - of - war, two people pull on a rope, as shown in the image. $f_{p2}=90 n$ (arrow to the left), $f_{p1}=75 n$ (arrow to the right). what is the net force acting on the rope? $square$ n. in which direction do the people move? $square$

Explanation:

Step1: Define force directions

Let left be positive, so $F_{p2}=+90\ \text{N}$, $F_{p1}=-75\ \text{N}$.

Step2: Calculate net force

Net force is sum of forces:
$F_{\text{net}} = F_{p2} + F_{p1}$
$F_{\text{net}} = 90 - 75 = 15\ \text{N}$

Step3: Determine movement direction

Net force points left, so people move left.

Answer:

15
In the direction of the person pulling with 90 N (left)