How to Calculate Net Forces on a Stubborn Stump

What are the different net forces on a stubborn stump when pulled by ropes at various angles? Rank them from greatest to least.

Given data:

Rope force: 200 N

Angle 1: Both ropes pulling vertically

Angle 2: One rope at a 60° angle

Angle 3: One rope at a 30° angle

Net forces on the stubborn stump:

1. Net force when both ropes are pulling vertically: 400 N

2. Net force when one rope is at a 60° angle: 173.2 N

3. Net force when one rope is at a 30° angle: 100 N

In this scenario, we have a stubborn stump being pulled by ropes at different angles with a force of 200 N. The net forces on the stump vary based on the angles at which the ropes are pulling.

When both ropes are pulling vertically, the full force of each rope contributes to the net force, resulting in a net force of 400 N. The vertical components add up to create the highest net force in this scenario.

On the other hand, when one rope is at a 60° angle, only the vertical component of the force contributes to the net force. This results in a net force of approximately 173.2 N, which is lower than when both ropes are pulling vertically but higher than when one rope is at a 30° angle.

When one rope is at a 30° angle, only the vertical component of the force contributes to the net force. The calculation yields a net force of approximately 100 N, which is the lowest among the three scenarios.

Understanding the components of force in each scenario allows us to accurately rank the net forces on the stubborn stump, considering the angles at which the ropes are pulling. By analyzing the forces at different angles, we can determine the impact of force components on the overall net force acting on the stump.