Question

Four people participate in a rope competition. Two of them pull the rope right, exerting forces of magnitude 330 $\mathrm{N}$ and 380 $\mathrm{N}$ . The other two pull left, exerting forces of magnitude 300 $\mathrm{N}$ and 400 $\mathrm{N}$ . What is the sum of the forces exerted on a short section in the middle of the rope?

Name: Problem 21, Chapter 2: College Physics
Uploaded: 2020-04-22T00:18:28-08:00
Duration: 2 min 31 s
Channel: Chris Murray
Description: Four people participate in a rope competition. Two of them pull the rope right, exerting forces of magnitude 330 N and 380 N . The other two pull left, exerting forces of magnitude 300 N and 400 N . What is the sum of the forces exerted on a short section in the middle of the rope?

   Four people participate in a rope competition. Two of them
pull the rope right, exerting forces of magnitude 330 $\mathrm{N}$ and
380 $\mathrm{N}$ . The other two pull left, exerting forces of magnitude
300 $\mathrm{N}$ and 400 $\mathrm{N}$ . What is the sum of the forces exerted on a
short section in the middle of the rope?

College Physics

Eugenia Etkina,… 1st Edition

Chapter 2, Problem 21

Instant Answer

Solved by Expert Chris Murray

04/22/2020

Step 1

There are two forces acting to the right, 330 N and 380 N, and two forces acting to the left, 300 N and 400 N. Show more…

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Four people participate in a rope competition. Two of them pull the rope right, exerting forces of magnitude 330 $\mathrm{N}$ and 380 $\mathrm{N}$ . The other two pull left, exerting forces of magnitude 300 $\mathrm{N}$ and 400 $\mathrm{N}$ . What is the sum of the forces exerted on a short section in the middle of the rope?

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Key Concepts

Free-Body Diagram

A free-body diagram is a graphical representation that isolates an object and illustrates all the forces acting upon it. This tool helps in identifying and organizing forces to simplify the process of calculating the net force and understanding the dynamics of the system.

Vector Addition

Vector addition is the method used to combine forces that have both magnitude and direction. By assigning a positive direction (such as right) and a negative direction (such as left), individual force contributions can be algebraically summed to obtain the net force acting on an object.

Net Force

Net force is the cumulative force acting on an object, determined by vectorially adding all individual forces. It dictates the overall tendency of an object to accelerate as described by Newton’s second law, meaning that the behavior of the system depends on the balance between forces in different directions.

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