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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs
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Two teams of nine members each engage in a tug of war.

Chapter 4, Problem 17

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QUESTION:

Problem 17PE

Two teams of nine members each engage in a tug of war. Each of the first team’s members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1365 N horizontally. (a) What is magnitude of the acceleration of the two teams? (b) What is the tension in the section of rope between the teams?

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QUESTION:

Problem 17PE

Two teams of nine members each engage in a tug of war. Each of the first team’s members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1365 N horizontally. (a) What is magnitude of the acceleration of the two teams? (b) What is the tension in the section of rope between the teams?

ANSWER:

Solution  17 PE

a.)

Step 1 of 3

The  magnitude of the acceleration of the two teams of nine members can be calculated by knowing the net force and the total mass of the teams.

Given : Average mass of each member of  the first team = 68 kg

             Average force exerted by each member of the first team = 1350 N

            Average mass of each member of the second  team = 73 kg

            Average force exerted by each member of the second team = 1365 N

Net force = (Force exerted by the second team) Force exerted by the second team)

                = (1365)

                = 135 N

Total mass of the teams = (9= 1269 kg

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