Two teams of nine members each engage in a tug of war. The first team's members have average masses of 69 kg and exert average forces of 1350 N horizontally. The second team's members have average masses of 74 kg and exert average forces of 1356 N horizontally.
Incomplete.
To find the resulting force in a tug of war, we need to consider the individual forces exerted by each team and combine them appropriately. The resulting force will depend on the net force exerted by both teams.
First, let's calculate the net force exerted by the first team. We are given that the average mass of each member is 69 kg, and they exert an average force of 1350 N horizontally. Therefore, the net force exerted by the first team can be calculated by multiplying the average force by the number of team members:
Net force (Team 1) = Average force (Team 1) x Number of team members (Team 1)
= 1350 N x 9 members
= 12150 N
Similarly, for the second team, we are given that the average mass of each member is 74 kg, and they exert an average force of 1356 N horizontally. The net force exerted by the second team can be calculated in the same way:
Net force (Team 2) = Average force (Team 2) x Number of team members (Team 2)
= 1356 N x 9 members
= 12204 N
To find the resulting force, we need to determine the difference between the net forces exerted by both teams:
Resulting force = Net force (Team 1) - Net force (Team 2)
= 12150 N - 12204 N
≈ -54 N
The resulting force is approximately -54 N. The negative sign indicates that the second team has a slightly greater net force in the horizontal direction.