Kiley, Jermaine, and Gunther are playing tug-of-war. Kiley and Jermaine are on the same side of the rope, and Gunther is on the other side. Kiley is exerting a force of 20 N, and Jermaine is exerting a force of 25 N.

Question

Which force would result in a balanced force for the game?

45 N in the opposite direction as Kiley and Jermaine
20 N in the opposite direction as Kiley and Jermaine
20 N in the same direction as Kiley and Jermaine
45 N in the same direction as Kiley and Jermaine

Answer 1

To determine which force would result in a balanced force for the tug-of-war, we first need to calculate the total force being exerted by Kiley and Jermaine.

Kiley is exerting a force of 20 N and Jermaine is exerting a force of 25 N.

Total force exerted by Kiley and Jermaine:

\[ 20 , \text{N} + 25 , \text{N} = 45 , \text{N} \]

For the forces to be balanced, Gunther needs to exert a force that equals the total force exerted by Kiley and Jermaine, but in the opposite direction.

Therefore, Gunther should exert a force of:

• 45 N in the opposite direction as Kiley and Jermaine.

So, the correct answer is:

45 N in the opposite direction as Kiley and Jermaine.