Question

show your work on problems 12 - 14

1. a boy pulls a wagon with a force of 6 n east as another boy pushes it with a force of 4 n

east. what is the net force?

1. mr. smith and his wife were trying to move their new chair. mr. smith pulls with a force

of 30 n while mrs. smith pushes with a force of 25 n in the same direction. what is the net
force?

1. the classes are playing tug of war. mrs. larsons homeroom pulls with a force of 50 n.

ms. mitkos homeroom pulls with a force of 45 n in the opposite direction. what is the net
force? and who won?

1. what is a balanced force?
2. what is an unbalanced force?
3. draw a picture below that shows an example of a balanced force (examples: a birds

nest in a tree, a hat on a persons head, or a light hanging from a ceiling). show the forces
acting on the object. in a separate picture show what would happen to the object if the
forces became unbalanced.

Explanation:

Problem 12

Step1: Add forces in same direction

Since both forces are east (same direction), net force \(F_{net}=F_1 + F_2\). Here \(F_1 = 6N\) and \(F_2=4N\).

$$F_{net}=6 + 4$$

Problem 13

Step1: Add forces in same direction

Forces are in the same direction. Let \(F_1 = 30N\) (Mr. Smith's pull) and \(F_2 = 25N\) (Mrs. Smith's push). Net force \(F_{net}=F_1+F_2\)

$$F_{net}=30 + 25$$

Problem 14

Step1: Subtract forces in opposite directions

Forces are in opposite directions. Let \(F_1 = 50N\) (Mrs. Larson's homeroom) and \(F_2 = 45N\) (Ms. Mitko's homeroom). Net force \(F_{net}=|F_1 - F_2|\)

$$F_{net}=|50 - 45|$$

The team with the larger force wins.

Answer:

• Problem 12: \(10N\) east
• Problem 13: \(55N\) (direction same as their individual forces)
• Problem 14: \(5N\), Mrs. Larson’s homeroom won.