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?
2. 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?
3. the classes are playing tug of war. mrs. larsons homeroom pulls with a force of 50 n. ms. miskos homeroom pulls with a force of 45 n in the opposite direction. what is the net force? and who won?
4. what is a balanced force?
5. what is an unbalanced force?
6. 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:

Step1: Determine the direction of forces

For problem 12, both forces are in the east direction. For problem 13, both forces are in the same direction. For problem 14, forces are in opposite directions.

Step2: Calculate net force for same - direction forces

For problem 12:
Let \(F_1 = 6N\) (east) and \(F_2=4N\) (east). The net force \(F_{net}=F_1 + F_2\)
\(F_{net}=6 + 4=10N\) (east)
For problem 13:
Let \(F_{Mr.Smith}=30N\) and \(F_{Mrs.Smith}=25N\). The net force \(F_{net}=F_{Mr.Smith}+F_{Mrs.Smith}\)
\(F_{net}=30 + 25 = 55N\) (in the direction they are moving the chair)

Step3: Calculate net force for opposite - direction forces

For problem 14:
Let \(F_{Larson}=50N\) and \(F_{Misko}=45N\). The net force \(F_{net}=|F_{Larson}-F_{Misko}|\)
\(F_{net}=|50 - 45|=5N\). Since \(F_{Larson}>F_{Misko}\), Mrs. Larson's homeroom won.

Answer:

1. \(10N\) east
2. \(55N\) (in the direction of their push/pull)
3. \(5N\), Mrs. Larson's homeroom won