Question

balanced/unbalanced forces practice problems

problem net force equations (include direction of forces & label) balanced or unbalanced? (circle answer)

1 problem: diagram showing a box with 30 n to the left, 30 n to the right, 25 n up, 20 n down hint: you will need two equations in some cases. balanced unbalanced
2 problem: diagram showing a box with 30 n to the left, 30 n to the right, 14 n additional to the right, 25 n up, 25 n down balanced unbalanced
3 problem: diagram showing a truck with 700 n to the right, 75 n to the left, 125 n to the left balanced unbalanced
4 force of boy (pulling) = 45 n right force of girl (pushing) = 30 n right friction force = 25 n left balanced unbalanced
5 force of girl = 75 n left gravitational force = 900 n down normal force = 900 n up friction force = 75 n right balanced unbalanced

Explanation:

Step1: Analyze horizontal forces for problem 1

Horizontal net - force: $F_{netx}=30 - 30=0$ N. Vertical net - force: $F_{nety}=25 - 20 = 5$ N.

Step2: Determine balance for problem 1

Since $F_{nety}
eq0$, the forces are unbalanced.

Step3: Analyze horizontal forces for problem 2

Horizontal net - force: $F_{netx}=30 + 14-30 = 14$ N. Vertical net - force: $F_{nety}=25 - 25=0$ N.

Step4: Determine balance for problem 2

Since $F_{netx}
eq0$, the forces are unbalanced.

Step5: Analyze horizontal forces for problem 3

Horizontal net - force: $F_{netx}=700-(75 + 125)=500$ N.

Step6: Determine balance for problem 3

Since $F_{netx}
eq0$, the forces are unbalanced.

Step7: Analyze horizontal forces for problem 4

Horizontal net - force: $F_{netx}=45 + 30-25 = 50$ N.

Step8: Determine balance for problem 4

Since $F_{netx}
eq0$, the forces are unbalanced.

Step9: Analyze horizontal and vertical forces for problem 5

Horizontal net - force: $F_{netx}=75 - 75=0$ N. Vertical net - force: $F_{nety}=900 - 900=0$ N.

Step10: Determine balance for problem 5

Since $F_{netx}=0$ and $F_{nety}=0$, the forces are balanced.

Answer:

1. Net Force Equations: $F_{netx}=0$ N, $F_{nety}=5$ N; Unbalanced
2. Net Force Equations: $F_{netx}=14$ N, $F_{nety}=0$ N; Unbalanced
3. Net Force Equations: $F_{netx}=500$ N; Unbalanced
4. Net Force Equations: $F_{netx}=50$ N; Unbalanced
5. Net Force Equations: $F_{netx}=0$ N, $F_{nety}=0$ N; Balanced