Question

balanced/unbalanced forces practice problems
net force equation
(include direction of force & label)
balanced or unbalanced
(circle answer)
30 n right and 100 n left
balanced unbalanced
7 n 10 n
balanced unbalanced
balanced unbalanced
30 n 45 n
balanced unbalanced
75 n up and 35 n down
balanced unbalanced
800 n left and 800 n right
balanced unbalanced
10 n↓ 14 n↑
balanced unbalanced

Explanation:

Step1: Recall net - force formula

Net force $F_{net}$ for forces acting in opposite directions is $F_{net}=|F_1 - F_2|$. If $F_{net}=0$, forces are balanced; if $F_{net}
eq0$, forces are unbalanced.

Step2: Analyze "50 N Right and 100 N Left"

$F_{net}=|50 - 100|= 50$ N to the left. Unbalanced.

Step3: Analyze "7 N Left and 10 N Right"

$F_{net}=|7 - 10| = 3$ N to the right. Unbalanced.

Step4: Analyze "15 N Left and 15 N Right"

$F_{net}=|15 - 15|=0$ N. Balanced.

Step5: Analyze "30 N Right and 45 N Right"

These forces act in the same direction. Net force $F_{net}=30 + 45=75$ N to the right. Unbalanced.

Step6: Analyze "75 N Up and 35 N Down"

$F_{net}=|75 - 35| = 40$ N up. Unbalanced.

Step7: Analyze "800 N Left and 800 N Right"

$F_{net}=|800 - 800|=0$ N. Balanced.

Step8: Analyze "10 N Down and 14 N Up"

$F_{net}=|10 - 14| = 4$ N up. Unbalanced.

Answer:

1. Net Force: 50 N to the left, Unbalanced
2. Net Force: 3 N to the right, Unbalanced
3. Net Force: 0 N, Balanced
4. Net Force: 75 N to the right, Unbalanced
5. Net Force: 40 N up, Unbalanced
6. Net Force: 0 N, Balanced
7. Net Force: 4 N up, Unbalanced