Question

rank the objects according to net force; use 1 for the most negative and 8 for the most positive.
directions: tap each diagram in order to toggle though the possible net force rankings. once each object has a unique ranking, a check answer button will appear.
6 n ← 2.0 kg 4 n ← ; 4 n ← 0.50 kg → 6 n
4 n ← 2.0 kg → 8 n ; 4 n ← 0.25 kg 4 n ←
4 n ← 0.25 kg → 4 n ; 0.25 kg → 6 n → 2 n
8 n ← 0.25 kg → 6 n ; 4 n ← 0.50 kg 2 n ←

Explanation:

Step1: Define net force direction

Let left be negative and right be positive. Net force \( F_{net} = F_{right} - F_{left} \) (or sum of forces, considering direction).

Step2: Calculate net force for each object

1. Top - Left (2.0 kg, 6N left, 4N left):

Forces: \( F_{left} = 6 + 4 = 10 \, \text{N} \), \( F_{right} = 0 \).
\( F_{net} = 0 - 10 = -10 \, \text{N} \).

1. Top - Right (0.50 kg, 4N left, 6N right):

\( F_{net} = 6 - 4 = +2 \, \text{N} \).

1. Middle - Left (2.0 kg, 4N left, 8N right):

\( F_{net} = 8 - 4 = +4 \, \text{N} \).

1. Middle - Right (0.25 kg, 4N left, 4N left):

Forces: \( F_{left} = 4 + 4 = 8 \, \text{N} \), \( F_{right} = 0 \).
\( F_{net} = 0 - 8 = -8 \, \text{N} \).

1. Bottom - Left (0.25 kg, 4N left, 4N right):

\( F_{net} = 4 - 4 = 0 \, \text{N} \).

1. **Bottom - Middle (0.25 kg, 6N right, 2N right? Wait, diagram: 0.25 kg, 6N right, 2N right? Wait, original: "0.25 kg →6N" and "→2N"? Wait, re - check: "0.25 kg ——→6N" and "→2N"? Wait, maybe typo, but assuming two right forces: 6N and 2N, left force 0.

\( F_{net} = 6 + 2 - 0 = +8 \, \text{N} \).

1. Bottom - Middle - Left (0.25 kg, 8N left, 6N right):

\( F_{net} = 6 - 8 = -2 \, \text{N} \).

1. Bottom - Right (0.50 kg, 4N left, 2N left):

Forces: \( F_{left} = 4 + 2 = 6 \, \text{N} \), \( F_{right} = 0 \).
\( F_{net} = 0 - 6 = -6 \, \text{N} \).

Step3: Rank by \( F_{net} \) (1 = most negative, 8 = most positive)

• Most negative: Top - Left (\( -10 \, \text{N} \)) → Rank 1.
• Next negative: Middle - Right (\( -8 \, \text{N} \)) → Rank 2.
• Next negative: Bottom - Right (\( -6 \, \text{N} \)) → Rank 3.
• Next negative: Bottom - Middle - Left (\( -2 \, \text{N} \)) → Rank 4.
• Zero: Bottom - Left (\( 0 \, \text{N} \)) → Rank 5.
• Next positive: Top - Right (\( +2 \, \text{N} \)) → Rank 6.
• Next positive: Middle - Left (\( +4 \, \text{N} \)) → Rank 7.
• Most positive: Bottom - Middle (\( +8 \, \text{N} \)) → Rank 8.

Answer:

1. Top - Left (2.0 kg, 6N ←, 4N ←)
2. Middle - Right (0.25 kg, 4N ←, 4N ←)
3. Bottom - Right (0.50 kg, 4N ←, 2N ←)
4. Bottom - Middle - Left (0.25 kg, 8N ←, 6N →)
5. Bottom - Left (0.25 kg, 4N ←, 4N →)
6. Top - Right (0.50 kg, 4N ←, 6N →)
7. Middle - Left (2.0 kg, 4N ←, 8N →)
8. Bottom - Middle (0.25 kg, 6N →, 2N →)

(Note: Diagrams may have slight misinterpretation, but the key is calculating net force by summing forces with direction. Adjust rankings based on precise diagram labels, but the process is net force = sum of (right forces - left forces).)