Question

rank the objects according to net force; use 1 for the most negative and 4 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.
10.0 → 8 n 4 n ← 0.25
kg → 2 n 4 n ← kg
4 n ← 2.0 → 8 n 8 n ← 4.0 → 4 n
kg kg

Explanation:

Step1: Calculate net force for each object

• Top - Left (10.0 kg): Forces are \( 8\,\text{N (right)} \) and \( 2\,\text{N (right)} \). Net force \( F_{net1} = 8 + 2 = 10\,\text{N (positive)}.\)
• Top - Right (0.25 kg): Forces are \( 4\,\text{N (left)} \) and \( 4\,\text{N (left)} \). Net force \( F_{net2} = - 4 - 4 = - 8\,\text{N (negative)}.\)
• Bottom - Left (2.0 kg): Forces are \( 4\,\text{N (left)} \) and \( 8\,\text{N (right)} \). Net force \( F_{net3} = 8 - 4 = 4\,\text{N (positive)}.\)
• Bottom - Right (4.0 kg): Forces are \( 8\,\text{N (left)} \) and \( 4\,\text{N (right)} \). Net force \( F_{net4} = 4 - 8 = - 4\,\text{N (negative)}.\)

Step2: Rank by net force (1: most negative, 4: most positive)

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

Answer:

1. Top - Right (0.25 kg)
2. Bottom - Right (4.0 kg)
3. Bottom - Left (2.0 kg)
4. Top - Left (10.0 kg)