Question

balanced
unbalanced
forces
6-6
terrance pushes 1; tommy pushes 6
tommy and terrance push with the same amount of force
terrance pushes 2; tommy pushes 2
5-4
3-3
tommy pushes 3; terrance pushes 1
7-5

Explanation:

To solve this, we need to determine when forces are balanced (equal magnitude) or unbalanced (unequal magnitude).

Balanced Forces (Equal Force)

1. 6 - 6: The forces are equal (6 = 6), so this is balanced.
2. Tommy and Terrance push with the same amount of force: By definition, same force means balanced.
3. Terrance pushes 2; Tommy pushes 2: Forces are equal (2 = 2), balanced.
4. 3 - 3: Forces are equal (3 = 3), balanced.

Unbalanced Forces (Unequal Force)

1. Terrance pushes 1; Tommy pushes 6: 1 ≠ 6, unbalanced.
2. 5 - 4: 5 ≠ 4, unbalanced.
3. Tommy pushes 3; Terrance pushes 1: 3 ≠ 1, unbalanced.
4. 7 - 5: 7 ≠ 5, unbalanced.

Final Categorization:

• Balanced:
• 6 - 6
• Tommy and Terrance push with the same amount of force
• Terrance pushes 2; Tommy pushes 2
• 3 - 3
• Unbalanced:
• Terrance pushes 1; Tommy pushes 6
• 5 - 4
• Tommy pushes 3; Terrance pushes 1
• 7 - 5

Answer:

To solve this, we need to determine when forces are balanced (equal magnitude) or unbalanced (unequal magnitude).

Balanced Forces (Equal Force)

1. 6 - 6: The forces are equal (6 = 6), so this is balanced.
2. Tommy and Terrance push with the same amount of force: By definition, same force means balanced.
3. Terrance pushes 2; Tommy pushes 2: Forces are equal (2 = 2), balanced.
4. 3 - 3: Forces are equal (3 = 3), balanced.

Unbalanced Forces (Unequal Force)

1. Terrance pushes 1; Tommy pushes 6: 1 ≠ 6, unbalanced.
2. 5 - 4: 5 ≠ 4, unbalanced.
3. Tommy pushes 3; Terrance pushes 1: 3 ≠ 1, unbalanced.
4. 7 - 5: 7 ≠ 5, unbalanced.

Final Categorization:

• Balanced:
• 6 - 6
• Tommy and Terrance push with the same amount of force
• Terrance pushes 2; Tommy pushes 2
• 3 - 3
• Unbalanced:
• Terrance pushes 1; Tommy pushes 6
• 5 - 4
• Tommy pushes 3; Terrance pushes 1
• 7 - 5