Question

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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.
2 n ← 0.25 kg → 6 n \t8 n ← 0.50 kg 2 n ←
16.0 kg → 6 n → 2 n \t4 n ← 0.25 kg 4 n ←

Explanation:

Step1: Calculate net force for each object

For the first object (0.25 kg, 2 N left, 6 N right): Net force \( F_{net1} = 6 - 2 = 4 \, N \) (positive as right is positive).
For the second object (0.50 kg, 8 N left, 2 N left): Net force \( F_{net2} = -8 - 2 = -10 \, N \) (negative as left is negative).
For the third object (16.0 kg, 6 N right, 2 N right): Net force \( F_{net3} = 6 + 2 = 8 \, N \) (positive).
For the fourth object (0.25 kg, 4 N left, 4 N left): Net force \( F_{net4} = -4 - 4 = -8 \, N \) (negative).

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

Most negative: \( F_{net2} = -10 \, N \) (rank 1).
Next negative: \( F_{net4} = -8 \, N \) (rank 2).
Next positive: \( F_{net1} = 4 \, N \) (rank 3).
Most positive: \( F_{net3} = 8 \, N \) (rank 4).

Answer:

1. 0.50 kg (8 N left, 2 N left)
2. 0.25 kg (4 N left, 4 N left)
3. 0.25 kg (2 N left, 6 N right)
4. 16.0 kg (6 N right, 2 N right)