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situation 5: select any five people, 3 on one side, two on the other, .…

Question

situation 5: select any five people, 3 on one side, two on the other, . move them up to the rope in any location.
different amounts of people anywhere on the rope
draw vectors (bigger for larger force)
predicted movement (none, left, right)
actual movement (none, left, right)
sum of forces (n) (0, #-left, #-right)
force left = ?
force right = ?
sum of forces = ?

Explanation:

Step1: Assign force per person

Assume each person exerts $10\ \text{N}$ of force.

Step2: Calculate left/right forces

3 people on left: $F_{\text{left}} = 3 \times 10 = 30\ \text{N}$
2 people on right: $F_{\text{right}} = 2 \times 10 = 20\ \text{N}$

Step3: Find net force

Net force: $F_{\text{net}} = F_{\text{left}} - F_{\text{right}} = 30 - 20 = 10\ \text{N}$ (left direction)

Step4: Predict movement

Net force left → movement left.

Step5: Confirm actual movement

Matches prediction (left).

Answer:

Draw vectors (bigger for larger force)Predicted MovementActual MovementSum of Forces (N)

(Note: Force values assume 10 N per person; vectors are drawn with left vector longer than right vector)