Question

situation 3: select one blue 100n person and a 50n red person. move them up to the rope the same distance away.different size, same distance away from cart .draw vectors (bigger for larger force)force left = ?force right = ?sum of forces = ?predicted movement (none, left, right)actual movement (none, left, right)sum of forces (n) (0, #-left, #-right)

Explanation:

Step1: Assign forces to sides

Let the blue 100N person pull left, so $F_{\text{left}} = 100\,\text{N}$; the red 50N person pulls right, so $F_{\text{right}} = 50\,\text{N}$.

Step2: Calculate net force

Subtract smaller force from larger force.
$\sum F = F_{\text{left}} - F_{\text{right}} = 100\,\text{N} - 50\,\text{N} = 50\,\text{N}$ (left direction)

Step3: Predict actual movement

Net force points left, so cart moves left.

Answer:

• Force left = $100\,\text{N}$, Force right = $50\,\text{N}$ (vectors: left vector longer than right vector)
• Predicted Movement: left
• Actual Movement: left
• Sum of Forces: $50$-left