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Using the tail-to-head method and a scale of 1 cm represents 10 N, draw an accurate vector diagram to determine the magnitude of the resultant force acting on the box.

Physics

ScanSolve AI Answer

Answer

0 m\text{0 m}

Step-by-step solution

3 steps
  1. Identify Jack's initial and final positions.

    Jack starts at point A.
    Jack's movement ends at point C.

  2. Determine the coordinates of points A, B, and C.

    Let point A be the origin, so its position is xA=0 mx_A = 0 \text{ m}.
    Point B is 70 m70 \text{ m} East of A. We define East as the positive direction.
    So, the position of B is xB=+70 mx_B = +70 \text{ m}.
    Jack runs from B to C due West. The problem states that the distance between point B and point C is 70 m70 \text{ m}. Since West is the negative direction:
    The position of C is xC=xB−70 mx_C = x_B - 70 \text{ m}.

    xC=+70 m−70 m=0 mx_C = +70 \text{ m} - 70 \text{ m} = 0 \text{ m}
  3. Calculate Jack's displacement.

    Displacement (Δx\Delta x) is the change in position from the initial point to the final point.

    Δx=xfinal−xinitial\Delta x = x_{\text{final}} - x_{\text{initial}} Δx=xC−xA\Delta x = x_C - x_A Δx=0 m−0 m\Delta x = 0 \text{ m} - 0 \text{ m} Δx=0 m\Delta x = 0 \text{ m}

    Note: The information about Jack's velocity (5 m⋅s−15 \text{ m}\cdot\text{s}^{-1}) and time (10 s10 \text{ s}) for the B to C segment would imply a distance of 5 m/s×10 s=50 m5 \text{ m/s} \times 10 \text{ s} = 50 \text{ m}. However, the problem explicitly states "The distance between point B and point C is 70 m". We use the explicitly stated distance to define the positions of the points.

    Jack's displacement is 0 m\text{0 m}.

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