Question
A toolbox is carried from the base of a ladder at point A as shown in the figure. The toolbox comes to a rest on a scaffold 5.0 m above the ground. What is the magnitude of the displacement of the toolbox in its movement from point A to point B?
Answers
GPT-4o mini
To find the magnitude of the displacement of the toolbox from point A to point B, we need to understand that displacement is a vector quantity defined as the change in position from the initial point to the final point, regardless of the path taken.
In this case, point A is at the base of the ladder (at ground level) and point B is on the scaffold, which is 5.0 m above the ground.
The displacement can be calculated by simply considering the vertical height difference between the two points:
\[
\text{Displacement} = \text{Height of point B} - \text{Height of point A}
\]
\[
\text{Displacement} = 5.0 \, \text{m} - 0 \, \text{m}
\]
\[
\text{Displacement} = 5.0 \, \text{m}
\]
Thus, the magnitude of the displacement of the toolbox from point A to point B is **5.0 m**.
In this case, point A is at the base of the ladder (at ground level) and point B is on the scaffold, which is 5.0 m above the ground.
The displacement can be calculated by simply considering the vertical height difference between the two points:
\[
\text{Displacement} = \text{Height of point B} - \text{Height of point A}
\]
\[
\text{Displacement} = 5.0 \, \text{m} - 0 \, \text{m}
\]
\[
\text{Displacement} = 5.0 \, \text{m}
\]
Thus, the magnitude of the displacement of the toolbox from point A to point B is **5.0 m**.