To determine which statement is supported by the data given in the table, we need to evaluate the effect of the lifting force on each object individually.
The table shows the weights of the four objects:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Object} & \text{Weight} (N) \\
\hline
1 & 23 \\
\hline
2 & 32 \\
\hline
3 & 16 \\
\hline
4 & 21 \\
\hline
\end{array}
\][/tex]
The person tries to lift each object with a force of 25 N upward. Let's compare this lifting force to the weight of each object:
1. Object 1: Weight = 23 N. Since the lifting force (25 N) is greater than the weight (23 N), Object 1 will move upward.
2. Object 2: Weight = 32 N. Since the lifting force (25 N) is less than the weight (32 N), Object 2 will not move.
3. Object 3: Weight = 16 N. Since the lifting force (25 N) is greater than the weight (16 N), Object 3 will move upward.
4. Object 4: Weight = 21 N. Since the lifting force (25 N) is greater than the weight (21 N), Object 4 will move upward.
Based on these observations:
- Object 2 will not move since the lifting force is not sufficient to lift its weight.
- Objects 1, 3, and 4 will move upward because the lifting force is greater than their respective weights.
Given the statements to choose from:
- A. Object 3 will accelerate upward the fastest, and object 2 will not move.
- B. All of the objects will move, but object 2 will accelerate the slowest.
- C. None of the objects will move, but the normal force on all of the objects will increase.
- D. Object 2 will move downward, and objects 1, 3, and 4 will move upward.
We know that Object 2 will not move, which already contradicts statements B, C, and D.
Therefore, the correct and supported statement by the data in the table is:
A. Object 3 will accelerate upward the fastest, and object 2 will not move.
