This table shows the weights of four different objects that are sitting on the floor.

\begin{tabular}{|l|l|}
\hline
Object & Weight (N) \\
\hline
1 & 35 \\
\hline
2 & 23 \\
\hline
3 & 26 \\
\hline
4 & 18 \\
\hline
\end{tabular}

A person tries to lift each object with a force of 25 N upward. Which statement is supported by the data in the table?

A. All of the objects will move, but object 1 will accelerate the slowest.
B. None of the objects will move, but the normal force on all of the objects will increase.



Answer :

To determine which statement is supported by the data in the table, we need to compare the lifting force applied to each object with their respective weights. Here are the given details:

- Weight of Object 1: 35 N
- Weight of Object 2: 23 N
- Weight of Object 3: 26 N
- Weight of Object 4: 18 N

Lifting force applied by the person: 25 N

Next, we analyze whether each object will move or not:

1. Object 1:
- Weight: 35 N
- Lifting force: 25 N
- Since the lifting force (25 N) is less than the weight (35 N), Object 1 will not move.

2. Object 2:
- Weight: 23 N
- Lifting force: 25 N
- Since the lifting force (25 N) is greater than the weight (23 N), Object 2 will move.

3. Object 3:
- Weight: 26 N
- Lifting force: 25 N
- Since the lifting force (25 N) is less than the weight (26 N), Object 3 will not move.

4. Object 4:
- Weight: 18 N
- Lifting force: 25 N
- Since the lifting force (25 N) is greater than the weight (18 N), Object 4 will move.

Summarizing the findings:
- Objects 2 and 4 will move because the lifting force is greater than their weight.
- Objects 1 and 3 will not move because the lifting force is less than their weight.

Given these observations, we now evaluate the statements:
- Statement A: "All of the objects will move, but object 1 will accelerate the slowest."
- This statement is incorrect because not all objects will move. Specifically, Object 1 and Object 3 will not move at all.

- Statement B: "None of the objects will move, but the normal force on all of the objects will increase."
- This statement is also incorrect because Objects 2 and 4 will indeed move, as their weights are less than the applied lifting force.

Conclusion: Neither of the given statements accurately describes the situation based on the data in the table and the applied lifting force. However, based on our observations, Objects 2 and 4 will move due to the lifting force exceeding their respective weights. Thus, there is no entirely accurate statement among the provided options.