To determine which statement is supported by the data in the table, we need to compare the force applied by the person (18 Newtons) with the weights of the objects.
Let's go through the weights one by one:
1. Object 1: 25 N
- The force applied (18 N) is less than the weight of the object (25 N).
- Therefore, Object 1 will not move upward.
2. Object 2: 33 N
- The force applied (18 N) is less than the weight of the object (33 N).
- Therefore, Object 2 will not move upward.
3. Object 3: 16 N
- The force applied (18 N) is greater than the weight of the object (16 N).
- Therefore, Object 3 will move upward.
4. Object 4: 8 N
- The force applied (18 N) is greater than the weight of the object (8 N).
- Therefore, Object 4 will move upward.
Based on this analysis:
- Objects 1 and 2 will not move because the applied force is less than their weights.
- Objects 3 and 4 will move upward because the applied force is greater than their weights.
Now we check the options to see which statement reflects this analysis:
A. None of the objects will move, but the normal force on all of the objects will increase.
- This statement is incorrect because Objects 3 and 4 will move upward.
B. All of the objects will move, and Object 2 will accelerate upward the fastest.
- This statement is incorrect because Objects 1 and 2 will not move.
C. Objects 1 and 2 will move downward, and Objects 3 and 4 will move upward.
- This statement is incorrect because Objects 1 and 2 will not move downward (they will remain stationary).
D. Objects 1 and 2 will not move, and Objects 3 and 4 will accelerate upward.
- This statement is correct as it accurately describes that Objects 1 and 2 will not move, while Objects 3 and 4 will move upward.
Thus, the statement supported by the data in the table is:
D. Objects 1 and 2 will not move, and objects 3 and 4 will accelerate upward.
