In this scenario, both students are pulling on the rope with an equal force of 35 N in opposite directions.
To find the net force, we add the forces considering their directions:
- One student pulls to the left with a force of 35 N (we can consider this as -35 N).
- The other student pulls to the right with a force of 35 N (we can consider this as +35 N).
Calculating the net force:
\[ \text{Net force} = 35 \text{ N} (right) + (-35 \text{ N}) (left) = 0 \text{ N} \]
Since the net force is 0 N, this means there is no unbalanced force acting on the rope.
Therefore, the rope will stay stationary.
The correct answer is:
- 0 N; the rope will stay stationary.