The two students are pulling on the rope with equal and opposite forces of 35 N. This means the forces cancel each other out.
The net force applied to the rope is:
\[ 35 , \text{N (left)} - 35 , \text{N (right)} = 0 , \text{N} \]
Since the net force is 0 N, the rope will stay stationary.
The correct response is:
0 N; the rope will stay stationary.