Question

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question 10
1 pts
a student pulls on a tug of war rope to the left with a force of 10 newtons. another student pulls on the rope to the right with a force of 10 newtons. can we say for certain that the rope is motionless?
○ yes, the rope is definitely motionless.
○ no, the rope might not be motionless.

Explanation:

Step1: Analyze the forces

The left - pulling force is \( F_{left}=10\space N \) and the right - pulling force is \( F_{right}=10\space N \). These two forces are in opposite directions along the same line. According to the principle of force equilibrium, the net force \( F_{net}=F_{right}-F_{left} \) (taking right as positive). Substituting the values, we get \( F_{net}=10 - 10=0\space N \).

Step2: Relate net force to motion

According to Newton's first law of motion, an object will remain in its state of motion (either at rest or moving with a constant velocity) if the net force acting on it is zero. If the rope was initially motionless (at rest), with a net force of zero, it will remain motionless. If it was initially moving with a constant velocity, it would continue to move with that velocity. But in the context of a tug - of - war, we can assume the rope starts from rest. So when the net force is zero, the rope will be motionless.

Answer:

A. Yes, the rope is definitely motionless.