Question

1. you and your friend pull on opposite ends of a rope. you each pull with a force of 10 newtons. what is the tension in the rope?

Explanation:

Step1: Analyze the forces on the rope

When you pull one end of the rope with a force \(F = 10\space N\), according to Newton's third law, the rope exerts an equal and opposite force on you. Similarly, your friend pulling the other end with \(F = 10\space N\) means the rope exerts an equal and opposite force on your friend.

Step2: Determine the tension

The tension \(T\) in the rope is the force that the rope exerts to resist being pulled apart. If we consider a small segment of the rope in equilibrium (since the rope is not accelerating, assuming it is mass - less or in a static situation), the tension in the rope must balance the force applied at each end. The tension \(T\) in a rope when two equal and opposite forces \(F\) are applied at its ends is equal to the magnitude of the applied force.

Answer:

The tension in the rope is \(10\space N\)