Tension and Magnitude

Question

A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 1 meters. What is the magnitude of the tension on the ends of the clothesline? Also- Use g= 9.8 m/s^2 for gravitational acceleration.

I got the tension to equal about 50 N, but it says this is wrong.

If you could explain how you get your answer, I would appreciate it.

Answer 1

Your answer seems pretty close to the correct one (100 N), so I imagine your process wasn't far off. I hope this video helps.

Note: normally I'd like to take a more principled approach with Newtons' Second Law, but I thought this route would be more clear.