Ahorizontal clothesline is tied between 2 poles, 16 meters apart. when a mass of 3 kilograms is tied to the middle of the clothesline, it sags a distance of 3 meters. what is the magnitude of the tension on the ends of the clothesline? note: use g=9.8m/s2 for the gravitational acceleration.

The magnitude of the tension on the ends of the clothesline is 41.85 N.

Explanation:

Given that,

Poles = 2

Distance = 16 m

Mass = 3 kg

Sags distance = 3 m

We need to calculate the angle made with vertical by mass

Using formula of angle

We need to calculate the magnitude of the tension on the ends of the clothesline

Using formula of tension

Put the value into the formula

Hence, The magnitude of the tension on the ends of the clothesline is 41.85 N.