The tension on each segment of the clothesline is : 110 N
<u>Given data : </u>
mass of object = 100 n = 10 kg
Horizontal distance of clothesline = 4 m
middle of clothesline sag s by : 1m
<h3 /><h3>Determine the tension on each segment of clothesline</h3>
<u>First step</u> : calculate the horizontal angle made by the sagging
β = arctan ( 1 m / 2m ) ----- ( 1 )
= arctan ( 0.5 )
≈ 26.57°
Note : Tension in th y axis ( Ty ) = Tsinβ
Therefore :
Tension on each segment can be calculated using the formula below
2Tsinβ - mg = 0
solve for T
T = mg / 2sinβ
= ( 10 * 9.8 ) / 2 * sin 26.57°
= 98 / 0.89
= 110 N
Hence we can conclude that the tension on each segment of the clothesline is : 110 N
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At first situation, ratio = x/y = 1/5
5x = y -------Equation (i)
Now, after adding 5 more red, it is = x + 5 / y+5 = 1/3
y+5 = 3(x + 5)
y + 5 = 3x + 15
y - 3x = 15 - 5
Substitute the value of y from equation (1),
5x - 3x = 15 - 5
2x = 10
x = 10/2
x = 5
Originally, There were 5 red marbles in the bag
Hope this helps!
- The meaning of this excerpt is that the walk from prison to scaffolding seemed a long and treacherous journey to Hester
Scarlet letters was a book written in the Puritan Massachusetts Bay Colony from 1642-1649. The book is about a woman called Hester Prynne, who had a female child via an affair and had to live a hard life to make a new life of repentance and dignity.
The statement above means that the journey of Hester was not an easy one as it was long, tiring and betrayals along the way but she still kept moving.
Conclusively we can say that Hester hard a very hard life full with struggles, betrayals, but she still kept moving.
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Answer: The two hyperboles in this excerpt are: "I'll never forget you as long as I live" and "the mine is worth far more than he asks for it".
Explanation:
The time guests should arrive for the 9 am opening is 8:30am.
<h3>What time should guests start arriving?</h3>
When guests are expected at an event, best practice is to arrive 15 minutes before the opening time. If 30 minutes is subtracted from 9am it is 8:30 am.
If guests aim to arrive at exactly at 9am, it is likely that they would not be at the opening on time.
Here are the options to this question: A. 1 a.m. B. 9 a.m. C. 6 a.m. D. 8:30 a.m.
To learn more about how to calculate time, please check: brainly.com/question/26290873