Recall that the spring constant is inversely proportional to the number of coils in the spring, or that shorter springs equate to stiffer springs. an object is attached to the lower end of a 14-coil spring that is hanging from the ceiling. the spring stretches by 0.174 m. the spring is then cut into two identical springs of 7 coils each. as the drawing shows, each spring is attached between the ceiling and the object. by how much does each spring stretch?

Explanation:

Using the tension in the spring and the force of the tension can by describe by

T = kx

, T = mg

Therefore:

With two springs, let, T1 be the tension in each spring,  x1 be the extension of each spring.  The spring constant of each spring is 2k so:

Solve to x1

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

total distance/total time

(85 + 82)/(5+3)

167/8

20 just over