A gas flows along the x axis with a speed of V = 5x m/s and a pressure of p = 10x2 N/m2, where x is in meters. (a) Determine the time rate of change of pressure at the fixed location x = 1. (b) Determine the time rate of change of pressure for a fluid particle flowing past x = 1. (c) Explain without using any equations why the answers to parts (a) and (b) are different

a)

b)

c) The answers to parts a) and b) are different because the rate of change of pressure is a function of position and in the two cases the position changes. In the later case the position is greater than 1 and the former case it is equal to 1.

Given:

expression of the speed of gas flow,

expression for the pressure of gas,

a)

Time rate of change of pressure at x=1:

............................(1)

now at point x=1

b)

From equation (1):

When x>1 then the rate of change in pressure:

c)

The answers to parts a) and b) are different because the rate of change of pressure is a function of position and in the two cases the position changes. In the later case the position is greater than 1 and the former case it is equal to 1.

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.

3.2x10^7