A horse pulls a barge along a canal using a rope 10m long. If the barge is 2 m from the bank, the rope is taut

and the tension in it is 500N, what are the components of

this force:

a at right-angles to the canal:

b along the line of the canal?

Explanation:

Here the rope is 10m long and making an angle of θ with the  direction of canal or direction of flow of water in the canal .

sinθ =  2 / 10 = .2

θ = 11.5⁰

a )

Component of 500 N along the line perpendicular to the canal

= 500 sinθ  

= 500 sin 11.5

= 100 N

b )

component of 500 N along the canal

= 500 cos 11.5

= 490 N approx .

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.

the answer is a. the yacht traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

im doing peak rn so sry if its wrong