When you push down on the handle of a doll-like wooden nutcracker, its jaw pivots upward and cracks a nut. If the point at which you push down on the handle is 5 times as far from the pivot as the point at which the jaw pushes on the nut, how much force will the jaw exert on the nut if you exert a force of 17 N on the handle

The force exerted by the jaw on nut is 85 N

Explanation:

The wooden nutcracker forms an angle 90° with the jaw pivot to crash a nut

The net torque on this system = 0

we can say distance of force applied sin90° = length of force on nut sin90°

Note that distance of the applied force to the nut is 5 times = 5L

dFapp(sin90) = LFnuts(in90)

but sin90 = 1

and distance d = 5L

and exerted force = 17N

substituting for d, we will have

5LF = LF

divide both sides by L and we will have

5Fapp = Fnut

F on nut = 5*17

Force exerted by jaw on nut = 85 N

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.