a torque of 100Nm is required to open a door. WHAT IS the minimum distance of the handle fromt he hinge. if the door is to be pulled open wth a force at handle not greater than 50N?

At least .

Explanation:

The torque that a force exerts on a lever is equal the product of the following:

.

The force in this question is (at most) . That is: .

is maximized when . In other words, the force on the door gives the largest-possible torque when that force is applied perpendicular to the door. When , .

If the force here is applied at a distance of meters away from the hinge (the fulcrum of this door,) the torque generated would be:

.

That torque is supposed to be at least . That is:

.

.

In other words, the force needs to be applied at a point a minimum distance of away from the hinge of this door.

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.