Abox is sitting stationary on a ramp that is 42° to the horizontal. the box has a gravitational force of 112.1 n. what is the minimum amount of force that can be applied to the box to get the box to move? 70 n 75 n 80 n 83 n

We should draw a Free Body Diagram of the box here. As the box is sitting on a ramp 42 degrees to the horizontal. It experiences only one force that is the gravitational force (mg) downwards whose value is given to be 112.1 N.

Now if we take components of this force.

We get one component as mg sin (Theta) Sliding Downwards from the ramp slope.

We get another component as mg cos (Theta) into the ramp.

Now to move the box we must apply a force opposite to the mg sin (Theta) component as that is the only movable plane.

So the minimum force will be equal to mg sin (Theta)

= 112.1 * Sin( 42 degrees)

= 75 N approximately ( Answer is B)  

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.