Physics, 11.02.2020 04:29 maxwellirowa10oy9yaf

At time t = 0 an elevator starts moving upward from the ground at a constant speed vo. At a later time t = T1 = 2.35s a marble is "let go" through the floor. In other words, imagine a marble resting on the floor of the elevator and a trap door of sorts opening up from under the marble. The marble then hits the ground at a still later time t = T2 = 11.2s.

1. What is the maximum height (above the ground) that the marble reaches in this process?

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Answer from: cxttiemsp021

$\frac{v_o^2}{19.62} + 2.35v_o$

Explanation:

The marble released through the trap door inside the elevator going upward at a speed vo would have an upward velocity of vo, but begins to experience a downward acceleration g = 9.81m/s^2. This is essentially same as throwing the marble up at a speed of vo. We can solve for the greatest height using the law of energy conservation.

When the marble is traveling up, its potential energy is converted to kinetic energy:

E_p = E_k

mgh = mv_o^2/2

where m is the marble mass and h is the vertical distance traveled from the releasing point to the maximum height.

We can divide both sides by m

gh = v_o^2/2

$h = \frac{v_o^2}{2g} = \frac{v_0^2}{2*9.81} = \frac{v_0^2}{19.62}$

This is only partial of the height from the ground. To find the total height we need to add the height from the ground to the release point, which is the distance traveled by the elevator within time t = 2.35s at speed vo

$\frac{v_o^2}{19.62} + 2.35v_o$

Plug in the value for vo and we can calculate the maximum height

Answer from: Quest

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.

Answer from: Quest

The objects do not reach terminal velocity there is not enough time from the time the object falls from when it hits the ground to achieve terminal velocity. an object must be placed higher to achieve terminal velocity in order to be in free fall.

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At time t = 0 an elevator starts moving upward from the ground at a constant speed vo. At a later ti...