Anew ride being built at an amusement park includes a vertical drop of 71.6 meters. starting from rest the ride vertically drops that distance before the track curves forward. if the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3,5x10^4kg, how much potential energy was converted into thermal energy? 2.3x10^7, 2.6x10^7, 4.3x107, 6.7x10^7

We can conclude 2.3x10^7 J was converted to thermal energy

Explanation:

Energy Conservation

According to the law of conservation of energy, the total energy of an isolated system must be constant. If some kind of energy is 'lost', we know it was transformed into another type.

Let's check the conditions of the problem. The ride vertically drops a distance of 71.6 m starting from rest, and at the bottom of the drop, its speed is 10 m/s. Knowing the mass of the cart plus passengers is 3.5X10^4 kg, we compute the total energy at the top of the drop.

Where E is the total energy (which must be conserved) at the top of the drop, U is the gravitational potential energy and K is the kinetic energy. We use the equations for each:

At the top, the speed is 0, thus

Now we compute the 'total' energy at the bottom (quoted because we know there is some mechanical energy loss in the drop)

This time h'=0 and v=10 m/s, thus

The mechanical energy at the top and the bottom are not the same, thus we can know part of it was converted to heat or thermal energy. We compute the difference

We can conclude 2.3x10^7 J was converted to thermal energy

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: option c.

explanation: