Aroller coaster loaded with passengers has a mass of 2000 kg; the radius of curvature of the track at the lowest point of the track is 24 m. if the vehicle has a tangential speed of 18 m/s at this point, what force is exerted on the vehicle by the track?

The force is exerted on the vehicle by the track is 46600 N

Explanation:

It is given that,

Mass of the roller coaster, m = 2000 kg

Radius of the circular track, r = 24 m

Tangential speed of the vehicle, v = 18 m/s

Let W is the weight of the roller coaster, F is the force is exerted on the vehicle by the track and is the centripetal force. So,

F = 46600 N

So, the net force exerted on the vehicle by the track is 46600 N. Hence, this is the required solution.

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.

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.