Tarzan and jane, wholse toatl mass is 130 kg starts their swing on a 5m long vine is at an angle of 30 degree with the horizontal. at the bottom of the arc, jan, whose mass is 50kg releases the vine. what is the maximum height at which tarzan can land on a branch after his swing continues? (hint: treat tarzan's and jane's energyies as separate quantities)

h' = 2.5 m

Explanation:

combine mass of Tarzan and Jane, M= 130 Kg

height of vine = 5  m

angle made with horizontal = 30°

mass of Jane , m= 50 Kg

angle made with vertical = 60°

cos 60° = x/5

x = 5 x 0.5

x = 2.5 m

h = 5 - 2.5 = 2.5 m

using conservation of energy

mechanical energy is converted into kinetic energy

    v = 7 m/s

total energy when Jane leaves

Total energy =

Total energy =

Total energy =1960 J

now,

maximum height attain by the Tarzan

m' g  h' = total energy

80 x 9.8 x h' = 1960

h' = 2.5 m

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.

trig 15.3 cos