Question

an adventurous archaelogist (m=85.0 kg) tries to cross a river by swinging from a vine. the vine is 10.0 m long, and his speed at the bottom of the swing is 8.00 m/s. the archaelogist doesnt know that the vine has a breaking strength of 1,000 N. does he make it across the river without falling in?

Answer 1

lgba i want u to be here for a while please

Answer 2

@lgbasallote

Answer 3

yes im here

Answer 4

ok ! so .. can u calculate the weight of adventurus archaelogist ?

Answer 5

i am taking adventurous archaelogist as X ... ok ?

Answer 6

w = mg

Answer 7

Weight = mg ..
Weight = 85 kg. * 9.8 \(ms^{-2}\)

Answer 8

ys i got the weight

Answer 9

i think it's 522 if i remember right

Answer 10

hence we have weight = 833 N .
good ..
Now do you the equation of centripetal acceleration ?

Answer 11

a = v^2/r

Answer 12

85 * 9.8 = 833 N ............................. not 522 ... check it again @lgbasallote

Answer 13

saurav shakya ... Please let lgba .. do ..

Answer 14

oops lol 522 was the one i did for centripetal force

Answer 15

83.3 N

Answer 16

833 N

now centripetal acceleration = \(\frac{v^2}{R}\)

Answer 17

right ?

Answer 18

yup

Answer 19

ok so ... R = 10 m ... and v = 8 \(ms^{-1}\)

Answer 20

now, tension = weight of the adventurous archaelogist + centripetal force

Answer 21

sounds legit

Answer 22

centripetal acceleration = \(\frac{64}{10}=6.4\)

Answer 23

centripetal acceleration = 6.4 \(ms^{-2}\)

Answer 24

uh huh

Answer 25

sum of the forces on X = mass * acceleration = 85 kg * 6.4 \(ms^{-2}\) =544 N

Answer 26

is it so

Answer 27

it's not 522?

Answer 28

so i add those forces?

Answer 29

gravity and centripetal?

Answer 30

T - mg = ma = 544 N
mg = 833 N
T = 833 N + 544 N

Answer 31

dont ou mean 83.3?

Answer 32

yes by adding them we get T .. that is above 1000 N

Hence ..... the vine will break ...

Answer 33

so he will not make it

Answer 34

uhmm oops i made m = 8.5

Answer 35

okay i got it

Answer 36

thanks

Answer 37

nice to hear. .. best of luck dude