A 50-kg bungee jumper jumps from a bridge. She is tied to a 14 m-long bungee cor

Question

A 50-kg bungee jumper jumps from a bridge. She is tied to a 14 m-long bungee cord and falls a total of 39.m (a) Calculate the effective spring constant of the bungee cord N/m (b) Where will the bungee jumper experience the greatest acceleration? Choose one answer only. Owhen he first begins to fall O just before the bungee begins to stretch just after the bungee begins to stretch when the bungee is fully stretched (c) Find the maximum acceleration of the jumper. Take upward to be the positive direction. m/s2

Explanation / Answer

mass, m=50kg

length of the cord, l=14m

height of the bridge, h=39m

compression , x=h-l

x=39-14

x=25m

a)

use,

1/2*k*x^2 =m*g*h

1/2*k*25^2 =50*9.8*39

==> k=61.152 N/m

spring constant, K=61.152 N/m

b)

the correct option is " when the bungee is fully strethed"

c)

use,

m*a_max=K*x-m*g

50*a_max=61.152*25-50*9.8

===> a_max=20.776 m/sec^2

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