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27 Nov 2019

A 57-kg bungee jumper has fallen far enough that her bungee cord is beginning to stretch and resist her downward motion. Find the force (magnitude and direction) exerted on her by the bungee cord at an instant when her downward acceleration has a magnitude of 5.9 m/s2. Ignore the effects of air resistance.

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Jarrod Robel
Jarrod RobelLv2
30 May 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A 65kg bungee jumper steps off a bridge with a light bungee cordtied to her and to the bridge. The unstretched length of the cordis 11m. The jumper reaches the bottom of her motion 36m below thebrigde before bouncing back. Her motion can be separated into an11m free fall and a 25m section of simple harmonic motion.
a)For the free-fall part, what is the appropriate analysis model todescribe her motion?
b) For what time interval is she in free fall?
c) For the simple harmonic oscillation part of the plunge, is thesystem of the bungee jumper, the spring, and the Earth isolated ornon-isolated?
d) From your response in part (c) find the spring constant of thebungee cord.
e)What is the location of the equilibrium point where the springforce balances the gravitational force exerted on the jumper.
f) What is the angular frequency of the oscillation?
g) What time interval is required for the cord to stretch by 25.0m?
h)What is the total time interval for the entire 36.0 m trip?

A 90.0 kg bungee jumper steps off a bridge with a light bungee cordtied to herself and to the bridge . The unstretched length of thecord is 11.0 m. She reaches the bottom of her motion 36.0 m belowthe bridge before bouncing back. Her motion can be separated intoan 11.0 m free-fall and a 25.0 m section of simple harmonicoscillation.


(a) For what time interval is she in free-fall?
s
(b) Use the principle of conservation of energy to find the springconstant of the bungee cord.
N/m
(c) What is the location of the equilibrium point where the springforce balances the gravitational force acting on the jumper? Notethat this point is taken as the origin in our mathematicaldescription of simple harmonic oscillation.
3 m below the bridge
(d) What is the angular frequency of the oscillation?
rad/s
(e) What time interval is required for the cord to stretch by 25.0m?
s
(f) What is the total time interval for the entire 36.0 mdrop?
s

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