A 66.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 12.0 m. The jumper reaches reaches the bottom of her motion 35.0 m below the bridge before bouncing back. We wish to find the time interval between her leaving the bridge and her arriving at the bottom of her motion. Her overall motion can be separated into an 12.0-m free-fall and a 23.0-m section of simple harmonic oscillation. (a) For the free-fall part, what is the appropriate analysis model to describe her motion. O particle under constant angular acceleration O particle under constant acceleration O particle in simple harmonic motion (b) For what time interval is she in free-fall? S (c) For the the simple harmonic oscillation part of the plunge, is the system of the bungee jumper, the spring, and the Earth isolated or non-isolated? O isolated O non-isolated (d) From your response in part (c) find the spring constant of the bungee cord. N/m (e) What is the location of the equilibrium point where the spring force balances the gravitational force exerted on the jumper? m below the bridge (f) What is the angular frequency of the oscillation? rad/s

A 66.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 12.0 m. The jumper reaches reaches the bottom of her motion 35.0 m below the bridge before bouncing back. We wish to find the time interval between her leaving the bridge and her arriving at the bottom of her motion. Her overall motion can be separated into an 12.0-m free-fall and a 23.0-m section of simple harmonic oscillation. (a) For the free-fall part, what is the appropriate analysis model to describe her motion. O particle under constant angular acceleration O particle under constant acceleration O particle in simple harmonic motion (b) For what time interval is she in free-fall? S (c) For the the simple harmonic oscillation part of the plunge, is the system of the bungee jumper, the spring, and the Earth isolated or non-isolated? O isolated O non-isolated (d) From your response in part (c) find the spring constant of the bungee cord. N/m (e) What is the location of the equilibrium point where the spring force balances the gravitational force exerted on the jumper? m below the bridge (f) What is the angular frequency of the oscillation? rad/s

Name: A 66.0-kg bungee jumper steps off a bridge with a light bungee cord t
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: A 66.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 12.0 m. The jumperreaches reaches the bottom of her motion 35.0 m below the bridge before bouncing back. We wish

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A particle moves with amplitude A and period T, as shown in the figure. Express the following in…

A: please see the next for solution

Q: The New England Merchants Bank Building in Boston is 152 mm high. On windy days it sways with a…

Q: A 67.0 kg daredevil exhibitionist hangs on to the end of a long bungee cord attached to the railing…

A: Given that mass of the daredevil is 76.0kg. Spring constant of bungee cord is 115N/m. Oscillation…

Q: Given: 4y"+12y'+13y=0; y(0)=1; y'(0)=-1 A) Find the answer in amplitude form. B) Find time in which…

Q: A damped SHO has Q-factor . If its natural frequency is v2 rad/s then what is its oscillation…

Q: consider a double pendulum. what physical quantities are conserved

A: We can see there is no dependence on l1 ˙ & l2 ˙ So the corresponding momentans will be…

Q: The position with time of an object is given by x(t) = A cos(ωt). If the amplitude is 1.53m, and the…

A: Position of an object is xt=Acosωt Amplitude is A=1.53 m Frequency is f=2.5 Hz Find: Object's…

Q: 14. GP Review. A 65.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her body…

Q: A building is being knocked down with a wrecking ball, which is a big metal sphere that swings on a…

A: Given: The length of the cable is L = 10 m.

Q: The height (m) of a spring over time, in seconds, can be modeled by the function h(t) = 3cos3t + 3…

A: Given data: The height of spring is, ht=3cos3t+3 The time interval is t∈0, π

Q: m having trouble with this practice problem. I was given the answer key: a.) 3.24 m/s b.) 2.65 m…

Q: A 1.2 kg block sliding at 5.4 m/s on a frictionless surface runs into and sticks to a spring. The…

A: The objective of the question is to determine the amplitude of the vibrations that start after the…

Q: a 6 inch happy pendulum, is released with a velocity of 0.05 rad/s towards the vertical from a…

Q: One kind of cuckoo clock keeps time by using a mass bouncing on a spring, usually something cute…

A: Given, Mass of the spring m = 0.013 kg Time period T = 0.45 sec Let force constant of the spring is…

Q: A simple pendulum on the Moon has a length of 1.45m and a corresponding period of 5.93 seconds. What…

A: To determine the gravitational acceleration on the moon, we will use equation for time period of…

Q: A building in San Francisco has light fixtures consisting of small 2.35-kgkg bulbs with shades…

A: The model is of a pendulum of length 1.5 m The time period is given by T=2πlg

Q: The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a…

A: Please see the attached image for the solution.If there are queries, please do not hesitate to ask.…

Q: A mass of 0.78 kg is is initially traveling at across a horizontal surface. It then reaches a spring…

Q: 3 Neha gives an explanation for the Electromotive Brain Transducer 3000 shown below. She says that…

A: Resonance

Q: Using a small pendulum of length 0.173 m a student in a lab counts 72.0 complete swings in a time of…

A: Given Data: The Lenth of the pendulum is L = 0.173 m. The complete swings of the pendulum are n =…

Q: What is the maximum speed (in m/s) of a 4.9 g particle that oscillates between x = 2.0 mm and x =…

A: mass (m) = 4.9 g = 0.0049 kg the oscillation is between 2 mm and 8 mm The potential energy in units…

Q: e position with time of an object is given by x(t)=Acos(ωt) If the amplitude is 1.52 m, and the…

Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

A 66.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 12.0 m. The jumper
reaches reaches the bottom of her motion 35.0 m below the bridge before bouncing back. We wish to find the time interval between her leaving the bridge and
her arriving at the bottom of her motion. Her overall motion can be separated into an 12.0-m free-fall and a 23.0-m section of simple harmonic oscillation.
(a) For the free-fall part, what is the appropriate analysis model to describe her motion.
O particle under constant angular acceleration
O particle under constant acceleration
O particle in simple harmonic motion
(b) For what time interval is she in free-fall?
(c) For the the simple harmonic oscillation part of the plunge, is the system of the bungee jumper, the spring, and the Earth isolated or non-isolated?
O isolated
O non-isolated
(d) From your response in part (c) find the spring constant of the bungee cord.
N/m
(e) What is the location of the equilibrium point where the spring force balances the gravitational force exerted on the jumper?
m below the bridge
(f) What is the angular frequency of the oscillation?
rad/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Explanation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A body of mass __ = 1.10 kg lies quietly on a smooth horizontal plane resting on an ideal spring arranged along the horizontal direction of elestic constant __= 7.00 N/m compressed by __ = 1.40 m with respect to the resting length. At t=0 the spring is left free to expand and the body is accelerated. Determine 1. The module of the speed at which the body leaves the spring 2.The instant of time when it leaves the spring
If s represents the displacement and t represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time. 7) s=73 +1012+4t + 10; t=3 7) A) 137 B) 87 C) 263 D) 253 8) The power P (in W) generated by a particular windmill is given by P= 0.015 V3 where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is 9.5 mph. Round answer to the nearest tenth. A) 9.0 W/mph B) 25.7 W/mph C) 4.1 W/mph D) 0.4 W/mph 9) Murrel's formula for calculating the total amount of rest, in minutes, required after performing a particular type of work activity for 30 minutes is given by the formula R(w) = 30(w - ), where w- 1.5 w is the work expended in kilocalories per min. A bicyclist expends 6 kcal/min as she cycles home from work. Find R'(w) for the cyclist; that is, find R'(6). A) 13.33 min2/kcal C) 3.7 min2/kcal B) 2.96 min2/kcal D) 444 min2/kcal 10)…
You have a stationary mass attached to a compressed spring that is facing horizontal (on a frictionless plane). You give the mass a quick whack with a hammer, such that the mass has an initial velocity of 6.0 m/s. The amplitude of the oscillation of the mass is 4.0 m. How far is the mass from its starting position after 2.0 s? A) 0.50 m B) 0.56 m C) 0.78 m D) 1.0 m E) 1.1 m F) 2.0 m G) 2.3 m H) 4.0 m
Suppose a 78 kg person is bouncing on a bathroom scale which has a force constant of 1.25 × 106 N/m. What is the maximum velocity of the person, in meters per second, if the amplitude of the bounce is 0.235 cm? What is the maximum energy, in joules, stored in the spring?
Mice have a leg length of about 17 mm. IF we assume that they have a walking gait, what would their natual speed of walking be using our pendulum model? O 5 cm/s O 13 cm/s O 19 cm/s O 24 cm/s O 27 cm/s O 35 cm/s
What is the maximum velocity (in m/s) of a 51.0 kg person bouncing on a bathroom scale having a force constant of 1.35 ✕ 105 N/m if the amplitude of the bounce is 0.200 cm?
Tarzan rescues 35-kg chimp. Swings down from 12∘ and first comes to rest again 4 s later. How long is the vine? What is the Frequency and amplitude (in degrees) of his motion? If Tarzan has mass of 65 kg and grabs chimp at bottom of motion; what arefrequency and amplitude of motion?
券 A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each elastic band stretches 0.200 m while supporting a 5.95-kg child, what is the force constant for each elastic band? N/m (b) What is the time for one complete bounce of this child? (c) What is the child's maximum velocity if the amplitude of her bounce is 0.200 m? m/s
The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distant Garbanzo Galaxy. A scouting party sets out to explore. The party's leader–a physicist, naturally–immediately makes a determination of the acceleration due to gravity on the Pink Planet's surface by means of a simple pendulum of length 1.18 m. She sets the pendulum swinging, and her collaborators carefully count 103 complete cycles of oscillation during 217 s. What is the result?
A 5.00 g particle oscillating in simple harmonic motion has its position given bythe equation: x(t) = (2.5 cm) cos (36.5 t) At what time is the particle at the 2.00 cm mark?
A pendulum with a period of 2.00 s in one location (9.80 m/s2 ) is moved to a planet where the period is now 4.25 s. What is the acceleration due to gravity at its new location?