A 55.0 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 15.0 m. She reaches the bottom of her motion 40.0 m below the bridge before bouncing back. Her motion can be separated into an 15.0 m free-fall and a 25.0 m section of simple harmonic oscillation. Use the principle of conservation of energy to find the spring constant of the bungee cord.

Answers

Answer 1

Answer:

[tex]69.06\ \text{N/m}[/tex]

Explanation:

m = Mass of bungee jumper = 55 kg

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

h = Height at the bottom = 40 m

k = Spring constant

x = Displacement of bungee cord = 25 m

Applying the principle of conservation of energy to the system we have

[tex]mgh=\dfrac{1}{2}kx^2\\\Rightarrow k=\dfrac{2mgh}{x^2}\\\Rightarrow k=\dfrac{2\times 55\times 9.81\times 40}{25^2}\\\Rightarrow k=69.06\ \text{N/m}[/tex]

The spring constant of the bungee cord is [tex]69.06\ \text{N/m}[/tex].


Related Questions

An electric motor supplies 2,500 Watts of power in a 220 V circuit. What is the resistance of the motor? Be sure to include the proper units in your answer. Remember... Ω is the unit for Resistance.

Answers

Answer:

R = 19.36  ohms

Explanation:

Given that,

The power of an electric motor, P = 2500 Watts

The voltage of the circuit, V = 220 V

We need to find the resistance of the motor. We can find it as follows :

[tex]P=\dfrac{V^2}{R}\\\\R=\dfrac{V^2}{P}\\\\R=\dfrac{(220)^2}{2500}\\R=19.36\ \Omega[/tex]

So, the resistance of the motor is 19.36  ohms.

A projectile is thrown with a velocity of 40 m/s, 45 degrees above the +x-axis. Determine its initial x-velocity and its initial y-velocity.

Answers

x-component is V·cos(angle)

y-component is V·sin(angle)

When the angle is 45°, its sin and cos are both 1/2·√2 .

Vx = 20·√2 = 28.28 m/s

Vy = 20·√2 = 28.28 m/s

Please please help I'm stuck!!!

Answers

Answer: iDc im in 3grade

Explanation:sorry

I GOTCHU THE ANSWER IS 2.44s

In which situation is static electricity most likely to form?

Elizabeth switches on a light.
Jack holds a plastic comb close to a stream of water.
Marie drives a car.
Cooper bakes a cake. plssssssssssss answer not in a meen way but corrrect answer only plsssssssssssss answer correct i will drop a thx and rate yo stars ans give you brainlyest

Answers

Answer:

I'd go for 'Marie drives a car'

Explanation:

Static electricity will possible form in all the scenarios, but is more likely to form when you're driving a car. This is due to the friction between the body of the car and the particles in the air around the body of the car. This is why chains are sometimes attached to fuel tankers when transporting them. The chain is made to touch the ground so that any charge built up can be safely conducted to the earth, reducing the chances of a fire outbreak due to charges igniting the fuel.

Answer:

i think its a, sorry if im wrong

Explanation:

Energy is radiated or transmitted in the form of rays or waves or particles.
B. radiation
C. convection
D. conduction

Answers

Answer:

B radiation

Explanation:

every type of transmitted waves are radioactive in a way.

Changes of
Which now represents the change of state described
above?
M
ham shows changes of state between solid.
se atoms of a substance lase energy
Bacharest Betore the change, the atoms
ether but are able to slide past one another

Answers

Answer:b yuh

Explanation:

Yuh

I think it’s b sorry if I’m wrong

The square plates of a 3000-pF parallel-plate capacitor measure 40 mm by 40 mm and are separated by a dielectric that is 0.29 mm thick and completely fills the region between the plates. What is the dielectric constant of the dielectric?

Answers

Answer:

The square plates of a 3000-pF parallel-plate capacitor measure 40 mm by 40 mm and are separated by a dielectric that is 0.29 mm thick and completely fills teh region between the plates.

Explanation:

for the hypothetical salaries in the following
dataset, what is the average salary per year?
Data set of hypothetical salaries: $46,000 per year,
$20,000 per year, $33,000 per year, $27,000 per year,
$91,000 per year.

Answers

Answer: $43400 per year

Explanation:

The Data set of hypothetical salaries is given as:

$46,000 per year,

$20,000 per year,

$33,000 per year,

$27,000 per year,

$91,000 per year.

The average salary per year will be the addition of the salaries per year above which will then be divided by 5. This will be:

= ($46,000 + $20,000 + $33,000 + $27,000 + $91,000) / 5

= $217000/5

= $43400 per year

The average salary per year will be $43400

Suppose that 2 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 42 cm. (a) How much work is needed to stretch the spring from 32 cm to 34 cm

Answers

Answer:

Workdone = 0.025 Joules

Explanation:

Given the following data;

Workdone = 2J

Extension = 42 - 24 = 18 cm to meters = 18/100 = 0.18m

The workdone to stretch a string is given by the formula;

Workdone = ½ke²

Where;

k is the constant of elasticity.

e is the extension of the string.

We would solve for string constant, k;

2 = ½*k*0.18²

2 = ½*k*0.0324

Cross-multiplying, we have;

4 = 0.0324k

k = 4/0.0324

k = 123.46 N/m

a. To find the workdone when e = 32, 34.

Extension = 34 - 32 = 2 to meters = 2/100 = 0.02m

Workdone = ½*123.46*0.02²

Workdone = 61.73 * 0.0004

Workdone = 0.025 Joules

Therefore, the amount of work (in J) needed to stretch the spring from 32 cm to 34 cm is 0.67.

To teach you how to find the parameters characterizing an object in a circular orbit around a much heavier body like the earth.
The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit--a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant.
1. Find an expression for the square of the orbital period.
2. The quantities v, K, U, and L all represent physical quantities characterizing the orbit that depend on radius R. Indicate the exponent (power) of the radial dependence of the absolute value of each.

Answers

Answer:

a)  T² = ([tex]\frac{4\pi ^2}{GM}[/tex])  r³

b) veloicity the dependency is the inverse of the root of the distance

kinetic energy  depends on the inverse of the distance

potential energy dependency is the inverse of distance

angular momentum depends directly on the root of the distance

Explanation:

1) for this exercise we will use Newton's second law

            F = ma

in this case the acceleration is centripetal

            a = v² / r

the linear and angular variable are related

           v = w r

we substitute

           a = w² r

force is the universal force of attraction

           F = [tex]G \frac{m M}{r^2}[/tex]

we substitute

         [tex]G \frac{m M}{r^2} = m w^2 r[/tex]

         w² = [tex]\frac{GM}{r^3}[/tex]

angular velocity is related to frequency and period

         w = 2π f = 2π / T

we substitute

            [tex]( \frac{2\pi }{T} ) = \frac{GM}{r^3}[/tex]

the final equation is

             T² = ()  r³

b) the speed of the orbit can be found

           v = w r

            v = [tex]\sqrt{\frac{GM}{r^3} } \ r[/tex]

            v = [tex]\sqrt{\frac{GM}{r} }[/tex]

in this case the dependency is the inverse of the root of the distance

Kinetic energy

           K = ½ M v²

           K = ½ M GM / r

           K = ½ GM² 1 / r

the kinetic energy depends on the inverse of the distance

Potential energy

          U =

          U = -G mM / r

dependency is the inverse of distance

Angular momentum

          L = r x p

for a circular orbit

           L = r p = r Mv

           L =

         L =

The angular momentum depends directly on the root of the distance

how are characteristics of electromagnetic waves affected by medium

Answers

Answer:

Hello,

QUESTION)

Light is an electromagnetic wave, its speed is maximum in space and almost in the air where interactions have almost no effect. In other non-opaque media, light is subject to several phenomena: refraction and reflection. Part of the incident ray will be reflected in the same medium while the other part will be refracted in the new medium with a lower speed. In general, the medium influences the speed, and therefore the wavelength.  

How do sociologists view the categories of race, class, and gender?

Multiple Choice

1. inherent and inevitable
2. socially constructed
3. unchangeable and perpetual
4. natural and biologically determined​

Answers

Answer:

2. Socially constructed

Explanation:

A stone with a mass of 0.600 kg is attached to one end of a string 0.900 m long. The string will break if its tension exceeds 50.0 N. The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed.
A. Draw a free-body diagram of the stone.
B. Find the maximum speed the stone can attain without breaking the string.

Answers

Answer:

8.7 m/s

Explanation:

Given data

Mass= 0.6kg

radius= 0.9m

Force= 50N

A. Please see attached the FBD of the stone

B. Apply the formula

F= mv^2/r

Substitute

50= 0.6*v^2/0.9

cross multiply

50*0.9= 0.6v^2

45= 0.6v^2

v^2= 45/0.6

v^2= 75

v= √75

v= 8.7 m/s

Hence the maximum speed attained without breaking the string is 8.7 m/s

Is there more than one way to get two objects with identical masses to balance? How?

Answers

Answer: yes you can

Explanation: because i i have a trying and a squar that have the same mass it would caunt as the same

Yes we can get two objects with identical masses to balance in this type of scenario.

What is Mass?

This is defined as the quantity of matter which is present in a body at a given point in time.

The two objects with identical masses can be made to balance through the use of a string and a pulley.

Read more about Mass here https://brainly.com/question/19385703

#SPJ9

Please help
A 90 kg football player is running at 0.9 m/s. Assuming a head on collision, at what speed would a 110 kg football player have to run into the 90 kg
player in order to stop him

Answers

Answer:

The two moments must be the same:

p1=p2

m1v1=m2v2

v2=(m1v1)/m2

v2=(90 kg x 0.9 m/s)/110kg=0.7 m/s

PLEASE HELP ME WITH THIS ONE QUESTION
What is the final temperature when 625 grams of water at 75.0° C loses 7.96 x 10^4 J? (cwater = 4186 J/kg°C)

Answers

Answer:

T_f = 44.6 ° C

Explanation:

We can solve this exercise using the calorimetry relations

          Q = m c_e ΔT

          ΔT = [tex]\frac{Q}{m \ c_e}[/tex]

let's calculate

          ΔT = -7.96 10⁴ /(0.625 4186)

          ΔT = -3.04 10¹

The negative sign indicates that the temperature decreases

the temperature variation is

          T_f - T₀ = ΔT

          T_f = T₀ + ΔT

          T_f = 75.0 - 30.4

          T_f = 44.6 ° C

Gaseous sulfur dioxide is a compound that combines with water in the atmosphere to form acid rain. What is the primary source of sulfur dioxide?
O volcanic emissions
O combustion of fossil fuels
O destruction of tropical forests
O mining and mineral extraction

Answers

The answer is combustion of fossil fuels.

PLEASE HELP ME WITH THIS ONE QUESTION
Two substances of different temperatures are brought into thermal contact. While the objects come to equilibrium, some heat is lost to the environment. How would that affect the final temperature?

A) it would be higher

B) it would change unpredictably

C) it would remain the same

D) it would be lower

Answers

Answer:

the correct  is D

Explanation:

In the calorimetry exercises, if there are no losses, we assume that all the heat lost by one body is absorbed by the other, but if there are losses

         Q_ {yielded} = Q_ {absent} + Q_ {lost}

Since energy cannot be created or destroyed, they only ask to change, therefore the term of the absorbed heat must decrease, consequently the final temperature of the system is lower when there is loss of energy.

When checking the answers, the correct one is D

distace x time graph will be ................ if the body is in ununiform motion​

Answers

A non-straight ... possibly a zig-zag, wiggly, curvy, or snaking ... line. But always rising.

Answer:

Uniform: Straight line; Non uniform: Curved.

Explanation:

Have a great day

How to calculate the voltage of a light bulb

Answers

There hope it helps u.

Which is TRUE about static electricity?

It is a stationary electric charge that builds up on an insulating material and is discharged when another material touches it.


It can flow from an electric outlet along a wire to a lamp.

It travels in a circuit.

It usually has a switch that allows you to turn something on or off.

plssssssssssssss answer correct pls correct answers only plsssss not in a mean way

Answers

Answer:

the first one stationary charge

first oneeeeeeeeeeeeeeeeeeee

Chromosomes _____.

carry thousands of genes
can be analyzed in a karyotype
always occur in pairs
are tight coils of DNA
are carried on genes

Answers

Answer:

The correct answer for this would be D.

Explanation:

Are tight coils of DNA

Coulomb is the unit of which quantity?

Answers

Answer:

electric charge

Answer:

Electric charge.

Explanation:

Coulomb, unit of electric charge in the metre - kilogram - second - ampere system, the basis of the SI system of physical units. It is abbreviated as C. The coulomb is defined as the quantity of electricity transported in one second by a current of one ampere.

Charging by Contact examples​

Answers

Answer:

the hair and the comb are both neutral



PLEASE HELP!!!


Thunder is a sound wave created

by a lightning strike. If it travels at

343 m/s, how much time does it

take to travel a mile (1610 m)?

(Unit = s)

Answers

Answer:

t = 9.38 s

Explanation:

Given that,

The speed of the sound wave, v = 343 m/s

Distance, d = 1610 m

We need to find the time taken to travel a mile. The distance traveled by the sound is 2d. Using the formula for speed,

[tex]v=\dfrac{2d}{t}[/tex]

t is the time taken to travel a mile

So,

[tex]t=\dfrac{2d}{v}\\\\t=\dfrac{2\times 1610}{343}\\\\t=9.38\ s[/tex]

So, it will take 9.38 seconds.

Answer:

4.69s

Explanation:

The formula to find time is time = distance / velocity

Plug the numbers into the formula

So

1610 / 343

= 4.69s

A police car drives with a constant speed of 70km/hr. how long will it take to cover a distance of 135km?
(btw, it's a physics question:-)​

Answers

Explanation:

36. How long does it take a car to slow down from a speed of 54 km/h to 32 km/h over a distance of 65 m? Answer in seconds. 37.

What aquatic species is the least susceptible to acid rain? (Refer to the chart in the lesson to answer this question.)

a bass
b Baetis mayflies
c Bullfrogs
d Rainbow Trout

Answers

Answer:

c. Bullfrogs

Explanation:

I did this lesson and got it right! :)

TOINETS
Assuming that distances are
equal, which of the following
objects would have the MOST
gravitational force with you?
A. Jupiter
NETTUNE
B. Earth
UNIVERSE
C. Sun

Answers

Answer:

The sun.

Explanation:

The sun has the most gravitational pull.

The sun hope this helps

Which phrase best completes the diagram?

Role of the Federal Reserve in the U.S. economy:

Sets interest rates➡️?➡️Loans money to other banks

A. Approves the federal budget.
B. Votes on coporate regulations.
C. Sets the consumer price index.
D. Makes rules for other banks.

Correct answer is:

D. Makes rules for other banks.​

Answers

Answer:

B

Explanation:

i think

Answer:

D. makes rules for other banks

Explanation:

The diagram illustrates the movement of sound waves between an observer and a race car. As the race car drives away from the observer, notes that the sound from the car gets quieter and the pitch lowers. Which statement is the MOST plausible question the observer might ask to explain the
phenomenon she experiences?
A. Why does the sound of the engine change as the car drives away?
B. What is the effect of the change in speed of the car and the pitch of the sound?
C. What is the relationship between the volume of the sound and the pitch of the sound
of the car?
D. How do changes in frequency and amplitude affect the pitch of the sound generated
by the car?

Answers

I believe the answer is d
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