suppose a 51 kg bungee jumper steps off the royal gorge bridge, in colorado. The bridge is situated 321 m above the arkansas river. the bungee cords spring constant is 32 N/m, the cords relaxed length is 104m and its length is 179m when the jumpers stops falling. what is the total potential energy associated with the jumper at the end of his fall? assume that the bungee cord has negligible mass

Answers

Answer 1

The total potential energy associated with the jumper at the end of his fall is 90,000 J.

The given parameters;

mass of the jumper, m = 51 kgheight of the bridge. h  = 321 mspring constant of the cord, k = 32 N/mextension of the cord, x = 179 m - 104 m = 75 m

The total potential energy associated with the jumper at the end of his fall is calculated as follows;

U = ¹/₂kx² + mgΔh

where;

Δh is the change in height after falling

U = ¹/₂(32)(75)²  + (51)(9.8)(0)

U = 90,000 J

Thus, the total potential energy associated with the jumper at the end of his fall is 90,000 J.

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Related Questions

Students take measurements of the force F0 , directed to the left, needed to hold the cart in place as well as the tension FT in the horizontal section of string. The students take three measurements for each force. Write down the sets of measurements that would provide the most precise determination of the correct relationship between the net force and the vector sum of the individual forces exerted on the cart?

Answers

The characteristics of the random error allow to find the result for the best value of the forces is:

Using the average values ​​gives the best results.

In a measurement in physics some type of instrument is used, therefore all measurements have a precision due to the minimum amount that can be measured with the given instrument, the correct way to give the measurement is

     m = m ± Δm

     

Where m is the measure and Δm the error due to the appreciation of the instrument.

In the measurement process there are variables type that can affect the results, in general they can be divided into two groups:

Systematic errors. They are problems that can be reduced or solved, in general they move the result to a specific side, for example: calibration problems, problems with the measurement method, etc. Random errors. They are variables that change during the measurement that cannot be foreseen or controlled, for example: temperature, humidity, deformation of bodies, etc.

Statistical methods can be applied to the random type of processes to reduce their effect on the final result, one of the most efficient way is to carry out the measurement several times and since the errors are random, if we obtain the average it must be closer to the true value.

       [tex]m_{average} = \frac{\sum m_i}{n}[/tex]  

Where m_i  is each measurement and n is the number of measurements.

As a result it is

        [tex]m = m_{average} \pm \sigma[/tex]

Where σ  is the standard deviation.

It indicates that three measurements were made of each force, suppose that their values ​​are: F₀₁, F₀₂ and F₀₃, and the best value is

       [tex]F_{o \ average} = \frac{1}{3} (F_{o1} + F_{o2} + F_{o3} )[/tex]

For the tension of the body also takes three measurements.

        [tex]F_{t \ averag} = \frac{1}{3} (F_{t1} + F_{t2} + F_{t3} )[/tex]

The best value of the net forces should be obtained using the average values.

        [tex]\Delta F = F_{t \ average} - F_{o \ average}[/tex]  

In conclusion using the characteristics of the random error we can find the result for the best value of the forces is:

Using the average values ​​gives the best results.

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un paracadutista di massa 70kg scende per 100m a velocità costante.
quanta energia dissipa la resistenza del mezzo?

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Answer:

hakdbkdjsbsjzkkahzjxbdkdj

The distance from the Moon to Earth is 3.9 x 10^8 meters. What is the time required for a light ray to travel from the Moon to Earth?

Answers

Given what we know about the speed of light, we can confirm that a single ray of light would take 1.3 seconds to travel from the Moon to the Earth.

What is the Speed of Light?The speed of light, as the name suggests, is the speed at which light travels. It has a value of over 299 million meters per second.It is considered the fastest that it is possible to travel, nothing is known to travel faster than light.

Therefore, since the Moon sits at a distance of 390 million meters from the Earth, and the fact that light travels at approximately 300 million meters per second, we can confirm that light from the moon takes roughly 1.3 seconds to reach Earth.

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Increased levels of oxygen in the atmosphere due to photosynthesis caused rates of weathering to____
which aided in the formation of____
1. A.Increase
B. Decrease
C. Remain constant

2. A. Chloroplast
B. Roots
C. Soil

Answers

1. A:Increase
2. C: Soil

Increased levels of oxygen in the atmosphere due to photosynthesis caused rates of weathering to increases which aided in the formation of soil.

What is photosynthesis ?

The process in which use of solar energy occur by  plants, algae and certain bacteria convert them into chemical energy and starch called as photosynthesis.

Photosynthesis occur in chloroplast of the green plant which has its own DNA, genes and synthesize their own proteins.

photosynthetic Pigments are also involve in this process which is responsible for trapping sunlight present in chlorophyll pigment of chloroplast, like chlorophyll a, b and c.

some of the Bacteria have chlorophyll known as bacteriochlorophyll which can absorb infrared rays, Carotenoids which are yellow, orange or red-coloured pigments that absorb bluish-green light., Xanthophyll, Phycobilins.

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What is the total distance travelled? What is the displacement of the object?

Answers

Hi there!

Distance and displacement are different.

Distance is WITHOUT direction (scalar quantity)

Displacement TAKES INTO ACCOUNT direction (vector quantity), and is RELATIVE to the initial point.

DISTANCE:

Add up each segment's position:

0 - 2 sec: 0 m

2 - 5 sec: 10 - 4 = 6 m

5 - 6 sec: 0 m

6 - 8 sec: 10 - 2 = 8 m

8 - 9 sec: 0 m

9 - 12 sec: 5 - 2 = 3 m

Add up:

6 + 8 + 3 = 17 m

DISPLACEMENT:

To find displacement, simply look at the position at the final point (t = 12 sec) and compare to the initial position:

At t = 12: Position = 5 m

At t = 0: Position = 4 m

5 - 4 = 1 m

bro i need help omg.

Answers

Answer:

25.

Explanation:

5

because you're taking off the front number which is one

How much work is done on an object that is moved to acquire a displacement of 5 meters when 500 Newtons of force was exerted?​

Answers

Answer:

2,500 Joules (J) or Newton Meter (N M)

Explanation:

Work = Force x Distance

The force in this equation is 500 Newtons. The distance (displacement) is 5 meters. Plug it into the equation above.

Work = 5m x 500n

Work = 2,500 Joules or Newton-Meters.

Therefore 2,500 Joules or Newton Meters of work is done on an object.

What is the definition of the word equality in your own words?

Answers

Answer:

Equality is the state of being equal in rights word and oportunities

Which of the following is same dimension quantity?
Work and Power
power and Potential energy
Potential energy and Pressure
Potential energy and Work

Answers

Answer:

Find the dimension of each and every quantity in all the options to check whether they are the same or not. We can use any one formula of each identity to find its dimension.

Complete step by step solution:

To find the dimension of a quantity, we can use any formula related to that quantity but we will use the easiest ones to save time.

Force-

from Newton’s law of motion,

F=maF=ma

Dimension of force =[M][LT−2]=[MLT−2]=[M][LT−2]=[MLT−2]

Work done-

W=F×sW=F×s

Dimension of work=[MLT−2][L]=[ML2T−2]=[MLT−2][L]=[ML2T−2]

Momentum-

p=mvp=mv

Dimension of momentum=[M][LT1]=[MLT−1]=[M][LT1]=[MLT−1]

Impulse-

I=F×tI=F×t

Dimension of impulse=[MLT−2][T]=[

Please guide me for uniform speed

Answers

Explanation:

uniform speed is just the consistent ratio of distance to time. it can a

so be thought as the speed of an object that does not change. an example is when a car moves at a speed of 60km/hrs without changing its speed. it keeps on moving at the same speed it started with

hope this becomes helpful

thanks

Common sports injury : ankle sprain , bone fracture , muscle strain , neck low back pain , shoulder pain. First aid needed

Answers

Answer:

m

Explanation:

I NEED THE RIGHT ANSWER ASAP IT NEEDS TO BE 100% ACCURATE NO LINKS !!!
What happens when multiple forces act on an object?
1: The object will move if the forces are unbalanced.
2: The object will always stay in place.
3: The object will always move.
4: The object will move if the forces are balanced.

Answers

Answer:

The object will move if forces are unbalanced

Everything in the physical universe is composed of matter which has mass and occupies space.


True or False?
PLEASE I NEED HELP FAST

Answers

Answer:

Its True

Explanation:

hope this helps

a boy cycles a distance of 960 m from home to school in 8 minutes. calculate his average speed for the journey

Answers

Answer:

120m per minute

Explanation:

If you take 960 and divide it by 8 you get 120 then you have the answer 120m per minute

Disilicon Trisulfide formula?

Answers

disilicon hexabromide
Common Name disilicon hexabromide
CAS Number 13517-13-0 Molecular Weight
Density N/A Boiling Point
Molecular Formula Br6Si2 Melting Point
MSDS N/A Flash Point

what do the astrometric, doppler, and transit methods share in common?

Answers

They all search for planets by measuring properties of a star rather than of the planets themselves. ... The size of the Doppler shift that we detect depends on the tilt of a planet's orbit.

Find the displacement the body in the following graph​

Answers

Answer:

150

Explanation:

15m/s×10s= 15m/a

and that is the correct answer

_______is the force that keeps us all stuck to the surface of our planet.

Answers

Answer:

gravity

Explanation:

Which of the following occurs during the process of a liquid changing to a gas (boiling)?


The temperature increases.


The temperature remains the same.


The temperature decreases.

Answers

Answer:

the process that occurs when liquid changes to gas(boiling) is temperature increases

Answer:

The temperature increases

Explanation:

When a substance is converted from liquid state to gaseous state the particles get excited.The excitement raises the temperature of the substance

1) ¿Cuáles son los
beneficios de lograr
niveles aceptables de
aptitud física
relacionada con las
habilidades?

Answers

Answer: Controlar el sobrepeso bajas grasa , te pone de buen homor , te da mas energia , Te ayuda mantenerte saludable y combatir enfermedades.

What are at least 3 examples of sublimation?
Sublimation is solid skipping the melting to a liquid stage andngoing staright to a solid.​

Answers

Answer:

dry ice, air fresheners, polar evaporation, arsenic treatment

Dry ice, ice crystals inside boxes of frozen food, snow under certain conditions, iodine crystals, Arsenic, bathroom fresheners,

A new model BMW can start from rest and travel 400 m in 16 s. a. What is its acceleration during this time? [2] b. Calculate the final speed of the car. [2] c. How fast is this final speed in km/h?

Answers

Answer:

acceleration = 3v 125 m/s^

final speed= 50 m/s

final speed in km/hr = 180 km/hr

Explanation:

A new model BMW can start from rest and travel 400 m in 16 s.then the acceleration during this time would be  1.5625 m/s²

What are the three equations of motion?

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

As given in the problem, A new model BMW can start from rest and travel 400 m in 16 s

distance covered by BMW  = 400meters

initial velocity(u) = 0 m/s

time = 16 seconds

acceleration(a) =? m/s²

By using the second equation of motion given by newton

S = ut + 1/2at²

S = 400 m ,u= 0 m/s , and t =16seconds

400  = 0 + a16²

a =400/256

a = 1.5625 m/s²

For the final speed of the car

v= u + at

v = 0 + 1.5625×16

v = 25 m/s

For calculating the speed in km /h

v = 25 ×3600/1000

 = 90 km/h

Thus, the acceleration during the first 16 s  time would be  1.5625 m/s²

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A block of mass 1kg is placed on an inclined plane at an angle of 30° to the horizontal. Calculate the frictional force, normal reaction, the coefficient of the static friction​

Answers

Question:

A block of mass 1kg is placed on an inclined plane at an angle of 30° to the horizontal. Calculate the frictional force, normal reaction, the coefficient of the static friction​

Answer:

Break the mg force into components in the plane of the inclined plank. Now force acting parallel is mgsin37°. Perpendicular force is mgcos37° which is equal to normal force.  

Now calculate max value of friction force which is 0.8*mg cos37°. Since its greater than pulling force mgsin37°, the body will be at rest and acceleration is zero.  

Force applied by surface is vector sum of normal force and friction force acting.

How does acceleration experienced by different objects compare based on their masses?

I give Brainliest!

Answers

The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

Answer:

The acceleration of an item is proportional to the net force exerted on it and inversely proportional to its mass. The acceleration of an item increases as the force pressing on it increases. The acceleration of an item decreases as the mass of the thing increases.

I'm not sure whether it is electrically, by radiation or by heating?

thanks:)​


WILL MARK BRAINLIEST

Answers

I’m not really sure what the question is

why do we place window downward and ventilation upward?

Answers

Answer:

Doors, Windows & Ventilator is a part of building component which is allow to Air & light move & circulate inward & outward, with in door Human or any other material can be move inside or outside also. here types of doors & windows & ventilation are given with necessity of location, function etc.

Window ventilators are used for ensuring a supply of fresh air from the outside into the interior. They are used in rooms with natural ventilation, mechanical extract ventilation or hybrid ventilation. ... It automatically adjusts the inflow of fresh air depending on the level of relative humidity in the room.

Explanation:

diamond sparkles in dim light give reason

Answers

Answer: As the light moves through the diamond, it is scattered and fractured, creating the sparkle that diamonds are known for. This is the refraction. ... This refraction and dispersion also creates natural light and dark areas in the refracted light, depending on where the light hits along the planes of the diamond

Explanation:

5 cm ______ 500 mm.
a) Is greater than
b) Is less than
c) Is equal to
d) Measures a different quantity than

Answers

Answer:b

Explanation: each cm is 10mm so 5cm is 50mm that is less than 500mm

1. True or False: Most things in motion are accelerating, few things in real life move at a constant speed.

2. Slowing down is negative acceleration or ____________.


(I need Helpppppp pleaseee)

Answers

1. False
2. Positive
I’m just joking I don’t know the answersss

true or false sliding friction is stronger than static friction

Answers

False


Static friction is stronger than sliding friction

Answer:False static friction helps us from not sliding it hold us.

Explanation:

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