A 76-kg water skier is being pulled by a nylon (Young's modulus 3.7 x 109 N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 19 m and its cross-section area is 1.6 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 140 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope when the skier has an acceleration whose magnitude is 0.61 m/s2?

Answers

Answer 1

Newton's second law and the definition of Young's modulus allows us to find the change in length in the chord is:

Length change is:  ΔL = 5.98cm

Given parameters

Mass of the water skier m = 76 kg Young's modulus of chord Y = 3.7 10⁹ N / m² Chord length Lo = 19 m. The area of ​​the curda is a = 1.6 10-5 m² Friction force with water fr = 140 N. Acceleration a = 0.61 m / s²

To find

The change in length of the chord.

Newton's second law says that the net force on a body is directly proportional to its mass and acceleration.

           ∑ F = m a

where bold letters indicate vectors, F is force, m is mass, and acceleration.

A free-body diagram is a diagram of the forces without the details of the bodies, see attached.

          T-fr = m a

          T = ma + fr

Let's calculate.

          T = 76 0.61 + 140

          T = 186.36 N

Yung's modulus is defined by the relationship between stress and strain.

         

          [tex]Y = \frac{\frac{F}{A} }{\frac{\Delta L}{L_o} }[/tex]

           [tex]\Delta L = \frac{F}{A} \ \frac{L_o}{Y}[/tex]

Let's calculate.

 

         ΔL = [tex]\frac{186.36}{1.6 \ 10^{-5}} \ \frac{19}{3.7 \ 10^9}[/tex]  

         ΔL = 5.98 10⁻² m = 5.98 cm

In conclusion using Newton's second law and Young's modulus definition we can find the change in length in the chord is:

Length change is: ΔL = 5.98cm

Learn more about Young's Module here: brainly.com/question/13346614

A 76-kg Water Skier Is Being Pulled By A Nylon (Young's Modulus 3.7 X 109 N/m2) Tow Rope That Is Attached

Related Questions

Can somebody help me please be correct I can’t afford to not get it correct please please .

Answers

Answer:

smog. Just trust me im sure its right.

A body is under the action of two forces 7N and 10N. Find the resultant of the two forces if the forces are parallel and act in opposite directions

Answers

Answer:K;O9KGVB  

Explanation:

A tractor can apply a force of 15000 Newtons to get out of a mud pit. The
mud is resisting the tractor with a force of 11250 Newtons. The tractor
manages to accelerate out of the mud with a rate of 1.25 m/s^2. What is
the mass of the tractor?

Answers

Ok you divide the force of friction by the applied force (11250/15000) and that gives the coefficient of friction, coefficient of friction is always between 0 and 1, when divided out you get 0.75 set that equal to the force of friction equation (Ff=(g)(m)(coefficient of friction)) so you get 11250=9.81(0.75)m and then you simplify to 11250/(9.81)(0.75) and you get 1529 kg with sig figs I’d say you can do 1530 kg, by the way the g is for acceleration produced by gravity which is 9.81 on earth.

Draw and label the following vectors to scale one below the 4.2.1 2F (Remember F-S N to the night) 4.2.2 0.57 4.2.3 - 4.2.4 -2F and Fact on an object. F = 2 N upwards and​

Answers

I thought my work was hard but it’s right

consider the same balloon as in part d. based on what you learned in the video and your answer to part d, if you assume that your balloon began very tiny and has been expanding at a constant rate, what can you conclude about how long your balloon has been expanding?

Answers

Answer:

Your balloon has been expanding for 5 hours.

Explanation:

Your balloon has been expanding for 5 hours.

Using the Arc length formula s = r θ, find the missing variable. Find r when s = 26.4 and θ = 3π/2.

A) 39.6/ π
B) π /17.6
C) 17.6/ π

Answers

Answer:The solution is in the attached file below

Explanation:

The value of r is approximately 0.56. The closest option is D) π / 0.56, which is equal to approximately 5.6 when π is approximated to 3.14.

Using the arc length formula, s = rθ, we can rearrange it to find the missing variable r:

r = s / θ

Given that s = 26.4 and θ = 3π/2, we can substitute these values into the formula:

r = 26.4 / (3π/2)

To divide by a fraction, we can multiply by its reciprocal:

r = 26.4 * 2 / (3π)

Now, we simplify:

r = 52.8 / (3π)

To express r in terms of π, we divide:

r ≈ 52.8 / (3 * 3.14)

r ≈ 5.6

Therefore, option D) is the correct answer.

To know more about arc length, here

brainly.com/question/31762064

#SPJ2

--The complete Question is, Using the Arc length formula s = r θ, find the missing variable. Find r when s = 26.4 and θ = 3π/2.

A) 39.6/ π

B) π /17.6

C) 17.6/ π

D) 0.56

A diver has a mass of 90 kg. If he climbs ip a diving platform 12m high, how much potential energy does he have.

Answers

Answer:

10,584 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 90 × 9.8 × 12 = 10,584

We have the final answer as

10,584 J

Hope this helps you

Help!!! Earth science !!!

Answers

Answer:

DThe sameb

Explanation:

[tex] \frac{159.4}{59.7} = 2.67[/tex]Because, well, science? Don't know how to explainBecause, well science again. Well, physics.

A box with a mass of 2 kg is pushed by a 10 N force. The
acceleration is_m/s2

Answers

Answer:

5 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{10}{2} = 5 \\ [/tex]

We have the final answer as

5 m/s²

Hope this helps you

The following are connected in parallel circuit at home EXCEPT:

A. TV
B. light bulbs
C. refrigerator
D. Christmas lights​

Answers

Light bulbs, think about parallel circuits as something you plug into, so for example you plug in a tv for it to work, same with a refrigerator and Christmas lights

Ampere is a unit of what electrical quantity?

A. Current
B. load
C. resistance
D. Voltage​

Answers

Answer:

current

Explanation:

option A. current unit

A lamp that plugs into a wall socket draws energy which flows through a thin wire in the bulb causing it to glow. What energy transformation are taking place

Answers

Answer:

Electrical>thermal>light

Explanation:

an object is moving east with a constant speed of 20m/s for 4 seconds.What is the object's acceleration

Answers

The objects acceleration is 6m/s.

Animals which only consume other animals are called

Answers

Answer:

Carnivores

Explanation:

A carnivore is an organism that mostly eats meat, or the flesh of animals. Sometimes carnivores are called predators. Organisms that carnivores hunt are called prey.

Carnivores are a major part of the food web, a description of which organisms eat which other organisms in the wild. Organisms in the food web are grouped into trophic, or nutritional, levels. There are three trophic levels. Autotrophs, organisms that produce their own food, are the first trophic level. These include plants and algae. Herbivores, organisms that eat plants and other autotrophs, are the second trophic level. Carnivores are the third trophic level. Omnivores, creatures that consume a wide variety of organisms from plants to animals to fungi, are also the third trophic level.

NEED HELP!!!!

Elsa has been spending a lot of time on the stair machine at her gym. She is starting to feel really sore in her knees, but she figures that it is not a big deal since exercise often makes people ache. What is the BEST advice for Elsa?
A.
She is right to think that soreness is part of working out.
B.
She is probably using the stair machine wrong if she is sore.
C.
The soreness means that the concentric exercises are doing their job.
D.
Concentric exercise can be hard on joints, so she should be very careful.

Answers

Answer:

The correct choice is D. Concentric exercise can be hard on joints, so she should be very careful.

The best advice for Elsa is she is probably using the stair machine wrong if the soreness resides for a long time. Therefore, option (B) is correct.

What do you mean by Exercise?

Exercise can be described as the body activity that enhances or maintains physical fitness, wellness, and overall health.

Exercise can be performed for various reasons, to aid growth, develop muscles, improve strength, and the cardiovascular system, honing athletic skills, weight loss or maintenance, and simply for enjoyment.

Many people choose to exercise outdoors where they socialize and improve their well-being as well as their mental health.

The amount of recommended exercise depends upon the type of exercise, goal, and age of the person in terms of health benefits, Even doing a small exercise can be healthier than doing nothing.

Any exercise causes soreness, but if soreness resides for a long time, it can be time to analyze your exercise and modifies it in an appropriate way.

Therefore, if the soreness resides for a long time, then Elsa is probably using the stair machine wrong.

Learn more about Exercise, here:

brainly.com/question/1365564

#SPJ5

A spaceship fires a missile toward a second spaceship at 0.950c; the missile approaches the second ship at 0.750c. Describe how the ships are moving with respect to one another.

Answers

Answer:

the missile approaches the second ship at 0.750c. Describe how the ships are moving with respect to one another.

Explanation:

A ball starting from rest accelerates uniformly at 5.0 meters per second2 as it rolls 40. meters down an incline. How much time is required for the ball to roll the 40. meters

Answers

The time required for the ball to roll down the given distance is 4 seconds.

Given the data in the question;

Since the ball started from rest,

Initial velocity; [tex]u = 0[/tex]Acceleration; [tex]a = 5.0m/s^2[/tex]Distance traveled; [tex]s = 40m[/tex]Time taken; [tex]t =\ ?[/tex]

To determine the time required for the ball to travel the given distance, we use the Second Equation of Motion:

[tex]s = ut + \frac{1}{2}at^2[/tex]

Where s is distance traveled, u is initial velocity, a is acceleration and t is time taken.

We substitute our given values into the equation and solve for "t"

[tex]40m = [ 0*t ] + [ \frac{1}{2}\ *\ 5.0m/s^2\ *\ t^2 ]\\\\40m = 2.5m/s^2\ *\ t^2\\\\t^2 = \frac{40m}{2.5m/s^2}\\\\t^2 = 16s^2\\\\t = \sqrt{16s^2}\\\\t = 4s[/tex]

Therefore, the time required for the ball to roll down the given distance is 4 seconds.

Learn more: https://brainly.com/question/3391840

Do electromagnetic waves travel with speed of light?

Answers

Answer:

Yes

Explanation:

Especially the Seismic waves which travel faster than the others.

what is imformashion

Answers

Answer:

facts provided or learned about something or someone.

A block of mass 0.244 kg is placed on top of a light, vertical spring of force constant 4 975 N/m and pushed downward so that the spring is compressed by 0.097 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise

Answers

As the spring returns to it's equilibrium position, it performs

1/2 (4975 N/m) (0.097 m)² ≈ 23 J

while the gravitational force (opposing the block's upward motion) performs

-(0.244 kg) g (0.097 m) ≈ -2.3 J

of work on the block. By the work energy theorem, the total work done on the block is equal to the change in its kinetic energy:

23 J - 2.3 J = 1/2 (0.244 kg) v² - 0

where v is the speed of the block at the moment it returns to the equilibrium position. Solve for v :

v² = (23 J - 2.3 J) / (1/2 (0.244 kg))

v = √((23 J - 2.3 J) / (1/2 (0.244 kg)))

v ≈ 44 m/s

After leaving the spring, block is in free fall, and at its maximum height h it has zero vertical velocity.

0² - (44 m/s)² = 2 (-g) h

Solve for h :

h = (44 m/s)² / (2g)

h ≈ 2.3 m

Plot the line for the equation on the graph.





y−2=−2(x+4)

Answers


Like and comment down if that was helpful

Kahalagahan ng diagram​

Answers

Answer:

Diagrams are essential to provide a clear, unambiguous picture. They can be put together in meetings, can make discussions easier than lots of text and are quicker and easier to do iterations and re-work.

Explanation:

Diagrams play an important role in statistical data presentation. Diagrams are nothing but geometrical figures like lines, bars, circles, squares, etc. Diagrammatic data presentation allows us to understand the data in an easier manner.

How much force is required to accelerate a .6 kg object at 5 m/s^2

Answers

Answer:

[tex].[/tex]

» 30 N

Explanation:

Given :

Mass → m → 6kg

Acceleration → a →

[tex]5 {ms}^{ - 2} [/tex]

To find :

The formula for force

F = m a

F = 6 5

F = 30 N

what is the source of energy that directly drives atp synthase in its production of atp?

Answers

it is proton gradient

The sun's thermal energy serves as the primary energy source for producing atp during the photosynthesis process. Essentially, it serves as the primary catalyst for all metabolic processes in plants. Protons diffusing through the F0 section of ATP synthase

What is adenosine triphosphate?

All living things contain the energy-carrying molecule adenosine triphosphate (ATP) in their cells. When food molecules are broken down, chemical energy is released that is captured by ATP and used to power other cellular operations.

To drive metabolic events that would not happen naturally, to transfer necessary molecules across membranes, and to do mechanical labor, such as moving muscles, cells need chemical energy.

Chemical energy cannot be stored by ATP; lipids and carbohydrates such as glycogen serve this purpose. ATP is created when energy from storage molecules is required by the cell.

To know more about adenosine triphosphate:

https://brainly.com/question/859444

#SPJ12

Describe how energy changes on a swing.

Answers

Answer:

while moving up from the perigee, the swing converts kinetic energy to potential energy, and when coming back down it is transferred back to kinetic energy.

also friction converts energy to heat

Explanation:

yes

Compared to the amount of radiation received from the Sun, about how much radiation does the surface of the earth receive from the atmosphere

Answers

Answer:

https://earthobservatory.nasa.gov/features/EnergyBalance#:~:text=The%20atmosphere%20absorbs%2023%20percent,surface%20radiates%20only%2012%20percent.

Explanation:

Will the pressure in glass of fruit juice be bigger or smaller than the pressure in water?

Answers

Answer:

the pressure of fruit juice is smaller

the pressure of water is bigger

Explanation:

A man, moving at 3 km/hr along a
straight line, finds that the rain drops are
falling at 4 km/hr in vertical direction.
Find the angle with which rain drop hits
the ground.
A man, moving at 3 km/hr along a
straight line, finds that the rain drops are
falling at 4 km/hr in vertical direction.
Find the angle with which rain drop hits
the ground.

Answers

Answer:

tan

Explanation:


A box that has a mass of 4 kg is on a shelf at a height of 4 meters. Calculate the potential energy due to gravity:
Joules

Answers

Explanation:

P. E = mgh

P. E = 4x10x4 = 160Joules

PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!





Laquita is a competitive diver. She made it to the semi-final round of Olympic tryouts but did not make the team. How should she interpret this loss?
A.
as a sign that her hard work has been wasted and she should find a new sport
B.
as an indication that she should fire her coach and find someone more competent
C.
as an indication that she will definitely win if she comes back again
D.
as a sign that she is an exceptional athlete with a great deal of potential


PLEASE NO LINKS

Answers

Answer:

D!!! im sure of it!

Explanation:

its correct in plato

Other Questions
6. Erin runs laps around a circular pond with a radius of 12 yards. She calculated the total distance she would run after ten laps around the pond. Is Erin's calculation correct? If not, correct her work. ( = (3.14) (12) (10) (= 37.68 (10) ( = 376.8 yards true or false A car is travelling at an average speed of 110 km/hr. Each trip the car must stop for gaswhich takes 15 minutes. Write an equation to determine the amount of time (T) inhours it takes the car to travel x distance. Type your response in the box.Draw an energy chain diagram to show energy transformations e for this event:Water in an electric tea kettle heats up. The water boils noisily as it changes into rising water vapor. 8(-b-4) distributive property You are throwing a party for your friend. The caterer charges $60 per person. Fifteen guests have been invited, but you are not sure if all her friends will attend. assume that at least one person shows up to the party.a) write an equation to represent this situation.b) find the domain of this function.c) find the range of this function. An electrical impulse travels down the nerve and causes the axon to release which of the following into the synaptic cleft? Why did BNA want to become an Independent Country? (poem related to question in link)Each stanza has fourteen lines. How many rhymes does each stanza have?A) 3B) 14C) 12D) 7E) 5 Unlike English in Spanish the adjectives must match the SOMEONE HELP ME PLEASE!AND IF YOU ANSWER FIRST YOU GET BRAINLISTAND YOU GET 10 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CIVICSRead the excerpt:We the People of the United States, in Order to form a more perfect Union, establish Justice, ensure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.Preamble to the US Constitution How does the preamble to the US Constitution reflect the ideas of Jean-Jacques Rousseau?It reflects the idea that the governments power comes from the people.It reflects the idea that men and women should have equal rights.It reflects the idea that people cannot be trusted to rule themselves.It reflects the idea that only a government with absolute power can protect people. Please help!!KOH + HBr KBr + H2OA student sets up a titration apparatus with 25 mL of potassium hydroxide in the flask. In three to five sentences, explain how the student can use a 0.1 M solution of hydrobromic acid to determine the concentration of potassium hydroxide in the reaction. What are the main types of contracts if you decide to outsource? What are the advantages and disadvantages of each? g what are the ways by which organisms disrupt earth's natural balance? If the tube is permeable to iodine, what color would you expect the contents to change? [ orange / purple / no change ] which were key arguments for and against government suppression of dissent during world war i? The charge on an atom is written as a _____________. A U.S. Coast Guard survey of 500 small boats in the Cape Cod area found 195 in violation of one or moresafety regulations.a. What is the value of the point estimate?b. What is the critical value you will use for a 95% confidence interval?C.What is the value of the standard error?d. What is the value of the margin of error?e. State the lower and upper bounds for a 95% confidence interval.f. State a conclusion, in context. 2+2+2+2+2= help jk loool:);):/:( what is the answer for this question please