a) While riding a chair life to the top of a hill, a 54.8
kg skier gains a total of 4.22 x 10^5 J of gravitational
potential energy. Calculate the vertical distance the skier has traveled.

Answers

Answer 1

Vertical distance from the point of observation on the Earth's surface to the point being measured. Altitude: Vertical distance from mean sea level to the point being measured.

What is the formula of vertical distance?To calculate vertical distance, square the total distance, subtract the square of the horizontal distance from that result, then take the square root of this number.Gravitational potential energy is the energy possessed by a falling object due to virtue of its position.And we can think of the vertical distance as the change in and the horizontal distance as the change in . So, by the end of this lesson, what we hope you'll be able to do is find the horizontal or vertical distance between two points on the coordinate plane and find side lengths of shapes in the coordinate plane.All vertical lines are in the form x=a, where a is the x-intercept. To find the distance between two vertical lines, count the squares between the two lines. You can use this method for horizontal lines as well. All horizontal lines are in the form y=b, where b is the y-intercept.

gravitational potential energy = mass * acceleration due to gravity * height

gravitational potential energy = 55 * 9.8 * 370

gravitational potential energy = 539 * 370

gravitational potential energy = 199,430

Hence the total change in the skier's gravitational potential energy is 199,430Joules.

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Related Questions

A physics student of mass 43.0 kg is standing at the edge of the flat roof of a building, 12.0 m above the sidewalk. An unfriendly dog is running across the roof toward her. Next to her is a large wheel mounted on a horizontal axle at its center. The wheel, used to lift objects from the ground to the roof, has a light crank attached to it and a light rope wrapped around it; the free end of the rope hangs over the edge of the roof. The student radius 0.300 m and a moment of inertia of 9.60 kg m^2 for rotation about the axle, how long does it take her to reach the side walk, and how fast will she be moving just beofre she lands?

Answers

Answer:

The speed of the student just before she lands, v₂ is approximately 8.225 m/s

Explanation:

The given parameters are;

The mass of the physic student, m = 43.0 kg

The height at which the student is standing, h = 12.0 m

The radius of the wheel, r = 0.300 m

The moment of inertia of the wheel, I = 9.60 kg·m²

The initial potential energy of the female student, P.E.₁ = m·g·h₁

Where;

m = 43.0 kg

g = The acceleration due to gravity ≈ 9.81 m/s²

h = 12.0 h

∴ P.E.₁ = 43 kg × 9.81 m/s² × 12.0 m = 5061.96 J

The kinetic rotational energy of the wheel and kinetic energy of the student supporting herself from the rope she grabs and steps off the roof, K₁, is given as follows;

[tex]K_1 = \dfrac{1}{2} \cdot m \cdot v_{1}^2+\dfrac{1}{2} \cdot I \cdot \omega_{1}^2[/tex]

The initial kinetic energy, 1/2·m·v₁² and the initial kinetic rotational energy, 1/2·m·ω₁² are 0

∴ K₁ = 0 + 0 = 0

The final potential energy of the student when lands. P.E.₂ = m·g·h₂ = 0

Where;

h₂ = 0 m

The final kinetic energy, K₂, of the wheel and student is give as follows;

[tex]K_2 = \dfrac{1}{2} \cdot m \cdot v_{2}^2+\dfrac{1}{2} \cdot I \cdot \omega_{2}^2[/tex]

Where;

v₂ = The speed of the student just before she lands

ω₂ = The angular velocity of the wheel just before she lands

By the conservation of energy, we have;

P.E.₁ + K₁ = P.E.₂ + K₂

∴ m·g·h₁ + [tex]\dfrac{1}{2} \cdot m \cdot v_{1}^2+\dfrac{1}{2} \cdot I \cdot \omega_{1}^2[/tex] = m·g·h₂ + [tex]\dfrac{1}{2} \cdot m \cdot v_{2}^2+\dfrac{1}{2} \cdot I \cdot \omega_{2}^2[/tex]

Where;

ω₂ = v₂/r

∴ 5061.96 J + 0 = 0 + [tex]\dfrac{1}{2} \times 43.0 \, kg \times v_{2}^2+\dfrac{1}{2} \times 9.60 \, kg\cdot m^2 \cdot \left (\dfrac{v_2}{0.300 \, m} }\right ) ^2[/tex]

5,061.96 J = 21.5 kg × v₂² + 53.[tex]\overline 3[/tex] kg × v₂² = 21.5 kg × v₂² + 160/3 kg × v₂²

v₂² = 5,061.96 J/(21.5 kg + 160/3 kg) ≈ 67.643118 m²/s²

v₂ ≈ √(67.643118 m²/s²) ≈ 8.22454363 m/s

The speed of the student just before she lands, v₂ ≈ 8.225 m/s.

John, a fireman, slides down a pole when the fire alarm sounds. He reaches the ground at 5m^-1. Give that his mass is 60kg. Find the friction that acts against his motion as he slides down the pole.

Answers

Friction as it is acting upon an object over a surface

A team of scientists wants to conduct a study on an endangered animal inthe wild. Which rule should the study follow in order to be considered ethical?
A. The scientists will promote the study on their personal websites.
B. The animals will not be harmed during the study.
C. The study will gather data over a long period of time.
D. The study will answer a question that has never been investigated.

Answers

Answer:

imma have to say C I'm not sure tho

HELP ME ASAP PLZZZ!!!
In which reaction are the atoms of elements rearranged?

Answers

During a chemical reaction, atoms of elements are rearranged. Most chemical reactions obey the law of conservation of mass which states that "matter is neither created nor destroyed in a chemical reaction but atoms are simply rearranged". The other choices given are nuclear reactions.
Chemical reactions can occur to make a different elements with the same atoms

Based on the graph, describe how momentum changes with time for an object in free fall. If you can help, I would be so grateful.

Answers

With time, momentum increases as it builds speed assuming their is nothing in the way to stop it. Based on the graph, you can see that example being displayed as the line on the graph gets higher

A 1.70 m long string has a standing wave with 2 loops at a frequency of 38.4 Hz. What is the speed of the waves in the string? (Unit = m/s)

Answers

Answer:65.28

Explanation:

A long string has a standing wave with 2 loops at a frequency. The speed of the waves in the string is 65.28 m/s

What is frequency?

The frequency is the number of cycles completed per second.

Given the length of the string l = is 1.70 m, no of loops n =2, frequency of wave f =38.4 Hz, then the speed of the waves is

f = nv /2l

Substitute the following values, we get

v = 38.4 x 2 x 1.70 / 2

v =65.28 m/s

Thus, the speed of the waves in the string is 65.28 m/s.

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Which of the following statements is true about absolute zero?

It is the point at which electrons separate from the nucleus of atoms.
It is the point at which electrons separate from the nucleus of atoms.

It is theoretically the point at which all particle motion stops.
It is theoretically the point at which all particle motion stops.

It occurs at 273 degrees Kelvin.
It occurs at 273 degrees Kelvin.

It is the point at which protons separate from neutrons in the nucleus

Answers

Answer:

It is the point at which electrons separate from the nucleus of atoms. It is the point at which electrons separate from the nucleus of atoms. It is theoretically the point at which all particle motion stops. ... It occurs at 273 degrees Kelvin. ... It is the point at which protons separate from neutrons in the nucleus.

Explanation:

basic component of matter, it is composed of a nucleus which is the central part, the protons and electorns

Answers

Atoms are the basic components of matter

If you want brainiest, can you help me?

Answers

Answer

?????

Explanation:

Please explain sir I am confused


Which statement best summarizes the development of the atomic theory over time?

Answers

Answer:

electrons move around nucleus in specific regions

We have that the correct statement that summarizes atoms over time will be

The discovery of new evidence resulted in changes to the atomic theory.

Option B

Generally

The Image shows that in the early 1800 the knowledge of atom was limited and it increased over time and by 1920 it had gone through a 4 stages of modifications to the atomic model

Atoms are solid spheresElectrons are attached to atom surfaceElectrons  move around in the nucleus in a specificRapid motion of electrons in the cloud

Therefore the correct statement that summarizes atoms over time will be

The discovery of new evidence resulted in changes to the atomic theory

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why does liquid have to cofficients of expansion​

Answers

Answer:

The ratio of apparent increase in volume of the liquid per unit rise of temperature to the original volume is called its coefficient of apparent expansion. ... Thus a liquid has two coefficients of expansion. Measurement of the expansion of a liquid must account for the expansion of the container as well.

*coefficients
The ratio of apparent increase in volume of the liquid per unit rise of temperature to the original volume is called its coefficient of apparent expansion.So a liquid has two coefficients of expansion.Measurement of the expansion of a liquid must account for the expansion of the surface as well

Milk is a very weak acid. What might its pH value be ?

Answers

Answer:

pH value is between 6.5 and 6.8

Explanation:

Explanation:

Milk fresh from the cow typically has a pH between 6.5 and 6.7. The pH of milk changes over

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Answer:

Sam's average velocity for the entire walk is approximately;

0.075 km/min

Explanation:

The given parameters of the Lake Loop Trail are;

The distance of the trail Sam takes his dog to walk around = 5-km

From the table for the position and time, we have;

[tex]\begin{array}{ccc}Position \ (km) &&Time \ (min)\\0&&0\\1&&12\\2&&22\\3&&33\\4&&54\\5&&67\end{array}[/tex]

Plotting the given points gives the attached chart created with Microsoft Excel

The coordinates of the points are A(0,0), B(67, 5), C(67, 0)

By the definition of average velocity, we have;

[tex]Average \ velocity = \dfrac{Total \ distance}{Total \ time \ taken}[/tex]

From the plot of the points therefore, we have;

[tex]Average \ velocity= \dfrac{Length \ of BC}{The \ time \ elapsed \ between \ AC} = \dfrac{5 \ km - 0 \ km}{67 \ min - 0 \ min} = \dfrac{5 \ km}{67 \ min} \approx 0.075 \ km/min[/tex]Therefore;

Sam walked at an average velocity of approximately 0.075 km/min.

A firework is launched with a force of 700 N and a momentum of 200 kg-m/s. How much time before is explodes?

Answers

Answer:

t = 0.28 seconds

Explanation:

Given that,

Force acting on a firework, F = 700 N

The momentum of the firework, p =200 kg-m/s

We need to find the time before it explodes. Ket the time be t. We know that, the rate of change of momentum is equal to external frce. So,

[tex]F=\dfrac{P}{t}\\\\t=\dfrac{P}{F}\\\\t=\dfrac{200}{700}\\t=0.28\ s[/tex]

So, the required time is equal to 0.28 seconds.

John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the object's potential energy?

Answers

Answer is: 24500 J.
m(object) = 50 kg.
h(object) = 50 m.
g = 9,8 m/s².
E(object) = m·g·h.
E(object) = 50 kg · 9,8 m/s² · 50 m.
E(object) = 24500 N·m = 24500 J = 24,5 kJ.
g - the acceleration of free fall.
mg - weight of the object.

When light passes from air into water at an angle of 60° from the normal, what is the angle of refraction? (40.6°)

Answers

Answer:

40.6°

Explanation:

The angle of refraction, when light passes from air into water at an angle of 60° from the normal, is 40.6°

What is Snell's law?

It states that the ratio of sine of angle of incidence and angle of refraction is equal to the refractive index of second medium to the first medium.

sini/sinr =n₂ / n₁

Given, the light passes from air into water at an angle of 60° from the normal, the angle of incidence i = 60°, refractive index of air n₁ =1, refractive index of water n₂ = 1.333, then the angle of refraction is

sinr = sini x (n₁/n₂)

Plug the values, we get

sinr = sin60 x (1/1.333)

sinr = 40.6°

The angle of refraction is less than angle of incidence due to refraction.

Thus, the angle of refraction is 40.6°

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PLZZZ HELP ME ASAP!!!

Answers

Answer:

the correct answer would be D

Explanation:

D is the correctly balanced

it did work lollllllllllllllll

Answers

Answer:

Ok.............

hfjjjjjjlnggmm

based on the pattern between mass and kinetic energy illustrated in table 1 what is the missing data for the kinetic energy of a 4 kg ball at 4m/s? The answer is 32J but why is that answer correct?

Answers

I also need help on this question

Which equation could not be used to determine straight line acceration?

Answers

Answer:

the answer for the question is the last option

3. Neha travels 4 m towards the north, 3m towards the east, and then 7 m towards south, find the displacement and total distance traveled by her.

Answers

Answer:

Explanation:

Explanation: total displacement =3√2m. and total distance covered=14m. I hope this is right and helps u.

When two chemical atoms form a chemical bond, the expected result is that the electrons
A.)will be in the excited state

B.) will be equal to the number of protons

C.) will complete a noble gas configuration in both atoms

D.) will be removed completely from both atoms

Answers

Answer:

B

Explanation:

atoms with equal or similar electronegativity form covalent bonds in which the valence electrons are shared between the two atom

During the formation of a chemical bond, the expected result is that the electrons will complete a noble gas configuration in both atoms. Hence, option (C) is correct.

The given problem is based on the concepts and fundamentals of chemical bonds. The chemical bonds between the two atomic species is formed by sharing the electrons.

When the electrons from each of the atom is shared, they maintain a strong intermolecular bond, which is known as chemical bond. This chemical bond allows the element to achieve noble gas configuration.The electrons that is shared within the two atomic species are known as shared pairs.The shared pairs are bonded within the atomic species by means of Van der Waals force of attraction as as covalent interaction..

Thus, we can conclude that during the formation of a chemical bond, the expected result is that the electrons will complete a noble gas configuration in both atoms. Hence, option (C) is correct.

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xplain the difference between aerobic and anaerobic exercise and give 1 example of each?

Answers

Answer:

The term "aerobic" refers to the body's ability to provide energy through the use of oxygen.  The term anaerobic refers to the body's ability to provide energy without the use of oxygen.

An example of an aerobic exercise is swimming. An example of an anaerobic exercise is sprinting.

Explanation:

Answer:

An example of an aerobic exercise is swimming. An example of an anaerobic exercise is sprinting.

Explanation:

Objects traveling in! acceleration.* motion experience centripetal​

Answers

Answer:

They travel

Explanation:

Because they move in a certin way

factors that affect pressure in liquids

Answers

Two factors influence the pressure of fluids. They are the depth of the fluid and its density.

Answer:

Depth and density of the liquid determine the amount of pressure in a liquid.

Explanation:

What must happen to light in order for an image to form

Answers

Small opening if you were directions from the light to come from

4 Suggest four ways in which participating in physical activities can build healthy relationship? 5.Show in two ways the influebces of values on the choices of goals you set as your life goal❤

Answers

Answer:

Increases levels of well-being neurotransmittersImproves fitnessImproves mental healthReduces the risk of developing diseases

Explanation:

Performing physical activities helps to build a healthy relationship with yourself, in the sense that physical activity promotes health at all levels. Health is a set of physical, mental and social well-being, so physical activity reaches all these levels and increases the quality of life for a person as a whole.

There are several types of physical activities that can be performed and you can choose the one that best fits your preferences and routine. A walk for example can be done in any safe place and at any time and it already helps in improving physical conditioning, in receiving serotonin and endorphins, in reducing blood pressure and protecting the heart and in improving mental health.

So the ideal is for each person to set their own goals in relation to their health and seek to achieve them, either to have a better quality of life, to socialize more with people, to prevent diseases, etc.

Physical exercise helps build relationship by:

Reducing one's  stress and good level of mental health. One can be able handle anxiety and less mental health problem.

What are Exercise?

This is known to be any physical activities such as walking, running, etc., that is often done so as to keep the body fit.

It is very important when as it helps one to maintain a good balance of mental health. As a person moves their body, there is the release of endorphins that functions to make us feel good and helps handle the effects of stress and anxiety. The more a person exercise, the less mental health cases and more happier relationships.

Note that Values are the drive force of  your actions and they push or motivate as you set your life goals. They help to eliminate any obstacle in term of foreign ideas that are against one's value and it keeps one's focus on the goal.

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Hello I need help with my science HW

Did you see a pattern in the ratios between mass and weight? Explain what you think this pattern means.

Answers

Answer:

please put a picture, i dont know what you are doing so i cant help.

Explanation:

A 7 kg ball is push with a force of 28 N. What is the acceleration? .​

Answers

Answer:

a = 4 m/s²

Explanation:

Given: 28 N, 7 kg

To find: Acceleration (a)

Solution: To find (a), divide force by weight

A = F ÷ m

=  28 ÷  7

= 4 m/s²

Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.


3. A ray of monochromatic light (1 = 5.9 x 10-7 meters) traveling in air is
incident on an interface with a liquid at an angle of 45° as shown in
the diagram to the right. If the absolute index of refraction of the
liquid is 1.4, calculate the angle of refraction.

Answers

Answer:

45 degrees༼ つ ◕_◕ ༽つ

Explanation:

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