A skydiver in free-fall builds up speed, but soon reaches a maximum value known as terminal speed, due to the effects of aerodynamic drag. Suppose that a particular skydiver has a terminal speed . While the skydiver is still inside the plane, her pilot puts the plane into a nose-dive, flying the plane straight down at twice the skydiver's terminal speed, . If the skydiver jumps out of the plane at that moment, what will be her acceleration vector (magnitude and direction)?

Answers

Answer 1

The skydiver's acceleration vector will have a magnitude equal to the difference between the plane's velocity and the skydiver's terminal speed, and it will be directed opposite to the motion of the plane.

When a skydiver reaches terminal speed, the net force acting on them becomes zero because the force due to gravity is balanced by the aerodynamic drag force. This means that the skydiver's acceleration is zero, and they continue to fall at a constant speed.

In this scenario, the skydiver's terminal speed is denoted as v_terminal. When the pilot puts the plane into a nose-dive, flying straight down at twice the skydiver's terminal speed (2v_terminal), the relative velocity between the skydiver and the plane is the difference between their velocities.

Since the skydiver is moving at their terminal speed (v_terminal), the magnitude of the acceleration vector is |2v_terminal - v_terminal| = |v_terminal| = v_terminal. The direction of the acceleration vector is opposite to the direction of the plane's motion, i.e., downward.

Therefore, the magnitude of the skydiver's acceleration vector is equal to their terminal speed (v_terminal), and it is directed downward.

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Related Questions

How is energy related to the change of state represent ed by the model

Answers

Atoms gain energy as a solid changes to a liquid. If atoms energy during a change of state, they are pulled together by attractive forces and become more organized.

Answer:

Atoms gain energy as a solid changes to a liquid. If atoms energy during a change of state, they are pulled together by attractive forces and become more organized.

Explanation:

Density An object has a mass of 80 g. It is 3 cm wide, 4 cm tall and 2 cm long. What is the density of the object?​

Answers

Answer:

the density of the object is 3.33  \(\,\frac{g}{cm^3}\)

Explanation:

Use the formula for density:

\(density=\frac{M}{V}\)

where M is the mass of the object, and V its volume.

In our example, we have:

Volume V = 3 x 4 x 2 cubic cm = 24 cubic cm

Then the density is:

\(density=\frac{M}{V}=\frac{80}{24} \,\frac{g}{cm^3} =3.33 \,\frac{g}{cm^3}\)

A student takes notes in class.

Sound Waves
I. Created by a vibration
A. Vibration: something that causes air molecules to move
back and forth quickly and steadily
II. Move through a medium
A. Solid
B. Liquid
C. Gas

Which line of her notes contains an error?

I
I A
II B
II C

Answers

The wrong statement is that sound waves created vibration Option A.

What are sound waves?

Sound is a type of waves that moves in compressions and rare factions. This implies that sound is a mechanical wave. Recall that a mechanical wave is one that requires a material medium for propagation. Now we know that if we set the medium into vibration, that is when the sound waves begins to vibrate. That brings us to the idea that it is the vibration that causes the sound waves and not the sound waves that creates the vibration.

Thus, knowing that sound is a mechanical wave which moves through solids liquids and gas and that the vibration of the source of sound is what causes the air to vibrate, we conclude that the wrong statement is that sound waves created vibration Option A.

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Answer:

a

Explanation:

Which of the following is a result of the transfer of energy?

- gravity
- matter
- magnetism
- sound

Answers

Answer: Sound

Explanation: it's asking which of the following is a result of transfer of energy and sound comes from vibrations

Which term refers to a saturated hydrocarbon?
A alkali
B alkene
C alkyne
D alkane

Answers

Answer:

D. Alkane

Explanation:

Alkanes are saturated hydrocarbons. This means that their carbon atoms are joined to each other by single bonds. This makes them relatively unreactive, apart from their reaction with oxygen in the air.

Answer:

Saturated hydrocarbons are given the general name of alkanes. The name of specific alkanes always ends in –ane. The first part of the name indicates how many carbon atoms each molecule of the alkane has. The smallest alkane is methane. It has just one carbon atom. The next largest is ethane with two carbon atoms. The chemical formulas and properties of methane, ethane, and other small alkanes are listed in the Table below. The boiling and melting points of alkanes are determined mainly by the number of carbon atoms they have. Alkanes with more carbon atoms generally boil and melt at higher temperatures.

Explanation:

Which term refers to a saturated hydrocarbon?A alkaliB alkeneC alkyneD alkane

Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms. please select the best answer from the choices provided t f

Answers

The statement "Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms" is absolutely false.

What is monsoon?

Monsoon may be characterized as a seasonal transformation in the direction of the predominant, most potent, currents of a region. It blows from cold to warmer regions of the geographical locations.

Thunderstorms basically originated identically with monsoons more frequently. Monsoon involves sudden and gradual rainfall, extreme wind, and a drop-down in temperature.

The occurrence of monsoon is fixed at different geographical locations, but the occurrence of thunderstorms will not be definite or predominantly known.

Thus, the statement "Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms" is absolutely false.

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Answer:

False

Explanation:

indicated airspeed is a measure of group of answer choices compressibility. total aircraft pressure. density. dynamic pressure.

Answers

The answer to the question is "dynamic pressure."

Indicated airspeed is a measure of the aircraft's dynamic pressure. The airspeed indicator (ASI) measures the difference between the static pressure and the dynamic pressure of the aircraft, which is then displayed to the pilot as a speed indication. The pitot tube, which is mounted on the aircraft, is responsible for measuring the aircraft's dynamic pressure.

The total pressure, which is the sum of the static pressure and the dynamic pressure, is measured by the ASI. The density of the air has no impact on the indicated airspeed.

Therefore, the answer is "dynamic pressure."

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a certain lake, filled with fresh water, is 40 m deep and located at sea level. what is the absolute pressure (in kpa) at the bottom of the lake?

Answers

A certain lake, filled with fresh water, is 40 m deep and located at sea level. The absolute pressure (in kpa) at the bottom of the lake will be 492.1 kPa

P1 = rho * g * h

rho = density of water

g = acceleration due to gravity

h = depth

P1 = rho * g * h

   = 997 * 9.8 * 40 = 390824  N / \(m^{2}\) = 390.8 kPa

P(absolute pressure) =  Po + P1

  =   101.3 + 390.8  = 492.1 kPa

The absolute pressure (in kPa) at the bottom of the lake will be 492.1 kPa

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A cannonball is launched horizontally off a 30 m high castle wall with a speed of 60 m/s. How long will the cannonball be in flight before striking the ground

Answers

The cannonball will be in flight for approximately 1.17 seconds before striking the ground.

Given the following information: Cannonball is launched horizontally off a 30 m high castle wall with a speed of 60 m/s. Since the cannonball is launched horizontally, there is no initial vertical velocity. This means that the horizontal velocity of the ball will remain constant throughout the flight period. Using the equation:

time = distance / velocity

Since there is no horizontal acceleration, the horizontal distance travelled by the ball would be the horizontal distance between the point of launch and the point of impact on the ground. Thus, we can calculate the horizontal distance using the formula:distance = velocity x time

Thus, the time taken for the ball to reach the ground would be given by: time = distance / velocity= 70 m / 60 m/s = 1.17 seconds Therefore, the cannonball will be in flight for approximately 1.17 seconds before striking the ground.

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answer this plsss
The range of human hearing is 20 Hz – 20 000 Hz.
Calculate the longest and shortest wavelengths we can hear.

Answers

Explanation:

the velocity of sound in air is 330m/s

and v=fh, where h is wavelength f is frequency,

h=v/f.......(1)

longer wavelength

h=330/20,h=16.5m

shorter wavelength

h=330/20000,h=1.65x10-²m

The lesser frequency was used for finding the longer wavelength since wavelength is inversely proportional to frequency,

thus an increase in frequency brings a decrease in wavelength.

and shorter wavelengths are more high and intense

hope this helps

Which of the statements about the nitrogen cycle is not true? Animals get nitrogen by eating plants or other animals Animals get nitrogen by eating plants or other animals Decomposers break down waste to yield ammonium Decomposers break down waste to yield ammonium Nitrogen moves back and forth between the atmosphere and living things Nitrogen moves back and forth between the atmosphere and living things All plants generate nitrogen in their roots

Answers

Answer:

decomposers break down waste to yield ammonia.

Explanation:

The nitrogen cycle is the process by which nitrogen circulates among the atmosphere, terrestrial, and marine ecosystems and is converted into multiple chemical forms through both biological and physical processes.

In the nitrogen cycle, decomposers do not break down waste to yield ammonia.

So, the option ''decomposers break down waste to yield ammonia'' is correct.

a hockey puck is accelerated using a hockey stick over a smooth level ice surface the puck has a mass of 0.400kg and is moved by the stick for a distance of 0.800m what was the average forcr applied to the puck if the final speed is 25.0m/s

Answers

The average force applied to the puck of mass 0.4 kg is 156.25 N.

What is force?

Force is the product of mass and acceleration.

To calculate the average force applied to the puck, we use the formula below.

Formula:

F = mv²/2s.............................. Equation 1

Where:

F = Average forcem = Mass of the puck = 0.4 kgv = Final speed = 25 m/ss = Distance = 0.8 m

Substitute these values into equation 1

F = (0.4×25²)/(2×0.8)F = 156.25 N

Hence, the average force applied is 156.25 N.

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What is the second step in the consumer decision-making process?

deciding when and where to buy a product
comparing and contrasting different products
evaluating whether a good choice was made
finding the best solution to a problem or need

Answers

The second step in the consumer decision-making process is typically "information search," which involves gathering information about available options for a product or service that can fulfill a particular need or solve a problem.  Options A,B,C,D are correct.

This step can include seeking out recommendations from friends and family, conducting online research, reading reviews, visiting stores or showrooms, and comparing different products based on factors such as price, features, and quality. Once a consumer has identified a few potential options, the next step is often to compare and contrast those products, which is the third step in the decision-making process. This step involves analyzing the information that has been gathered during the information search stage, evaluating the relative strengths and weaknesses of each option, and weighing the pros and cons of each choice. By taking these steps, consumers can make informed decisions that are more likely to meet their needs and preferences. It's important for businesses to understand the consumer decision-making process and to provide relevant information and marketing messages to potential customers at each stage to influence their decisions and ultimately drive sales. Options A,B,C,D are correct.

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which of the four terrestrial planets has or have a global (planetwide) magnetic field?

Answers


Mercury and Earth are the only 2

A steel railroad track has a length of 30.000m when the temperature is 0.0∘C, the ends of the rail are rigidly clamped at 0.0∘C so that expansion is prevented. The thermal stress set up in the rail if its temperature is raised to 40.0∘C is

Answers

The thermal stress set up in the rail when its temperature is raised to 40.0∘C can be calculated using the formula:
Thermal Stress = (Coefficient of Linear Expansion) * (Change in Temperature) * (Young's Modulus)


To calculate the thermal stress, we need to know the coefficient of linear expansion and Young's modulus of the steel rail. Let's assume the coefficient of linear expansion is α and Young's modulus is Y.
Given that the length of the rail is 30.000m and the temperature change is from 0.0∘C to 40.0∘C, the change in temperature is 40.0∘C - 0.0∘C = 40.0∘C.
Assuming we have the values for α and Y, we can substitute them into the formula to calculate the thermal stress.
Thermal Stress = α * (Change in Temperature) * Y
Please provide the values for the coefficient of linear expansion (α) and Young's modulus (Y) for the steel rail so that we can calculate the thermal stress accurately.

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A student doing an experiment spilled some salt and sugar into the sink. How should these substances be cleaned up?

Answers

Answer:

I guess rinse it out and wipe it up. It's not a hazardous substance so there's nothing to worry about.

These substances should be cleaned up rinsing the area or removing the compounds with a cloth and dispose of it in the trash.

Sugar is a chemical compound also called sucrose. Its chemical formula is C12H22O11. This compound is normally used to sweeten foods.

On the other hand, common salt is a chemical compound. Its chemical formula is NaCl. This compound is normally used to give food a salty taste.

According to the above, in which a student spilled some salt and sugar in the sink and does not know how to clean it, it can be concluded that the proper way to clean these chemical compounds is by rinsing the area or removing the compounds with a cloth and dispose of it in the trash because neither of them represents biological, chemical or physical risks and a specialized treatment is not required for them.

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Vio
4. A plane starting from rest is accelerated uniformly to its takeoff speed of 72 m/s after 5.0 s.
What is the plane's acceleration?

Answers

Answer:

14.4 m/s²

Explanation:

The acceleration is the variation of speed divided by the time:

72/5 = 14.4 m/s²

to determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. if the time is 2.3 s, what is the height of the bridge? a) 10 m b) 14 m c) 26 m d) 32 m

Answers

the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. if the time is 2.3 s, 26m is the height of the bridge.

initial velocity u = 0m/s

time taken t = 2.3 s

height of the bridge is H = ut + 1/2 g t²

= 0+ 1/2 *9.8 * ( 2.3 )²

= 25.9 m≅26m

A bridge is a structure that spans a physical obstacle, such as a body of water, a valley, or a road. Bridges are designed to provide a stable and safe passage for people, vehicles, and materials. The design of a bridge depends on the type of obstacle it spans, the traffic it carries, and the environmental conditions in the area. Bridges can be made of various materials, including wood, stone, concrete, and steel. The construction of a bridge requires careful planning, engineering, and execution. Many factors must be considered, such as the load capacity of the bridge, the effects of wind and water on the structure, and the impact on the environment. Bridges play a vital role in transportation, commerce, and tourism.

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The scatterplot shows the number of beach visitors and the average daily temperature. Based on the scatterplot, what is the best prediction of the number of beach visitors if the average daily temperature is 88°F? A) 275 B) 350 C) 425 D) 500

Answers

Answer:

Option B (350) is the correct answer.

Explanation:

Given:

The temperature is "88°F" i.e., x.

Let number of visitors be "y".

Let the two points will be:

84,225 = (x₁, y₁)

92, 450 = (x₂, y₂)

As we know,

⇒  \(y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\)

On substituting the values, we get

⇒  \(y-225=\frac{450-225}{92-84}(88-84)\)

⇒  \(y=337.5\)

So that alternative B is the appropriate choice.

Each bat can produce different frequencies of ultrasound. Explain why this is useful if there are many bats hunting together.

Answers

Answer: Although low frequency sound travels further than high-frequency sound, calls at higher frequencies give the bats more detailed information--such as size, range, position, speed and direction of a prey's flight. Thus, these sounds are used more often.

Explanation:

Which climate favors mechanical weathering?

Answers

Cold climate favors rapid mechanical weathering, since the cold seasons cause the rock to contract.

What is mechanical weathering and what climate they favour?

Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water can seep through fractures and fissures in rock.

Cold climates promote mechanical weathering because they force rocks to contract and compress during the colder months. The rocks degrade and break at higher temperatures. Temperature fluctuations cause the expansion and contraction of rock (with cold). As this continues repeatedly, the structure of the rock deteriorates. It breaks down over time.

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Un globo es inflado hasta obtener 1.5 atm, con un volumen de 500 cm³ a 273 K. Luego, es colocado en el frezzer ¿Cuál será su temperatura, con 1.2 atm y 300 cm³?

Answers

Respuesta: T2 = 131.04K

Explicación: Dado lo siguiente:

Presión, P1 = 1.5 atm = 1.5 × 760 = 1140 mmHg

Presión, P2 = 1.2 atm = 1.2 × 760 = 912 mmHg

Volumen, V1 = 500cm3 Volumen, V2 = 300cm3

Temperatura, T1 = 273K Temperatura, T2 =?

Usando la fórmula de gas combinada:

P1V1 / T1 = P2V2 / T2

Ingresando nuestros valores:

(1140 × 500) / 273 = (912 × 300) / T2

T2 × (1140 × 500) = 912 × 300 × 273

T2 = 74692800/570000 T2 = 131.04K

A distant planet with a mass of (7.2000x10^26) has a moon with a mass of (5.0000x10^23). The distance between the planet and the moon is (6.10x10^11). What is the gravitational force between the two objects?

A distant planet with a mass of (7.2000x10^26) has a moon with a mass of (5.0000x10^23). The distance between the planet and the moon is (6.10x10^11). What is the gravitational force between the two objects?

Answers

Answer:

Explanation:

This is a simple gravitational force problem using the equation:

\(F_g=\frac{Gm_1m_2}{r^2}\) where F is the gravitational force, G is the universal gravitational constant, the m's are the masses of the2 objects, and r is the distance between the centers of the masses. I am going to state G to 3 sig fig's so that is the number of sig fig's we will have in our answer. If we are solving for the gravitational force, we can fill in everything else where it goes. Keep in mind that I am NOT rounding until the very end, even when I show some simplification before the final answer.

Filling in:

\(F_g=\frac{(6.67*19^{-11})(7.2000*10^{26})(5.0000*10^{23})}{(6.10*10^{11})^2}\) I'm going to do the math on the top and then on the bottom and divide at the end.

\(F_g=\frac{2.4012*10^{40}}{3.721*10^{23}}\) and now when I divide I will express my answer to the correct number of sig dig's:

\(Fg=\) 6.45 × 10¹⁶ N

A student throws a baseball at 25 m/s upward at 60 degrees above the horizontal. The diagram represents the position of the ball while in flight. The baseball will have a horizontal velocity of

Answers

Answer:

i dont know!

Explanation:

Answer:

A student throws a baseball upwards at an angle of 60 degrees to the horizontal … above. At position C, the ball will have horizontal velocity of 12.5 m/s

Explanation:

^^

15. Which element will donate electrons?
nitrogen
chlorine
aluminum
sulfur

Answers

I think its nitrogen sorry if I’m wrong

the largest hydroelectric dam in the world is located on one of the world’s longest rivers in this area.

Answers

The largest hydroelectric dam in the world is the Three Gorges Dam, located on the Yangtze River in China.

The Yangtze River is the longest river in Asia and the third-longest river in the world, with a total length of approximately 6,300 km. The Yangtze River Basin is a vital economic and cultural region in China, supporting more than 400 million people and serving as a major transportation artery.

The Three Gorges Dam was built to provide hydroelectric power, improve river navigation, and control flooding in the Yangtze River Basin. The dam is approximately 2.3 km long and 185 meters tall, with a reservoir capacity of over 39 billion cubic meters of water.

The Three Gorges Dam is an impressive engineering feat and has significant economic and environmental impacts on the region. The dam provides clean and renewable energy, supports increased river transportation, and helps prevent devastating floods that have historically occurred in the Yangtze River Basin.

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Complete question is:

Largest hydroelectric dam in the world is located on one of the world’s longest rivers. Where is the dam located?

How can a small boy balance a big boy
on asea- saw ? Show with a diagram​

Answers

Answ

— How can a small boy balance a big boy on a sea-saw? Show with a diagram. fast please...... Get the answers you need, now!

2 answers

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Explanation:

- Explain why an aircraft will tend to lose height
when banking, unless the pilot increases its speed to
provide more lift.

Answers

Answer:

the planes wings are lifting  at an angle to gravity so the plane isn't lifting as much against gravity when it banks.  some of the wing lift is going into turning the plane.   :)   so it needs more lift to bank and stay up

Explanation:

Banking the aircraft no longer regulates the quantity of lift being generated by the wing.

Why an aircraft will tend to lose height when banking?

If the aircraft was making simply sufficient elevate to stay within the air before the bank (because it typically is), then whilst the aircraft has banked the share of elevating acting “upward" will now not be sufficient to equal the plane's weight, so the plane will start to descend.

The ordinary method of the pilot in this example is to increase the entire raise generated by the wing, by means of the growing attitude of attack, till the upward issue of carrying is over again sufficient to maintain up the aircraft.

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Evidence card 2: Repelling magnets it was harder to push the magnets together as they got closer together.

What affects the amount of potential energy stored in the magnetic field when a magnet is moved against a magnetic force?

Answers

The  thing that affects the amount of potential energy stored in the magnetic field when a magnet is moved against a magnetic force is by the strength of the magnet as well as the distance that another magnet or magnetic object is said to be from it.

What aspects of magnetic potential energy affect it?

Potential energy between two magnets will depend on their orientation as well as their proximity to one another and their distance from one another. If the opposing poles are kept apart, the potential energy will increase with increasing distance and decrease with increasing proximity.

More energy is transferred to the magnetic field when an object is moved against a stronger magnetic force. Near magnets, magnetic forces are stronger.

Therefore, The power of the magnet and the separation from other magnets or magnetic objects have an impact on how much potential energy is held in the magnetic field.

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what is the SI unit of wavelength of a wave?

Answers

The SI unit of wavelength of a wave is meters (m).

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