The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the sd of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.

Answers

Answer 1

Here are some possible percentages and their corresponding estimated z-scores:

Percentage of people with blood pressure below 120 mm: approximately 9.1% Estimated z-score: z = (120 - 140) / 20 = -1Percentage of people with blood pressure between 120 and 160 mm: approximately 68.3%Estimated z-scores: z1 = (120 - 140) / 20 = -1 and z2 = (160 - 140) / 20 = 1Percentage of people with blood pressure above 160 mm: approximately 9.1%Estimated z-score: z = (160 - 140) / 20 = 1

These percentages are based on the empirical rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

What is the empirical rule?

The empirical rule, also known as the 68-95-99.7 rule, is a statistical principle that describes the approximate distribution of data in a normal distribution. The rule states that:

Approximately 68% of the data falls within one standard deviation of the mean.Approximately 95% of the data falls within two standard deviations of the mean.Approximately 99.7% of the data falls within three standard deviations of the mean.

This rule is based on the assumption that the data is normally distributed, meaning that it follows a symmetrical bell-shaped curve. The empirical rule is widely used in statistics and is helpful in understanding the range of values that are likely to occur in a normal distribution.

It is important to note that the empirical rule provides only approximations and can vary in accuracy depending on the specific data and distribution being analyzed.

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Answer 2

Option: B, The percentage of people with blood pressure between 114 and 166 mm

What is the empirical rule?

The empirical rule, also known as the 68-95-99.7 rule, is a statistical principle that describes the approximate distribution of data in a normal distribution. The rule states that:

=> P(114 < x < 166)

=> P((114-140)/20 < z < (166-140)/20)

=> P(-1.3 < z < 1.3)

=> 0.8064

=> 80.6% rounded

option: D The percentage of people with blood pressure between 114 and 166 mm

=> P(140 < x < 166)

=> P((140-140)/20 < z < (166-140)/20)

=> P(0 < z < 1.3)

=> 0.4032

=> 40.3% rounded

option: C The percentage of people with blood pressure over 166 mm

=> P(x > 166)

=> P(z > (166-140)/20)

=> P(z > 1.3)

=> 0.0968

=> 9.7% rounded

This rule is based on the assumption that the data is normally distributed, meaning that it follows a symmetrical bell-shaped curve. The empirical rule is widely used in statistics and is helpful in understanding the range of values that are likely to occur in a normal distribution.

It is important to note that the empirical rule provides only approximations and can vary in accuracy depending on the specific data and distribution being analysed.

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Related Questions

Water has a specific heat of 4184 Jkg⋅∘C. How much energy is needed to increase the temperature of a kilogram of water5∘C?

Answers

The specific heat capacity of water is 4184 and it needs 20920J energy to increase the temperature of a kilogram of water 5 degree celcius.

The amount of heat required to raise the temperature of one gramme of a substance by one degree Celsius. Specific heat is usually measured in calories or joules per gramme per Celsius degree. Water, for example, has a specific heat of 1 calorie (or 4.186 joules) per gramme per Celsius degree.
A substance's specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of that substance by 1oC. (or 1K). The SI unit of measurement is joule per kilogramme per kelvin (Jkg-1K-1).

By using the equation:-

Q= mCΔmCΔTT

(where, Q= energy, m= mass of the sample, C= specific heat of the sample and delta T is the change in temperature).

[tex]Q= 1kg*4184J*(5-0)= 20920J.[/tex]

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5. On some highways, exit signs are numbered according to the number of kilometres the
exit is from the place where the highway originated. If you are driving south and pass
exit 35 at 2:15 pm and then you pass exit 116 at 3:09 pm, what is your velocity in m

Answers

Answer:

We can start by using the formula:velocity = distance/timeFirst, we need to calculate the distance traveled in kilometers.

To do this, we can subtract the exit numbers:

116 km - 35 km = 81 km

Next, we need to convert the time difference from hours and minutes to hours:

3:09 pm - 2:15 pm = 0.9 hours

Now we can use the formula to find the velocity:

velocity = 81 km / 0.9 hours

velocity ≈ 90 km/h

Finally, we can convert this velocity to meters per second by multiplying by 1000/3600:

velocity = 90 km/h x 1000 m/km / 3600 s/h

velocity ≈ 25 m/s

Therefore, your velocity is approximately 25 m/s.

Explanation:

A wave on a small lake has an amplitude of 0. 1 meters. What happens to the energy of the wave by doubling its height to 0. 2 meters?.

Answers

The energy of a wave is proportional to the square of its amplitude. Doubling the amplitude of a wave quadruples its energy.

Therefore, if the original wave on the small lake had an amplitude of 0.1 meters and a certain amount of energy, doubling its amplitude to 0.2 meters would increase its energy by a factor of 4. In other words, the energy of the wave would become 4 times greater than its original value.

What do you mean by amplitude?

The largest deviation a wave can make from its equilibrium position is referred to as its amplitude. In plainer terms, it refers to the height of a wave, or the distance between the highest point (the wave's crest) and the lowest point (its trough).

A wave's energy, or the entire amount of work that the wave may exert on its surroundings, is measured by the amplitude of the wave. The wave carries more energy the larger its amplitude.

The term "amplitude" is frequently used to describe a variety of waves, such as sound, light, and water waves. It is typically expressed as a "A" sign and is measured in units of measurement like meters or feet.

To calculate the energy of the wave by doubling its height:

(Energy after / Energy before) = (Amplitude after)^2 / (Amplitude before)^2

Substituting the given values, we get:

(Energy after / Energy before) = (0.2)^2 / (0.1)^2 = 4

This means that the energy of the wave after doubling its amplitude would be four times the energy of the original wave.

So, if the original wave had an energy of E, the energy of the wave after doubling its amplitude would be 4E.

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If the back of the truck is 1.3 m above the ground and the ramp is inclined at 28 ∘ , how much time do the workers have to get to the piano before it reaches the bottom of the ramp?

Answers

According to the problem Plugging in our values, we get a time of 1.29 seconds.

What is time?

Time is the indefinite continued progress of existence and events that occur in apparently irreversible succession from the past through the present to the future. It is an abstract concept that measures the duration of an event or the interval between two events.

The time it takes for the piano to reach the bottom of the ramp can be calculated using basic kinematic equations. First, we must find the initial velocity of the piano as it starts down the ramp. This can be calculated using the formula v = gsinα, where v is velocity, g is the gravitational acceleration (9.81 m/s2 on Earth), and α is the angle of the incline (in this case 28°).
Using this equation, we get an initial velocity of 3.83 m/s.
Next, we need to find the distance that the piano will travel before it reaches the bottom of the ramp. This can be calculated using the formula d = 1/2 gt2, where d is distance, g is the same gravitational acceleration, and t is the time it takes for the piano to reach the bottom of the ramp.
Plugging in our initial velocity from before, we can rearrange the equation to solve for t. We get t = √(2d/g), where d is the distance that the piano needs to travel (in this case, 1.3 m). Plugging in our values, we get a time of 1.29 seconds.

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F. Reflection

*What is force and what types of force?

*Why it is important to know friction and gravity in our daily interactions in our life whether in the community or inside our home?​

Answers

(a) Force is a physical quantity that describes the interaction between two objects or systems.

(b) Friction is the force that opposes motion between two surfaces in contact, and it is important because it allows us to walk, drive, and perform other tasks that require traction. Gravity, on the other hand, is the force that attracts objects to each other, and it is important because it keeps us and everything around us grounded on the Earth.

What is force and what types of force?

Force is a vector quantity, meaning that it has both magnitude and direction. The SI unit of force is the Newton (N).

There are several types of force, including:

Contact forcesNon-contact forcesApplied forcesRestoring forces

Friction and gravity are two important forces that we encounter in our daily interactions.

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in the vector diagram below, the magnitude of A is 15m, the magnitde of B is 18m and the magnitude of C is 6m. Find the resultant vector using component method. Angle A = 35 Angle B = 30 Angle C = 50.

Answers

Answer:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Explanation:



For which of the following configurations is the transit method best suited?
O Star/Planet systems that we view face-on (small inclination angles).
O Star/Planet systems that we view edge-on (inclination angle near 90 degrees).
O The inclination angle does not matter

Answers

Configurations in the transit method best suited for: Star/Planet systems that we view face-on (small inclination angles). The first option is the correct answer.

What is transit ?

A transit occurs when a planet passes between a star and its observer. Transits within our solar system can be observed from Earth when Venus or Mercury travel between us and the Sun.

The transit method is best suited for observing star/planet systems that we view face-on (small inclination angles). This is because when the planet passes in front of the star from our perspective, it blocks a small fraction of the star's light and causes a dip in the star's brightness, which can be detected and measured by telescopes.

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hellppplpp me on this besties

Answers

The acceleration of the car is  2.5 m/s² to the right.

What is the acceleration of the car?

The acceleration of the car is calculated by applying Newton's second law of motion as shown below.

F  (net ) = ma

F - Ff = ma

where;

m is the mass of the cara is the acceleration of the carFf is the force of friction of the carF is the applied force of the car

3400 N - 400 N = 1200a

3000 = 1200a

a = 3000 / 1200

a = 2.5 m/s² to the right

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What is the mathematical expression for the quantization of energy in a system described by the Schrödinger equation and how does it relate to the concept of quantized energy levels in an atom?

*Answer = 50 Points

Answers

Answer:

The mathematical expression for the quantization of energy in a system described by the Schrödinger equation is given by the eigenvalue equation:

HΨ = EΨ

Where H is the Hamiltonian operator, Ψ is the wave function, and E is the eigenvalue that represents the quantized energy of the system.

The concept of quantized energy levels in an atom is related to the quantization of energy in the Schrödinger equation. In quantum mechanics, atoms can only exist in certain energy levels or states, which are determined by the solutions to the Schrödinger equation. These energy levels are quantized, meaning that the energy can only take on specific values, and not any value in between. This results in the characteristic spectra of atomic systems, where the electrons in an atom can only transition from one energy level to another by absorbing or emitting a photon with an energy that corresponds to the difference in energy between the two levels.

In summary, the quantization of energy in a system described by the Schrödinger equation is the foundation for the concept of quantized energy levels in atoms, which has important implications for our understanding of the behavior of atoms and the properties of materials.

Which statements are inconsistent with Dalton’s atomic theory as it was originally stated? Why?
a. All carbon atoms are identical.
b. An oxygen atom combines with 1.5 hydrogen atoms to form a water molecule.
c. Two oxygen atoms combine with a carbon atom to form a carbon dioxide molecule.
d. The formation of a compound often involves the destruction of one or more atoms.

Answers

Statement b and d are inconsistent with Dalton's atomic theory.

Dalton's atomic theory, as originally stated, includes the following postulates:

All matter is made up of tiny, indivisible particles called atoms.

All atoms of a given element are identical in mass and properties.

Compounds are formed when atoms of different elements combine in fixed ratios.

Chemical reactions involve the rearrangement of atoms; no atoms are created, destroyed or changed into atoms of another element.

Statement b contradicts postulate 3 by suggesting that a water molecule is formed from 1.5 hydrogen atoms and 1 oxygen atom. However, in Dalton's theory, atoms combine in whole-number ratios to form compounds.

Statement d contradicts postulate 4 by suggesting that the formation of a compound involves the destruction of one or more atoms. However, in Dalton's theory, atoms are neither created nor destroyed in chemical reactions. Instead, they are rearranged to form new compounds.

Statement a and c are consistent with Dalton's atomic theory as all atoms of a given element are identical in mass and properties and compounds are formed when atoms of different elements combine in fixed ratios.

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excavation costs are based on the
A. amount of earth removed
B. depth of the frost line in the area
C. time involved multiplied by a standard rate
D. sophistication of the machinery necessary

Answers

Answer:

C

Explanation:

Excavation costs are generally based on the time involved multiplied by a standard rate.

If a piece of stone has attained a velocity of 88.2 m/s after falling for eight seconds what was its initial velocity

Answers

Answer:

the stone's final speed just before hitting the ground is: v = √(2 × 9.81 × 90) m/s = √(1765.8) m/s = 42.0 m/s.

A car is stopped at a traffic light. It then travels along a straight road so that its distance from the traffic light is given by x(t)=bt^2 −ct^3 , where b=2.40ms^−2 and c=0.120ms^−3 .The instantaneous velocity of the car at t=5.0s is

Answers

The instantaneous velocity of the car at t = 5.0s is 4.5 m/s.

Take the derivative of its position function x(t) with respect to time,

[tex]v(t) = \dfrac{dx(t)}{dt}[/tex]

v(t) represents the velocity of the car at any given time t.

Given x(t) = bt^2 - ct^3,

Find the derivative as follows,

v(t) = {d/dt} (bt^2 - ct^3)

= 2bt - 3ct^2

Substitute the given values of b and c, and evaluate the velocity at t = 5.0s,

v(5.0s) = 2b(5.0s) - 3c(5.0s)^2

= 2(2.40 m/s^2)(5.0 s) - 3(0.120 m/s^3)(5.0 s)^2

= 12.0 m/s - 7.5 m/s

= 4.5 m/s

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Impulse is equal to ... (pick TWO answers)

A. the change in momentum of an object.
B. the change in mass of an object.
C.the change in volume of an object.
D. a force applied to an object for a period of time.
E. the original momentum of the object.​

Answers

Answer:

A

Explanation:

Momentum change is basically impulse

Object possessing more velocity after bouncing OR the object which bounces more have more impulse

In the pre-lab questions, you found how the temperature of a sample depended on time as heat flowed out of it into a cold water bath. Here, you found an exponential relation. Specifically, you found that the temperature difference between the sample and the bath decayed exponentially in time as Tdif = (constant) e-t. The decay constant was found by combining the equations for heat/temperature change (Q = mcAT) for both the water bath and the sample, and the rate of heat flow through a sample, = "A (Th – T.) = 6g 2012 (T- Tu) = K520Taif, where Ks is the thermal conductivity of the sample, A = 2nrl is the lateral surface area of the cylindrical sample, I is the length of the cylindrical sample, Ax =s is the thickness (radius) of the cylindrical sample the heat must flow through (from inside to outside), and Tdif = T, – Tw is the difference between the internal temperature of the sample and the temperature of the water bath. Combining these equations and solving the resulting differential equation, we found that the exponential decay constanta = ,291 (m.c. + monew). What is the value of this exponential decay constant for Polly? Your answer should be in s-1. Assume that the average value for thermal conductivity of human tissues is 0.5 W/(m°C) and that Polly's height (length) 1 =1.5 m. Again, Polly's mass is 60 kg, assume here that Polly's specific heat is 3500 J/(kg°C), the water's mass is 300 kg, and the specific heat of water is 4186 J/(kg°C).O 2.3x10-55-1 O 4.8x10651 O 2.6x10-551 O 5.6x10651

Answers

The correct answer is c. The exponential decay constant's value is [tex]2.6*10^{-55 }s^{-1}[/tex].

To find the value of the exponential decay constant, we need to calculate Ks, the thermal conductivity of the sample. We employ the equation to arrive at this. [tex]Ks = mc + mow[/tex],

where m is the mass of Polly, c is the specific heat of the human tissues, and mow is the mass of the water. Plugging in the values for Polly's mass (60 kg), the specific heat of the human tissues (3500 J/(kg°C)) and

the mass of the water (300 kg),

and the specific heat of the water (4186 J/(kg°C)),

we get Ks = 0.5 W/(m°C).

Now, we can plug in the values for Ks, A, I, and Ax into the equation for[tex]Tdif = (constant) e^{-t}[/tex]

to calculate the exponential decay constant. By entering the values, we obtain the equation.

[tex]Tdif = (constant) e^{-t} = (0.5 W/(mC) * 2nrl * 1.5 m * 0.5 m) e^{-t}.[/tex]

Simplifying, we get  [tex]Tdif = 2.6*10^{-55} e^{-t}.[/tex].

Therefore, the value of the exponential decay constant is  [tex]2.6*10^{-55 }s^{-1}[/tex].

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A personal training log is a record of your physical activity. It should be created in a table (Microsoft Word) or spreadsheet (Excel) format. The log should contain enough information so that you know what dates you exercised on, what activity(s) you did, how long you spent exercising, and any weights used (if applicable). It should also contain a spot to note personal fitness improvements made with each exercise session.
The final requirement is to set a fitness goal for yourself. What do you want to accomplish by being physically active? Some examples include losing weight, gaining muscle strength, improving cardiovascular conditioning or getting ready for a competition. These are just examples though. Your goal can be anything you want to achieve in relation to your physical health. Write your goal above your log.
You will first submit this log blank for review by your teacher by uploading it as an attachment (do not use the answer box). At the end of the course in the lesson entitled "Racewalking", you will be submitting your completed log to determine how well you have done with achieving your fitness goals.

Answers

A scenario of how the log will be is given in the image attached.

What is the training log?

In this scenario attached, the individual has set a goal of increasing their muscle strength and overall fitness. They have been keeping track of their exercises in a log, noting the date, activity, time, weights used, and improvement from the last session.

Therefore, As shown in the log, the individual has been progressively increasing the weights used in each exercise, which is a sign of improvement and progress towards their goal. By keeping this log, the individual can easily track their progress and make adjustments to their training routine as needed.

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what present day conditions could be compared to conditions during the Cretaceous

Answers

Present day conditions that could be compared to conditions during the Cretaceous include global warming, rising sea levels, and increased extinctions. During the Cretaceous period, global temperatures were much higher than they are today, leading to rising sea levels. Additionally, the period was marked by a large number of extinctions due to climate change and other factors. These conditions are similar to the ones seen today, as global temperatures continue to rise, sea levels continue to increase, and biodiversity continues to decline.
Final answer:

Present-day conditions that are similar to the Cretaceous period include a warm climate and high sea levels. However, today's situations are influenced by human activities unlike those in the Cretaceous era.

Explanation:

The Cretaceous period was marked by a warm climate, high sea levels, and abundant green life. Some present-day conditions might mirror those of the Cretaceous period. For instance, current issues like global warming and rising sea levels are somewhat akin to conditions in the Cretaceous. Nonetheless, it's crucial to remember that modern situations are influenced by anthropogenic activities, whereas Cretaceous conditions were primarily determined by natural processes.


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a) calculate the magnitude of the force parallel to surface 1 b) calculate the magnitude of the force parallel to surface 2

Answers

a) the magnitude of the force parallel to surface 1 is 6.13 N

b) the magnitude of the force parallel to surface 2 is 4.02 N.

Force Parallel to both Surfaces

The gravitational force acting on each object is given by F = m * g

where m is the mass of the object

and g is the acceleration due to gravity (g = 9.8 m/s^2 on the surface of the earth).

Let's call the force parallel to surface 1 F1, and the force parallel to surface 2 F2.

a) To calculate the magnitude of F1:

F1 = m1 * g * cos(angle of elevation of surface 1)

m1 = .800 kg (mass of object on surface 1)

angle of elevation of surface 1 = 40 degrees

F1 = .800 kg * 9.8 m/s^2 * cos(40) = 6.13 N (approx.)

b) To calculate the magnitude of F2:

F2 = m2 * g * cos(angle of elevation of surface 2)

m2 = .500 kg (mass of object on surface 2)

angle of elevation of surface 2 = 55 degrees

F2 = .500 kg * 9.8 m/s^2 * cos(55) = 4.02 N (approx.)

So, the magnitude of the force parallel to surface 1 is 6.13 N and the magnitude of the force parallel to surface 2 is 4.02 N.

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An object travels 15 meters in 5 seconds. What is that object's speed in meters per second?

Answers

Answer:

The object's speed is 3 meters per second.

Explanation:

"A strength training program is built on a series of exercises that targets specific muscle groups. "

Options:
True
False

Answers

Answer:

It's False

Explanation:

I know :)

True. "A strength training program is built on a series of exercises that targets specific muscle groups. "

What is Strength?

Strength is the ability of a muscle or group of muscles to exert force against a resistance. It is often measured by the maximum amount of weight or resistance that a person can lift or move in a single repetition, commonly referred to as their "one-rep max." Strength can be developed through resistance training, which involves working against progressively heavier loads or resistance over time, causing the muscle fibers to adapt and become stronger. Building strength can have a variety of benefits, including improved athletic performance, increased bone density, and better overall physical health and well-being.

By targeting specific muscle groups with exercises, strength training programs can help individuals build muscle mass, increase bone density, improve balance and coordination, and enhance overall physical performance. Additionally, strength training has been shown to have many health benefits, such as reducing the risk of chronic diseases, improving mental health, and enhancing overall quality of life.

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Describe a situation in which these two velocity vectors are different. Use complete sentences.

Answers

When acceleration is equal to zero average velocity and the instantaneous velocity vectors are identical.

Types of velocity

Velocity is defined as the rate of displacement of an object with respect to time. It is measured in meter/ seconds and is a vector quantity.

Acceleration is defined as the rate at which velocity changes with time.

There are two types of velocity which includes:

Average velocity: This is the average rate of change of position of particles with respect to time over an interval.

Instantaneous velocity: This is defined as the specific rate of change of position with respect to time at a particular point.

The situation that will make the average velocity and the instantaneous velocity vectors to be equal or identical is when acceleration is equal to zero.

A rotating platform with a radius of 2. 0 m makes one complete turn every 3. 0 s. The angular velocity of the platform is most nearly.

Answers

The velocity v, angular speed ω and radius r have the relationship of:
.
The angular speed (a.k.a angular frequency) ω and the period T have the relationship of:
.
So:

Two boys Raghav and Ramesh make a toy telephone by joining two
bod plastic cups through a long string. They both stand apart. Raghav
speaks softly into one cup and Ramesh hears by putting his ear in the
other cup. Now Ramesh speaks and Raghav listens.
(a) What type of waves are produced by voice of Raghav and Ramesh
in the air inside the plastic cup?
garo (b) What type of waves are produced in the string?
(c) Write any one difference between these types of waves.
OR
wavelength of a sound wave.

Answers

(b) Wha type of waves are produced in the string

Transverse wave is produced by the string. longitudinal wave is formed by the voice of both of them in plastic cup

Students are conducting an experiment. One student has kept 3 books and another student 6 books. They are using a ramp with same size and dimensions. They are measuring the distance travelled by the car. What they are trying to find out? Will you be able to predict the outcome and give conclusion for that experiment?

Answers

A student conducts an experiment to find the speed of a toy car that has been released from various heights on a ramp as it reaches the bottom of the ramp.

What are the outcomes of the experiment?

The student may need to obtain more height measurements in order to confirm the accuracy of his experiment and thereby enhance it. By averaging all the heights, it is now possible to determine the height's accuracy.

The results show the speed of a toy car from different heights measurements and can be improved by doing different trials.

Therefore, students try to find out the speed of a toy car from different heights.

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When a skydiver falls which force is acting in the opposite direction to gravity?

Answers

When a skydiver falls, air resistance, or drag, is the force that acts in the opposite direction to gravity.

As the skydiver falls through the atmosphere, air molecules collide with their body, creating a force that opposes the direction of motion. The magnitude of the air resistance force depends on the speed of the skydiver, the surface area of their body, and the density of the air.

Initially, when the skydiver jumps out of the plane, the force of gravity pulls them downward, and they start accelerating towards the ground. As they gain speed, the air resistance force gradually increases until it becomes equal in magnitude to the force of gravity. At this point, the skydiver stops accelerating and falls at a constant velocity, known as the terminal velocity.

The air resistance force is proportional to the velocity of the skydiver, which means that increasing the velocity increases the air resistance force. At high velocities, the air resistance force becomes so strong that it eventually overcomes the force of gravity, allowing the skydiver to slow down and eventually land safely on the ground.

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The words technology and ideology both contain the suffix -ology. Based on this information, what the does the suffix -ology MOST LIKELY mean?

Answers

The words technology and ideology both contain the suffix -ology. Based on this information,the suffix -ology means something added to the end of something else.

What is a suffix?

After a word's stem, an affix is called a suffix. Common examples are verb endings, which constitute the conjugation of verbs, case endings, which show the grammatical case of nouns, and adjectives. Inflectional and lexical suffixes are two types of suffixes that can carry grammatical information. a grammatical or inflectional suffix When a word is inflected in this way, its syntactic category and grammatical qualities are altered. Class-changing and class-maintaining derivational suffixes are the two types of derivational suffixes.Suffixes are known as affirmatives because they have the aabilitybility to change the form of words, especially in the study of Semitic languages.

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A yoga instructor weighing 490 N sits, meditating, on a plane that is inclined 20.0° above the horizontal. Find the components of the weight forces that are parallel and perpendicular to the plane.

Answers

The vector components of the weight force parallel to the plane is 463.4 N, and the component perpendicular to the plane is 166.8 N upward.

What are the vector components?

A quantity which has both magnitude and direction is termed as a vector quantity. It can be divided into two components in 2-dimensional plane: The vertical component and the horizontal component.

The weight force, which is equal to the force of gravity acting on the yoga instructor, has a magnitude of 490 N, which we can decompose into its vertical and horizontal components using trigonometry:

Vertical component = weight force x sin(20°)

= 490 N x sin(20°)

= 166.8 N (upward)

Horizontal component = weight force x cos(20°)

= 490 N x cos(20°)

= 463.4 N (parallel to the plane)

So the component of the weight force parallel to the plane is 463.4 N, and the component perpendicular to the plane is 166.8 N upward.

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Electric rail cars often use magnetic braking. The brake consists of a set of electromagnets that are held just above the rails. To brake the train, the electromagnets are switched on, creating a magnetic field that induces eddy currents in the metal rails passing beneath them. In the figure, which of the choices correctly represents the eddy currents induced in the rails? The diagrams represent a view from above, looking down at the rail through the electromagnet. The electromagnet moves to the right, and the magnetic field points into the screen.
Choose the correct answer A,B,C, or D

Answers

The correct choice for the direction of the eddy currents induced in the rails is option A,

As the electromagnet moves to the right and the magnetic field points into the screen, the magnetic flux passing through the metal rails changes, which induces eddy currents in the rails. These eddy currents produce their own magnetic field that opposes the motion of the electromagnet and slows down the train.

              Based on the given information, we can determine that the correct choice for the direction of the eddy currents induced in the rails is option A, which shows a circular current flowing in a clockwise direction as viewed from above. This direction of the eddy currents corresponds to Lenz's law, which states that the direction of the induced current will be such that it opposes the change in the magnetic field that produced it. In this case, the eddy currents produce a magnetic field that opposes the motion of the electromagnet, creating a braking force on the train.

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define henry and its dimnsions

Answers

Answer:

The henry (symbolized H) is the International System of Units (SI) derived unit of electrical inductance. Reduced to base SI units, one henry is the equivalent of one kilogram meter squared per second squared per ampere squared (kg m2 s-2 A-2).

A force of 227 N is spread over an area of 3 m². What is the pressure?

Answers

Answer:

Explanation:

p=227/3=75.66Pascal

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Pressure is defined as : Force per unit Area

[tex]\qquad \sf  \dashrightarrow \: p = \dfrac{force}{area} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = \dfrac{227}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p \approx75.67 \: \: pascals[/tex]

[ note : to get pressure in pascals, force and area should be in S.I unit, it's given in S.I unit in given question, but if not you can make conversion first and then solve ]

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