A girl and a boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center. Who has greater angular displacement?
A. both the girl and the boy have zero angular displacement
B. both the girl and the boy have the same non zero displacement
C. the boy has greater
D. the girl has greater

Answers

Answer 1

Option B. is correct. Both the girl and the boy have the same non-zero displacement.

Angular displacement is the angle covered by an object moving along a circular path in a particular direction, usually measured in radians or degrees. It represents the change in the object's position relative to its starting point on the circle. For example, if an object moves along a circular path from an initial point at an angle of 30 degrees to a final point at an angle of 60 degrees, its angular displacement would be 30 degrees (i.e., the difference between the final and initial angles). The direction of the angular displacement is determined by the direction of rotation.

Angular displacement is the angle through which an object moves on a circular path, measured in radians. In this case, both the girl and the boy are riding on a merry-go-round that is turning at a constant rate, so they both have a non-zero angular displacement. Since they are both on the same merry-go-round, the magnitude of their angular displacement is the same. Therefore, option B is correct.

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Related Questions

difference between universal law of gravitation and acceleration due to gravity​

Answers

Explanation:

The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G(capital g). The relation between G and g is not proportional. That means they are independent entities.

G and g

In physics, G and g can be related mathematically as –

\(g=\frac{GM}{R^{2}}\)

Where,

1=g is the acceleration due to the gravity of any massive body measured in m/s2.

2=G is the universal gravitational constant measured in Nm2/kg2.

3=R is the radius of the massive body measured in km.

4=M is the mass of the massive body measured in Kg.

A particle of mass m=5x10^-27 kg has an initial speed of 2x105 m/s. The particle travels in a straight line and its speed increases to 4x10^5 m/s on a distance of 10 cm. Assuming that the acceleration is constant, the
force exerted on the particle is:
3x10^-15 N
3x10^-20 N
8.65x10^-23N
1.73x10^-22 N

Answers

Answer:

Explanation:

Given:

m = 5·10⁻²⁷ kg

V₁ = 2·10⁵ m/s

V₂ = 4·10⁵ m/s

D = 10cm = 0.10m

_______________

a - ?

The change in kinetic energy is equal to the work:

Ek₂ - Ek₁ = F·D

m·V₂² / 2 - m·V₁² / 2 = F·D

(m/2)·(V₂² - V₁²)  = F·D

Force:

F = (m/2)·(V₂² - V₁²) / D

F =   m·(V₂² - V₁²) / (2·D)

F = (5·10⁻²⁷)·( (4·10⁵)² - (2·10⁵))/ (2·0.10) ≈ 3·10⁻¹⁴ N

2. how much energy, in kj, does a 75 watt light bulb use then it is turned on for 25 minutes? (3 points)

Answers

112.5 kJ is used when  a 75 watt light bulb used for 25m.

Energy  is a quantitative property given to a body or physical system, identifiable in the performance of work or in the form of heat and light. Standard mechanical size. Energy is Conserved - The law of conservation of energy states that energy can be transformed into form, but cannot be created or destroyed. The unit of measure for energy in the International System of Units (SI) is the joule (J). Common forms of energy include the kinetic energy of moving bodies, the potential energy stored in bodies (due to their position in the field, etc.), the elastic energy stored in fixed bodies, the chemical energy associated with chemical reactions, Radiant energy carried by electromagnetic radiation and internal energy contained in thermodynamic systems. All living things absorb and emit energy all the time.

Energy = Power x Time

  Time = 25 minutes

            = 25 x 60 sec = 1500 sec

Power = 75 watt

Energy = 75 x 1500

               112,500 Joules

Energy in KJ = 112,500/1000

                    = 112.5 KJ

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two identical spheres of mass 1 kg are plafed near each other. to keep the spheres apart, a light spring is placed between them. the spring has a natural length of 1.0 m. if equilibrium is a chived when the spheres are 0.2 m apart, what is the spring constant of the spring

Answers

The spring constant of the spring is 25 N/m.

We can use Hooke's law, which states that the force exerted by a spring is proportional to its displacement from its equilibrium position, to solve for the spring constant.

In this problem, the spring is compressed by a distance of 0.8 m (from its natural length of 1.0 m to a length of 0.2 m) to keep the spheres apart.

Therefore, the force exerted by the spring can be calculated as:

F = kx

where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.

Plugging in the given values:

F = k(0.8 m)

We know that the equilibrium is achieved when the net force on the spheres is zero. Therefore, the force exerted by the spring must be equal in magnitude and opposite in direction to the force of gravity pulling the spheres together.

The force of gravity can be calculated as:

Fg = Gm^2/r^2

where Fg is the force of gravity, G is the gravitational constant, m is the mass of each sphere (1 kg in this case), and r is the distance between the centers of the spheres (0.2 m + 0.5 m + 0.2 m = 0.9 m).

Plugging in the given values:

Fg = (6.67 x 10^-11 N m^2/kg^2)(1 kg)^2/(0.9 m)^2

Fg = 8.27 x 10^-8 N

Since the force of gravity and the force exerted by the spring must be equal in magnitude and opposite in direction at equilibrium, we can set them equal to each other:

F = Fg

k(0.8 m) = 8.27 x 10^-8 N

Solving for k:

k = (8.27 x 10^-8 N)/(0.8 m)

k = 25 N/m

Therefore, the spring constant of the spring is 25 N/m.

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about how many middle school students were surveyed for this graph?

about how many middle school students were surveyed for this graph?

Answers

around 162, hope this helps!

What will be the change of velocity of a 50kg object if a force of 2,000N
is applied to it for 0.010 seconds?

Answers

Answer:

0.4m/s

Explanation:

\(F = ma\) where F= force, m= mass, and a=acceleration

we also know that,

a = Δv / t where Δv = change in velocity and t = time

thus F = m ( Δv / t)

\(2000=50(\frac{v}{0.01})\)

\(\frac{2000}{5000} = v\)

0.4m/s = Δv

A cable car is being pulled up a mountain at 7.5 meters per second. Usually, the car takes 120 seconds to move all the way up the mountain. If its velocity stays constant, how much time will it take the cable car to move 39 meters?

Answers

Answer:

5.2 s

Explanation:

From the question given above, the following data were obtained:

Velocity = 7.5 m/s

Displacement = 39 m up

Time =?

The time taken for the cable cab to get to 39 m can be obtained as follow:

Velocity = Displacement / Time

7.5 = 39 / time

Cross multiply

7.5 × time = 39

Divide both side by 7.5

Time = 39 / 7.5

Time = 5.2 s

Thus, the time taken for the cable cab to get to 39 m up is 5.2 s

Question: In an average year, the Creek drainage basin (150 mi^2) receives 550 mm of precipitation. Has an average stream discharge of 1.8 m^3s^-1. (1 mile = 1.609 km).
Please develop the water budget equation for this problem.

Answers

The water budget equation for the Creek drainage basin is: Precipitation = Stream discharge + Evapotranspiration ± Change in storage.

To develop the water budget equation for this problem, we need to account for the inputs and outputs of water in the Creek drainage basin. The water budget equation can be expressed as,

P = Q + ET ± ΔS

P = Precipitation input (mm)

Q = Stream discharge (m³/s)

ET = Evapotranspiration (mm)

ΔS = Change in storage (mm)

First, let's convert the units of the given values,

Precipitation input (P) = 550 mm

Stream discharge (Q) = 1.8 m³/s

Now, let's determine the evapotranspiration (ET) and change in storage (ΔS) terms. However, the problem doesn't provide information about ET, so we cannot calculate it accurately. The problem doesn't provide information about ΔS, so we cannot calculate it accurately.

Given these limitations, we can write the simplified water budget equation for this problem,

550 mm = 1.8 m³/s + ET ± ΔS

Please note that without information about evapotranspiration and changes in storage, we cannot fully determine the water budget for the Creek drainage basin.

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For the following six questions, match the descriptions to the below people (A-J)
A) Eratosthenes B) Aristarchus C) Isaac Newton D) Aristotle E) Ptolemy F) Galileo G) Hipparchus H) Kepler I) Nicolaus Copernicus J) Tycho Brahe
23. Discovered the phases of Venus using a telescope.
24. First to consider ellipses as orbits.
25. Foremost ancient Greek philosopher.
26. Ancient Greek who believed in a sun-centered universe.
27. First to measure the size of the Earth to good accuracy.
28. Developed the first predictive model of the solar system.

Answers

The correct match of the descriptions to the below people are 23 - F, 24 - H, 25 - D, 26 - I, 27 - A, 28 - B.

23 - F Galileo: Galileo Galilei is credited with discovering the phases of Venus using a telescope. Through his observations, he observed that Venus went through a series of phases similar to those of the Moon, which supported the heliocentric model of the solar system.

24 - H Kepler: Johannes Kepler was the first to consider ellipses as orbits. He formulated the laws of planetary motion, known as Kepler's laws, which stated that planets move in elliptical paths with the Sun at one of the foci. Kepler's work revolutionized our understanding of celestial mechanics.

25 - D Aristotle: Aristotle, the ancient Greek philosopher, is considered one of the foremost thinkers in history. While his contributions span various fields, including philosophy and natural sciences, his views on astronomy were geocentric. He believed that the Earth was the center of the universe and that celestial bodies moved in perfect circles around it.

26 - I Nicolaus Copernicus: Nicolaus Copernicus was an astronomer who proposed the heliocentric model of the solar system, in which the Sun, rather than the Earth, was at the center. Copernicus's revolutionary idea challenged the prevailing geocentric view and laid the foundation for modern astronomy.

27 - A Eratosthenes: Eratosthenes was an ancient Greek mathematician and astronomer who made significant contributions to geography and astronomy. He is known for his accurate measurement of the Earth's circumference. By measuring the angle of the Sun's rays at two different locations, he estimated the Earth's circumference with remarkable accuracy.

28 - B Aristarchus: Aristarchus of Samos is credited with developing the first predictive model of the solar system. He proposed a heliocentric model centuries before Copernicus, suggesting that the Sun was at the center of the universe, with the Earth and other planets orbiting it. Aristarchus's model was a significant departure from the prevalent geocentric view of the time.

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Question 13
Hearing loss that lasts a few hours following exposure to excessive noise is referred to as:
a. sensorineural loss
b. temporary threshold shift
c. conductive loss
d. noise induced hearing loss

Answers

The correct answer is b. temporary threshold shift. This is a common occurrence after exposure to excessive noise, where the individual experiences a temporary hearing loss that typically lasts a few hours.

If this type of exposure to noise continues, it can eventually lead to permanent hearing loss, known as noise-induced hearing loss. TTS results in a decreased ability to hear soft sounds, as well as a decreased ability to understand speech. It is caused by the destruction of the stereocilia, or tiny hairs, in the inner ear that are responsible for detecting sound. These hairs are not replaced and become permanently damaged if exposed to excessive noise for too long. TTS can be prevented by avoiding loud noises, wearing ear protection, and limiting the duration of exposure to loud sounds.

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(Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of cooling/warming of an object is given by the linear first-order differential equation
dt
dT

=k(T−T
s

), where k is a constant of proportionality, T(t) is the temperature of the object at any time t≥0, and T
s

is the surrounding environmental temeperature, that is, the temperature of the medium around the object. (i). Assuming that T
s

is constant, find the temeperature of the object as a function of time if T(0)=T
0

. (ii). Then what is the temepretauer of the object after 5 minutes?

Answers

Newton's Law of Cooling is described by the first-order linear differential equation dt/dT = k(T - Ts), where T(t) is the temperature of the object at time t, Ts is the surrounding environmental temperature, and k is the constant of proportionality.

The temperature of an object, governed by Newton's Law of Cooling

(i) To find the temperature of the object as a function of time, we first solve the differential equation dt/dT = k(T - Ts). This is a separable differential equation, and the solution can be obtained by rearranging and integrating:

dt/dT = k(T - Ts)

dt = k(T - Ts) dT

∫ dt = ∫ k(T - Ts) dT

t = k * ∫ (T - Ts) dT

t = k * (T^2/2 - Ts*T) + C

Now, we apply the initial condition T(0) = T0. At t=0, the temperature of the object is T0:

T(0) = T0

k * (\(T0^2\)/2 - Ts*T0) + C = T0

C = T0 - k * (\(T0^2\)/2 - Ts*T0)

C = T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2

C = T0 - k * (\(T0^2\) - 2 * Ts * T0) / 2

So, the equation becomes:

t = k * (\(T^2\)/2 - Ts*T) + (T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2)

(ii) Now, we can find the temperature of the object after 5 minutes (t = 5 minutes). We'll use the initial condition T(0) = T0 and the formula obtained in part (i):

t = 5 minutes = 5/60 hours = 1/12 hours

T(t) = Ts + (T0 - Ts) * exp(-kt)

T(1/12) = Ts + (T0 - Ts) * exp(-k * (1/12))

This equation gives us the temperature of the object after 5 minutes, considering the given initial temperature T0 and the surrounding environmental temperature Ts.

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N A siren emits a sound of frequency 1. 44 × 103 Hz when it is stationary with respect to an observer. The siren is moving away from a person and toward a cliff at a speed of 15 m/s. Both the cliff and the observer are at rest. Assume the speed of sound in air is 343 m/s. What is the frequency of the sound that the person will hear a. Coming directly from the siren and b. Reflected from the cliff?

Answers

To calculate the frequency of the sound heard by the person, we need to consider the Doppler effect, which describes the change in frequency due to the relative motion between the source of the sound and the observer.

The formula for the observed frequency due to the Doppler effect is given by:

f_observed = f_source * (v_sound + v_observer) / (v_sound + v_source)

where:

f_observed is the observed frequency,

f_source is the source frequency,

v_sound is the speed of sound in air, and

v_observer and v_source are the velocities of the observer and the source, respectively.

Given:

Source frequency (f_source) = 1.44 × 10^3 Hz

Speed of sound in air (v_sound) = 343 m/s

Velocity of the siren (v_source) = 15 m/s

Velocity of the observer (v_observer) = 0 m/s (since the observer is at rest)

(a) Frequency of the sound directly from the siren:

For this scenario, the observer and the siren are moving away from each other. Substituting the given values into the Doppler effect formula:

f_observed = 1.44 × 10^3 * (343 + 0) / (343 + 15)

(b) Frequency of the sound reflected from the cliff:

In this case, the sound waves are reflected by the cliff, resulting in a change in direction. The relative motion between the observer and the reflected sound is the sum of their individual velocities. Thus, we consider the observer's velocity as -15 m/s (since it's moving towards the observer).

f_observed = 1.44 × 10^3 * (343 + 0) / (343 - 15)

By performing the calculations, we can determine the frequencies of the sound heard by the person directly from the siren and reflected from the cliff.

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A hockey player skates across a rink of length 75m in 8.9 seconds. What is the average speed of the hockey player? The hockey player is moving at a speed of 9.5 m/s. If it takes him 2 seconds to come to a stop under constant acceleration, how far does he travel while stopping?

Answers

The average velocity is given by

\(v=\frac{d}{t}\)

Where d is the distance covered and t is the time taken.

For the given case, we have

d = 75 m

t = 8.9 s

\(v=\frac{d}{t}=\frac{75}{8.9}=8.43\; \frac{m}{s}\)

Therefore, the average speed of the hockey player is 8.43 m/s

The hockey player is moving at a speed of 9.5 m/s.

a rocket blasts off. in 10.0 seconds it's at 10,000 ft, traveling at 3600 mph. assuming the direction is up, calculate the acceleration. (hint: the rocket is not under constant acceleration)

a) 5280 ft/s^2

b) 528 ft/s^2

c) 100 ft/s^2

d) 200. ft/s^2

Answers

If a rocket blasts off. in 10.0 seconds it's at 10,000 ft, traveling at 3600 mph. assuming the direction is up, the acceleration of the rocket is 528 ft/s². T

The correct answer is option (b)

How do we calculate?

a = Δv / Δt

a =  acceleration

Δv =  change in velocity

Δt =  change in time.

1 mile = 5280 feet

1 hour = 3600 seconds

3600 mph = 3600 * 5280 ft / 3600 s = 5280 ft/s

Therefore , a = Δv / Δt substituting these, we have:

a = Δv / Δt = (5280 ft/s - 0 ft/s) / 10.0 s

a= 528 ft/s²

In conclusion, the acceleration of the rocket is 528 ft/s²

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would you consider caffeine to be more or less toxic then arsenic explain

Answers

Caffeine is a widely recognized psychostimulant compound with a long history of consumption by humans. While it has received a significant amount of attention there is still much to be learned with respect to its toxicology in humans, especially in cases of overdose. A review of the history of consumption and the clinical toxicology of caffeine including clinical features, pharmacokinetics, toxicokinetics, a thorough examination of mechanism of action and management/treatment strategies are undertaken. While higher (i.e., several grams) quantities of caffeine are known to cause toxicity and potentially lethality, cases of mainly younger individuals who have experienced severe side effects and death despite consuming doses not otherwise known to cause such harm is troubling and deserves further study. An attempted case reconstruction is performed in an effort to shed light on this issue with a focus on the pharmacokinetics and pharmacodynamics of caffeine. Arsine gas is the most toxic form of arsenic. Inhalation of over 10 ppm is lethal and at concentrations higher than 25 ppm are reported to be lethal in less than an hour after exposure., while over 250ppm is reported to be instantaneously lethal.

If the platinum-based engine is run continuously at 300 k for 1 hour with 0.50 atm of h2 and 0.50 atm of o2 injected for each reaction, approximately what mass of water will be produced?

Answers

About 4.5 mol of water will be created when the platinum-based engine is run continuously at 300 K for an hour with 0.5 atm of H2 and 0.5 atm of O2 injected for each reaction.

For fuel cell engines' electrodes, platinum is a requirement. It acts as an electrocatalyst to speed up the electrochemical reactions needed to induce H2 to release electrons and form H2 ions when it is placed on porous electrodes.

Platinum is particularly well suited as a fuel cell catalyst because it makes it possible for the hydrogen and oxygen reactions to occur at an ideal rate and because it is stable enough to withstand both the intense electrical current density and the complex chemical environment found inside a fuel cell. This allows platinum to function effectively over an extended period of time.

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Can someone buy me
it will make my day

Answers

Answer:

how much?

Explanation:

What is it that your looking to buy?

We can roughly model a gymnastic tumbler as a uniform solid cylinder of mass 75 kg and diameter 1.0 m. If the tumbler rolls forward at .50 rev/s.A) how much total kinetic energy does he have? B) what percent of his total kinetic energy is rotational?

Answers

The gymnastic tumbler has a total kinetic energy of 0.9375 J, and 38.46% of that total kinetic energy is due to rotational motion.

What is kinetic energy?

Kinetic energy is the energy possessed by an object due to its motion. It is defined as the work required to accelerate an object of a certain mass from rest to its current velocity.

Given:

Mass of the tumbler (m) = 75 kg

Diameter of the tumbler (d) = 1.0 m

Angular velocity (ω) = 0.50 rev/s

The radius (r) of the tumbler is half of its diameter, so r = d/2 = 0.5 m.

Linear velocity (v) = ω * r

v = (0.50 rev/s) * (0.5 m)

v = 0.25 m/s

a) Total kinetic energy (K_total) of the tumbler consists of both translational and rotational kinetic energy. The translational kinetic energy (K_trans) can be calculated using the formula:

K_trans = (1/2) * m * v^2

K_trans = (1/2) * (75 kg) * (0.25 m/s)^2

K_trans = 0.9375 J

b) The rotational kinetic energy (K_rot) can be calculated using the formula:

K_rot = (1/2) * I * ω^2

I = (1/2) * m * r^2

I = (1/2) * (75 kg) * (0.5 m)^2

I = 4.6875 kg·m²

K_rot = (1/2) * (4.6875 kg·m²) * (0.50 rev/s)^2

K_rot = 0.5859 J

Percentage of rotational kinetic energy = (K_rot / K_total) * 100

Percentage of rotational kinetic energy = (0.5859 J / (0.9375 J + 0.5859 J)) * 100

Percentage of rotational kinetic energy ≈ 38.46%

Therefore, the gymnastic tumbler has a total kinetic energy of approximately 0.9375 J, and approximately 38.46% of that total kinetic energy is due to rotational motion.

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why no one is helping me!!!
please help me quickly will mean alotttt!!
THE VOLTAGE ACROSS THE GROUPING U=12 VOLTE
TAKE R1=39
AND R2=68
The question is
CALCULATE i1 and i2​

why no one is helping me!!!please help me quickly will mean alotttt!!THE VOLTAGE ACROSS THE GROUPING

Answers

Answer:

Hi

Explanation:

OK so

I2 = U/R2

or

I2 = 12 : 68

I1 = U /R1

I1= 12 : 39

Answer:

Relax 5-Min guide

Explanation:

if velocity of an electron in first orbit of h atom what will be the velocity of electron in third on the face

Answers

The velocity of an electron in the third orbit of a hydrogen atom would be:

v = (3 * \(e^2\))/(4πε₀ * h)


The velocity of an electron in the first orbit of a hydrogen atom can be calculated using the Bohr model. According to the Bohr model, the velocity of an electron in the first orbit is given by the equation:

v = (Z * \(e^2\))/(4πε₀ * h)

where v is the velocity, Z is the atomic number of the atom (which is 1 for hydrogen), e is the elementary charge, ε₀ is the permittivity of free space, and h is Planck's constant.

If we want to calculate the velocity of an electron in the third orbit of a hydrogen atom, we can use the same equation, but with a different value for Z. In this case, Z would be 3, since we are considering the third orbit.

Therefore, the velocity of an electron in the third orbit of a hydrogen atom would be:

v = (3 * \(e^2\))/(4πε₀ * h)

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Complete Question: What would be the velocity of an electron in the third orbit of a hydrogen atom, given the velocity of an electron in the first orbit?

A person travels from C to D. One third of the time travels at v1 = 42km/h, the rest of the time travels at v2 = 36km/h. Find his average speed as he travels from C to D.

Answers

Answer:39km/h

Explanation:we know V=(u+v)/2. Here is u=42 and v=36

While a dog runs forward, its
owner pulls back with a 22.4 N force at a 115º direction, doing
-42.3 J of work. How far did the
dog move?​

Answers

Answer:

d = 100.56 m

Explanation:

It is given that,

Force acting on the dog is 22.4 N

Angle at which the force is applied is 115 º

Work done is - 42.3 J

We need to find the distance covered by the dog. The work done by an object is given by :

\(W=Fd\cos\theta\)

d = distance covered by the dog

\(d=\dfrac{W}{\cos\theta}\\\\d=\dfrac{-42.5}{\cos(115)}\\\\d=100.56\ m\)

So, the dog moves a distance of 100.56 m.

Answer:

4.47 M.

Explanation:

I do Acellus and just got it correct!

a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters. what is the acceleration of the car?

Answers

Answer:

10.4 m/s²

Explanation:

use the formula:  V² = Vo² - 2aΔx

Plug in the known values then solve for a.  Vo = 0 because the car starts from rest.

(25 m/s)² = 0 + 2a(30m)

a = (625 m²/s²)/(2)(30m) = 10.4 m/s²

to ensure proper airspace protection while holding at 5,000 feet in a civil aircraft, what is the maximum indicated airspeed a pilot should use?

Answers

To ensure proper airspace protection while holding at5,000 feet in a civil aircraft, the maximum indicated airspeed a pilot should use is 200 knots.

What is meant by indicated airspeed in aviation?

Indicated airspeed means that the speed of an aircraft as shown on pitot static airspeed indicator is calibrated to reflect standard atmosphere adiabatic compressible flow at sea level uncorrected for airspeed system errors.

Indicated airspeed is the airspeed which is read directly from the airspeed indicator on an aircraft and driven by the pitot-static system. It uses difference between total pressure and static pressure, to mechanically or electronically measure dynamic pressure.

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What is the charge on the positive plate of the capacitor?

Answers

The charge on the positive plate of a capacitor depends on the voltage across the capacitor and the capacitance of the capacitor.

A capacitor is an electrical device used to store electrical energy in an electric field. It consists of two metal plates separated by a dielectric material, such as air or plastic. When a voltage is applied across the plates, a charge accumulates on each plate, creating an electric field between them. The capacitor is said to be charged.

The capacitance of a capacitor depends on the distance between the plates, the area of the plates, and the dielectric material between them. The unit of capacitance is the farad (F). Capacitors are commonly used in electronic circuits for various purposes, such as filtering, coupling, and timing. They can also be used as energy storage devices, for example, in camera flashes or defibrillators.

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The output voltage of a power supply is normally distributed with mean 110 V and standard
deviation 0.08 V. If the lower and upper specifications for voltage are 109.95 V and 110.05 V,
respectively, what is the probability that a power supply selected at random will conform to the
specifications on voltage?

Answers

According to the question the probability is approximately 0.4697, or 46.97%.

To find the probability that a power supply selected at random will conform to the voltage specifications, we can use the concept of standard deviation and the properties of a normal distribution.
Given:

Mean (μ) = 110 V

Standard deviation (σ) = 0.08 V

Lower specification (LS) = 109.95 V

Upper specification (US) = 110.05 V

We need to calculate the probability that the voltage is between LS and US.

To do this, we need to standardize the values using the Z-score formula:

Z = (X - μ) / σ

For the lower specification (LS):

Z_LS = (LS - μ) / σ

= (109.95 - 110) / 0.08

= -0.625

For the upper specification (US):

Z_US = (US - μ) / σ

= (110.05 - 110) / 0.08

= 0.625

Now, we can use a standard normal distribution table or calculator to find the probabilities associated with these Z-scores.

The probability that the power supply will conform to the voltage specifications is given by the area under the normal curve between Z_LS and Z_US.

P(LS < X < US) = P(Z_LS < Z < Z_US)

From the standard normal distribution table, the probability associated with Z = -0.625 is approximately 0.2659855, and the probability associated with Z = 0.625 is approximately 0.7356648.

Therefore, the probability that a power supply selected at random will conform to the specifications on voltage is:

P(LS < X < US) = P(-0.625 < Z < 0.625)

= 0.7356648 - 0.2659855

= 0.4696793

So, the probability is approximately 0.4697, or 46.97%.

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Please help me on this position-time graph assignment!!!

Please help me on this position-time graph assignment!!!

Answers

\(\text{Hello there! :)}\)

\(\text{The velocity is essentially the slope of the graph in a position vs. time graph, so:}\)

\(\text{Given: From 0 - 8 sec, velocity of 10 m/s.}\\\\\text{From 8 - 18 sec, velocity of -5 m/s. (In opposite direction because of the negative sign)}\\\\\\\text{From 18 - 22 sec, velocity of 0 m/s. (Object at rest)}\\\\\text{From 22 - 24 sec, velocity of 5 m/s.}\\\\\text{Graph the position vs. time graph using the velocities as the slope of the line }\)

Please help me on this position-time graph assignment!!!

Select the correct answer.
You are standing 1 meter away from a convex mirror in a carnival fun house. How would you look in the mirror?

A) standing upright but smaller than your actual height

B) standing upside down and smaller than your actual height

C) standing upright but taller than your actual height

D) standing upside down and the same height that you are

Answers

You are standing 1 meter away from a convex mirror in a carnival fun house. then standing upright but smaller than your actual height. Hence option A is correct.

In a convex mirror, the image is virtual and the reflection appears smaller than the real object. Convex mirrors provide a more compact, upright picture of the item by having an outwardly curving reflecting surface that causes light rays to diverge or spread out.

Convex mirrors are curved mirrors with reflecting surfaces that protrude in the direction of the light source. This protruding surface does not serve as a light focus; rather, it reflects light outward. As the focal point (F) and the centre of curvature (2F) are fictitious points in the mirror that cannot be reached, these mirrors create a virtual image. As a result, pictures are created that can only be seen in the mirror and cannot be projected onto a screen. When viewed from a distance, the image is smaller than the thing, but as it approaches the mirror, it becomes larger.

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Explain why when a firefighter rescues a dog that has fallen through ice on a
lake, they put their ladder on the ice first and then crawl out to the dog on the
ladder.

Answers

Answer:

This can spread their weight.

Explanation:

The ladder has a much larger surface area than the firefighter. Hence, his weight is spread out much more than usual, decreasing the pressure on the ice, preventing the ice from breaking/cracking.

Hope this helped!

The answer is: it can spread their weight

Answer all questions
1. You’re in a race and you pass the person in second place. What place are you in now?
2. A girl fell off a 20-foot ladder. She wasn’t hurt. How?
3. Mississippi has four S’s and four I’s. Can you spell that without using S or I?
4. I called my dog from the opposite side of the river. The dog crossed the river without getting wet, and without using a bridge, a boat, or a raft. How is that possible?
5. A girl throws a ball as hard as she can. It comes back to her, even though nothing and nobody touches it. How?
6. When is “L” greater than “XL”?
7. How can you physically stand behind your father while he is standing behind you?

Answers

Answer:

nope the dog jumped over the river

Explanation:

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