a wing generates a lift a when moving through ea level air with a velocity u. how fast must the wing move through the air at an altitude of 10,000 with the same lift coefficient if it is to generate the same lift

Answers

Answer 1

The wing must move through the air at an altitude of 10,000 feet with the same lift coefficient as V1, which is 1.721 times faster than V2, in order to produce the same lift.

What in aerodynamics is lift coefficient?

The difference in pressure between the air above and below a moving object's body as it moves through viscous air is quantified by the aerodynamic lift coefficient, or CL.

Beginning with the premise that both lift forces are equal, L₂ = L₁

One represents the level at 10,000 meters, and the other represents the level at sea level.

Next, we attempt to substitute both forces' general formulas so that

C(l).ρ₁/2.V₁².A = C(l).ρ₂/2.V₂².A

To further simplify things, here are

ρ₁.V₁² = ρ₂.V₂², making V₁ subject of formula,

V₁ = √(ρ₂/ρ₁). V₂²

Using the air density readings at sea level and 10,000 meters (source: US standard atmosphere), we have

V₁ = √(1.225/0.4135) × V₂

V₁ = √2.9625 × V₂

V₁ = 1.721 × V₂.

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Related Questions

duration, frequency, and intensity are increased in an exercise program during the ________ phase.

Answers

The duration, frequency, and intensity are increased in an exercise program during the progression phase.

A program's progression phase is a key time for developing strength, flexibility, and endurance. In order to keep the body challenged and encourage new adaptations, the duration, frequency, and intensity of the workouts are increased during this phase. People can prevent hitting a plateau and advance towards their fitness objectives by progressively increasing the demands placed on their bodies. To prevent injury or overtraining, it's crucial to approach this phase cautiously and to gradually and carefully increase these factors. An effective progression plan can assist people in achieving their fitness objectives, whether they are to increase their overall health and wellness, lose weight, or gain muscle.
In an exercise program, duration, frequency, and intensity are typically increased during the "progression" phase. This phase focuses on gradually increasing the workload to improve physical fitness and adapt to the exercise routine.

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discuss sexual dimorphism in a human skeleton

Answers

While the anatomy and physiology of human reproduction differ between the sexes, the effects of hormones on skeletal growth do not. Human bone growth depends on estrogen. Greater estrogen produced by ovaries causes bones in female bodies to fuse before males' resulting in sex differences in adult height and mass. Female pelves expand more than males' due to estrogen and relaxin produced and employed by the tissues of the pelvic region and potentially also due to greater internal space occupied by female gonads and genitals. Evolutionary explanations for skeletal sex differences (aka sexual dimorphism) that focus too narrowly on big competitive men and broad birthing women must account for the adaptive biology of skeletal growth and its dependence on the developmental physiology of reproduction. In this case, dichotomizing evolution into proximate‐ultimate categories may be impeding the progress of human evolutionary science, as well as enabling the popular misunderstanding and abuse of it.

Answer:

Sexual Dimorphism of the Human Skeleton. The human skeleton is not as sexually dimorphic as that of many other primate species, although human female skeletons tend to be smaller and less robust than human male skeletons within a given population. There are also subtle differences between males and females in the morphology of the skull, teeth, longs bones, and pelvis.

Explanation:

Worksheet 4.2
How Do People Destroy Natural Resources
Direction: Identify the effects of Some Human activities on natural Resources and suggest ways to reduce the effects.

Answers

Some of the ways that humans are destroying natural resources and the effect of human activities include:

DeforestationOil drillingFossil fuel burning

Some of the ways to reduce the effects of our activities are:

Drive lessEat less meatSupport sustainable businesses

How can we mitigate the negative impacts on the environment ?

Deforestation is the clearing of forests for human use. This can lead to soil erosion, water pollution, and the loss of biodiversity. Oil drilling is the process of extracting oil from the ground. This can pollute the air and water, and can damage the environment.

Driving less is one of the best ways to reduce our impact on the environment. We can walk, bike, or take public transportation whenever possible. Meat production is a major contributor to climate change. We can reduce our impact on the environment by eating less meat and more plant-based foods.

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A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time?

Answers

Speed= distance/ time so distance = speed * time= 28 * 20= 560m .. so the answer is 560m.. l hope it helped :)

0.000789kg/m3 divided by 2m3

Answers

Answer:

0.0003945 kg / m6

Explanation:

2 points
11) Which of the following statements properly relates the variables in the
equation Fdeltat = Deltap?*
A large constant force does not necessarily cause a change in an object's
momentum.
A large constant force acting over a long time interval causes a large change in
momentum.
O A large constant force changes an object's momentum at various time intervals.
A large constant force changes an object's momentum over a long time interval.

Answers

Answer:

A large constant force acting over a long time interval causes a large change in  momentum.

Explanation:

Assume air resistance is negligible and gravitational acceleration is 32.2 ft/s^2, a projectile is launched at 52 degrees above the horizontal with an initial velocity of 30 ft/s. The launch and landing sites are at the same elevation. What is the projectile's range?
A. 22.0 ft
B. 72.7 ft
C. 27.1 ft
D. 42.0 ft

Answers

Answer:

The range of the projectile can be calculated using the formula:

R = (v^2/g) * sin(2θ)

where v is the initial velocity, g is the gravitational acceleration, θ is the launch angle.

Substituting the given values:

R = (30^2/32.2) * sin(2*52)

R = 72.7 ft

Therefore, the answer is B. 72.7 ft.

A charge q = 8 μC is moving with a velocity v = [31 +43]x 106 m/s. If the charge enters a magnetic. field B=0.4k T, then the magnitude of the magnetic force (in N) on the charge is: F=qvx B (A) 4 F=9/15 9 [37+ ujjxk (16 (B) 8 (C) 12 (D) 16 (E) 20 Q7- A charge q = 8 μC is moving with a velocity v = [31 +43]x 106 m/s. If the charge enters a magnetic. field B=0.4k T, then the magnitude of the magnetic force (in N) on the charge is: F=qvx B (A) 4 F=9/15 9 [37+ ujjxk (16 (B) 8 (C) 12 (D) 16 (E) 20 an спо A particle with a charge of 5.0c travels at 2.0 m/s and encounters a magnetic field of 0.0100 T that makes an angle of 46.0 with respect to the x-axis in the xy-plane. Find the force the magnetic field exerts on the particle. FONTEINONA -0.069 N 0.072 N -0.072 N 0.069 N Q7: A positively charged particle q=2 µC enters a uniform magnetic field B= 21 +31 T with a velocity v=4x106 m/s. The magnetic force F(in N) on the particle is: a) -12 1-8 k b) 24 k c) -16 k d) -12 k e) 12î-16ĵ

Answers

The force the magnetic field exerts on the particle is 0.072 N with velocity

Charge q = 8 μC is moving with a velocity v = [31 +43] x 106 m/s. If the charge enters a magnetic field B=0.4k T, then the magnitude of the magnetic force (in N) on the charge is given by

F = q x v x B

Given thatq = 8 μC

                   = 8 x 10-6 C

Velocity v = [31 +43] x 106 m/s

                = [31,000,000 + 43,000,000] m/s

                = [74,000,000] m/s

Magnetic field B = 0.4k T

                           = 0.4 x 103 T

TeslaSubstituting these values in the above equation, we get

F = (8 x 10-6) x (74 x 106) x (0.4 x 103)

F = 2.95 N

Therefore, the magnitude of the magnetic force (in N) on the charge is 2.95 N.

Another problem:

Given that a particle with a charge of 5.0 C travels at 2.0 m/s and encounters a magnetic field of 0.0100 T that makes an angle of 46.0 with respect to the x-axis in the xy-plane. We need to find the force the magnetic field exerts on the particle.

The force F on the particle is given by:

F = q x v x B x sin(θ)Where q is the charge of the particle, v is the velocity of the particle, B is the magnetic field and θ is the angle between the velocity of the particle and the magnetic field.

F = 5.0 C x 2.0 m/s x 0.0100 T x sin(46.0)

F = 0.072 N

Therefore, the force the magnetic field exerts on the particle is 0.072 N.

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describe how electromagnetic radiation can ionise an atom. 2 marks

Answers

Answer:

Ionizing radiation is radiation with enough energy so that during an interaction with an atom, it can remove tightly bound electrons from the orbit of an atom, causing the atom to become charged or ionized. ... Forms of electromagnetic radiation.

(from google)

thank you :)

Ionizing radiation is radiation with enough energy that to remove tightly bound electrons from the orbit of an atom, causing that atom to become charged or ionized.

What is ionizing radiation?

The process in which an electron is given enough energy to break away from an atom is called ionization.

This process results in the formation of two charged particles or ions:

The molecule with a net positive chargeThe free electron with a negative charge.

Each ionization releases energy that is absorbed by material surrounding the ionized atom.

Ionizing radiation deposits a large amount of energy into a small area. In fact, the energy from one ionization is more than enough energy to disrupt the chemical bond between two carbon atoms.

There are three main kinds of ionizing radiation:

alpha particles, which include two protons and two neutrons

beta particles, which are essentially electrons

Therefore,

According to the definition of ionizing radiation,

Ionizing radiation can remove electrons from the atoms, i.e. It can ionize atoms.

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A concrete dam holds back a large reservoir of water
potential or kinetic energy

Answers

Answer:

The water in a reservoir behind a hydropower dam is another example of potential energy. The stored energy in the reservoir is converted into kinetic energy as the water flows down a large pipe called a penstock and spins a turbine.

Explanation:

Hope this helps :))

A concrete dam holds back a large reservoir of water potential energy, the stored potential energy is converted into the kinetic energy which is converted into mechanical energy and then further converted into electrical energy.

What is hydropower?

A dam or other construction that alters the natural flow of a river or other body of water is used to generate hydropower, often known as hydroelectric power.

In order to generate energy, hydropower uses the perpetual, never-ending water cycle, which uses water as a fuel and leaves no waste products behind. Although there are many different kinds of hydropower plants, they are always propelled by the kinetic energy of water moving downstream.

Thus, a concrete dam holds back a large reservoir of water potential energy.

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a human eyeball may be taken as a sphere that is 2 cm in diameter. assuming that it is filled with water, where would the image form for an object that is very far away? just consider the initial image formed by refraction through the front surface.

Answers

The initial image of a distant object formed by refraction through the front surface of the eye (cornea) would be focused on the retina, which is located at the back of the eye.

The retina is a thin layer of tissue located at the back of the eye that is responsible for converting light into neural signals that the brain can interpret as vision. It contains specialized cells called photoreceptors, which are sensitive to light and can detect different wavelengths of light. The two types of photoreceptors in the retina are called rods and cones, which are responsible for detecting black-and-white and color vision, respectively.

Once the photoreceptors in the retina detect light, they send signals through other cells in the retina before reaching the optic nerve, which carries the signals to the brain for processing. The retina also contains other important cells, such as bipolar cells and ganglion cells, which help to transmit and modulate the signals sent by the photoreceptors.

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A powerlifter lifts a 180 kg bar from the floor to above his head.gravitational field strength = 10 N/kg The powerlifter uses a constant force to lift the bar a distance of 2.1 m.

Answers

Answer:

Work done = force x distance moved

180 x 10 = 1800 N Explanation:

A powerlifter lifts a 180 kg bar from the floor to above his head gravitational field strength = 10 N/kg, the work done by the powerlifter in lifting the bar is 3780 Joules.

To calculate the work done by the powerlifter in lifting the bar:

Work = Force × Distance × cos(θ)

Here, it is given that:

Force = the constant force applied by the powerlifter

Distance = 2.1 m

θ = 0° (since the force is applied vertically upwards and the displacement is also vertical)

Now, we need to determine the force applied by the powerlifter. We know the weight of the bar, which can be calculated using the formula:

Weight = mass × gravitational field strength

So,

Weight = 180 kg × 10 N/kg = 1800 N

Since the powerlifter applies a constant force equal to the weight of the bar, the force is 1800 N.

Substituting the values into the work formula:

Work = 1800 N × 2.1 m × cos(0°)

Since cos(0°) is equal to 1, the equation simplifies to:

Work = 1800 N × 2.1 m × 1

Work = 3780 Joules

Thus, the work done by the powerlifter in lifting the bar is 3780 Joules.

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Your question seems incomplete, the probable complete question is:

A powerlifter lifts a 180 kg bar from the floor to above his head.gravitational field strength = 10 N/kg The powerlifter uses a constant force to lift the bar a distance of 2.1 m.

Calculate the work done.

20 points + Brainliest. Please help!

A piston consists of a closed cylinder with a moveable top. When a chemical reaction heats the gas inside the piston, the gas expands and lifts the top. For the thermodynamic system of the piston, are the values of heat Q and work W positive, zero, or negative?

A. Both Q and W are positive
B. Q is positive, W is negative
C. Both Q and W are negative
D. Q is positive, W is zero

Answers

C


huh jib go of kklykg Lyly y

What is the si unit for intensity? a. decibel b. melc. joule d. watt

Answers

The SI unit for intensity is the watt per square meter d) (W/m²).

Intensity is a measure of the power of a signal or sound per unit area. It is a measure of the amount of energy that is transported through a given area.

This energy can be in the form of electromagnetic waves, sound waves, or any other type of energy. The watt is the unit of power, and the square meter is the unit of area.

Therefore, the watt per square meter is the standard unit of intensity in the International System of Units (SI). It is used to measure the intensity of light, sound, and other forms of energy.

Other units such as decibel (dB), mel, and joule are not used as the unit of intensity. Instead, they are used to measure different aspects of sound and energy.

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besides u-235, another isotope that can undergo nuclear fission is

Answers

Besides U-235, another isotope that can undergo nuclear fission is Pu-239. U-235 and Pu-239 are the two isotopes that can sustain a chain reaction, which is necessary for nuclear power generation or nuclear weapons.

Nuclear fission is the process of splitting the nucleus of an atom into smaller fragments, releasing energy in the process.  The splitting of a uranium-235 or plutonium-239 nucleus releases a tremendous amount of energy. This energy is used to generate electricity in nuclear power plants and to propel nuclear submarines and aircraft carriers. Nuclear fission is also used in nuclear weapons, where the energy release is used to cause an explosion. Besides U-235 and Pu-239, other isotopes can undergo nuclear fission but are not suitable for nuclear power generation or weapons development because they either do not release enough energy or are too difficult to produce.

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An object is moving along a straight line. The graph shows the velocity of the object over time.
What is the instantaneous acceleration of the object at time = 6 seconds?

−0.5 m/s2

0.5 m/s2

2 m/s2

−1 m/s2

An object is moving along a straight line. The graph shows the velocity of the object over time.What

Answers

The instantaneous acceleration of the object at time = 6 seconds is 2 m/s²

What is instantaneous acceleration?

This is simply defined as the ratio of change in velocity during a given time interval.

On a velocity-time graph, the instantanous acceleration is equal to the slope.

How to determine the instantaneous acceleration

From the question given, the following data were obtained:

Change in time = 6 - 5.5 = 0.5 sChange in velocity = 2 -1 = 1 m/sInstantaneous acceleration =?

Instantaneous acceleration = slope

But,

Slope = Change in velocity / Change in time

Thus,

Instantaneous acceleration = Change in velocity / Change in time

Instantaneous acceleration = 1 / 0.5

Instantaneous acceleration = 2 m/s²

Thus, the instantaneous acceleration at time = 6 s is 2 m/s²

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A girl on a swing may increase the amplitude of the swing's oscillations if she moves her legs at the natural frequency of the swing. This is an example of: ________

Answers

A girl on a swing may increase the amplitude of the swing's oscillations if she moves her legs at the natural frequency of the swing. This is an example of: This phenomenon is an example of resonance.

Resonance occurs when an external force is applied to a system at its natural frequency, resulting in a significant increase in the system's amplitude. In the case of the girl on a swing, the natural frequency of the swing is determined by its length and the force of gravity. When the girl moves her legs at the natural frequency of the swing, she applies periodic impulses to the swing, synchronizing her motion with the natural oscillations of the swing. As a result, the amplitude of the swing's oscillations increases. This happens because the energy transferred to the swing with each leg movement is added constructively to the existing oscillations, leading to a cumulative effect. Resonance can be observed in various systems, from musical instruments to bridges, and it is often desirable in specific applications. Understanding the concept of resonance allows us to manipulate and control systems by applying forces at their natural frequencies to achieve desired outcomes.

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teacher holds a book in her hand. She slowly tilts her hand forward but the book does not slide off her hand. Why?

Answers

The reason why the book does not slide off the teacher's hand when she tilts her hand forward is because of the force of friction between the surfaces of the book and the teacher's hand.

How does force of friction prevent the motion of the book?

Friction is a force that resists the motion between two surfaces that are in contact. When the book is resting on the teacher's hand, the surfaces of the book and the hand are in contact with each other. When the teacher tilts her hand forward, the force of gravity tries to pull the book downward, but the force of friction between the book and the hand acts in the opposite direction, preventing the book from sliding off the hand.

The amount of friction between two surfaces depends on a few factors, such as the type of materials in contact, the roughness of the surfaces, and the force pressing the surfaces together. The force of friction increases as the force pressing the surfaces together increases. In this case, the weight of the book pressing down on the teacher's hand increases as the hand tilts forward, which increases the force of friction between the book and the hand, keeping the book in place.

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Question 4 of 10
You add 100 mL of water at 20°C to 200 mL of water at 80°C. What is the
most likely final temperature of the mixture?
A. 50°C
OB. 60°C
C. 100°C
OD. 30°C
(asons

Answers

Heat received by cold water equals heat lost by hot water. 60°C is the ultimate temperature.

What does the term temperature mean?

An evaluation of an object or substance's warmth or coolness in relation to a reference value.

a measurement of how much heat is required to raise the temperature of a material by one degree Celsius for every gramme.

The unit of measurement for specific heat is Joules per gramme per degree Celsius (J/g °C).

Let c represent the water's specific heat.

based on the calorimetry concept.

Heat received by cold water equals heat lost by hot water.

200 * c * (80 - T) = 100 * c * (T - 20) (T - 20)

∴ 200c (80-T) = 100c(T-20) (T-20)

∴2 (80-T) = T - 20

∴160-2T=T-20

∴ 160+20 = T +2T

∴180 = 3T

∴T = 60 C.

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Muscular Strength exercises focus on high______and low___

A) Intervals, Rest

B)Repetitions, Weight

C)Strength, Power

D) Weight, Repetitions

Answers

The Answer Is D, Weight, Repetitions

The muscular strength exercises focus on high weight and low repetitions. Hence, option D is correct.

What is Muscular strength?

Two crucial components of your body's capacity to move, lift objects, and perform daily activities are muscular strength and endurance. The force you can exert or the weight you can lift is a measure of your muscular strength. How many times you can lift that weight before becoming exhausted is a measure of muscular endurance (very tired).

There are many benefits of Muscular strength, few of them are :

Increase the endurance with which you can carry out tasks like opening doors, lifting boxes, or chopping wood.Gain self-assurance and feel better about yourself.Permit you to diversify and add new exercises to your routine.Lessen the chance of damage.

Hence, muscular strength exercises focus on high weight and low repetitions.

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URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (30pts)

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions

Answers

Answer:

5

Explanation:

From the attachement,

M.A =  Load(L)/Effort(E)

M.A = L/E...................... Equation 1

Where M.A = .Mechanical Advantage, L = Load, E = Effort.

Given: L = 500 N, E = 100 N

Substitute these values into equation 1

M.A = 500/100

M.A = 5.

Hence the actual mechanical advantage of the pulley is 5

The factors that affect gravitational pull on an object are __________________________ and __________________________

Answers

And the...
Explanation

Answer:

I am not sure about this question sry but u can try asking a tutor u don't need to use any points

a ten-loop coil having an area of 0.23 m2 and a very large resistance is in a 0.047-t uniform magnetic field oriented so that the maximum flux goes through the coil. the coil is then rotated, so the flux goes to zero in 0.34 s. what is the magnitude of the emf induced in the coil during the 0.34 s?

Answers

The magnitude of electromotive force is 0.32 volts.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

B = 0.047 T

dt = 0.34 s

N = 10

A = 0.23 m²

Find the change in magnetic flux

dΦ = (B . A)

dΦ = ( 0.047 . 0.23 )

dΦ = 0.01081 Tm²

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 10 . 0.01081 / 0.34

ε = 0.32 volt

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Which observation supports a model of the nature of light in which light acts as a wave?
A. Blackbody radiation
B. Photoelectric effect
C. Constructive interference
D. Temperature change​

Answers

Answer:

A) Blackbody radiation

Explanation:

i just took the test and this was my answer

Answer:

constructive interference

Explanation:

just did it

6. Assume that a photon (m=0) and a particle have the same wavelength. Compare the linear momenta of the two particles.

Answers

When a photon and a particle have the same wavelength, their linear momenta can be compared. The momentum of a photon is given by p = h/λ, where h is Planck's constant and λ is the wavelength.

In quantum mechanics, the momentum of a photon is given by the equation p = h/λ, where p is the linear momentum, h is Planck's constant (approximately 6.626 x \(10^{-34\)J·s), and λ is the wavelength of the photon. This equation relates the momentum of a photon to its wavelength, indicating that the momentum is inversely proportional to the wavelength. As the wavelength of the photon increases, its momentum decreases.

For a particle with mass m and velocity v, the linear momentum is given by p = mv. In this case, the momentum depends on both the mass and velocity of the particle. If the particle has the same wavelength as the photon, their momenta can be compared. However, since the particle has mass, its momentum will be nonzero even at the same wavelength as the photon.

Therefore, when comparing the linear momenta of a photon and a particle with the same wavelength, the momentum of the photon will depend solely on its wavelength, while the momentum of the particle will depend on its mass and velocity. The particle's momentum will not be zero even when its wavelength matches that of the photon.


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From the top of a tower a ball is projected horizontally with a velocity u. If the magnitudes of the horizontal and vertical displacements of the ball are to be equal during the motion of the ball, what should be the minimum height of the tower (g is acceleration due to gravity)

Answers

Answer: h = u^2 / 2g

Explanation:

Given the following :

Horizontal Velocity of projection= u

If :

magnitude of horizontal = magnitude of vertical Displacement

u = u

Minimum height of tower (h) =?

Horizontal Velocity = u

Gravity potential energy = mgh - - - (1)

Kinetic energy = 1/2 mu^2 - - - (2)

m = mass

Where u = magnitude of velocity

g = acceleration due to gravity

h = height

Equating (1) and (2)

mgh = 1/2 mu^2

gh = 1/2 mu^2

2gh = u^2

u = √2gh

Vertical component of Velocity 'v' will be:

u = √2gh

u = √2 × g × h

Square both sides

u^2 = 2 × g × h

h = u^2 / 2g

A car, traveling at 20 meters per second, slams on its brakes to avoid an accident. The car stops after traveling 40 meters. What was the magnitude and direction of the car’s acceleration?

Answers

Answer:

Step-by-step explanation:

Given information

u=initial velocity=20m/s

s=distance travelled=40m

v=final velocity=0m/s (the car stopped after traveling 40 m)

To find  a = acceleration of the car

            and its direction

We know that the equation for uniform motion is

v^2=u^2+2as

therefore by rearranging we get

a= \((v^2 - u^2)/ 2s\)

putting the values we get

a= (0 - \(20^{2}\) )/ \(/ 2*40\)

a= -400/80

a=-5 \(m/s^2\)

here negative sign before 5 indicates that the acceleration direction was opposite the car's motion, hence stopping it eventually.

And the magnitude of the acceleration is 5\(m/s^2\)

Part A
If the angle α between the mirrors is 72 ∘ and the angle of incidence, θi1of a light ray incident on M1 is 39 ∘, what is the angle of reflection, θr2, from M2?
Express your answer as an integer
Part B
If a2 = 105 ∘ and θi1 = 58 ∘, what is θr2?
Express your answer as an integer.

Answers

The angle of reflection θr2 from M2 is equal to the angle of incidence θi2: θr2 = θi2 = 69° (as an integer). We find θr2 from M2 using the law of reflection as: θr2 = θi2 = 17° (as an integer)

To find the angle of reflection θr2 from M2, we first need to find the angle of reflection θr1 from M1. Since the angle of incidence θi1 is 39°, and the law of reflection states that the angle of incidence equals the angle of reflection, we have:

θr1 = θi1 = 39°

Next, we need to find the angle between the light ray reflected from M1 and M2. Since the angle α between the mirrors is 72°, we can use the property of supplementary angles:

72° + angle between reflected ray and M2 = 180°
angle between reflected ray and M2 = 180° - 72° = 108°

Now we can find the angle of incidence θi2 on M2. Since the angles between the reflected ray and M2 and the angle of reflection θr1 are adjacent, we can subtract the angle between the reflected ray and M2 from θr1 to get θi2:

θi2 = 108° - 39° = 69°

Finally, using the law of reflection, the angle of reflection θr2 from M2 is equal to the angle of incidence θi2:

θr2 = θi2 = 69° (as an integer)

In this part, we are given a2 = 105° and θi1 = 58°. First, we find θr1:

θr1 = θi1 = 58°

Next, we find the angle between the reflected ray from M1 and M2:

105° + angle between reflected ray and M2 = 180°
angle between reflected ray and M2 = 180° - 105° = 75°

Now, we find θi2 on M2:

θi2 = 75° - 58° = 17°

Finally, we find θr2 from M2 using the law of reflection:

θr2 = θi2 = 17° (as an integer)

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Which of the following statements about the life of a star with a mass like the Sun is correct? a. the core of this star will be too massive to form a white dwarf b. before the star dies, it will fuse dozens of elements in its core c. as the star is dying, a considerable part of its mass will be lost into space
d. after the main sequence stage, there is no further fusion of hydrogen anywhere in the star e. at the end of its life, the star will explode as a supernova

Answers

The correct statement about the life of a star with a mass like the Sun is that, as the star is dying, a considerable part of its mass will be lost into space. This is option c.

Stars, including the sun, are born, evolve, and eventually die. Their lifespan and evolution depend on their mass. The mass of the star determines the energy produced by nuclear fusion in the core of the star. A star's mass determines how long it will live, what type of death it will experience, and what its remnants will be after death.Stars with a mass like the Sun will live longer than more massive stars, which will run out of fuel more quickly. These stars go through several phases of evolution. After the main sequence stage, hydrogen fusion continues in a shell around the helium core in these stars.

During this time, the star becomes redder and larger, eventually becoming a red giant. At this stage, fusion in the core can start helium fusion, causing the star to contract and heat up. Helium fusion only lasts for a short time, so the star expands and cools again. Eventually, the outer layers of the star are ejected into space, forming a planetary nebula.

The remaining core of the star collapses into a white dwarf, which will eventually cool down and become a black dwarf. The core of the star will not be too massive to form a white dwarf as given in option a. Before the star dies, it will fuse dozens of elements in its core is not true because the star does not have enough mass to create elements beyond iron.

After the main sequence stage, fusion of hydrogen continues in the shell around the helium core. So, option d is also incorrect. The star does not have enough mass to create a supernova. Therefore, option e is incorrect.

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A piston-cylinder device initially contains a mixture of saturated water and saturated steam at 200kPa. The total mass is 0.5 kg and the volume is 0.3 m

3. Now the fluid is heated up under the same pressure, until the volume doubles. Find (a) the initial temperature (b) the final temperature (c) the total internal energy change of the fluid during this process. (d) Also sketch the process on the P-v and I-v diagrams. including the initial state, the final state, and the path.

Answers

(a) The initial temperature is 373.95 K.

(b) The final temperature is 546.15 K.

(c) The total internal energy change of the fluid during this process is 515.4 kJ.

(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.

(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.

(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.

(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.

(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.

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