A 4. 00 kg object slides down a frictionless inclined plane with an acceleration of 3. 00 m/s2. What is the angle of the incline above horizontal?.

Answers

Answer 1

The angle of incline is 17.2 degrees above horizontal.

The acceleration of an object down a slope is directly proportional to the sine of the angle of inclination of the plane.

This means that the acceleration is constant for a given slope angle.

Therefore, we will be able to determine the angle of inclination by dividing the given acceleration by the gravitational acceleration.  

The gravitational acceleration is 9.8 m/s^2.We will use the formula for the angle of inclination of a slope given by;θ=arcsin(a/g)where;a = accelerationg = gravitational accelerationθ = angle of inclination

Thus, we substitute the values we have;a = 3.00 m/s²g = 9.8 m/s²

Now,θ=arcsin(3.00/9.8)θ= 17.2 degrees (rounded to 3 significant figures)

Therefore, the angle of the incline above horizontal is 17.2 degrees.

Summary The angle of inclination of the plane is 17.2 degrees above horizontal.

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Related Questions


What is the primary reason that El Pitar has become a successful community?

Answers

In general, communities can become successful for a variety of reasons, such as having a strong economy, a sense of community spirit and cooperation, access to education and resources, effective leadership, and a high quality of life.

What is the successful community?

The success of a community can depend on a wide range of factors, such as its location, economic resources, infrastructure, social and cultural norms, and the involvement and cooperation of its residents. For example, a community that has a thriving local economy with plenty of job opportunities and access to resources such as education and healthcare may be more successful than a community that lacks these resources.

However, It is also possible that a combination of these factors and others have contributed to the success of the community in question. Without more specific information, it is difficult to determine the primary reason why El Pitar has become a successful community.

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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?

Answers

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure

Online.Vs. In person


Which one would you choose

Answers

Answer:

Online.Vs. In person for what exams board ones?

The resistance of large bodies of water to changes in temperature with the input of energy (typically radiant solar energy) is a result of water's ______.

Answers

The resistance of large bodies of water to changes in temperature with the input of energy (typically radiant solar energy) is a result of water's high specific heat capacity.

Water has a high specific heat capacity, which means it can absorb a significant amount of heat energy without experiencing a large change in temperature. This property is due to the extensive hydrogen bonding between water molecules. When energy is added to water, such as radiant solar energy, it is primarily used to break these hydrogen bonds rather than significantly raising the temperature of the water.

The high specific heat capacity of water is advantageous for regulating Earth's temperature. Large bodies of water, such as oceans and lakes, act as heat sinks, absorbing and storing large amounts of energy from the Sun during the day. This energy is gradually released at night, helping to moderate the surrounding temperature and creating a more stable climate.

In summary, the high specific heat capacity of water enables it to resist changes in temperature, making it an effective heat regulator in large bodies of water and contributing to the Earth's climate stability.

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Why is light wave not considered a mechanical wav?

A.A light wave is visible to humans.

B.A light wave moves faster than most waves.

C.A light wave does not have a wavelength.

D.A light wave travels through the vacuum of space.

Answers

D. A light wave travels through the vacuum of space.

Explanation:
Mechanical waves require a medium to propagate, meaning they must have something to travel through. Examples of media for mechanical waves include solids, liquids, and gases. Light waves, on the other hand, are electromagnetic waves that can travel through a vacuum, meaning they do not require a medium to propagate. This is why light waves are not considered mechanical waves.

snell's law depends on the refractive indexes of the materials as well as on the _____ of the angles of the light rays.

Answers

Snell's law depends not only on the refractive indexes of the materials but also on the "angle of incidence" and "angle of refraction" of the light rays.

Snell's law describes the relationship between the angles of incidence and refraction when light passes through the interface between two different materials. It states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indexes of the two materials.

Mathematically, Snell's law is expressed as:

n₁ * sin(θ₁) = n₂ * sin(θ₂),

where n₁ and n₂ are the refractive indexes of the first and second materials, respectively, and θ₁ and θ₂ are the angles of incidence and refraction, respectively.

Therefore, the accurate determination of the angles of incidence and refraction is crucial for applying Snell's law to analyze the behavior of light as it passes through different media.

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A girl rides her cycle round a circular track of diameter 60 m. The track is banked at 15 ∘
to the horizontal. The coefficient of friction between the track and the tyres of the cycle is 0.25. Modelling the girl and her cycle as a particle of mass 60 kg moving in a horizontal circle, find the minimum speed at which she can travel without slipping.

Answers

A girl rides her cycle round a circular track of diameter 60 m. The track is banked at 15° to the horizontal. The coefficient of friction between the track and the tyres of the cycle is 0.25. Modelling the girl and her cycle as a particle of mass 60 kg moving in a horizontal circle, the minimum speed at which she can travel without slipping is 13.64 m/s.

To find the minimum speed at which the girl can travel without slipping, we need to consider the forces acting on her and her cycle as they move in a circular track.

The forces acting on the girl and her cycle are the gravitational force (mg), the normal force (N), and the frictional force (f). The frictional force provides the centripetal force necessary to keep the girl moving in a circular path.

The normal force can be resolved into two components: the vertical component (N⊥) and the horizontal component (N∥). The vertical component balances the gravitational force, while the horizontal component provides the centripetal force.

Mass of the girl and cycle (m) = 60 kg

Diameter of the circular track (d) = 60 m

Bank angle (θ) = 15 degrees

Coefficient of friction (μ) = 0.25

Find the normal force components:

N⊥ = mg cos(θ)

N∥ = mg sin(θ)

The frictional force:

f = μN⊥

The frictional force (f) provides the centripetal force required for circular motion:

f = m(v² / r)

Here, v is the velocity and r is the radius of the circular track. The radius is:

r = d / 2

Combining the equations, we have:

μN⊥ = m(v² / r)

Substituting the values we have:

μmg cos(θ) = m(v² / (d / 2))

v² = (μmg cos(θ) / m) * (d / 2)

v² = (μg cos(θ)) * (d / 2)

v = √((μg cos(θ)) * (d / 2))

v = √((0.25 * 9.8 * cos(15)) * (60 / 2))

v ≈ 13.64 m/s

Therefore, the minimum speed at which the girl can travel without slipping is approximately 13.64 m/s.

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the cedula personal was optional during the spanish period

Answers

The cédula personal was optional during the Spanish period.

The cédula personal was a document used during the Spanish colonial period in the Philippines to keep track of the population and to collect taxes. It was a personal identification document that contained the holder's name, occupation, and tax status.

However, the requirement for a cédula personal was not strictly enforced during the Spanish period. While the Spanish government encouraged people to obtain one, it was not a mandatory requirement, and many people lived and worked without one.

This lack of strict enforcement was due to a number of factors, including limited resources for collecting taxes, the large size of the Philippines, and the limited number of government officials available to enforce the regulations.

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Complete Question:

Is the cedula personal was optional during the spanish period?

4 major functions of the skeletal system

Answers

The functions of the skeletal system are support, movement, production of cells and protection.

The bones, muscles, ligaments, and tendons make up a skeletal system in the human body. It serves as body's support system to enable correct movement and bodily function. The skeleton gives the entire body structural support, allowing us to sit, stand, and move freely. In addition, fragile organs the brain, heart, and lungs are safeguarded by the bones of the skull, ribs, and spinal column.

Additionally, the skeletal system makes blood cells and stores minerals. The production of these cells, and platelets all essential for immune system and blood clotting take place in the bone marrow, which is found inside numerous bones. In addition, our ability to move and engage in activities like running, jumping, and dancing is made possible by our bones working in tandem with our muscles and joints.

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Which statement is true about destructive interference of light?
A. It is the same as constructive interference.
B. It results in a brighter beam of light. C. It provides evidence of light acting as a wave.
D. It provides evidence of light acting as particles.​

Answers

Answer:

C. It provides evidence of light acting as a wave.

Explanation:

Took test

Destructive interference occurs when the amplitude of the displacements when the crest of one wave meets the trough of another wave is equal to the difference in the separate magnitudes, hence option C is correct.

What is the interference of light?

Any position along the medium where the two conflicting waves have a displacement in the opposite direction will experience destructive interference.

When the phase difference between the waves is an even multiple of (180°), constructive interference happens. Example: When two speakers are placed side by side and their distance from the viewer is the same, we can experience constructive interference.

Therefore, destructive interference of light provides evidence of light acting as a wave, hence option C is correct.

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The rate at which the temperature increases with depth is called the geothermal gradient. What is the geothermal gradient in a tectonically stable region where the temperature is 119° C at a depth of 5.0 km?
(Assume a surface rock temperature of 14° C.)

Answers

The geothermal gradient in the tectonically stable region is approximately 21°C/km, indicating that the temperature increases by an average of 21 degrees Celsius per kilometer of depth.

To calculate the geothermal gradient, we need to find the rate at which the temperature increases with depth.

Temperature at the surface (T₁) = 14°C

Temperature at a depth of 5.0 km (T₂) = 119°C

Temperature difference = T₂ - T₁ = 119°C - 14°C = 105°C

Depth difference = 5.0 km - 0 km = 5.0 km

Geothermal gradient = Temperature difference / Depth difference

Geothermal gradient = 105°C / 5.0 km

Calculating this expression, we find:

Geothermal gradient ≈ 21°C/km

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A bookshelf is 2 m long, with supports at its ends (P and Q).
a)A book weighing 10 N is placed in the middle of the shelf. What are the upward forces at P and Q?
b)The book is moved so that it is 50 cm from Q. Use moments to calculate P the forces at P and Q.
c)The bookshelf weighs 10 N. Repeat parts b and taking into account
weight of the shelf as well as the weight of the book.

Answers

Answer:

a) P + Q = 2 P = 10 N    P = Q = 5 N      each exerts the same force

b)  P x1 = Q x2      if x1 and x2 are not equal (torque about pivot point)

50 Q = 150 P  or Q = 3 P      balancing torques

Since P + Q = 10       Q = 7.5 N and P = 2.5 N

c) take torques about P

100 * 10 + 100 * 10 = 200 * Q    

Q = 10 N        P + Q = 20 N upward and the force on the fulcrum in the middle is 10 + 10 = 20 N down (10 N for shelf and 10 N for book)      

 

why does the earth get more energy from the sun than from all the other stars in the universe combined

Answers

Answer:

Explanation:

The sun is much closer than the other stars

What used to indicate the beginning of the solar system formation?

Answers

The beginning of solar system development is most likely indicated by the big bang theory. An explanation for how the universe grew from a high density starting state is provided by the Big Bang theory.

And temperature. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang theory. The Sun and the things that circle it make up the solar system, which is gravitationally bound. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. 99.86% of the system's mass is in the Sun, with the planet holding the majority of the remaining mass.

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The nebular hypothesis is the most widely recognized cosmogony theory to explain how the Solar System started and evolved (as well as other planetary systems). It implies that gas and dust orbiting the Sun are what created the Solar System.

What has science discovered to be the strongest proof of the solar system's age?

Over 70 different types of meteorites have undergone radiometric dating to ascertain their ages. The findings suggest that between 4.53 and 4.58 billion years ago, the Solar System and meteorites both began to develop.

What are the 4 phases of the development of the solar system?

Scientists believe that the formation of terrestrial planets like Earth several billion years ago resulted from the coalescence of hot blobs of molten rock and metal from dust and gas. Before they developed into separate planets, they went through four stages of development: differentiation, cratering, flooding, and surface evolution.

What is the name of the solar system's nucleus?

The solar nebula

4.6 billion years ago, the solar nebula, a cloud of gas and dust, gave rise to the Sun and the planets.

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A block of solid copper sits on a flat, level table. Copper has a density of 8. 94 ✕ 103 kg/m3. The mass of the block is 20. 4 kg

Answers

For a block of solid copper sits on a flat, level table. Copper has a density of 8. 94 ✕ 103 kg/m3, the volume of the block  is mathematically given as

V = 2.28x10^3

What is the volume of the block (in m3)?

Generally, the equation for the volume of the block is mathematically given as

V = m/p

V = 20.4/8.94x10^3

V = 0.00228

V = 2.28x10^3

In conclusion, the volume of the block is

V = 2.28x10^3

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which of the following correctly describe the two components of maxwell's electromagnetic wave

Answers

Electromagnetic waves are a form of radiation that occurs when electric fields and magnetic fields are coupled with each other. Thus, option C is correct.

An electromagnetic field is formed with an electric field and a magnetic field that are dependent on each other. The two fields are perpendicular to each other and travel in that direction as well.

Electromagnetic waves are not elastic waves either and can travel in a vacuum. They are different from mechanical waves as electromagnetic waves can travel in the absence of a medium. They travel at the speed of 3x\(10^{8}\)m/s. Thus, only option C is right.

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Complete question:-

Which of the following are the characteristics of electromagnetic waves?

1. They are elastic waves.

2. They can also move in a vacuum.

3, They have electric and magnetic components which are mutually perpendicular.

4, They move with a speed equal to 3 lakh meters per second.

Select the correct answer using the code given below :

A) 1, 2, 3 and 4

B) 1, 2, and 4

C) 2 and 3 only

D) 3 and 4 only

calculate the effective value of g , the acceleration of gravity, at 6100 m above the earth's surface.

Answers

7.79395 m/s² is  the effective value of g . When the acceleration of gravity, at 6100 m above the earth's surface.

What does the gravitational acceleration at 6.4 * 10 6 m altitude equal?

At the surface of the Earth, gravity's acceleration is 9.8 ms2. Near (Radius of earth =6.4106 m), the acceleration caused by gravity drops to 4.9 ms2 above its surface. Fear not!

m = Mass of the Earth =  5.972 × 10²⁴ kg

G = gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

r = Radius of Earth = 6371000 km

a) at h = 6100 m

g = Gm/r^2

g= 6.67 × 10⁻¹¹ m³/kgs²* 5.972 × 10²⁴ kg / ( 6371000+6100)

g = 7.79395 m/s²

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Rooms are fitted with ventilators to let the air move around. The phenomenon involved is:
a. conduction
b. Convection
c. radiation
d. condensation

Answers

Answer:

B. Convection

Explanation:

Convection is the process in which heat is transferred from one point to another by the actual movement of the material particles from a region of high temperature to a region of low temperature.

Answer is convection

ii) One of the containers is wide and shallow. The other container is narrow and deep
Predict which container has the greater rate of cooling. Explain your answer.

Answers

The container both white and shallow will call faster because of surface temperatures

A force of 10 n stretches a particular spring by 2 cm. How far would a 20 n force stretch that same spring?.

Answers

For the same spring, the value of spring constant must be same. The relation between the force and the spring constant is given by Hooke's law

so,  20 N force stretch 4 cm.

What is the Hooke's law ?Hooke's law is a law of elasticity discovered by the English scientist Robert Hooke in 1660 that states that the displacement or size of a deformation is directly proportional to the deforming force or load for relatively small deformations of an object.It is the fundamental principle underlying the manometer, spring scale, and clock balance wheel. Hooke's law is the underlying principle of seismology, acoustics, and molecular mechanics.Hooke's spring law usually applies to any elastic object of any complexity, as long as the deformation and stress can be expressed by a single number that can be both positive and negative.

For the same spring, the value of spring constant must be same. The relation between the force and the spring constant is given by Hooke's law as :

F=kx

where

F = Force

k = is spring

constant  

x = stretches

here

10/ 2 = 20/ x

x -= 4 cm .

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Explain two negative effects of friction

Answers

disadvantages

Explanation:

releases heat when not required

opposes motion

Advantages- you have friction
Disadvantages- at one point it will end and you will not longe have friction

91 kg and 21 kg push against each other, which one has bigger force

Answers

Predict/Calculate An kg parent and a 24 -kg child meet at the center of an ice rink. They place their hands together and push. (a) Is the force experienced by the child greater than, less than, or the same as the force experienced by the parent? (b) Is the acceleration of the child greater than, less than, or the same as the acceleration of the parent? Explain.(c) If the acceleration of the child is 3.3

A particle moves along a straight line, if velocity of the particle v = 2t2, then the acceleration versus time graph will be


Parabola


Circle


Straight line


Rectangular hyperbola

Answers

If a particle moves along a straight line, if the velocity of the particle v = 2t², then the acceleration versus time graph will be a straight line, therefore the correct answer is option C,

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As we know the rate of change of velocity is known as acceleration

acceleration =change in velocity/change in time

As given in the problem If a particle moves along a straight line, if the velocity of the particle v = 2t²,

acceleration = dv/dt

                     =d ( 2t²)/dt

                     =4t

Thus, the acceleration versus time graph would be a straight line.

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A horse gallops at the rate of 42 miles per hour. At this rate, what is closest to the number of meters that the horse would travel in a second?

A. 14 meters
B. 18 meters
C. 21 meters
D. 25 meters

Answers

The closest to the number of meters that the horse would travel in a second option D, 25 meters .

To find the distance that a horse travels in one second while galloping at a speed of 42 miles per hour, we need to convert miles per hour to meters per second.

We can start by using the conversion factor of 1 mile = 1609.34 meters and 1 hour = 3600 seconds.

42 miles/hour = (42 x 1609.34) meters / (3600 seconds) = 18.8976 meters/second

Therefore, the horse would travel approximately 18.9 meters in one second at a speed of 42 miles per hour.

To verify this answer, we can also use the formula:

distance = speed x time

We know that the speed of the horse is 42 miles per hour. To convert this to meters per second, we need to divide by 2.237. This gives us:

speed = 42 miles/hour ÷ 2.237 = 18.8 meters/second (rounded to one decimal place)

If we assume that the horse is traveling for exactly one second, we can plug in the values to find the distance:

distance = speed x time = 18.8 meters/second x 1 second = 18.8 meters

Therefore, we can conclude that the answer is closest to option D, 25 meters

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A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 7 in. beyond its natural length? W X ft-lb

Answers

The work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

We are given a spring which is stretched beyond its natural length by 2 inches, by applying a force of 10 pounds.

We have to calculate the work done in stretching it further to 7 inches beyond its natural length, in ft-lb.

In order to calculate the work done, we need to know the spring constant (k) of the spring and then use the formula for work done by a spring, which is given by

W = (1/2)k(x2² - x1²)

Where, W is the work done, k is the spring constant, x1 is the initial position of the spring, and x2 is the final position of the spring.So, we need to find the spring constant k of the spring, in order to calculate the work done.Let the spring constant be k lb/inch.

We know that F = kx

where, F is the force applied, x is the displacement, and k is the spring constant.

Substituting the values, we get10 = k(2)k = 5 lb/inch.

Now, we can use the formula for work done, which is W = (1/2)k(x2² - x1²)

Substituting the values, we get W = (1/2)(5)(7² - 2²)W = (1/2)(5)(45)W = 112.5 ft-lb.

Therefore, the work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

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Which is an example of a projectile?

An arrow stored in a quiver
A trapeze artist hanging from a swing
A bullet loaded into a gun's chamber
A child jumping off of a swing set

Answers

an arrow stored in a quiver i think

Answer: A child jumping off of a swing set

Explanation: A projectile is any object thrown into the air, so the child is the only thing in the air thats moving.

Help please ASAP !! Thanks

Help please ASAP !! Thanks

Answers

Answer:

I think its C

Explanation:

Give a qualitative description of the skydiver's motion after jumping out of the plane.​

Answers

Explanation:

They will have not much control over their speed or rotational energy. they will carry a lot of gravitation potential energy which will get converted to kinetic energy as they fall through the atmosphere. They will reach their terminal velocity, the fastest they can travel with earth's gravity before they pull their parachute, when they use a parachute to extend their surface area, increasing wind resistance. this allows them to land safely.

what effect does noise have on streaming videos from the cloud

Answers

Noise can negatively impact streaming videos from the cloud by degrading audio and video quality, causing interruptions, reducing clarity, and frustrating the viewing experience.

When it comes to streaming videos from the cloud, noise can have several detrimental effects. In terms of audio quality, noise can introduce unwanted disturbances, such as background noise, static, or interference, making it challenging to hear dialogues and music clearly.

This diminishes the overall audio experience and reduces immersion. Noise can also affect the video quality, introducing visual artifacts like graininess or pixelation, which compromise the clarity and sharpness of the video.

Additionally, noise interference can disrupt the streaming process itself, leading to buffering, stuttering, and freezing of the video playback. This results in interruptions and an overall poor viewing experience. Unstable network conditions due to noise can cause dropped frames, delays, and interruptions in the video stream, causing breaks and inconsistencies.

Ultimately, the user experience suffers greatly, as poor audio and video quality, interruptions, and buffering problems lead to frustration and dissatisfaction. To mitigate the impact of noise, it is crucial to ensure a stable network connection, use reliable streaming platforms or services, and minimize external sources of noise interference in the viewing environment.

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Question 2 (10 points)
NEED HELP ASAPPPPPPP!!!!
To stop the soccer ball, and gain control of it is called what?

(a) winning

(b) trapping

(c) stopping

(d) kicking​

Answers

Answer:

traping

Explanation:

Answer:

B. Trapping

Explanation:

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