roller coasters are popular attractions at amusement parks. a cart on a roller coaster approaches the highest point on the coaster. as the cart reaches the top, it slows down.

Answers

Answer 1

As it climbs yet another hill, the roller coaster slows down. Kinetic energy is converted into potential energy.

What type of potential energy does the roller coaster have at the top of the loop?

The gravitational potential energy (PE = mgh) of an object is the energy it has as a result of its height and is equal to the mass of the object times its height times the gravitational constant. The gravitational potential energy on a roller coaster is highest at the peak and lowest at the bottom. The roller coaster's potential energy is converted into kinetic energy as it travels down the hill at high speed. As it climbs yet another hill, the roller coaster slows down. Kinetic energy is converted to potential energy.

How is energy transferred on a roller coaster?

Potential energy is transformed into kinetic energy, which the roller coaster uses to go forward. Once it has around the first hill, it has all the kinetic energy it needs to complete the journey. Different wheel designs make for a comfortable ride once you're moving. Running wheels on the coaster guide it along the track.

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Related Questions

Which properties cause chemical reactions?

1. chemical and physical properties

2. chemical properties

3. physical properties

4. neither chemical nor physical properties

i’m in k-12 :)

Answers

Answer:

I think its chemical properties. forgive me if I'm wrong. Btw in in k12 too

If the electrical potential energy of two point charges is u when they are a distance d apart, their potential energy when they are fourfold as far apart will be?

Answers

The potential energy when the two point charges are four times as far apart would be one-sixteenth (1/16) of the original potential energy, given that potential energy is inversely proportional to the distance between the charges.

When two point charges are placed a certain distance d apart, there is a specific amount of electrical potential energy, u. This potential energy comes from the electrostatic attraction between the two charges.

As the two charges are placed further apart, the amount of potential energy between them decreases. Therefore, when the two charges are four times the original distance d apart, their potential energy is also reduced by a factor of four.

This is due to the fact that as the distance is increased, the strength of the electrostatic attraction between the two charges also decreases, thus reducing the amount of potential energy. The decrease in potential energy is proportional to the square of the increase in distance.

Therefore, when two charges are four times as far apart, the electric potential energy between them is decreased to 1/16 of the initial value.

In conclusion, The electrical potential energy between two point charges is inversely proportional to the distance between them. If the potential energy is u when the charges are a distance d apart, then when they are fourfold as far apart (4d), the potential energy will be one-sixteenth (1/4^2) of the original value (u/16).

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please help me out with this. ​

please help me out with this.

Answers

To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.

First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:

1/Req = 1/R1 + 1/R2 + 1/R3

Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:

1/Req = 1/22 + 1/22 + 1/22

1/Req = 3/22

Taking the reciprocal of both sides, we find:

Req = 22/3 Ω

Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:

I = V/R

Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:

I = 1.1/32

Calculating this value, we find:

I ≈ 0.034375 A

Therefore, the current in the resistor is approximately 0.034375 A.

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For every force there is one that is ___________ in size but ______________ in direction.

Answers

Answer:

» equal , opposite

Explanation:

For every force there is one that is equal

in size but opposite in direction.

because ,

Newton's Third law states that

For every force, there is another force of equal magnitude, acting in the opposite direction.

A box of mass 15 kg placed on horizontal 4 floor is pulled by a horizontal force. What will be the work done by the force if the coefficient of sliding friction between the box and the surface of the floor is 0.3 and body moved at unit distance.​

Answers

The net force on the box perpendicular to the floor is

∑ F[perp] = F[normal] - mg = 0

where mg is the weight of the box. Then

F[normal] = mg = 147 N

so that

F[friction] = 0.3 F[normal] = 44.1 N

The net force parallel to the floor is

∑ F[para] = F[applied] - F[friction] = ma

where a is the acceleration of the box. Then

F[applied] = (15 kg) a + 44.1 N

Then the work done by the applied force is

W[applied] = ((15 kg) a + 44.1 N) (1 m) = (15a + 44.1) J

We can't find the exact amount of work without any more information. If the box is pulled with constant speed, then a = 0 so the work would be 44.1 J.

If magnet A can pick up 3 steel paper clips and magnet B can pick up 11 gold paper clips and which one is stronger?

Magnet A
Both are equally strong
Magnet B
Magnet don’t attract steel paper clips

Answers

The answer to your question is b

If a 60 W light bulb and a 75 W light bulb operate from 150 V source, which bulb has a greater current in it?
60 W
75 W

Answers

Answer:

Since it us the resistance that causes the power output, it might be intuitive to think that more resistance produces more power but as P=I^2 * R one actually needs high current and low resistqnce. That means 75 W has lower resistance and higher current.

Now you may think that making the resistance very low, one gets the most power. Not so, as the circuit has wires, power source etc. All the have their resistance. In theory one gets the maximum power over a resistor when the resistor is half of the total resistance of the circuit. This in practice would be inefficient as one would lose half of the total power elsewhere. In practice circuits have fuses that limit the current and one gets the maximum power at the current the fuse is rated to. So if there is 20 A fuse, the maximum power is 2400 W and the corresponding resistance 6 ohm.

You decide to "go green" and use an exercise bike to power your home appliances. Assume that your exercise bike is rigged to generate electrical power with 60% efficiency. In other words, only 6/10 of the power you develop
can be used to store electrical energy for later use. Consider your 3500-Watt central AC unit. You need to run this unit for 4 hours each day during the summer. If you can develop a sustained power of 300 Watts on your exercise bike, how long would you have to work out just to keep the AC
running on a summer day?

Answers

The amount of time required to generate energy on the exercise bike is almost impractical, and other sources of energy should be considered.

Let's start with calculating the amount of energy that the AC unit consumes in a day.

Power = Voltage x Current

The power consumption of the AC unit is 3500 Watts.

Time = Power / Voltage x Current (Ohm's Law)

Assuming that your home uses 120 volts AC, the amount of current needed is as follows:

Current = Power / Voltage

= 3500 W / 120 V

= 29.16 A.

The time required to operate the AC unit for four hours per day is:

Time = Power / Voltage x Current

= 3500 W x 4 hr / 120 V x 29.16 A

= 12 hours.

Now, if you can generate a consistent power of 300 watts on the exercise bike, the amount of time you'd need to work out each day to keep the AC unit running for four hours would be:

Time required for the exercise bike = Time for AC Unit x (Power required by AC unit / Power generated by exercise bike)

Time required for the exercise bike = 4 hours x (3500 W / 300 W)

Time required for the exercise bike = 46.7 hours.

Using an exercise bike to generate electricity is a great idea, but it would be difficult to generate enough energy to keep large home appliances running, such as a central AC unit.

In this case, the amount of time required to generate energy on the exercise bike is almost impractical, and other sources of energy should be considered.

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define national parks of nepal ?​

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Answer:

A national park is one such protected area for the special species of flora and fauna of the region. In Nepal, there are numerous national parks to conserve and protect wildlife and their natural habitat.

the test charge is launched from point x with an initial speed vo and is observed to pass through point y. is the speed of the test charge at point y greater than, less than, or equal to vo? explain your reasoning.

Answers

When a test charge is launched from point X with an initial speed v0 and later observed at point Y, the change in its speed depends on the electric field and forces acting upon it.

If the test charge experiences a net force in the direction of its motion, its speed at point Y will be greater than v0.

Conversely, if the net force opposes the motion, the speed will be less than v0. If no net force acts on the test charge, or if the force is perpendicular to its motion, its speed at point Y will be equal to v0.

To determine the exact change in speed, consider the specific electric field and forces involved.

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What is the difference between FIR AND IIR filter?

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Digital filters are important in digital signal processing. FIR and IIR filters are two types of digital filters. The main difference between FIR and IIR filters is that FIR filters are known as non-recursive filters, while IIR filters are recursive filters. In this answer, we will explore more about the differences between FIR and IIR filters.

FIR Filters FIR stands for finite impulse response. FIR filters are also called non-recursive filters. In an FIR filter, the output depends only on the current input and the previous inputs. FIR filters are also known as moving average filters. FIR filters have a linear phase response, which makes them useful in audio and image processing. FIR filters have more stable responses compared to IIR filters, which means they are more predictable.

IIR filters are more efficient than FIR filters because they use feedback loops. IIR filters have nonlinear phase responses, which make them useful in signal processing and control systems. IIR filters are less stable than FIR filters, which means they are less predictable.

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PLEASE help! I am so desperate LOL

1: A 75.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 20.0 m) and spun at a constant angular velocity of 15.0 rpm (revolutions per minute). He is then slowed and brought to a stop in 2.0 minutes.
(1a) Find the magnitude and direction of the centripetal acceleration and force when he is spinning at constant angular velocity.

(2a) How many g’s is the astronaut experiencing when moving at constant angular velocity?

(3a) Find the torque that is needed to bring the centrifuge to a stop knowing the centrifuge has a mass of 5500.0 kg (ignore all other forces) and the force is applied at the edge of the centrifuge (20.0 m radius). Hint: torque is based on the change of linear velocity.

2: An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph.

(2a) What is the period and frequency of the pendulum’s motion?

(2b) How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be?

(2c) What is the acceleration due to gravity on the surface of the planet in m/s2? Determine the number of g-forces.

Answers

Answer: (1a) The magnitude of the centripetal acceleration is 31.4 m/s^2, and the direction is towards the center of the circular motion.

(2a) The astronaut is experiencing 31.4 m/s^2 / 9.8 m/s^2 = 3.22 g's.

(3a) The torque needed to bring the centrifuge to a stop is (5500.0 kg * 31.4 m/s^2 * 20.0 m) = 3,420,000 N * m.

2:

(2a) The period of the pendulum's motion is 0.20 m / 0.10 m/s = 2.0 seconds, and the frequency is 1 / 2.0 s = 0.50 Hz.

(2b) The graphs of velocity and acceleration would be 0.5 seconds out of phase with the displacements shown.

(2c) The acceleration due to gravity on the surface of the planet is 0.10 m/s^2 / 9.8 m/s^2 = 1.02 g's.

Explanation:

A gas occupies a certain volume at 27°C. At what temperature will it volume be doubled, assuming that its pressure remains constant?​

Answers

Answer:

327 \(^oC\)

Explanation:

The temperature at which the volume would be doubled is 327 \(^oC\).

Using the formula from Charles' law:

V1/T1 = V2/T2, where V1 = initial volume, T1 = initial temperature, V2 = final volume, and T2 = final temperature.

In this case, V2 = 2V1, T1 = 300 K (27 + 273), and T2 is what we are looking for.

Substituting the different entities in the equation:

V1/300 = 2V1/T2

    T2 = 300 x 2 = 600K

Hence, T2 = 600 - 273 = 327 \(^oC\)

What does a velocity measurement include that a speed measurement does not? A: Time B:direction C:distance D: acceleration​

Answers

Answer:

B. Direction

Explanation:

Speed is a scalar quantity and doesn't keep track of direction : Velocity is a vector quantity and is direction aware.

i was told that a .22 bullet is one of the most dangerous bullets to get shot with because it bounces around inside your body until it hits something. is this true?

Answers

It is FALSE that a .22 bullet is one of the most dangerous bullets to get shot with because it bounces around inside our body until it hits something.

Compared to equivalent bullets fired from a handgun, those shot from a rifle will have higher energy. Because the bullet chambers can be made to sustain higher pressures, more powder may also be used in rifle cartridges (50,000 to 70,000 for rifles psi vs. 30,000 to 40,000 psi for handgun chamber). Higher pressures call for a larger gun with higher recoil, slower loading, and more heat generation, which results in increased metal wear. The forces inside a gun barrel are challenging to quantify in reality, but the velocity at which the bullet leaves the barrel is one quantity that can be easily quantified (muzzle velocity). The study of a projectile's path while in flight is known as ballistics. A bullet's trajectory involves its descent down the barrel, passage through the atmosphere, and passage through a target. Projectiles' capability to cause injury is a complicated issue.

A .22  long rifle bullet or any other bullet, performs similarly. Just though the caliber varies, projectiles don't "bounce around" magically.

It tends to have little to no exit wound, though, because it is a low mass, low velocity round.

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A plane lands on a runway with a speed of 115 m/s, moving east, and it slows to a stop in 11.0 s. what is the magnitude and direction of the plane's average acceleration during this time interval?

Answers

By using uniform motion, the acceleration of plane is - 10.45 m/s² .

We need to know about the uniform motion to solve this problem. The uniform motion is the motion of an object which has acceleration applied. It can be determined as

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time interval and s is displacement.

From the question above, we know that:

vi = 115 m/s

vt = 0

t = 11 s

By using first equation, we can calculate the acceleration

vt = vo + a . t

0 = 115 + a . 11

11a = -115

a = - 10.45 m/s²

Hence, the acceleration of plane is - 10.45 m/s² .

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a 3.1-kg object falls vertically downward in a viscous medium at a constant speed of 2.5 m/s. how much work is done by the force the viscous medium exerts on the object as it falls 85 cm?

Answers

The work is done by the force the viscous medium exerts on the object as it falls 85 cm is -26.35 joules.

   The mass of the object is m = 3.1kg

    The speed of fall is v = 2.5 m/s

    The depth of fall is d = 85cm

Now here given that the velocity is constant, then the work energy is zero.

So, work done by the potential energy of the object and that of the viscous liquid we have

      W = Wv + Wp

Where  Wv is work done by viscous liquid and

Wv is the work done by the object

           Wp = mgd

So  

      0  = Wv + mgd

 Wv = -mgd

substituting values

Wv = -3.1x10x85

Wv = 26.35 joules

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What is the weight of a truck that has a mass of 3500kg?
Please help me!! I will mark u brainliest if u answer me!!!

Answers

Answer:

7716.179 pounds? Are you asking for a conversion or something different?

What does a search engine do?

Answers

Answer:

A search engine, allows the person to search upon the internet for content using 'keywords'.

Answer:

search engines allow users to search the internet for content using keywords. although the market is dominated by a few, there are many search engines that people can use.

Explanation:

Problem 1 (Windowed Time-Domain Signals) Find and plot the Fourier transform of the follow- ing windowed sinusoidal signals. a) X(t) Scos(10t), 0, -10 < t < 10. clscwhere. b) Scos(10t), x(t) = 0

Answers

To find the Fourier transform, integrate the windowed sinusoidal signal and plot its frequency components.

To find and plot the Fourier transform of the windowed sinusoidal signals, let's consider each case separately:

a) For the signal \(X(t) = S*cos(10t)\),

where the time domain is restricted to -10 < t < 10, we can apply the Fourier transform to obtain its frequency domain representation.

The Fourier transform of X(t) can be calculated as follows:

\(X(f) = (1/2\pi ) * \int\[(-10) to (10)] X(t) * e^{(-j2\pi ft) dt\)

Substituting X(t) = S*cos(10t) into the equation, we get:

\(X(f) = (1/2\pi ) * \int\[(-10) to (10)] S*cos(10t) * e^{(-j2\pi ft) dt\)

Using trigonometric identities, we can simplify the expression further.

After evaluating the integral, we obtain the Fourier transform X(f) in the frequency domain.

b) For the signal \(x(t) = S*cos(10t),\)

where x(t) is zero outside the given time interval, the Fourier transform of x(t) can be determined similarly by applying the Fourier transform formula.

However, since x(t) is zero outside the interval, the Fourier transform will be nonzero only for frequencies within the range of the cosine function.

Therefore, the frequency domain representation will have a spike at f = 10 Hz with a magnitude of S/2π.

To plot the Fourier transform, we can plot the magnitude or the magnitude and phase of X(f) against the frequency f.

The resulting plot will show the frequency components present in the windowed sinusoidal signal.

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Heat is energy transferred from one place to another. What other things can you transfer from one place to another?

Answers

Answer:poop

from ur stomach to the toilet duh that's logical

Explanation:

Heat is energy transferred from one place to another. You can transfer  sound, which is wave, from one place to another.

What is energy?

Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another.

Energy is always assigned based on its nature once it has been transmitted. Thus, heat transferred may manifest as thermal energy while work performed may result in mechanical energy.

What is wave?

A wave is an energetic disturbance in a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are a few examples.

Hence, you can transfer  sound, which is wave, from one place to another.

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There is only one submission for this question. Consider a double-slit experiment. Match the equation with the appropriate type of interference. d sin theta = m lambda, m = 0.1.2. ... d sin theta = (m + 1/2)lambda m = 0.1.2. ...

Answers

The equation d sin theta = m lambda, where m can be any integer including 0, represents constructive interference in a double-slit experiment.

This equation is used to calculate the location of bright fringes on the screen where the two waves interfere constructively. On the other hand, the equation d sin theta = (m + 1/2)lambda, where m can also be any integer including 0, represents destructive interference in the double-slit experiment. This equation is used to calculate the location of dark fringes on the screen where the two waves interfere destructively.

matching equations to the appropriate type of interference in a double-slit experiment. The two equations provided are:

1. d sin theta = m lambda, m = 0, 1, 2, ...
2. d sin theta = (m + 1/2) lambda, m = 0, 1, 2, ...

The first equation (d sin theta = m lambda) represents constructive interference. Constructive interference occurs when the path difference between two waves results in a multiple of their wavelength (m lambda), leading to an enhancement of the wave amplitude at that point.

The second equation (d sin theta = (m + 1/2) lambda) represents destructive interference. Destructive interference occurs when the path difference between two waves results in a half-integer multiple of their wavelength ((m + 1/2) lambda), causing the wave amplitudes to cancel each other out at that point.

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Which choice correctly describes how light interacts with atoms in a material when the light is absorbed?

The atoms must have the same natural frequency as the light, allowing the atoms to vibrate at the same frequency. The atom collides with other atoms absorbing the energy and converting it to heat.

The atoms must vibrate at a frequency that is different from the frequency of ultraviolet light, which prevents ultraviolet light from getting through the material. The energy is absorbed.

The atoms must vibrate at a frequency that is different from the frequency of ultraviolet light. As the atoms vibrate, ultraviolet waves move through the material and are converted to visible light.

The atoms must have the same natural frequency as the light, allowing the atom to vibrate. Since the atoms share the same natural frequency, the energy can be absorbed without converting it into heat.

Answers

The atoms must have the same natural frequency as the light, allowing the atoms to vibrate at the same frequency. The atom collides with other atoms absorbing the energy and converting it to heat.

Interaction of light with atoms

The absorption of light by a particular material occurs when the frequency of the light wave matches the frequency at which electrons in the atoms of that material vibrate.

The asbroption of this light causes heat to be generated.

Thus, we can conclude that, the atoms must have the same natural frequency as the light, allowing the atoms to vibrate at the same frequency. The atom collides with other atoms absorbing the energy and converting it to heat.

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the outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater tan 38 mm. true or false

Answers

The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm is true. A vibration sensor is a system that is used to identify the condition of machinery and prevent it from being harmed. It keeps track of vibrations in the machinery and sends an alert if it exceeds a set threshold.

A sensor that detects vibrations in the environment or within a physical structure is known as a vibration sensor. Vibration sensors are commonly utilized in the maintenance of rotating equipment like pumps, motors, and other machinery to predict failure before it happens.

Based on the vibration being observed, these sensors may detect a range of defects, from unbalance and misalignment to bearing wear and looseness.

The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm. Hence, the given statement is true. This size range is important for the sensor to be able to pick up on the machinery's small vibrations and changes.

Anything smaller than 19 mm will not detect vibrations with the same precision, and anything larger than 38 mm will be more difficult to install in tight locations.

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Rock X is released from rest at the top of a cliff is on earth. A short time later, Rock y is released from rest from the same point as rock X. Both rocks fall for several seconds before landing on the ground directly below the cliff. Frictional forces are considered to be negligible. Which of the following graph correctly shows the vertical velocity of rock X as a function of time? Take the positive direction to the upward.​

Rock X is released from rest at the top of a cliff is on earth. A short time later, Rock y is released

Answers

Answer:

The graph that correctly shows the vertical velocity is B. since the velocity is negative and increases linearly over time

Explanation:

When an object is dropped from rest its movement is ruled only by the effect of gravity.

The acceleration of gravity \(g=9.8\ m/s^2\) makes the object gain speed with a linear relation as shown:

vf = g.t

If we take the positive direction to be upward, then the speed will always be negative since the object will go against the positive direction.

Thus, the graph that correctly shows the vertical velocity is B. since the velocity is negative and increases linearly over time

From the given graphs, only the second graph (option B) started from rest (0) and later increased with time.

The given parameters;

Rock XRock yinitial velocity of Rock X = 0

The final vertical velocity of the rock X after a short time "t" is calculated as follows;

\(v_y_f = v_y_i + gt\\\\v_y_f = 0 + 9.8t\)

The vertical velocity of the rock x will increase with time as it moves downwards.

Therefore, we can conclude that, from the given graphs, only the second graph (option B) started from rest (0) and later increased with time.

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Can someone please help

Can someone please help

Answers

99.16 Newtons is the new force of attraction between the particles.

What causes an atoms to attract one another?

The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.

\(F = (kq1q2)/r^2\)

\(9,916 = (kq1q2)/r^2\)

\(F = (k*(q1/5)*(q2/5))/(2r)^2\)

\(F = (1/100)((kq1*q2)/(r^2))\)

So, the new force of attraction is:

\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)

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What do dependent and independent variables mean in science?

Answers

Answer:

Independent variable: These are the factors or conditions that you manipulate in an experiment.

Dependent variables: These are the factor that you observe or measure.

what is the difference between diegetic and nondiegetic sound?

Answers

Diegetic sound is a form of sound that appears to be within the actual situation, context, and time frame of the visuals, whereas nondiegetic sound is a form of sound that is not within the actual situation or context of the visuals.

What is diegetic sound? Diegetic sound refers to the natural and artificial sound or speech in a film, as well as any other sounds that are heard by the characters. It refers to the sound that appears to be within the actual situation, context, and time frame of the visuals.Diegetic sound is further divided into two categories: on-screen and off-screen sound. On-screen sound refers to sound that is visible on the screen, whereas off-screen sound refers to sound that is not visible on the screen.

What is nondiegetic sound? Nondiegetic sound is a form of sound that is not within the actual situation or context of the visuals. It refers to sound that is not heard by the characters in the film. Nondiegetic sound, also known as background music, is used to emphasize or create an effect that adds to the mood, emotion, or tone of the scene. Nondiegetic sound is frequently used in film and television to create a sense of tension or to heighten the emotional impact of a scene. For example, music is frequently used in romantic films to create a mood or to intensify an emotion.

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If I throw a ball straight up at 20 m/s, at what time will the ball lose speed? Ignore air resistance and g= 9.8 m/s2

Answers

Given data

*The ball is thrown straight upwards at a speed is u = 20 m/s

*The value of the acceleration due to gravity is g = 9.8 m/s^2

*The value of the final velocity of the ball at maximum height is v = 0 m/s

The formula for the time taken by the ball to lose its speed is given by the equation of motion as

\(v=u-gt\)

Substitute the known values in the above expression as

\(\begin{gathered} 0=20-(9.8)t \\ t=2.04\text{ s} \end{gathered}\)

A population is known to have a standard deviation of 26.1. A sample space of 35 items has a mean of 562. Construct a 90% confidence interval estimate of the name of the population.

Answers

Answer:

553.74≤x≤578.26

Explanation:

The formula for calculating the confidence interval is expressed as

CI = xbar±(z×s/√n)

xbar is the mean = 562

s is the standard deviation = 26.1

n is the sample size = 35

z is the z score at 90% CI = 1.645

Substitute the values into the formula

CI = xbar±(z×s/√n)

CI = 561±(1.645×26.1/√35)

CI = 561±(1.645×4.412)

CI = 561±7.257

CI = {561-7.257, 571+7.257}

CI = {553.74, 578.26}

Hence the 90% confidence interval estimate of the name of the population is 553.74≤x≤578.26

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