a 10-bit dac has a range of 0 to 2.5v, what is the approximate resolution?

Answer:

This is what the Ecological Footprint does: It measures the biologically productive area needed to provide for everything that people demand from nature: fruits and vegetables, meat, fish, wood, cotton and other fibres, as well as absorption of carbon dioxide from fossil fuel burning and space for buildings and roads.

Why it's useful:

Ecological footprint (EF), measure of the demands made by a person or group of people on global natural resources. It has become one of the most widely used measures of humanity’s effect upon the environment and has been used to highlight both the apparent unsustainability of current practices and the inequalities in resource consumption between and within countries.

Answer:

The answer is below

Explanation:

Charlee's law states that the volume of a gas is directly proportion to the temperature of the gas at constant pressure. That is:

V = kT, where V = volume and T = temperature, k = constant. Therefore:

V / T = k

\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)

Given that: \(V_1=3\ m^3, T_1=20^oC=(20 + 273)K=293\ k,T_2=60^oC=(60 + 273)K=333\ k.\\\\\frac{V_1}{T_1}=\frac{V_2}{T_2}\\\\\frac{3}{293}=\frac{V_2}{333} \\\\V_2=\frac{3}{293}*333\\\\V_2=3.41\ m^3\\\)

The new volume is 3.41 m³. That is it expands by 0.41 m³

Answer:

0.02484

Explanation:

Trust me bro

Given data:

* The force applied on the ball is F = 900 N.

* The time of contact between Bob and the ball is t_1 = 0.3 s.

* The time of contact between Jill and the ball is t_2 = 0.6 s.

Solution:

The impulse applied by the bob is,

The impulse applied by Jill is,

Thus, the impulse applied by Jill is more than the impulse applied by Bob.

Hence, 4th option is the correct answer.

d. all of these

look at the picture to know from where we get this law with application on it

When an object moves at constant speed, the net force acting on that object is equal to 0:

Two forces act over a parachutist while falling: the force of gravity (weight) and the air resistance. Those two forces have opposite directions, we can consider that the air resistance is positive because it points upwards, and the weight is negative because it points downwards:

Then, when the parachutist reaches the terminal velocity, the force of air resistance is equal to the weight of the parachutist.

Therefore, the answer is option e:

Answer:

Demagnetizing a magnet :

(a) Using a_rad = \(\omega^{2r\): Approximately 100.53 m/s²

(b) Using a_rad = \(v^{2/r\): Approximately 31.42 m/s²

To solve the problem, let's first convert the angular acceleration from revolutions per minute (rpm) to radians per second squared (rad/s²):

Given:

Diameter of the wheel (D) = 40.0 cm

Radius of the wheel (r) = D/2 = 20.0 cm = 0.20 m

Angular acceleration (α) = 4 rpm

(a) Using the relationship a_rad = \(\omega^{2r\):

The angular acceleration (α) can be converted to angular velocity (ω) using the formula:

ω = αt, where t is the time taken to complete two revolutions.

Since the wheel starts from rest, the time taken to complete two revolutions is given by:

t = (2 rev) / (4 rpm) = 0.5 min = 30 s

Now we can calculate the angular velocity (ω):

ω = αt = (4 rpm) × (2π rad/1 min) × (1 min/60 s) × (30 s) = 4π rad/s

Using the relationship a_rad = \(\omega^{2r\), we can calculate the radial acceleration:

a_rad = \(\omega^{2r\) = (4π rad/s)² × 0.20 m

a_rad = 16π² × 0.20 m ≈ 100.53 m/s²

Therefore, the radial acceleration of a point on the rim, calculated using a_rad = \(\omega^{2r\), is approximately 100.53 m/s².

(b) Using the relationship a_rad = \(v^{2/r\):

The wheel starts from rest, so its initial linear velocity (v) is zero.

The final linear velocity (v) can be calculated using the formula:

v = ωr

The time taken to complete two revolutions is already calculated as 30 seconds, so we can find the final angular velocity (ω) as follows:

ω = αt = 4π rad/s (same as before)

Now we can calculate the final linear velocity (v):

v = ωr = (4π rad/s) × 0.20 m ≈ 2.513 m/s

Using the relationship a_rad = \(v^{2/r\), we can calculate the radial acceleration:

a_rad = \(v^{2/r\) = (2.513 m/s)² / 0.20 m

a_rad ≈ 31.42 m/s²

Therefore, the radial acceleration of a point on the rim, calculated using a_rad = \(v^{2/r\), is approximately 31.42 m/s².

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Answer:

a= kinetic energy vs. different masses at same speed, b= kinetic energy vs. same masses at different speeds

Explanation:

graphs are looking at speed so masses don't matter as much. same speed the whole time will equal same kinetic energy the whole time.

A) I_t = I_i, C) 0.33 m, A) 0.53 times 10^-2 s

For the first question:

The correct expression for the transmitted intensity of an unpolarized beam of light passing through a polarizer is:

A) I_t = I_i

When an unpolarized light beam passes through a polarizer, the transmitted intensity is equal to the incident intensity. This means that the intensity of the light remains unchanged after passing through the polarizer.

For the second question:

The associated wavelength of a cell phone signal operating at 900 MHz can be calculated using the formula: wavelength = speed of light / frequency.

The speed of light is approximately 3.0 x 10^8 m/s.

Calculating the wavelength:

wavelength = (3.0 x 10^8 m/s) / (900 x 10^6 Hz)

wavelength = 3.33 x 10^-1 m

Therefore, the correct answer is:

C) 0.33 m

The wavelength of the cell phone signal is 0.33 meters.

For the third question:

To calculate the time it takes for a light signal to travel from one planet to another, we need to divide the distance between the two planets by the speed of light.

Calculating the time:

time = distance / speed of light

time = (1.6 x 10^6 m) / (3.0 x 10^8 m/s)

time = 5.33 x 10^-3 s

Therefore, the correct answer is:

A) 0.53 times 10^-2 s

The time for the light signal to travel from one planet to the other is 0.53 times 10^-2 seconds.

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The expression for the transverse harmonic wave is:

y(x, t) = 0.15 * sin(2.9948x - 6.7143t)

The general equation for a transverse harmonic wave is given by:

y(x, t) = A * sin(kx - ωt + φ)

Where:

y(x, t) is the displacement of a point on the wave at position x and time t.

A is the amplitude of the wave.

k is the wave number, defined as 2π divided by the wavelength (k = 2π/λ).

x is the position along the wave.

ω is the angular frequency, defined as 2π times the frequency (ω = 2πf).

t is the time.

φ is the phase constant, representing the initial phase of the wave.

In this case, the given information is:

Wavelength (λ) = 2.1 m

Speed (v) = 14.1 m/s

Amplitude (A) = 0.15 m

To find the wave number (k) and angular frequency (ω), we can use the relationship between the speed, wavelength, and frequency:

v = f * λ

Rearranging the equation to solve for frequency (f):

f = v / λ

Substituting the given values:

f = 14.1 m/s / 2.1 m

f ≈ 6.7143 Hz

Now we can calculate the wave number:

k = 2π / λ

k = 2π / 2.1 m

k ≈ 2.9948 rad/m

Since the wave is propagating to the right, the phase constant φ is 0.

Putting all the values together, the expression for the harmonic wave is:

y(x, t) = 0.15 * sin(2.9948x - 6.7143t)

Note that the displacement at a specific time t is not mentioned in the question. To determine the displacement at a specific time, substitute the desired value of t into the equation.

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Hurricanes spin as they move due to a phenomenon known as the Coriolis effect, which is caused by the Earth's rotation. The Coriolis effect is a result of the fact that different parts of the Earth rotate at different speeds.

Specifically, the Earth rotates more rapidly at the equator than at the poles.

As air moves from high-pressure areas to low-pressure areas, it is deflected by the Coriolis effect. In the case of a hurricane, the low-pressure area at the center of the storm causes air to flow inward from all directions. As the air moves toward the center of the storm, it is deflected to the right (in the Northern Hemisphere) due to the Coriolis effect. This deflection causes the air to start rotating counterclockwise around the center of the storm.

The rotation of the hurricane becomes more pronounced as the storm gains strength and size, with the wind speed increasing as the storm's pressure drops. The direction of rotation is determined by the hemisphere the storm is in, with hurricanes in the Northern Hemisphere rotating counterclockwise and hurricanes in the Southern Hemisphere rotating clockwise. The rotation of a hurricane is also affected by other factors such as the shape of the coastline and the temperature of the water, but the Coriolis effect is the main cause of the storm's rotation.

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The false statement is B) Homolytic bond cleavage yields neutral radicals in which each atom gains one electron.

In homolytic bond cleavage, each atom retains one electron from the shared pair of electrons, resulting in the formation of two neutral radicals, where each atom retains its original number of electrons.

No atoms gain or lose electrons in this process.

In a homolytic bond cleavage, a covalent bond is broken, and the shared pair of electrons is split equally between the two atoms involved in the bond.

This results in the formation of two neutral radicals, with each atom retaining one of the electrons from the shared pair.

A radical is a chemical species characterized by the presence of an electron that is unpaired, meaning it does not have a partner electron with which it forms a complete pair. When a covalent bond is homolytically cleaved, each atom involved in the bond gains one electron, resulting in the formation of two radicals.

These radicals are highly reactive due to the presence of the unpaired electron, which makes them prone to participate in further chemical reactions.

It's important to note that in homolytic bond cleavage, there is no transfer of electrons from one atom to another.

Instead, the bond is broken in a way that allows each atom to retain one of the electrons, leading to the formation of two neutral radicals.

Therefore, statement B, which suggests that each atom gains one electron, is false.

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The magnetic field of \(1.16 * 10^{-4}\) Tesla would be required to cause an electron to undergo the same circular motion as in the simplified model of the hydrogen atom.

This can be determined using the equation for the magnetic field required for a charged particle to move in a circular path, which is B = (mv)/qR, where B is the magnetic field, m is the mass of the electron, v is its velocity, q is its charge, and R is the radius of the circular orbit.

Substituting the given values into this equation, we get

\(B = (9.11 * 10^{-31}  kg * 2 * pi * 5.3 * 10^{-10}  m * 6.6 * 10^{15} Hz)/(1.6 * 10^{-19}C)\)

= \(1.16 * 10^{-4}\)
Therefore, a magnetic field of \(1.16 * 10^{-4}\) Tesla would be required to cause an electron to undergo the same circular motion as in the simplified model of the hydrogen atom.

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Answer:

The alkaline earth metals are the elements that correspond to group 2 of the modern periodic table. This group of elements includes beryllium, magnesium, calcium, strontium, barium, and radium. The elements of this group are quite similar in their physical and chemical properties.

Explanation:

The number of waves present in the picture is one wave

The wavelength of the wave is 5 cm

The frequency of the wave is the number of waves per second.

The period of the wave is the time taken for one complete wave oscillation.

The speed of the wave is the distance covered per second

The properties of a wave are the characteristics that are used to identify waves.

The properties of waves include:

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It takes approximately 1.2 seconds for the pop can to reach the ground after being dropped by the balloonist. To answer your question, we can use the kinematic equation is given below.
h = vi*t + 0.5*a*t²

we need to consider the initial conditions of the falling pop can. When the balloonist accidentally drops the can, it has an initial velocity equal to the upward velocity of the hot air balloon, which is 4.0 m/s. Also, the initial height of the can is 4.0 meters above the ground.

Since the can is now in free fall, it will be acted upon by gravity, which has an acceleration of -9.8 m/s² (negative because it's downward). We can use the following equation of motion to find the time it takes for the pop can to reach the ground:
h = vi*t + 0.5*a*t²
Where h is the height (4.0 m), vi is the initial velocity (4.0 m/s), a is the acceleration due to gravity (-9.8 m/s²), and t is the time we want to find.
Rearranging the equation for t, we get:
t = [(-2*h) / (vi - 0.5*a)]^(1/2)
Plugging in the given values:
t = [(-2*4) / (4 - 0.5*(-9.8))]^(1/2)
t ≈ 1.2 seconds

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Answer:

400m

Explanation:

From Newton's law of motion;

S = ut + 1/2 at2

Where U is initial velocity

a is acceleration

t is velocity hence;

S is distance covered

S = 20×10 + 1/2 × 4×(10)^2

= 200 + 200 = 400m

Answer:

\(T_f=7.38^{\circ}\)

Explanation:

Given that,

Mass, m = 5 kg

Initial temperature of water, \(T_i=5^{\circ} C\)

Heat transferred, Q = 50 kJ = 50,000 J

The specific heat capacity of water is 4200 J/kg°C

We need to find the final temperature of the water. The heat transferred in the process is given by :

\(Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\\dfrac{Q}{mc}+T_i=T_f\\\\T_f=\dfrac{50000}{5\times 4200}+5\\\\T_f=7.38^{\circ}\)

So, the final temperature of water is \(7.38^{\circ}\).

Answer:heart

The hardest working muscle is the heart. It pumps out 2 ounces (71 grams) of blood at every heartbeat. Daily the heart pumps at least 2,500 gallons (9,450 liters) of blood. The heart has the ability to beat over 3 billion times in a person's life.

Explanation:hope this helps

We will have the following:

From the graph and the direction of the focus of the electric field assuming it is a negative electric field will be:

*Net torque: Clockwise.

*Net force: Zero.

The names of the planets in our solar system, in order from the Sun, are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

These planets were named after Roman gods and goddesses. Mercury is named after the messenger god, Venus after the goddess of love and beauty, Earth is derived from the Germanic word 'erda', which means ground or soil.

Mars is named after the Roman god of war, Jupiter after the king of the gods, Saturn after the god of agriculture, Uranus after the Greek god of the sky, and Neptune after the god of the sea. In 2006, Pluto, which was previously considered the ninth planet, was reclassified as a "dwarf planet."

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Currently, there are various alternatives to fossil fuel energy that are being explored and utilized around the world. These alternatives include renewable sources of energy such as wind, solar, hydro, geothermal, and bioenergy.

While these sources of energy have been around for many years, advances in technology have made them more efficient and cost-effective, resulting in increased adoption in recent years. However, despite the progress made in developing these alternatives, fossil fuel energy still dominates the global energy mix. In many countries, fossil fuel energy continues to be the primary source of energy due to its affordability and reliability. Nevertheless, there is a growing global effort to shift towards renewable energy sources, driven by concerns over climate change, energy security, and public health. As such, governments, businesses, and individuals are increasingly investing in renewable energy projects, research, and development in an effort to accelerate the transition away from fossil fuels.

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The expression for |S_avg| is: |S_avg| = (P * β) / (4πε₀r^2c)

The magnitude of the average Poynting vector (|S_avg|) at a distance r from the lightbulb can be calculated using the following expression:

|S_avg| = (P * β) / (4πε₀r^2c)

where:

- |S_avg| is the magnitude of the average Poynting vector

- P is the power emitted by the lightbulb (given as P-watt)

- β is the fraction of energy emitted as electromagnetic radiation (given as 0.05 or 5%)

- π is a mathematical constant (approximately 3.14159)

- ε₀ is the permittivity of free space (a constant)

- r is the distance from the lightbulb

- ^2 denotes "squared"

- c is the speed of light (a constant)

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To determine the magnitude and direction of the magnetic field produced by a current-carrying wire in Investigation 1, you can use Ampère's Law and the right-hand rule. Ampère's Law relates the magnetic field around a closed loop to the electric current passing through that loop.

In the case of a straight wire, the magnetic field forms concentric circles around the wire, with the field's strength decreasing as you move farther from the wire.

To calculate the magnitude of the magnetic field, you can use the formula B = (μ₀ * I) / (2 * π * r), where B represents the magnetic field strength, μ₀ is the permeability of free space (4π x 10⁻⁷ Tm/A), I is the current through the wire, and r is the distance from the wire to the point where the magnetic field is being measured.

For determining the direction of the magnetic field, you can use the right-hand rule. If you point your thumb in the direction of the current and curl your fingers, your fingers will wrap around the wire in the direction of the magnetic field. This means that if the current flows upward, the magnetic field will rotate clockwise around the wire when viewed from above.

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By applying Coulomb's Law concept, it can be concluded that:

a. the third charge can be placed at 0.859 meters to the right of the second charge;

b. if both charges are positive, then the third can be placed at 0.109 meters to the left of the second charge

Coulomb's law states that if there are two electrically charged objects a force will be created between them, which will be directly proportional to the product of the values of the two charges and inversely proportional to the square of the distance between the two objects.

F = k * Q₁ * Q₂ / d² , where:

F = electric force

k = constant

Q₁, Q₂ = charges

d = distance

We have the following information:

Q₁ = 5.00 μC

Q₂ = -3.00 μC

d = 0.025 m

A. To calculate the position of Q₃ (F=0), we assume that it will be placed x meter at the right of Q₂, so the distance between Q₁ and Q₃ = d + x. Then we have the following equations:

(k * |Q₁| * |Q₃|) / (d+x)² = (k * |Q₂| * |Q₃|) / x²

                |Q₁| / (d+x)² = |Q₂| / x²

                                 x = d / ± √((|Q₁| / |Q₂|) - 1)

If we substitute the value of Q₁ and Q₂, we get:

x = d / ± √((|Q₁| / |Q₂|) - 1)

  = 0.025 / ±√((5/3) - 1)

  = 0.250 / (±1.291 - 1)

  = 0.250 / (1.291 - 1) or 0.250 / (-1.291 - 1)

  = 0.859 or −0.109

since x must be positive, we pick x = 0.859 meters

B. The position of Q₃ gives that the two charges are positive can be obtained by assuming it will be placed between Q₁ and Q₂. Thus the distance between Q₁ and Q₃ = d - x.

(k * |Q₁| * |Q₃|) / (d-x)² = (k * |Q₂| * |Q₃|) / x²

               |Q₁| / (d-x)² = |Q₂| / x²

                               x = d / (1 ± √((|Q₁| / |Q₂|))

If we substitute the value of Q₁ and Q₂, we get:

x = 0.250 / (1 ± √((|5|/|3|))

  = 0.250 / (1 ± √((5/3))

  = 0.250 / (1 ± 1.291)

  = 0.250 / (1 + 1.291) or 0.250 / (1 - 1.291)

  = 0.109 or −0.859

since x must be positive, we pick x = 0.109 meters

Thus, the third charge can be placed at 0.859 meters to the right of the second charge; and if both charges are positive, then it can be placed at 0.109 meters to the left of the second charge.

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Answer:

1.

Astronomers define star brightness in terms of apparent magnitude — how bright the star appears from Earth — and absolute magnitude — how bright the star appears at a standard distance of 32.6 light-years.

2.

Sirius, also known as the Dog Star or Sirius A, is the brightest star in Earth's night sky. The name means "glowing" in Greek — a fitting description, as only a few planets, the full moon and the International Space Station outshine this star.

Answer:

Sirius is the brightest star in the night sky

Explanation:

The name means 'glowing' in greek

It doesn't rise and set. But it appears to rise and set because of the Earth's rotation on its axis. As the Earth rotates toward the east, it looks like the sun is moving west. As the Earth rotates, different locations on Earth pass through the sun's light.

It doesn't rise and set. But it appears to rise and set because of the Earth's rotation on its axis. ... As the Earth rotates toward the east, it looks like the sun is moving west. As the Earth rotates, different locations on Earth pass through the sun's light

Answer:

The brain analysis technique which allows for identifying which part of the brain is functional per human activity is Neuroimaging.

Explanation:

Brain Imaging (or Neuroimaging) involves the use of direct observation in a living organism of the structure, function and anatomy of its central nervous system.

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