The current in a 2.0 mm x 2.0 mm square aluminum wire is 2.5 A. What are (a) the current density and (b) the electron drift speed?

Answer:

Rayleigh's criterion for resolution is

θ = 1.22 * λ / D

If we choose green light (near the middle of the spectrum)

λ = 5000 * 1.0E-10 = 5.0E-7 m

Since D = .043 m        aperature available for resolution

θ = 1.22 * λ / D = 1.22 * 5.0E-7 / .043 = 1.4E-5

D = S * θ         where θ is angle subtended by D

S = D / θ  = .0009 m / 1.4E-5 = 64 m

S = 64 m

Answer:

B. Solids are highly compressible

Answer:

B is the answer to me in short

Answer:

B) The period would change by a factor of \(\frac{1}{\sqrt{2} }\)

Explanation:

Edmentum/Plato

The pH of the solution is approximately 4.26.

The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution. It is based on the concentration of hydronium ions ([H3O+]) in the solution. The formula to calculate pH is:

pH = -log[H3O+]

In your case, the concentration of hydronium ions is given as [H3O+] = 5.45 × 10^(-5) M.

To find the pH, we need to take the negative logarithm (base 10) of the hydronium ion concentration. Using a scientific calculator or logarithmic tables, we can calculate:

pH = -log(5.45 × 10^(-5))

The negative sign is included in the formula because the pH scale is defined as the negative logarithm of the hydronium ion concentration.

Evaluating the logarithm, we find:

pH ≈ -(-4.261)

The double negative sign cancels out, resulting in:

pH ≈ 4.261

Therefore, the pH of the solution is approximately 4.261. This indicates that the solution is acidic since a pH below 7 is considered acidic on the pH scale.

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Answer:

A attractive field pulls and pushes electrons in certain objects closer to them, making them move. Metals like copper have electrons that are effortlessly moved from their circles. In case you move a magnet rapidly through a coil of copper wire, the electrons will move - this produces power.

Waves share common characteristics such as wave motion, amplitude, wavelength, frequency, wave speed, and interactions with boundaries. These properties are fundamental to understanding the behavior and properties of various types of waves, including sound waves, electromagnetic waves, water waves, and seismic waves.

A characteristic of all waves is their ability to transfer energy without transferring matter. This fundamental property distinguishes waves from other forms of energy transfer, such as the movement of objects in a solid or the flow of fluids. Waves propagate through various mediums or through empty space, carrying energy from one location to another.

Waves exhibit several common characteristics, including:

1. Wave Motion: Waves involve the transfer of energy through periodic oscillations or vibrations. The particles or fields involved in the wave motion move back and forth around their equilibrium positions, transmitting the energy along the wave path.

2. Amplitude: The amplitude of a wave represents the maximum displacement or disturbance from the equilibrium position. It corresponds to the intensity or strength of the wave and can be measured as the maximum height, displacement, or value of a wave.

3. Wavelength: The wavelength of a wave is the distance between two consecutive points with the same phase or the distance covered by one complete cycle of the wave. It is commonly represented by the symbol λ and is usually measured in meters or other appropriate units.

4. Frequency: The frequency of a wave refers to the number of complete oscillations or cycles that occur per unit of time. It is denoted by the symbol f and is measured in hertz (Hz). The frequency and wavelength of a wave are inversely related and are related to the speed of the wave through the equation v = fλ, where v represents the wave velocity.

5. Wave Speed: The wave speed represents the rate at which a wave travels through a medium or through empty space. It is the product of the wavelength and the frequency of the wave and is usually denoted by the symbol v. The speed of a wave depends on the properties of the medium through which it travels.

6. Reflection, Refraction, and Diffraction: Waves can undergo interactions with boundaries or obstacles, resulting in phenomena such as reflection (bouncing off a surface), refraction (bending when passing through different mediums), and diffraction (spreading out or bending around obstacles).

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The given statement "spatula-like scoop utensil used to transfer solids." is True. Because, a spatula is a utensil commonly used in cooking and baking to transfer solids, such as food ingredients or mixtures.

It typically has a broad, flat, and flexible blade attached to a handle. The shape of the blade is often curved or rounded, resembling a scoop, which allows for easy lifting, flipping, and transferring of solids. Spatulas come in various sizes and materials, including metal, silicone, or plastic, and they are designed to be heat-resistant and non-stick for versatile use in the kitchen. Whether it's flipping pancakes, transferring cookies from a baking sheet, or scooping batter into a cake pan, a spatula is a useful tool for handling solids.

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Answer:

Thermal energy, or heat, is the energy that comes from the movement of atoms and molecules in a substance. Heat increases when these particles move faster. Geothermal energy is the thermal energy in the earth. Motion energy is energy stored in the movement of objects. so the answer is thermal energy

Answer:

I believe that you are looking for the momentum in Newtons. If so,

Explanation:

35000N

Hope this helps.

(a) The radius of the wheel = 22 ft

The wheel is rotating 13 RPM counterclockwise

Angular speed = angular velocity = ω = 2πf = 2 × π × 13 = 26π rad/min (since 1 rev = 2π radians)

Since 1 min = 60 sec, ω = (26π)/60 rad/sec = 13π/30 rad/sec

The linear speed v of a point on the rim of the wheel is given by v = r × ω = 22 × 13π/30 = 22.82 ft/s

Therefore, w = 13π/30 rad/sec and v = 22.82 ft/sec

(b) The radius of the wheel = 6 inThe wheel is rotating at 30°/sec

The angular speed = ω = 30°/sec × (π/180°) = π/6 rad/sec

The linear speed v of a point on the rim of the wheel is given by v = r × ω = 6 × π/6 = π in/sec

The angular speed in RPM can be calculated as follows:

In 1 min, the angle rotated = 360°No. of seconds in 1 min = 60∴

The angle rotated in 1 sec = 360°/60 = 6° or (π/30) radThe angular speed in rad/sec and the angular speed in RPM is given by w = π/6 rad/sec and w = (30/π) × π/6 = 5 RPM

(c) The radius of the Earth = 3960 milesThe circumference of the Earth = 2 × π × radius = 2 × π × 3960 ≈ 24,902 miles (approx.)

One rotation of the Earth is completed in 24 hours or 24 × 60 × 60 = 86,400 secLinear speed v of a point on the equator of the Earth is given byv = circumference of the Earth/time taken for 1 rotation= 24,902/86,400 ≈ 0.2887 miles/sec

Therefore, v = 0.2887 × 60 × 60 = 1040 miles/hourAngular speed = ω = 2πf = 2π/Twhere T = time taken for 1 rotation of the Earth= 24 hours = 24 × 60 × 60 = 86,400 sec∴ ω = 2π/86,400 rad/sec

Angular speed in RPM can be calculated as follows:In 1 min, the angle rotated = 360°No. of seconds in 1 min = 60∴

The angle rotated in 1 sec = 360°/60 = 6° or (π/30) radThe angle rotated in 24 hours = 360°No. of seconds in 24 hours = 24 × 60 × 60 = 86,400∴

The angle rotated in 1 sec = 360°/86,400 = 1/240° or π/43,200 radThe angular speed in RPM is given by w = (360°/43,200) × 60 = 0.1666 RPM (approx.)

(d) The radius of the tire = 12 inchesThe speed of the car = 75 mphLet the car travel for 1 hour in which the tire makes x revolutions∴

The distance travelled by the car in 1 hour = 75 miles = circumference of the tire × x= 2π × 12 × x inches= 24πx inchesTherefore, 24πx = 75 × 5280 × 12 inches or x = 19600 revolutions∴

The tire makes 19600 revolutions in 1 hour= 19600 × 2π radians= 39200π radians∴ Angular speed = ω = 39200π/3600 = 109.11 rad/sec= (109.11/2π) RPM= 17.36 RPM (approx.)

Therefore, the angular speed in rad/sec is 109.11 rad/sec and the angular speed in RPM is 17.36 RPM.

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Answer:

The 10-meter long rod of an SR-71 airplane expands 0.02 meters (2 centimeters) when plane flies at 3 times the speed of sound.

Explanation:

From Physics we get that expansion of the rod portion is found by this formula:

\(\Delta l = \alpha\cdot l_{o}\cdot (T_{f}-T_{o})\) (Eq. 1)

Where:

\(\Delta l\) - Expansion of the rod portion, measured in meters.

\(\alpha\) - Linear coefficient of expansion for titanium, measured in \(\frac{1}{^{\circ}C}\).

\(l_{o}\) - Initial length of the rod portion, measured in meters.

\(T_{o}\) - Initial temperature of the rod portion, measured in Celsius.

\(T_{f}\) - Final temperature of the rod portion, measured in Celsius.

If we know that \(\alpha = 5\times 10^{-6}\,\frac{1}{^{\circ}C}\), \(l_{o} = 10\,m\), \(T_{o} = 0\,^{\circ}C\) and \(T_{f} = 400\,^{\circ}C\), the expansion experimented by the rod portion is:

\(\Delta l = \left(5\times 10^{-6}\,\frac{1}{^{\circ}C} \right)\cdot (10\,m)\cdot (400\,^{\circ}C-0\,^{\circ}C)\)

\(\Delta l = 0.02\,m\)

The 10-meter long rod of an SR-71 airplane expands 0.02 meters (2 centimeters) when plane flies at 3 times the speed of sound.

The relative velocity of the ball with respect to the deck when the ball is caught is 12.56 m/s.

The formula for determining the distance a body travels is

S = Vit + 0.5at²

Where;

S = Distance covered by the object

V = Initial velocity of the object

t = Time it took for the object to travel a distance

a = Acceleration of the object

From the question,

a = -0.3m/s²

u = 0

h = 8m

Applying the second equation of motion;

v² = u² + 2gh

v = √(0² + 2 × 9.81 × 8)m/s

v = 12.56m/s

Hence, the velocity of the ball when it is caught is 12.56 m/s.

d = vit + 0.5at²

d = 0.5 × 0 × t²

d = 0

Hence, the distance d covered by the boy is 0 m.

Therefore, the relative velocity of the ball concerning the deck when the ball is caught is 12.56 m/s.

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Answer:

1.8m/s2

Explanation:

force=mass x acceleration

so,

acceleration=force /mass

=45/25

=1.8

Answer:

1. v₂ = 12.43 m/s

2. I₁ = - 80 N.s

3. I₂ = 80 N.s

Explanation:

Consider the following data given in the question:

m₁ = mass of the Cart 1 = 16 kg

m₂ = mass of the Cart 2 = 7 kg

u₁ = velocity of cart 1 before collision = 4 m/s

u₂ = velocity of cart 2 before collision = 1 m/s

v₁ = velocity of cart 1 after collision = - 1 m/s

v₂ = velocity of cart 2 after collision = ?

1.

Applying the law of conservation of momentum:

\(m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2}\\(16\ kg)(4\ m/s)+(7\ kg)(1\ m/s)=(16\ kg)(-1\ m/s)+(7\ kg)(v_{2})\\v_{2} = \frac{87\ kg.m/s}{7\ kg}\)

v₂ = 12.43 m/s

2.

Impulse of cart 1 = I₁ = m₁(v₁ - u₁)

I₁ = (16 kg)(- 1 m/s - 4 m/s)

I₁ = - 80 N.s

3.

Impulse of cart 2 = I₂ = m₂(v₂ - u₂)

I₂ = (7 kg)(12.43 m/s - 1 m/s)

I₂ = 80 N.s

Answer:

436.56 centimeters

Explanation:

heart this! My answer is correct, I search it.

The dimensions in the equation are consistent.

Equation of motion, is a mathematical formula that describes the position, velocity, or acceleration of a body relative to a given frame of reference.

x = at²

where;

x (m) = a(m/s²) x t²(s²)

multiple m/s² with s² = m

x(m) = at²(m)

Thus, the dimensions in the equation are consistent.

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As the capacitance is increased in a capacitor connected across an AC source, the current through the capacitor will decrease.

In an AC circuit, the behavior of a capacitor is determined by its reactance, which is the opposition to the flow of alternating current. The reactance of a capacitor is inversely proportional to its capacitance (Xc = 1 / (2πfC), where Xc is the capacitive reactance, f is the frequency, and C is the capacitance).

When the capacitance is increased, the capacitive reactance decreases. According to Ohm's Law in AC circuits (I = V / Xc), a decrease in reactance results in an increase in current. Conversely, as the reactance increases, the current decreases. Therefore, as the capacitance in a capacitor connected to an AC source is increased, the current through the capacitor will decrease.

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The horizontal velocity of the projectile it leaves the launcher is 0.283 m/s.

The horizontal speed of a projectile is regular, and there's a vertical acceleration because of gravity; its cost is 9.8 m/s/s, down, The vertical speed of a projectile changes via nine.8 m/s every second, The horizontal motion of a projectile is impartial to its vertical movement.

Projectile motion is a form of motion experienced with the aid of an object or particle that is projected in a gravitational field, such as from Earth's floor, and movements alongside a curved route below the action of gravity best.

Projectile motion is the movement of an object thrown (projected) into the air. After the initial force that launches the item, it most effectively reports the pressure of gravity. The object is known as a projectile, and its route is called its trajectory.

Calculation:-

Horizontal distance = 40 cm

                          = 0.4 m

height of table = 10 m

Let vertical velocity is 0.

S = ut +1/2 at²

10 = 0 + 0.5 × 10 t²

t² = 10/5

t    = 1.414 sec.

At the same time, it will take to cover a horizontal distance of 0.4 m.

Velocity = distance/time

                = 0.4/1,414

                  = 0.283 m/s

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To determine the minimum angular velocity (w_min) required to keep the person from slipping downward, we need to consider the balance between the gravitational force pulling the person downward and the static friction force acting between the person and the wall.

The gravitational force pulling the person downward can be calculated as the product of their mass (m) and the acceleration due to gravity (g):

F_gravity = m * g

The static friction force acting between the person and the wall opposes the downward motion and prevents slipping. The maximum static friction force (F_friction) can be calculated using the coefficient of static friction (μ_s) and the normal force (N) exerted by the wall on the person. In this case, the normal force is equal to the gravitational force:

N = F_gravity

F_friction = μ_s * N

Since the person is held up against the wall, the maximum static friction force must be equal to the centripetal force required to keep the person moving in a circular path. The centripetal force (F_centripetal) can be calculated as the product of the person's mass and the centripetal acceleration (a_centripetal), which is equal to r * w^2, where r is the radius of the cylinder and w is the angular velocity:

F_centripetal = m * r * w^2

Setting the maximum static friction force equal to the centripetal force:

F_friction = F_centripetal

μ_s * N = m * r * w^2

Substituting N = F_gravity:

μ_s * m * g = m * r * w^2

Simplifying the equation:

μ_s * g = r * w^2

Solving for w:

w^2 = (μ_s * g) / r

w = √[(μ_s * g) / r]

Substituting the given values:

w = √[(0.78 * 9.8) / 6.82] rad/s

w ≈ 2.67 rad/s (rounded to two decimal places)

Therefore, the minimum angular velocity (w_min) needed to keep the person from slipping downward is approximately 2.67 rad/s.

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The main and basic action of any single muscle that would have on a body would be the fact that it would contain "contraction" to which your muscle would practically contract each other, which would then give to power to force, push, push, and to make work, and also, to move.

PLEASE MARK ME AS BRAINLIEST

Answer:

The person above is correct, The Answer is "CONTRATION" just verified it by ap.ex ;)

Explanation:

Answer:

1. 7

2. Mass

3. (b) Distance

4. (b) Force

5. (a) ML⁻¹T⁻²

6. (c) M⁻¹LT²

7. (c) M⁻¹L³T⁻²

8. (c) Pressure

9. (c) Young's modulus

10. (b) zero

11. (c) Infinite

12. (d) 1:4

13. (b) 0.6 J

14. (c) 45 N

15. (a) 0.4 cc

16. (a) 176.7 °F

17. (a) 10°C

18. (c) 50 K

19. b. H

Explanation:

15. Whereby the compressibility = 4 × 10⁻⁵ Pa⁻¹

The compression ratio for 100 Pa = 4 × 10⁻⁵ × 100 = 4 × 10⁻³

The Change for 100 cc = 4 × 10⁻³ × 100 cc = 0.4cc

Explanation:

SO2 is the best answer

please give brainliest and helpful

Answer: SO2

Explanation:

When the Earth is at point C, Equinox happens.

In Equinox, the Sun is directly above the equitor making day and night equal in both hemispheres.

The acceleration due to gravity on another planet is multiplied by your mass to calculate your weight on that planet. The acceleration due to gravity is different on each planet, so your weight will also be different. For example, the acceleration due to gravity on Earth is 9.8 m/s², while the acceleration due to gravity on Mars is 3.711 m/s². This means that if you weigh 100 pounds on Earth, you would weigh only 37.11 pounds on Mars.

The formula for calculating your weight on another planet is:

Weight = Mass * Acceleration due to gravity

For example, if you weigh 100 pounds on Earth and you want to calculate your weight on Mars, you would use the following formula:

Weight on Mars = 100 pounds * 3.711 m/s²

Weight on Mars = 371.1 pounds

Therefore, your weight on Mars would be 371.1 pounds.

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The frequency of the wave is f = 386.7 Hz, the wavelength of the wave is λ = 0.06 m, ym = 0.09 m, k = 104.72 kg/s², ω = 25.82 s⁻¹, the sign in front of ω is negative, and the tension in the string is T = 2.66 N.

Speed of wave = v = 23.3 cm/s

Displacement of particles = y = (9 cm) sin[1.8 - (7s-1) t]

Linear density of string = µ = 5 g/cm.

The frequency and wavelength of the wave is as follows,Formula used:

v = f λ

Where v is the velocity, f is the frequency, and λ is the wavelength.f

= v/λ

(a) Frequency of the wave,f = v / λ = 23.3 cm/s / λ [Hz]-----(1) Here λ is the wavelength.

(b) Wavelength of the wave: The equation of the wave is y(x,t) = ym sin (kx - ωt).

Given displacement of the particle = y = ym sin(kx - ωt)

We have y = 9 cm, k = 2π/λ, and ω = 2πf, Here, we will convert cm/s to m/s.

Therefore, v = 23.3 cm/s = 0.233 m/s.

Thus the wave equation in this case will be:

y(x,t) = (9 cm) sin[2π(6 cm/λ) - (2πf)t]

Convert 9 cm to meters.ym = 0.09 m  and 6 cm = 0.06 m.----(2)

Here, we will get the expression for k using the formula k = 2π/λ.k = 2π/λ= 2π/0.06 m(kg/s²)----(3)

Similarly, we will get the expression for ω.ω = 2πf

= 2πv/λ

= (2π × 0.233 m/s) / 0.06 m

ω = 25.82 s⁻¹

Now we need to determine the sign in front of ω. As y = ym sin(kx - ωt),y = ym sin(kx + ωt) (positive sign) or y = ym sin(kx - ωt) (negative sign) Here we need to choose the negative sign, since the wave is traveling in the positive x-direction, but the particles are displaced in the negative y-direction. Thus, the wave is inverted.

Finally, the values of (ym, k, and ω) are:(c) ym = 0.09 m(d) k = 2π/0.06 m(kg/s²) (e) ω = 25.82 s⁻¹(f) - sign(g)

Tension in the string: We know that the velocity of the wave is given by v = √(T/µ). Here, T is the tension in the string and µ is the linear mass density of the string. Therefore, the tension in the string is given by:

T = µv²

T = (5 g/cm) × (23.3 cm/s)²

T = 2.66 N

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To complete the energy crossword puzzle, fix the meanings with the relevant definitions provided. For instance,

2. The four sources of all energy are Electricity, renewables, fossils, and nuclear power.

4. It is impossible for any machine to be 100% efficient

5. The name sometimes given to the sum of potential and kinetic energy is Mechanical energy.

To fill a crossword puzzle, you have to follow the clues provided in the text. For example, the first clue shows that the word or words for box 2 are or are related to the four sources of all energy.

Also, the word in the 4th box will be impossible because it is impossible for any machine to be 100% efficient.

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Answer:

The heat necessary to warm 500g of water from 20°C to 65°C is 37,620 J.

Explanation:

GIVEN: m = 500 gm, T₂ = 65°C AND T₁  = 20°C, we know that c (specific heat capacity) = 4180

TO FIND: The heat necessary to warm 500g of water from 20°C to 65°C.

SOLUTION:

By using the heat equation,

              Q=m c ΔT  

             ΔT = T₂ - T1

             ΔT = 65 - 20 = 45°C

In this case,

Q = 0.2 × 4180 × 45 = 37,620 J

The sign of the work done by a force depends on the angle between the force vector and the displacement vector of the object on which the force is acting.

If the force and displacement vectors are in the same direction (angle of 0 degrees), the work done by the force is positive. This means that the force is doing positive work, adding energy to the system.

If the force and displacement vectors are in opposite directions (angle of 180 degrees), the work done by the force is negative. This means that the force is doing negative work, removing energy from the system.

If the force and displacement vectors are perpendicular (angle of 90 degrees), the work done by the force is zero. This means that the force is not contributing or removing any energy from the system.

In summary, the sign of the work done by a force can be positive, negative, or zero depending on the angle between the force and displacement vectors.

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