if the angle of refraction θ2 is smaller than the angle of incidence θ1, then how are n2 and n1 related?

Since the rock has a velocity of 3.5m/s at 40.0°, it will take the rock 0.46 s to hit the water again.

Since the rock is a projectile, we use the time of flight of a projectile to find the time it hits the water again

The time of flight of the rock is given by T = 2UsinФ/g where

Substituting the values of the variables into the equation, we have

T = 2UsinФ/g

T = 2 × 3.5 m/s × sin40.0°/9.8 m/s².

T = 7.0 m/s × 0.6428/9.8 m/s².

T = 4.4995 m/s ÷ 9.8 m/s²

T = 0.459 s

T ≅ 0.46 s

So, it will take the rock 0.46 s to hit the water again.

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Explanation:

\(p1 \times v1 = p2 \times v2 \)

\(p1 = initial \: pressure \\ v1 = initial \: volume \\ p2 = final \: pressure \\ v2 = final \: volume\)

You're looking for p2. So, divide both sides by v2...

\( \frac{p1 \times v1}{v2} = p2\)

volume of a cylinder is

\(h \times \pi \: \times {r}^{2} \)

let's assume r = 1

\( \frac{p1 \times (20cm \times \pi)}{(60cm \times \pi)} = p2\)

the Pi's cancel out, the 20/60 can be reduced to 1/3.

So you end up with

\(p1 \times \frac{1}{3} = p2\)

or as the book shows....

\( \frac{1}{3} p\)

Answer:

1 and 5

Explanation:

Kinetic energy is the energy that an object possesses due to its motion. Since the pendulum has 0 velocity at points 1 and 5, and it is at those points that the pendulum is furthest from its equilibrium position, we say that it has no kinetic energy and maximum potential energy.

(a) The location of the final image beyond the converging lens is 12.67 cm.

(b) The magnification of the final image is -0.82, indicating that it is inverted with respect to the object.

To find the location of the final image, we can use the lens formula for thin lenses, which is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

For the diverging lens, u = -27 cm (since the object is in front of the lens), and f = -17 cm (negative for diverging lens). Using the lens formula, we find v1 = -153 cm.

For the converging lens, the object distance is -11 cm (since it is behind the diverging lens), and f = 17 cm. Using the lens formula again, we find v2 = 12.67 cm.

The magnification of the final image can be calculated using the formula magnification = v2/v1, which gives us -0.82. The negative sign indicates that the image is inverted with respect to the object.

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Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

Explanation:

hope this helps a little bit sorry if i got it wrong

The value of the mean of all values of d (Hd) is -0.04.

As per data the following temperatures,

Temperature (°F) at 8 AM 98.3

Temperature (°F) at 12 AM 99.1 98.8 99.2 97.1 97.4 97.8 97.2

Temperature (F) at 8 AM 99.3 98.8 97.6 97.7 97.1

Temperature (°F) at 12 AM 99.1 99.2 97.8 972 97.4

Let the temperature at 8 AM be the first sample, and the temperature at 12 AM be the second sample. Then,

d = x₂ - x₁

Now, we need to find the values of d for all five subjects.

Therefore, d is as follows:

d₁ = 99.3 - 99.1

   = 0.2

d₂ = 98.8 - 99.2

    = -0.4

d₃ = 97.6 - 97.8

    = -0.2

d₄ = 97.7 - 97.2

   = 0.5

d₅ = 97.1 - 97.4

    = -0.3

In general, Hd represents the mean of all values of d.

Thus, the value of Hd is:

Hd = (0.2 + -0.4 + -0.2 + 0.5 + -0.3) / 5

     = -0.04

Thus, the value of Hd is -0.04.

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The substance that could exhibit a wavelength of 390.0 nm and a frequency of 5.65 × 10^14 Hz is Sodium (Na) vapor.

According to Table 26.1, Sodium vapor has an absorption line with a wavelength of approximately 589 nm. To determine the substance based on the given wavelength and frequency, we can apply the formula v = c/λ, where v is the frequency, c is the speed of light, and λ is the wavelength.

Rearranging the formula to solve for wavelength, we have λ = c/v. Plugging in the values, we get λ = (3.00 × 10^8 m/s) / (5.65 × 10^14 Hz) ≈ 5.31 × 10^-7 m or 531 nm. Since the given wavelength (390.0 nm) is significantly shorter, it indicates that the light is being absorbed by the Sodium vapor, resulting in the observed absorption line at 589 nm.

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The resultant velocity of the aircraft is determined as 155.24 km/h.

The resultant velocity or any vector is the single vector or velocity that will produce the same effect as both vectors or velocities combined.

Mathematically, the formula for resultant velocity is given as;

Vr² = Va² + Vb²

where;

Vr = √(Va² + Vb²)

Vr = √(150² + 40²)

Vr = 155.24 km/h

Thus, we can conclude that the resultant velocity of the aircraft will be greater than the initial velocity of the aircraft due to effect of the speed of wind.

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Answer:

3.9kg

Explanation:

From newton's second law of motion

F =ma

a = 10m/s^2

F=39N

a= F/m

a= 39/10

a= 3.9m/s^2

Answer:

the answer will be D

Explanation:

Electromagnetic radiation can be modeled as both a wave and a particle because it can exhibit both light and wave properties.

Wave-particle duality is a property of matter that explains the behavior of matter as a particle and as a wave.

Electromagnetic radiation can be modeled as both a wave and a particle because it can transfer energy during its propagation and can also be reflected as light.

In summary, electromagnetic radiation can exhibit both light and wave properties.

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Answer:

Electromagnetic radiation can be modeled as both a wave and a particle because it can exhibit both light and wave properties.

Explanation:

Answer:

The distance between two successive crests of a wave is one way to define its wavelength, so

λ

=

1.15

m

.

The frequency of a wave is the number of waves passing a given point per second, so

f

=

20

16.2

=

1.23

Hz

.

The speed of a wave is given* as

v

=

λ

f

, so here

v

=

1.15

⋅

1.23

=

1.42

m/s

~~~~

*This is because the wavelength is the "distance per wave" and the frequency is the "number of waves per second," so multiplying the two gives "distance per second." This can be verified with dimensional analysis:

meters

wave

×

waves

second

=

meters

second

Answer:

Ei = 40J

Explanation:

Given the following data;

Efficiency = 50%

Energy output, Eo = 20 J

To find the amount of energy used by the mixer:

Efficiency = Eo/Ei * 100

Where;

Eo is the output energy.

Ei is the input energy.

Substituting into the formula, we have;

50 = 20/Ei * 100

Cross-multiplying, we have;

50Ei = 2000

Ei = 2000/50

Ei = 40J

For the given problem, we have been given the distance travelled by velocity the raft (d) as 80 feet and the time taken by the raft (t) to travel the given distance is 10 seconds.

We can calculate the velocity of the river by dividing the distance covered by time taken, so the flow velocity is calculated as:v = d/t = 80/10 = 8 ft/sec Now, moving onto the second question, for the given problem, we have been given the diameter of the pipe (d) as 4 feet, and the flow velocity (v) of the water as 5 ft/sec. We can calculate the flow rate using the following formula for the area of a circle: A = πr²where the radius of the pipe is equal to half of the diameter, so r = d/2 = 4/2 = 2 feet Using the formula for the area of a circle, we get: A = πr² = π(2)² = 4π ft²Now we can use the formula for flow rate Q:Q = A × vQ = (4π ft²) × (5 ft/sec)Q = 20π/3 ≈ 20.94 ft³/sec So, the flow rate of the water in the pipe is approximately 20.94 ft³/sec.

The given problem consists of two sub-problems. In the first sub-problem, we have been given the distance travelled by the raft (d) as 80 feet and the time taken by the raft (t) to travel the given distance is 10 seconds. We can calculate the velocity of the river by dividing the distance covered by time taken, so the flow velocity is calculated as:v = d/t = 80/10 = 8 ft/sec For the second sub-problem, we have been given the diameter of the pipe (d) as 4 feet, and the flow velocity (v) of the water as 5 ft/sec.

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Acceleration is equal to velocity (meter/sec)/time (sec). Therefore, (meter/sec)/sec = (meter/sec)/sec is the unit of acceleration. 1200N.

If the elevator is stationary or traveling at a constant speed, N = mg. If the elevator accelerates upward, N = mg + ma. If the elevator has a downward acceleration, N = mg - ma. The perceived weight of the person is greater than the actual weight if the elevator is ascending quickly. if the elevator is descending more quickly.

Acceleration on a ramp is equal to the product of gravitational acceleration and the height-to-length ratio of the ramp. Acceleration on a ramp is equal to gravity acceleration times the sine of the ramp angle.

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Answer:

Linear

Explanation:

The slope is constant.

Answer:

A. Linear

Explanation:

hope I help you

Answer:

a. 0.8 cm

Explanation:

The distance of the object from the lens, u = 1 cm

The magnification of the lens, m = 5

The focus of a lens formula is given as follows;

\(f = \dfrac{1}{\dfrac{1}{v} + \dfrac{1}{v} }\)

The magnification of the lens, m = -v/u

Where;

v = The distance of the image from the lens

Therefore, we have;

v = m × u

∴ v = 5 × 1 cm = 5 cm (on the other side of the lens)

From which we get;

\(f = \dfrac{1}{\dfrac{1}{1} + \dfrac{1}{5} } = \dfrac{5}{6} \approx 0.8\)

The focal length ≈ 0.8 cm

Answer:

Let x = A cos ω t      when ω t = 0, x = A = .1 m

x = .1 cos ω t

cos ω t = .06 / .1 = .6       when x = .06

ω t = 53.1 deg        at a displacement of .06

v = -ω A sin ω t      speed of particle

ω = (k / m)^1/2 = (800/2)^1/2 = 20

v = 20/s * .1 m sin 53.1 = 1.60 m/s

Answer:

The main advantage of an electromagnet over a permanent magnet is that the magnetic field can be quickly changed by controlling the amount of electric current in the winding. However, unlike a permanent magnet that needs no power, an electromagnet requires a continuous supply of current to maintain the magnetic field.

Explanation:

Answer: The waves are compressed as the item moves closer to you, so their wavelength is shorter.

Explanation:

In quantum mechanics, a node (nodal surface or plane) is the region or surface where the wave function of a particle or system of particles equals zero. It represents a point of zero probability density for finding the particle at that specific location.

Nodes are significant because they define the spatial distribution and behavior of the wave function. The number and arrangement of nodes determine the energy levels and shapes of atomic orbitals, as well as the allowed electron configurations and properties of molecules

For example, in the case of atomic orbitals, the wave functions describe the probability distribution of finding an electron in a specific region around the atomic nucleus. The nodes in these wave functions create distinct regions of zero electron density, which contribute to the overall shape and characteristics of the orbitals.

Nodes play a fundamental role in understanding the wave nature of particles and the quantum mechanical behavior of systems. They provide insights into the spatial distribution and behavior of wave functions, allowing us to predict and explain various properties and phenomena in the quantum realm.

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A sample of a gas is compressible; i.e., its volume can be significantly decreased because the particles in the gas phase are separated by relatively large distances.

A gas is a substance that has no constant size or form. Whilst inside a closed container, gasoline will amplify to fill the field. An instance of gas is the air you breathe. The gas interior of your digestive tract is fabricated from the air and different gases.

Traits of Gases :

* Gases have neither definite shape nor particular volume. They expand to the dimensions of their container.

* Gases are fluid and go with the flow effortlessly.

* Gases have low density, except compressed.

* Gases diffuse (mix and unfold out) and effuse (tour thru small holes).

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An inflated basketball is left outside on a hot day, causing the temperature of the gas to increase. Option D. The pressure of the gas increases, and the volume of the gas increases would happen to the gas inside of the basketball.

Where P stands for pressure, V is volume, N is the number of molecules in the sample, k is Boltzmann's constant, and T is absolute temperature typically expressed in kelvins.

The pressure on a system will increase by increasing the temperature, decreasing the volume, and pumping more gas.'

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The energy levels of a hydrogen atom are given by the equation E = -13.6 eV / n^2, where E is the energy, n is the principal quantum number, and -13.6 eV is the ionization energy of hydrogen.

For the 5th energy level (n = 5), we can calculate the radius of the electron's orbit using the Bohr radius formula:

r = (0.529 Å) * n^2 / Z,

where r is the radius, n is the principal quantum number, and Z is the atomic number (which is 1 for hydrogen).

Converting the Bohr radius from angstroms (Å) to nanometers (nm), we have:

r = (0.529 Å) * (5^2) / 1 = 2.645 Å.

To express the radius in nanometers, we convert the answer from angstroms to nanometers:

r = 2.645 Å * (0.1 nm/Å) = 0.2645 nm.

Therefore, the electron in the 5th energy level of a hydrogen atom orbits the nucleus at a radius of approximately 0.2645 nm.

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To establish mechanical equilibrium, the fulcrum must be placed 3.27 m away from the 250 N weight.

The position of the fulcrum from the 250 N weight is determined by applying the principle of moment as shown below.

let the position of the fulcrum = d

The position of the 250 N from the fulcrum must be greater than the center of the beam since 300 N is heavier than 250 N.

----------------------------------Δ--------------------------------

↓                                     d                                      ↓

250 N                                                                    300 N    

the position of the 250 N weight from the fulcrum = d

the position of the 300 N weight from the fulcrum = 6 m - d

take moment about the pivot;

sum of the antic lock wise moment = sum of the clockwise moment

250 ( d ) = 300 ( 6 - d )

250d = 1,800 - 300d

550d = 1,800

d = 1,800 / 550

d = 3.27 m                              

Thus, the position of the fulcrum from 250 N depends on the length of the beam and the weight hanging at the other end.

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Answer:

it is A

Explanation:

because energy can neither be created nor destroyed - only converted from one form of energy to another.

Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.

I hope this helps!