What wavelength of light would have the same energy as the kinetic energy of an electron (mass 9.11×10 an −31 kg, charge 1.602×10 n−19C ) tr aveling at 2×10 M 6 m/s ? a. 109 nm b. 3.34×10415 m c. 1.82×10 4−18 m d. 5.95×10^4−11 m QUESTION 18 How much energy is required to bring a hydrogen atom in the ground state to the fourth excited state? a. 12.75eV b. 10.2eV c12.1eV d. 13.1eV What are the allowable angular momentum quantum numbers for an atom in the n=1 state? Select all that apply. a.-2 b c. 0 d. 1 e. 2 QUESTION 20 A radioactive substance is measured to have a half-life of 87 minutes. What fraction of an initially pure sample would be left after 3 hours? a. 384 b. 0.715 c. 0.238 d. 0.5

Answer:

As = 7.33 [m/s]

Explanation:

To solve this problem we must use the definition of the average speed, which is equal to the relationship between the distance over time.

As = x/t

where:

As = average speed [m/s]

x = distance = 132 [m]

t = time = 18 [s]

As = 132/18

As = 7.33 [m/s]

Answer:

velocity term

Explanation:

Answer:velocity term

Explanation:

Answer:

B

Explanation:

Explanation:

Work done by torque = magnitude of force * perpendicular distance between the point of action and point(axis) of rotation.

Answer:

Work done by torque = magnitude of force * perpendicular distance between the point of action and point(axis) of rotation.

Explanation:

We can also write this as :-

W = F x d

where,

W->Work Done

F->Force

d->displacement

Answer:

B

Explanation:

Answer:

B

Explanation:

In this experiment, time represents the variable that is independent and graphed on the horizontal axis.

The period of the pendulum does not depend on the mass of the sphere, only on the length of the chord. Two pendulums with different masses but the same length have the same period. Two pendulums of different lengths have different periods with the pendulum with the longer string having a longer period.

For small deflections of less than 15 degrees, the pendulum experiences simple harmonic oscillations. This means that its restoring force is directly proportional to its deflection. A simple pendulum is called a simple pendulum. The longer the pendulum is, the longer it will take to travel the distance it swings from side to side. The period of a pendulum is the time it takes for the weight to swing and return to its original position so it means a longer period.

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Answer:

he is the first person can be 3in and a 6man is the best not a man of the hartford

Explanation:

the answerer is visible

Genetic material is known to absorb UV light. Given what we know, we can confirm that genetic material is not known to absorb light originating from an infrared or microwave radio source.

Genetic material is the hereditary substance in the cell. It carries all information specific to an organism. It is known as DNA (deoxyribonucleic acid) or RNA (ribonucleic acid)

UV light is electromagnetic radiation, and the primary source of UV light that we are exposed to is the sun.

Therefore, given that the only form of light listed that genetic material is known to absorb is that of Ultraviolet or UV light, we can confirm that the answer to the question proposed is infrared and microwave radio light.

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Given

A massive light hangs over the table in Jeremy's dining room. The light is supported by four strong chains which make an angle of 72° with the horizontal.

The force in each chain is F=36.4 N.

To find

The mass of the light in kg

Explanation

Let the mass of the light be m

The weight of the light acts downwards.

To balance thisi force the force on the string vertically upward is considered

In equillibrium

Conclusion

The mass of the light is 13.84 kg

Answer:

35%

Explanation:

Answer:

its 83

Explanation:

The resistance of the wire is 0.11 Ω.

To calculate the resistance of the wire, we need to use Ohm's law, which states that resistance (R) is equal to the product of the material's resistivity (ρ), its length (l), and the inverse of its cross-sectional area (A). In formulaic terms, this is represented as:

R = ρ * l / A

Given the values provided in the question, we can plug them into the formula to obtain the resistance of the wire:

R = (1.76 × 10^-8) * 2 / ((π/4) * (0.002)^2)

Simplifying this expression, we get:

R = 0.11 Ω

The resistivity of a material is a measure of how much it opposes the flow of electric current through it. It is an intrinsic property of the material and depends on its composition and structure. The higher the resistivity, the more difficult it is for current to flow through the material. In contrast, materials with lower resistivity offer less opposition to current flow.

In this case, we were given the resistivity of the wire's material and used it, along with its length and cross-sectional area, to calculate its resistance. The resistance of a wire determines how much current will flow through it for a given voltage. Therefore, by knowing the resistance, we can predict the behavior of the wire in an electrical circuit.

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Answer:

acceleration = - 150 m/s^2

distance = 9 miles.

Explanation:

initial speed, u = 60 mph

time, t = 12minutes = 0.2 hour

final speed, v = 30 mph

Let the acceleration is a and the distance is s.

By the first equation of motion

v = u + at

30 = 60 + a x 0.2

a = - 150 m/s^2

Let the distance is s.

Use third equation of motion is

\(v^2 = u^2 + 2 a s \\\\30^2 = 60^2 + 2 \times 150\times s\\\\s = 9 miles\)

a)The aperture size of the radio telescope needs to be approximately 0.27 meters b)The aperture of a radio telescope needs to be much larger than that of an optical telescope because radio waves have much longer wavelengths compared to visible light. c)the resolving power of a telescope depends on the ratio of the wavelength of light.

a. To determine the aperture size of a radio telescope to achieve a resolution at 21 cm, we can use the Rayleigh criterion, which states that the minimum resolvable separation (δθ) is given by:

δθ = 1.22 * (λ / D)

Where λ is the wavelength of the radiation and D is the diameter of the telescope's aperture.

Given that the radio wavelength is 21 cm (or 0.21 m), and we want to achieve the same resolution as the optical telescope (1 second of arc), we can rearrange the formula to solve for D:

D = 1.22 * (λ / δθ)

D = 1.22 * (0.21 m / 1 second of arc)

Calculating the result:

D ≈ 0.27 m

Therefore, the aperture size of the radio telescope needs to be approximately 0.27 meters to achieve a resolution of 1 second of arc at a wavelength of 21 cm.

b. The Rayleigh criterion tells us that the resolution of an instrument is inversely proportional to the wavelength.

Since radio waves have longer wavelengths, the telescope's aperture needs to be larger to achieve the same resolution as an optical telescope. This is because a larger aperture collects more incoming waves and allows for finer spatial detail to be resolved.

c. The ability to resolve two objects using a telescope depends on the size of the aperture relative to the wavelength of the radiation. When it comes to resolving stars, the resolving power of a telescope depends on the ratio of the wavelength of light to the size of the telescope's aperture (λ/D).

Blue light has a shorter wavelength compared to red light. Since the resolving power is directly proportional to the wavelength, a shorter wavelength of blue light allows for better resolution.

Therefore, two predominantly blue stars can be resolved because their shorter wavelength allows for finer detail to be distinguished, while the same separation between two predominantly red stars cannot be resolved due to the longer wavelength.

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The speed of the water flow through the hole in the figure is 2.97 m/s.

The speed of the water flow through the hole in the figure is calculated by applying the principle of conservation of energy as shown below.

change in kinetic energy = change in potential

ΔK.E = ΔP.E

where;

¹/₂mv² - ¹/₂mu² = mgh₁ - mgh₂

where;

¹/₂m(v² -u²) = mg(h₁ -h₂)

¹/₂(v² -u²) = g(h₁ -h₂)

¹/₂(v² -0) = g(h₁ -h₂)

v² = 2g(h₁ -h₂)

v = √(2g(h₁ -h₂))

v = √(2 x 9.8(0.5 - 0.05))

v = 2.97 m/s

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As a result, the rollercoaster car's mechanical energy required to make a high turn is 123,000 J

The total of an object's kinetic and potential energy is its mechanical energy. In this instance, the rollercoaster vehicle possesses 23,000 J of kinetic energy and 100,000 J of gravitational potential energy (GPE) (KE).

We can simply combine the GPE and KE to determine the mechanical energy:

GPE plus KE equal mechanical energy.

Mechanical energy equals 100,000 plus 23,000 joules.

123,00 J of mechanical energy

As a result, the rollercoaster car's mechanical energy required to make a high turn is 123,000 J. As a result, the system's entire energy is saved, and the rollercoaster vehicle will continue to drive through the high turn with this total energy.

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Answer:

The acceleration of the car is 4.10 m/s².

Explanation:

The acceleration of the car can be found using the following equation:

\( F = ma \)    (1)

Where:

F is the force

m is the mass

a is the acceleration

The force is:

\(F = F_{p} - F_{f}\)   (2)

Where:

F(p) is the parallel force = 560 N

F(f) is the force of friction = 45 N

By entering equation (2) into (1) we have:

\(F_{p} - F_{f} = (m_{c} + m_{p}*2)a\)

\( 560 N - 45 N = (2000 kg + 55*2 kg)a \)

\( a = \frac{2000 kg + 55*2 kg}{515 N} = 4.10 m/s^{2} \)

Therefore, the acceleration of the car is 4.10 m/s².

I hope it helps you!

Answer:

2.54 m/s

Explanation:

By conservation of energy,

work done by force due to hand = mechanical energy gained by yo-yo

So Fd = mgh + 1/2m(v₂² - v₁²)

where F = force on string = 0.19 N, d = distance moved by hand = 0.12 m, m = mass of yo-yo = 0.058 kg, g = acceleration due to gravity = 9.8 m/s², h = distance moved by yo-yo = 0.30 m, v₁ = initial speed of yo-yo = 3.4 m/s and v₂ = final speed of yo-yo = unknown

So,  Fd = mgh + 1/2m(v₂² - v₁²)

Fd/m = gh + 1/2(v₂² - v₁²)

Fd/m - gh = 1/2(v₂² - v₁²)

2(Fd/m - gh) = (v₂² - v₁²)

(v₂² - v₁²) = 2(Fd/m - gh)

v₂²  = v₁² + 2(Fd/m - gh)

taking square-root of both sides, we have

v₂  = √[v₁² + 2(Fd/m - gh)]

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

v₂  = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]

v₂  = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]

v₂  = √[(3.4 m/s)² + 2(0.0228 Nm/0.058 kg - 9.8 m/s² × 0.30 m)]

v₂  = √[(3.4 m/s)² + 2(0.393 Nm/kg - 2.94 m²/s²)]

v₂  = √[(3.4 m/s)² + 2(-2.547 m²/s²)]

v₂  = √[11.56 m²/s² - 5.094 m²/s²)]

v₂  = √[6.466 m²/s²]

v₂ = 2.54 m/s

Answer:

Velocity = 6.89 m/s

Explanation:

The equation for momentum: \(Momentum=(Mass)(Velocity)\)

Substitute the given information into the equation and solve for velocity.

\(239.5=34.75(Velocity)\\\frac{239.5}{34.75}=\frac{34.75(Velocity)}{34.75\\}\\6.89=Velocity\)

(a) the energy in joules of an x-ray photon with wavelength 3.30 ✕ 10−10 m is 6.03 x 10^-16 J.

(b) Convert the energy to electron volts = 3.75 keV

(c) If more penetrating x-rays are desired, should the wavelength be increased or decreased?  decreased

(d) Should the frequency be increased or decreased?   increased

(a) The energy in joules of an x-ray photon with wavelength of 3.30 x 10^-10 m can be calculated using the Planck's equation:

Planck's equation is given by:

E = hf

Where, E = Energy of a photon in Joules h = Planck's constant f = Frequency of the electromagnetic radiation λ = Wavelength of the electromagnetic radiation

Since the question provides the wavelength, we need to calculate the frequency of the electromagnetic radiation.

h = 6.626 x 10^-34 Js, and λ = 3.30 x 10^-10 m

Thus, f = c/λ, where c is the speed of light and is given by c = 3.0 x 10^8 m/s.

Therefore, f = 3 x 10^8/3.30 x 10^-10 = 9.09 x 10^17 Hz

Now, we can calculate the energy of the x-ray photon using Planck's equation.

E = hf = 6.626 x 10^-34 J s × 9.09 × 10^17 Hz= 6.03 x 10^-16 J

Therefore, the energy of the x-ray photon is 6.03 x 10^-16 J.

(b) The energy can be converted to electron volts using the equation:

1 eV = 1.602 x 10^-19 J

Thus, 6.03 x 10^-16 J = 6.03 x 10^-16 / (1.602 x 10^-19) eV = 3753 eV ≈ 3.75 keV

Therefore, the energy of the x-ray photon is approximately 3.75 keV.

(c) If more penetrating x-rays are desired, the wavelength should be decreased. This is because the energy of the x-ray photon is inversely proportional to the wavelength. As the wavelength decreases, the energy of the x-ray photon increases. This means that shorter wavelength x-rays are more energetic and can penetrate more deeply into materials.

(d) The frequency should be increased. This is because the energy of the x-ray photon is directly proportional to the frequency. As the frequency increases, the energy of the x-ray photon increases. Therefore, x-rays with higher frequencies are more energetic and can penetrate more deeply into materials.

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The planetary properties that are measurable with current extrasolar planet detection includes:

Mass

Radius

Orbital Period

Orbital Eccentricity

Atmospheric Composition

The mass of an exoplanet can be determined through various techniques such as radial velocity measurements, transit timing variations, or astrometry.

On the other hand, the radius of an exoplanet can be estimated from transit observations that  measure the decrease in brightness of the host star as the planet passes in front of it.

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Answer:

circular motion

Explanation:

As a motorcycle takes a sharp turn, the type of motion that occurs is called circular motion.

Circular motion is a movement of an object along a circular path. As this motorcycle makes the sharp turn, it is acted upon by a centripetal force which directs the motorcycle towards the center.

Therefore, circular motion is the correct answer to the question.

Answer:

Circular Motion

Answer:

Recycled answer from jaskhanna07343

Explanation:

Water does not wet waxed surfaces because the cohesive forces within the drops are stronger than the adhesive forces between the drops and the wax. Water wets glass and spreads out on it because the adhesive forces between the liquid and the glass are stronger than the cohesive forces within the water

The notch sensitivity and fatigue stress concentration factors for the bar are calculated to determine the mean and alternating stresses and find the fatigue strength for different cycles.

To calculate the notch sensitivity and fatigue stress concentration factors, we need to consider the presence of the 10 mm hole in the center of the 30 mm side of the bar. The notch sensitivity factor quantifies the effect of the hole on the stress concentration, while the fatigue stress concentration factor determines the increase in stress due to cyclic loading.

The mean stress (σm) is the average of the minimum (F_min) and maximum (F_max) axial loads applied to the bar. The alternating stress (σa) is half the difference between F_max and F_min.

The fatigue strength for a certain number of cycles is determined by applying the appropriate factors to the ultimate tensile strength (S_Ut) or yield strength (S_y) of the material. The fatigue strength is typically given for a specified number of cycles, such as 100, 10,000, 100,000, or 1,000,000 cycles. The fatigue strength for infinite life refers to the stress level below which the material can withstand an unlimited number of cycles without failure.

To provide accurate values for the notch sensitivity, fatigue stress concentration factors, mean and alternating stresses, and fatigue strength for the specified number of cycles, further calculations and data specific to the material properties and geometry of the bar are required.

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Answer:

Explanation:

mass (m) = 50 kg

Force (F) = 200 N

Acceleration (a)= ?

WE know

F = m * a

200 = 50 * a

a = 200 / 50

a = 4 m/s²

Hope it will help :)

a. The force on the rocket due to the Earth can be calculated using the formula for gravitational force:

F = G*(ME*m)/r²

where G is the gravitational constant, r is the distance between the center of the Earth and the rocket's orbit (2RE in this case).

b. The orbital speed of the rocket can be calculated using the formula for circular velocity:

v = sqrt(G*ME/r)

c. The time it takes the rocket to make one complete orbit can be calculated using the formula for orbital period:

T = 2pir/v

a. The force exerted by the Earth on the rocket would not vary. This is so because the force is not affected by the mass of the rocket but only by the Earth's mass and the distance between it and the rocket.

b. The orbital velocity would not alter. This is so because the speed does not depend on the mass of the rocket but rather just on the mass of the Earth and the distance between it and the rocket.

c. It would take the rocket the same amount of time to accomplish one orbit. This is due to the fact that an orbit's time period is solely influenced by the mass of the Earth and the distance between it and the rocket, and not by other factors.

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Answer:

B

Explanation:

When air rapidly expands, its temperature normally decreases (C). This  can be explained by the principles of thermodynamics and the behavior of gases.

As air expands, the pressure decreases, and the gas molecules have more space to move around. This results in the molecules having less kinetic energy and fewer collisions with each other. As the number of collisions decreases, so does the overall temperature of the gas.

The decrease in temperature during rapid expansion is a natural process called adiabatic cooling. This occurs because the work done by the gas to expand against its surroundings is done at the expense of its internal energy, which results in a temperature drop. This effect can be commonly observed in the atmosphere, where air cools as it rises and expands in lower pressure environments, such as in clouds or near mountain tops.

Understanding how the temperature of air changes during expansion is essential in various applications, including meteorology, engineering, and aviation. In all these fields, the relationship between air expansion and temperature is a crucial factor in understanding the behavior of gases and predicting their properties in different conditions.

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Answer:

20m/s

Explanation:

Given parameters:

Distance of throw = 50m

Time  = 3s

Unknown:

Average speed  = ?

Solution:

Average speed is distance divided by time;

  Average speed  = \(\frac{distance }{time}\)

Insert the parameters and solve;

  Average speed  = \(\frac{50}{3}\)   = 16.66667m/s  = 20m/s

If the speed of the magnet is doubled, the induced voltage will be four times as great.

According to Faraday's Law of Electromagnetic Induction, the magnitude of the induced voltage in a coil is directly proportional to the rate of change of magnetic flux through the coil. When the speed of the magnet is doubled, the rate of change of magnetic flux through the coil also doubles, resulting in a doubling of the induced voltage.

However, since the induced voltage is directly proportional to the rate of change of magnetic flux, a doubling of the speed of the magnet results in a fourfold increase in the rate of change of magnetic flux, which leads to a fourfold increase in the induced voltage. Therefore, if the speed of the magnet is doubled, the induced voltage will be four times as great. This effect is important in many applications, such as electrical generators, where the speed of the rotor is used to control the output voltage of the generator.

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