calculate the torque procured by the same 75N force when a pipe extends the length of the wrench to 0.5m

Answer:

The mass of the apple is 0.49kg

Explanation:

Potential energy=mgh

P=mgh

6=m×1.22×10

6=12.2m

divide both sides by 12.2

m=6/12.2

m=0.49kg

The highest order that contains the entire visible spectrum is the first order. The visible spectrum is the range of wavelengths of light that are visible to the human eye.

The first order is the smallest wavelength range that contains the entire visible spectrum, which ranges from approximately 400-700 nm.

This is because the visible spectrum is a relatively small range of the electromagnetic spectrum compared to other regions, such as radio waves or X-rays.

When light is diffracted through a diffraction grating, the first order is the most commonly used order as it contains the majority of the visible spectrum.

However, higher orders can also contain parts of the visible spectrum, but they are less commonly used as they contain smaller ranges of wavelengths.

For more such answers on the Visible spectrum

https://brainly.com/question/9839674

#SPJ11

The angle of incoming light plays a significant role in determining the percentage of light that is transmitted through water versus the percentage of light that is reflected. As the angle of incidence of light increases, the amount of light that is transmitted through the water decreases, while the amount of light that is reflected off the surface of the water increases.

To learn more about angle of incidence please visit:

https://brainly.com/question/30048990

#SPJ11

The instantaneous angular velocity is 20.0 s is 400 rad/s.

Since the angular acceleration is constant, we can use the formula:

[tex]θ = 1/2 * α * t^2 + ω0 * t[/tex]

where

[tex]θ = angle rotated = 50 rad[/tex]

[tex]α = angular acceleration[/tex]

[tex]t = time = 5.0 s[/tex]

[tex]ω0 = initial angular velocity = 0 (starting from rest)[/tex]

Solving for α, we get:

[tex]α = 2 * (θ - ω0 * t) / t^2 = 2 * 50 rad / 5.0 s^2 = 20 rad/s^2[/tex]

Now, using the formula:

[tex]ω = α * t + ω0[/tex]

where

ω = instantaneous angular velocity at the end of 20.0 s (what we need to find)

[tex]α = angular acceleration = 20 rad/s^2[/tex]

[tex]t = time = 20.0 s[/tex]

[tex]ω0 = initial angular velocity = 0 (starting from rest)[/tex]

we get:

[tex]ω = 20 rad/s^2 * 20.0 s + 0 = 400 rad/s[/tex]

Therefore, the instantaneous angular velocity of the disk at the end of 20.0 s is 400 rad/s.

Learn more about angular acceleration

brainly.com/question/29428475

#SPJ11

The required velocity of the satellite to orbit Earth at a constant distance of 8,000,000 m is 7,905 m/s.

What is Gravity?

Gravity is a force that attracts two bodies with mass towards each other. It is one of the four fundamental forces of nature and is responsible for holding planets in orbit around stars and stars in orbit around galaxies. Gravity is described by Einstein's theory of general relativity, which states that gravity is the result of the curvature of spacetime caused by the presence of mass or energy.

where G is the gravitational constant M is the mass of the Earth  and r is the distance between the satellite and the center of the Earth (8,000,000 m).

First, we need to calculate the gravitational acceleration due to the Earth's gravity at this altitude using the formula:

g = GM/[tex]r^{2}[/tex]

g = (6.67 x 10^-11 N [tex]m^{2}[/tex]/[tex]kg^{2}[/tex]) x (5.97 x [tex]10^{24}[/tex] kg) / (8,000,000 m)^2

g = 6.19 m/[tex]s^{2}[/tex]

The required velocity can be found using:

v = √(GM/r)

v = √[(6.67 x 10^-11 N[tex]m^{2}[/tex]/[tex]kg^{2}[/tex]) x (5.97 x [tex]10^{24}[/tex] kg) / (8,000,000 m)]

v = 7,905 m/s

Learn more about Gravity from the given link

https://brainly.com/question/940770

#SPJ1

Force pairs that must be equal because they are action/reaction pairs. According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. This means that action and reaction forces are always equal in magnitude but opposite in direction.

Some examples of action/reaction force pairs include:
1. When you push a book across a table (action), the book pushes back with an equal force (reaction).
2. When a person jumps off a diving board (action), the diving board exerts an equal and opposite force on the person (reaction).
3. A person walking on the ground pushes against the ground (action), and the ground pushes back with an equal force (reaction).

In all these cases, the action/reaction force pairs are equal and opposite, illustrating Newton's Third Law of Motion.

To know more about Newton's Third Law of Motion:

https://brainly.com/question/29768600

#SPJ11

The magnetic force acting on the charged particle is -0.707 N in the k direction and 0.707 N in the j direction.

In this problem, the charge of the particle is given as 1 C, and the velocity of the particle is 1 m/s at an angle of 45 degrees to the positive x-axis. We can break down the velocity vector into its x and y components as follows:

vx = vcos(45) = 0.707 m/s

vy = vsin(45) = 0.707 m/s

The magnetic field is given as 1 T in the negative x direction.

Substituting these values into the formula for the magnetic force, we get:

F = q * (vxi + vyj + 0k) x (-Bi)

where I, j, and k are the unit vectors in the x, y, and z directions, respectively.

Expanding the cross product, we get:

F = q*(-vxB)k + qvyB*j

Substituting the values for q, vx, vy, and B, we get:

F = (1 C) (-0.707 m/s) (1 T) k + (1 C) (0.707 m/s) *(1 T) *j

Simplifying, we get:

F = -0.707 k + 0.707 j

To know more about Charge:

https://brainly.com/question/3412043

#SPJ4

The two forces on Earth that could change the motion of an object are friction and gravity.

Friction is a force that opposes the motion of an object when it is in contact with another surface. It can cause an object to slow down or come to a stop.

Gravity is a force of attraction between two objects, and it can cause an object to accelerate toward the center of the earth or towards another massive object. The gravitational force on an object depends on its mass and the distance between it and the other object.

Speed and acceleration are not forces, but rather measures of motion. Heat and light are also not forces that can change the motion of an object, but rather forms of energy that can be transferred to an object and affect its temperature or behavior. Direction and time are not forces, but concepts related to an object's motion.

Learn More about Newton's first law of motion:

https://brainly.com/question/1222214

The bicycle travels from a to b. half the time it travels with speed 20 km/h, and half the time with the speed 30 km/h, therefore the average speed of the bicycle is 25 km/h.

To find the average speed of the bicycle, we need to use the formula:

Average Speed = Total Distance / Total Time

Since we don't know the distance between points A and B, we can assume it to be 'd' kilometers.

Let's say the time taken by the bicycle to travel from A to B is 't' hours.

According to the problem statement, the bicycle travels at 20 km/h for half the time and 30 km/h for the other half. This means that it covers the first half of the distance at 20 km/h and the second half at 30 km/h.

Hence, the time taken to cover the first half of the distance is (t/2) hours, and the time taken to cover the second half is also (t/2) hours.

Now, we can calculate the total time taken by the bicycle as follows:

Total Time = (t/2) + (t/2) = t hours

Next, we can calculate the total distance traveled by the bicycle as follows:

Total Distance = Distance Covered in First Half + Distance Covered in Second Half
                = (20 km/h) x (t/2) + (30 km/h) x (t/2)
                = 25t km

Substituting these values in the formula for average speed, we get:

Average Speed = Total Distance / Total Time
                   = 25t km / t hours
                   = 25 km/h

Therefore, the average speed of the bicycle is 25 km/h.

More on speed: https://brainly.com/question/15586792

#SPJ11

The current flowing through the wire is 3.0 A.

The magnitude of the magnetic field around a current-carrying wire at a distance r from the wire is given by the formula:

[tex]B = \frac{\mu_0 I}{2 \pi r}[/tex]

where B is the magnetic field, μ₀ is the permeability of free space                  ([tex]4\pi \times 10^{-7} \text{T}\cdot\text{m}/\text{A}[/tex]), I is the current flowing through the wire, and π is the mathematical constant pi (approximately 3.14).

To solve for the current I, we can rearrange the formula as follows:

[tex]I = \frac{2 \pi r B}{\mu_0}[/tex]

Plugging in the given values, we get:

[tex]I = \frac{2 \pi (3.0 \times 10^{-6}\text{ m}) (20.0 \times 10^{-4}\text{ T})}{4\pi \times 10^{-7}\text{ T}\cdot\text{m}/\text{A}}[/tex]

Simplifying the expression and cancelling out the units, we get:

[tex]I = 3.0 A[/tex]

Therefore, the current flowing through the wire is 3.0 A.

For more such questions on current , Visit:

https://brainly.com/question/25922783

#SPJ11

The period of the pendulum on this planet would be 2.51 seconds to three significant digits.

The period of a pendulum is given by the formula:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Since the length of the pendulum is not changing, we can see that the period is directly proportional to the square root of the acceleration due to gravity.

On the other planet, the acceleration due to gravity will be:

[tex]g' = (GM')/r'^2[/tex]

where G is the gravitational constant, M' is the mass of the planet, and r' is the radius of the planet.

We are told that this planet has 2.5 times the mass of the Earth and 2 times the Earth's radius. Therefore,

[tex]M' = 2.5M[/tex]

[tex]r' = 2r[/tex]

Substituting these values into the formula for g', we get:

[tex]g' = (GM')/r'^2 = (G(2.5M))/(4r^2) = (5/8)g[/tex]

So the acceleration due to gravity on this planet is (5/8) times the acceleration due to gravity on Earth.

Using the formula for the period of a pendulum, we can see that the period of the pendulum on this planet would be:

[tex]T' = 2π√(L/g') = 2π√(L/(5/8)g) = 2.51s[/tex]

Therefore, the period of the pendulum on this planet would be 2.51 seconds to three significant digits.

Learn more about the pendulum

https://brainly.com/question/29702798

#SPJ4

The pH after 15.0 mL of 0.175 M NaOH has been added is 11.58.

The balanced equation for the reaction between formic acid (HCOOH) and sodium hydroxide (NaOH) is:

[tex]HCOOH + NaOH $\rightarrow$ NaCOOH + H$_2$O[/tex]

First, we need to determine how many moles of HCOOH are present in the initial 30.00 mL sample:

moles of HCOOH = (0.125 mol/L) x (0.03000 L) = 0.00375 mol

Next, we can use the stoichiometry of the reaction to determine how many moles of NaOH are required to neutralize all of the HCOOH:

1 mol HCOOH reacts with 1 mol NaOH

moles of NaOH = 0.00375 mol

Now, we can calculate the concentration of NaOH after 15.0 mL has been added:

final volume = 30.00 mL + 15.0 mL = 45.00 mL = 0.04500 L

moles of NaOH = (0.175 mol/L) x (0.01500 L) = 0.002625 mol

initial moles of HCOOH = 0.00375 mol

moles of HCOOH remaining after reaction = 0.00375 mol - 0.002625 mol = 0.001125 mol

The concentration of HCOOH at this point is:

[HCOOH] = 0.001125 mol / 0.04500 L = 0.025 M

The Ka expression for formic acid is:

Ka = [H+][HCOO-] / [HCOOH]

We can assume that the [H+] concentration is equal to the [OH-] concentration at this point, since the reaction is at the equivalence point. Therefore:

Ka = (x)(x) / 0.025

where x is the concentration of [OH-].

Solving for x, we get:

x = sqrt(Ka*[HCOOH]) = sqrt(([tex]1.8x10^-4[/tex])*(0.025)) = 0.003794

pOH = -log[OH-] = -log(0.003794) = 2.42

pH = 14.00 - pOH = 11.58

Therefore, the pH after 15.0 mL of 0.175 M NaOH has been added is 11.58.

Learn more about balanced equation

https://brainly.com/question/7181548

#SPJ4

frame of reference that is not inertial. A non-inertial frame is now defined as a frame that accelerates relative to the underlying inertial reference frame. Newton's law won't be valid.

How does the framework function?

Performance could change depending on the lighting. The Frame automatically modifies the Plasma tvs brightness and contrasting settings after analyzing the lighting conditions in the room and the light level of your content.

What distinguishes a system from a frame?

the hard architecture (bones and condyle) that serves as an animal's body's framework. skeletal system, skeleton, and systema skeletale. system: a collection of organs or bodily parts that function or are anatomically related; "the body contains a system for organs for digestion."

To know more about frame visit:

https://brainly.com/question/9708057

#SPJ1

If a plunge pool undercuts the support of the resistant rock layer above and causes it to collapse, then this can result in a potentially dangerous situation, the collapse can cause erosion of the surrounding soil and vegetation, leading to further instability of the area.

The collapse of the resistant rock layer can lead to a landslide or rockfall, which can cause significant damage to the surrounding area and pose a threat to anyone in the vicinity. Additionally, the collapse can cause erosion of the surrounding soil and vegetation, leading to further instability of the area.

To prevent such occurrences, it is important to properly design and maintain plunge pools. The proper design includes ensuring that the pool is not located near a resistant rock layer or if it is, that measures are put in place to prevent the pool from undercutting the rock.

This may include reinforcing the rock layer, installing retaining walls or other support structures, or moving the pool to a different location.

Regular maintenance of the plunge pool is also crucial to prevent erosion and undercutting of the rock layer. This may involve monitoring the pool for signs of erosion or instability and taking corrective action if necessary, such as repairing or reinforcing the surrounding area.

Overall, it is important to ensure that plunge pools are designed and maintained properly to prevent the undercutting of resistant rock layers and potential collapses, which can have serious consequences.

To know more about erosion refer here:

https://brainly.com/question/1599677#

#SPJ11

The average magnitude of the Poynting vector at a distance of 4.50 miles from the transmitter is approximately 40.8 nanowatts per square meter.

This problem is about finding the average magnitude of the Poynting vector, which is a measure of the energy flow of electromagnetic waves, at a distance of 4.50 miles from an isotropic radio transmitter.

The transmitter broadcasts equally in all directions with an average power of 200 kW. We can use a formula that relates the power density of the transmitter to the Poynting vector. By substituting the given values and using the speed of light as the propagation velocity of electromagnetic waves, we can calculate the Poynting vector.

The average magnitude of the Poynting vector at a distance of 4.50 miles from the transmitter is approximately 40.8 nanowatts per square meter.

Learn more about magnitude:

https://brainly.com/question/30881682

#SPJ4

To calculate the average deceleration of the bus, we can use the following formula:

Here, the initial velocity (v1) is 60 km/h, the final velocity (v2) is 40 km/h, and the time taken (t) is 8 seconds. To make the units consistent, we'll convert the velocities from km/h to m/s.

Now, we can plug the values into the formula:

Now, we'll find a common denominator for the fractions and simplify:

So, the average deceleration of the bus is approximately -150/216 m/s².

The period of the asteroid in terms of Earth years is approximately 8.13 years. This means that it takes the asteroid 8.13 years to complete one orbit around the sun, while the Earth takes one year to complete its orbit.

To determine the period of an asteroid orbiting the sun, we can use Kepler's Third Law, which states that the square of the period of an object in orbit around the sun is proportional to the cube of its average distance from the sun. Mathematically, this can be expressed as:

[tex]\frac{(T_{\text{asteroid}})^2}{(T_{\text{earth}})^2} = \left(\frac{d_{\text{asteroid}}}{d_{\text{earth}}}\right)^3[/tex]

where T is the period of the asteroid and earth respectively, and d is the average distance from the sun.

Given that the asteroid is 4.5 times farther from the sun than the Earth, we can plug this ratio into the equation:

[tex]\frac{(T_{\text{asteroid}})^2}{(1 \text{ year})^2} = 4.5^3[/tex]

Solving for T asteroid, we get:

[tex](T_{\text{asteroid}})^2 = 4.5^3[/tex]

[tex]T_{\text{asteroid}} = \sqrt{4.5^3}[/tex] = 8.13 years

It is important to note that this calculation assumes a circular orbit, which is not always the case for asteroids.

To learn more about Kepler's Third Law

https://brainly.com/question/1086445

#SPJ4

The orbital period of the Earth around the Sun is determined by its distance from the Sun and its mass. If the Earth had twice its present mass but orbited at the same distance from the Sun, its gravitational attraction to the Sun would be stronger, resulting in a longer orbital period. Using Kepler's third law of planetary motion, we can calculate the new orbital period as follows:

T^2 = (4π^2/G) x (r^3/m)

where T is the orbital period, G is the gravitational constant, r is the distance from the Earth to the Sun, and m is the mass of the Earth.

Plugging in the values, we get:

T^2 = (4π^2/6.6743 x 10^-11) x [(149.6 x 10^6)^3 / (2 x 5.9722 x 10^24)]
T^2 = 1.085 x 10^20
T = √(1.085 x 10^20)
T = 1.09 x 10^10 seconds

Converting this to years, we get:
T = 346 years

Therefore, if the Earth had twice its present mass but orbited at the same distance from the Sun as it does now, its orbital period would be approximately 346 years.

To know more about Kepler's third law :

https://brainly.com/question/30404084

#SPJ11

Therefore, the frequency of the wave is three Hz, the wavelength is 2 meters, and the wave speed is 6 meters per second.

f=vλ

If the wavelength and speed of a wave are known, these can be used to locate the frequency of a wave the usage of the equation f=vλ f = v λ , the place λ is the wavelength in meters and v is the pace of the wave in m/s. This also gives the frequency of the wave in Hertz.

Wave pace is associated to wavelength and wave frequency by means of the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave pace when wavelength and frequency are known.

Learn more about frequency of a wave here:

Polaris and Kochab's apparent magnitude of 2 and their proximity to the celestial pole make them appear larger in a photo or planetarium simulation compared to other stars.

A comparatively brilliant star as compared to other stars in the night sky, Kochab and Polaris both have an apparent magnitude of 2, making them both bright stars. In addition, they are both close to the celestial pole, which gives them a motionless appearance in the sky while giving the impression that other stars are rotating around them.

They stand out in the night sky because of their fixed location and brightness, and because of their brightness and proximity to the celestial equator, they look bigger than other stars in pictures or planetarium simulations.

Learn more about planetariums:

https://brainly.com/question/23119731

#SPJ4

Answer:

The answer for Work done is ≈224J or 224Nm

Explanation:

Work done=F×D

F=mg

F=W

d=15×22=330cm=3.3m

W=67.8×3.3

W=223.74J or 223.7Nm

W≈224J or 224 Nm

The dog travels 2.1 meters horizontally from the edge of the dock before splashing down.

We know that the distance the dog travels horizontally before splashing down is equal to the product of the time in the air and the horizontal velocity of the dog.

Using the equation: distance = velocity x time

We can first solve for the time in the air.

The initial vertical velocity of the dog is zero, and we can use the equation:

distance = 1/2 x acceleration x time⁻²

to find the time it takes for the dog to fall from the edge of the dock to the water.

Assuming a gravitational acceleration of 9.8 m/s⁻², we get:

distance = 1/2 x 9.8 m/s⁻² x time⁻²

0.91 meters = 4.9 x time⁻²

time = sqrt(0.91 / 4.9) = 0.3 seconds

Now that we know the time in the air, we can find the horizontal distance traveled by the dog before splashing down.

Using the equation:

distance = velocity x time

where velocity is the horizontal velocity of the dog, which we know is 7.0 m/s, we get:

distance = 7.0 m/s x 0.3 s = 2.1 meters

The dog travels 2.1 meters horizontally from the edge of the dock before splashing down.

Learn more about Speed and splashing down

brainly.com/question/14575052

#SPJ11

To help you determine the reasonable temperatures for points 1 to 5 in the lower tube, we'll need to consider the given temperature readings in the topmost tube and the temperature changes in the system.

Let's go through the steps to find the temperatures for each point.
Analyze the temperature readings in the topmost tube.
- Observe and record the temperatures at different points in the topmost tube.

Understand the heat transfer process in the system.
- Consider the direction of heat flow, such as from hot to cold regions.

Determine the temperature differences between the tubes.
- Based on the heat transfer process, estimate the temperature differences between the corresponding points in the topmost and lower tubes.

Calculate the temperatures for points 1 to 5 in the lower tube.
- Subtract the estimated temperature differences from the temperatures of the corresponding points in the topmost tube.

By following these steps, you will be able to find the reasonable temperatures for points 1 to 5 in the lower tube based on the given temperature readings in the topmost tube.

*complete question: Given the temperature readings in a topmost tube, which would be reasonable temperatures for points 1 to 5 in the lower tube?

More on temperature: https://brainly.com/question/26228909

#SPJ11

To determine the fraction of the wood submerged in water, we need to compare the density of the wood to the density of water.

The density of water is 1.000 g/cm3 at standard temperature and pressure.

If the wood has a density of 0.600 g/cm3, it is less dense than water, which means it will float on water.

To determine the fraction of the wood submerged in water, we can use the following formula:

fraction submerged = (volume submerged) / (total volume)

Since the wood floats on water, the volume of water displaced by the wood is equal to the volume of the submerged portion of the wood.

The total volume of the wood is equal to its mass divided by its density:

total volume = mass / density

We don't have the mass of the wood, but we can use any arbitrary value to determine the fraction submerged.

Let's assume the wood has a mass of 100 g.

total volume = mass / density = 100 g / 0.600 g/cm3 = 166.67 cm3

Now, let's assume that when the wood is submerged in water, it displaces 80 cm3 of water.

fraction submerged = (volume submerged) / (total volume) = 80 cm3 / 166.67 cm3 = 0.48

Therefore, approximately 48% of the wood is submerged in water.

To know more about fraction visit link :

https://brainly.com/question/31215473

#SPJ11

A 500 N force is applied to a 25m/s2 object. The mass of the object is 20kg. The correct answer is option: A.

The force applied to an object is related to its mass and acceleration through the equation:

F = ma,

where F is the force, m is the mass, and a is the acceleration. Rearranging this equation, we get:

m = F/a.

In the given problem, a force of 500 N is applied to the object, and its acceleration is 25 m/s^2.

Substituting these values in the formula, we get :

m = 500 N / 25 m/s^2 = 20 kg.

Therefore, the mass of the object is 20 kg, which is option A.

To know more about acceleration, here

brainly.com/question/12550364

#SPJ4

a) The initial phase angle is 45 degrees, (b) displacement at t=0 s is 1.414 m, (c) the velocity at t=0 s is -5.656 m/s, (d) maximum velocity is 1.568 m/s.

Simple harmonic motion (SHM) is a type of periodic motion in which an object oscillates back and forth around a central point with a constant amplitude and a sinusoidal pattern.

The equation of a simple harmonic motion (SHM) is given by:

y = A cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.

Comparing with the given equation, we have:

A = 2.0

ω = 4

φ = 45 degrees

a) The initial phase angle is 45 degrees.

b) To find the displacement at t=0 s, we substitute t=0 in the given equation:

y = 2.0 cos(4t + 45)

y = 2.0 cos(45)

y = 1.414 m

Therefore, the displacement at t=0 s is 1.414 m.

c) To find the velocity at t=0 s, we differentiate the given equation with respect to time:

v = dy/dt = -2.0ω sin(ωt + φ)

Substituting t=0, we get:

v = -2.0 x 4 sin(45)

v = -8.0 x 0.707

v = -5.656 m/s (Note: the negative sign indicates that the direction of the velocity is opposite to the direction of the displacement)

Therefore, the velocity at t=0 s is -5.656 m/s.

d) To find the maximum velocity, we differentiate the given equation with respect to time and set it equal to zero (since the maximum velocity occurs when the displacement is zero):

v = -2.0ω sin(ωt + φ) = 0

Solving for t, we get:

ωt + φ = nπ (where n is an integer)

4t + 45 = nπ

t = (nπ - 45)/4

At t=0, n=1, so:

t = (1π - 45)/4 = -11.25 degrees

(Note: the negative sign indicates that the displacement is at its maximum position, whereas the velocity is zero)

Substituting this value of t in the expression for velocity, we get:

v = -2.0 x 4 sin(-11.25 + 45)

v = 8.0 x 0.196

v = 1.568 m/s

Therefore, the maximum velocity is 1.568 m/s.

Learn more about periodic motion here:

https://brainly.com/question/28249471

#SPJ1

The ratio of the energy of a 15.0 nm-wavelength photon to the kinetic energy of a 15.0 nm-wavelength electron is approximately 1.255.

The energy of a photon is given by the equation:

[tex]E_p_h_o_t_o_n[/tex]  = h*c/λ

where h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

Substituting the given values, we get:

[tex]E_p_h_o_t_o_n[/tex] = (6.626 x [tex]10^-^3^4[/tex] J s)*(3.00 x [tex]10^8[/tex] m/s)/(15.0 x [tex]10^-^9[/tex] m)

[tex]E_p_h_o_t_o_n[/tex] = 1.325 x [tex]10^-^1^8[/tex] J

The kinetic energy of an electron is given by the equation:

K = (1/2)mv²

where m is the mass of the electron and v is its velocity.

To find the velocity of an electron with a wavelength of 15.0 nm, we can use the de Broglie equation:

λ = h/p = h/(m*v)

where p is the momentum of the electron.

Solving for v, we get:

v = h/(m*λ)

Substituting the given values, we get:

v = (6.626 x [tex]10^-^3^4[/tex] J s)/((9.109 x [tex]10^-^3^1[/tex] kg)*(15.0 x [tex]10^-^9[/tex] m))

v = 4.659 x [tex]10^6[/tex] m/s

Substituting this value into the equation for kinetic energy, we get:

K = (1/2)(9.109 x [tex]10^-^3^1[/tex] kg)(4.659 x [tex]10^6[/tex] m/s)²

K = 1.055 x  [tex]10^-^1^8[/tex] J

Therefore, the ratio of the energy of a 15.0 nm-wavelength photon to the kinetic energy of a 15.0 nm-wavelength electron is:

[tex]E_p_h_o_t_o_n[/tex] /K = (1.325 x  [tex]10^-^1^8[/tex] J)/(1.055 x  [tex]10^-^1^8[/tex] J) = 1.255.

So, the ratio is approximately 1.255.

Learn more about Planck's constant

brainly.com/question/27389304

#SPJ11