a nearsighted person has a near point of 14 cm and a far point of 40 cm .what power corrective lens is needed for her to have clear distant vision?

Answers

Answer 1

Power of the corrective lens needed for the nearsighted person to have clear distant vision is 0.025 diopters.

What is nearsightedness?

Nearsightedness is a common vision condition in which near objects appear clear and objects farther away look blurry.

As P = 1/f

P is power of the lens in diopters, and f is focal length of the lens in meters.

Given, near point of the nearsighted person is 14 cm, which means that her eye can focus on objects that are as close as 14 cm. Given, far point is 40 cm, which means that her eye cannot focus on objects that are farther away than 40 cm.

As 1/f = 1/do + 1/di

do is object distance (which is at infinity for distant objects), di is image distance (which is the distance from the lens to the eye), and f is focal length of lens.

1/f = 1/di

di = f

f = 1/P, we get:

di = 1/P

1/P = 1/di = 1/40 cm

P = 40 cm⁻¹ = 0.025 diopters

Therefore, power of the corrective lens needed for the nearsighted person to have clear distant vision is 0.025 diopters.

To know more about nearsightedness, refer

https://brainly.com/question/13868853

#SPJ1


Related Questions

Find the acceleration (in m/s^2) of a car that travels from rest, to a velocity of 60 m/s in a distance of 212.0 ft.

A. 32 m/s^2
B. 27.9 m/s
C. 27.9 ft/s^2
D. 27.9 m/s^2

Show the work for determining the acceleration of the car...show symbolic solution then numerical solution.

Answers

As the units for acceleration are metres per second squared, we must first convert the distance from feet to metres. We know that 3.28084 feet are equal to 1 metre, so we can calculate: 212.0 feet (1 m / 3.28084 ft) = 64.6218 m.Hence, the car's total distance travelled was 64.6218 metres.

What is the acceleration of a car travelling down a straight road that goes from 0 to 100 km/h in 10 seconds in terms of m/s2?

How quickly does a car travelling along a straight road accelerate to reach 100 km/h in 10 seconds? 6 m/s.

What is a body starting at rest's acceleration A in MS 2?

The acceleration a (in ms 2) of a body, starting from rest varies with time t (ins) following the equation a= 3t+4.

To know more about acceleration  visit:-

brainly.com/question/12550364

#SPJ1

a 500 g rock slides across an ice covered pond and strikes a 725 g object that is at rest. is it possible for both objects to be at rest after the collision?

Answers

Yes, it is possible for both objects to be at rest after the collision. This type of collision is known as an elastic collision.

In an elastic collision, both kinetic energy and momentum are conserved. Kinetic energy is the energy that an object possesses due to its motion. In a perfectly elastic collision, the kinetic energy is completely conserved, meaning that it is transferred from one object to another. Momentum is the product of an object's mass and velocity.

In an elastic collision, momentum is conserved.To solve this problem, we can use the conservation of momentum. According to the principle of conservation of momentum, the total momentum of a system of objects is conserved if there is no external force acting on the system. In this case, both objects are on the same surface and are only subjected to the frictional force of the surface.

The momentum of the rock before the collision can be calculated as: p1 = m1v1 = 0.5 kg × 3 m/s = 1.5 kg m/s.The momentum of the object at rest before the collision can be calculated as:p2 = m2v2 = 0.The total momentum of the system before the collision is:p1 + p2 = 1.5 kg m/s.The momentum of both objects after the collision is zero, so the total momentum of the system after the collision is also zero.

Therefore: p1' + p2' = 0.p1' is the momentum of the rock after the collision, and p2' is the momentum of the object at rest after the collision. Since the total momentum of the system is conserved, we can write: p1' + p2' = p1 + p2.0.5 kg × v1' + 0.725 kg × v2' = 1.5 kg m/s.

The two unknown velocities can be solved using the two equations: p1 + p2 = p1' + p2' and 0.5 kg × v1' + 0.725 kg × v2' = 1.5 kg m/s.

More on elastic collision: https://brainly.com/question/28161369

#SPJ11

an object sits in front of a converging lens 27.2 cm away from it. if the image of the object is formed 68.3 cm on the opposite side of the lens, what is the focal length of the lens?

Answers

The focal length of the lens, in which the image is formed on the opposite side of the object- 68.3cm away from it, is -68.5cm.

The formula for finding the focal length of a lens is:

1/f = 1/di + 1/do

where f is the focal length of the lens, di is the distance from the lens to the image and do is the distance from the lens to the object.

In this case, di = -68.3 cm (since the image is formed on the opposite side of the lens), and do = 27.2 cm. Plugging these values into the formula gives:

1/f = 1/-68.3 + 1/27.2

Simplifying this equation gives:

1/f = -0.0146

Multiplying both sides by -1 gives:

-1/f = 0.0146

Dividing both sides by 0.0146 gives:

f ≈ -68.5 cm

The negative sign indicates that the lens is a diverging lens rather than a converging one. If you want to find the focal length of a converging lens, you should get a positive value for f.

To know more about focal length, refer:

https://brainly.com/question/26550490

#SPJ4

if loads are connected in parallel do they have the same voltage

Answers

Answer:

Yes

Explanation:

A parallel circuit has two or more paths for current to flow through. Voltage is the same across each component of the parallel circuit. The sum of the currents through each path is equal to the total current that flows from the source.

what is the schwarzschild radius for the black hole at the center of our galaxy if it has the mass of 4 million solar masses?

Answers

The Schwarzschild radius for the black hole at the center of our galaxy is approximately 11.8 billion meters, or about 7.3 million miles.

What is Schwarzschild radius ?

The Schwarzschild radius is a measure of the size of the event horizon of a black hole, which is the boundary beyond which nothing, not even light, can escape.

The formula for the Schwarzschild radius is:

r = 2GM/c²

where;

r is the Schwarzschild radius, G is the gravitational constant, M is the mass of the black hole, andc is the speed of light.

For a black hole at the center of our galaxy with a mass of 4 million solar masses, we can calculate its Schwarzschild radius as:

r = 2G M / c²

 = 2 x 6.6743 × 10⁻¹¹ m³ kg⁻¹ s⁻² x 4 million x 1.98847 × 10³⁰ kg / (299792458 m/s)²

 = 1.18 × 10¹⁰ meters

Learn more about Schwarzschild radius here: https://brainly.com/question/12647190

#SPJ1

Please help me with this question:

You're traveling by car to a particular destination.
Your car travels at 60mph when conditions are perfect. Sadly for you, things are not perfect this night, it is raining, and raining hard, you'll only be able to travel 20mph in the heavy rain, and 30mph in the light rain, if it is foggy, you must decrease your speed by 5mph.
You travel for 20 miles in the pouring rain before you reach a patch of fog. You travel for another 30 miles in the heavy rain/fog mixture. The rain lightens up, the fog clears, and you travel another 15 miles before reaching your destination.
How long did it take you to get there?

Answers

It took 3 hours and 15 minutes to get to the destination.

Given dataPouring rain: 20 miles, 20mph Heavy rain/fog: 30 miles, 30mph Light rain: 15 miles, 30mph Total distance: 65 miles

Calculation procedures

Pouring rain (20mph): 20 miles / 20mph = 1 hour

Heavy rain/fog mixture (30mph): 30 miles / 30mph = 1 hour

Light rain (30mph): 15 miles / 30mph = 30 minutes

Total time: 1 hour + 1 hour + 30 minutes = 3 hours and 15 minutes

Traveling at night in the rain can be difficult and slow. Even with perfect conditions of 60mph, the heavy rain and fog reduced the speed to only 20mph, which added three hours and fifteen minutes to the total travel time.

It's important to drive cautiously and safely when road conditions are not ideal.

Learn more about Traveling in the rain here:

https://brainly.com/question/13009869

#SPJ1

A grasshopper jumps into the air. As it rises into the air, the grasshopper slows down and loses kinetic energy.
Because the grasshopper’s kinetic energy is decreasing, what else occurs?

Answers

the potential energy increases

nflate a balloon at room temperature. leave the inflated balloon in the refrigerator overnight. what happens to the balloon? explain

Answers

When inflating a balloon at room temperature and leaving the inflated balloon in the refrigerator overnight, it will deflate.

А bаlloon will deflаte when we inflаte а bаlloon аt room temperаture аnd then leаve the inflаted bаlloon in the refrigerаtor overnight becаuse the molecules in а bаlloon аre very energetic, аnd when they аre heаted up, they move fаster аnd further аpаrt from eаch other.

When we put а bаlloon in а refrigerаtor, it cools down, аnd the molecules inside it lose some of their energy. This meаns thаt they move more slowly аnd аre closer together, so the pressure inside the bаlloon decreаses аnd the bаlloon deflаtes.Therefore, the bаlloon deflаtes becаuse the pressure inside the bаlloon decreаses аs the bаlloon cools down.

For more information about inflated balloon refers to the link: https://brainly.com/question/29730130

#SPJ11

A student places a transparent semicircular block on a sheet of paper and draws

around the block. She directs a ray of light at the centre of the flat edge of the block.

Figure 1 shows the path of the ray through the block.

Figure 1

incident ray

centre of the flat

edge of the block

transparent

semicircular block

emergent ray \ sheet of paper

[foya}(4] State why the emergent ray does not change direction as it leaves the block.

[1 mark]

Answers

The emergent ray does not change direction as it leaves the block because it is traveling perpendicular to the flat surface of the semicircular block.

What is an emergent ray?

An emergent ray is described to be a refracted beam that originates from a medium or channel after refraction.

It is known that when light passes from one medium to another at a particular angle, it changes direction due to refraction, which is caused by a change in the speed of light as it travels through different media.

If light passes through a flat surface at a perpendicular angle, there is no change in speed or direction, so the emergent ray travels in a straight line without bending or changing direction.

But in this scenario, the incident ray is directed towards the center of the flat edge of the block, it enters the block perpendicular to the flat surface and emerges from the block at the same angle and direction as the incident ray, without any refraction or change in direction.

Learn more about  refraction at: https://brainly.com/question/27932095

#SPJ1

explain why this is so. drag the terms on the left to the appropriate blanks on the right to complete the sentences. resethelp when the barrel is full it has a much blank moment of inertia and resistance to changes in its rotation, so it will be a blank stable moving platform than the empty barrel.target 1 of 2target 2 of 2 request answer provide feedback

Answers

Answer:

Saanvi recorded the number of math problems she did for homework each night for 10 days.

Explanation:

Part B Object A has a mass m and a speed v, object B has a mass m/2 and a speed 4u, and object C has mass 3m and a speed v/3. Rank the objects according to the magnitude of their momentum Rank from smallest to largest. To rank items as equivalent, overlap them. Reset Help Smallest momentum Largest momentunm Object A Object C Object B The correct ranking cannot be determined. Submit My Answers Give Up

Answers

Smallest momentum: Object B, Object A, Object C.

Largest momentum: Object C, Object A, Object B.

Momentum is defined as the product of mass and velocity, p = mv. Comparing the three objects, we can calculate their momentum as follows,

Object A: p = mv

Object B: p = (m/2) x (4u) = 2mu

Object C: p = (3m) x (v/3) = mv

From these equations, we can see that Object B has the smallest momentum since it has the lowest mass and speed. Object A has a larger momentum than Object B but smaller than Object C, which has the largest momentum due to its large mass. Therefore, the correct ranking from smallest to largest momentum is Object B, Object A, Object C.

To know more about momentum, here

brainly.com/question/30677308

#SPJ4

for a point on the rim of the flywheel, what is the magnitude of the tangential acceleration after 2.00 s of acceleration?

Answers

Explanation:

We can use the formula for tangential acceleration:

a_t = r * α

where a_t is the tangential acceleration, r is the radius of the flywheel, and α is the angular acceleration.

To find the angular acceleration, we can use the formula:

θ = 1/2 * α * t^2

where θ is the angular displacement, t is the time, and α is the angular acceleration.

Rearranging this formula to solve for α, we get:

α = 2θ / t^2

Substituting in the given values, we get:

α = 2 * (2π) / (2.00 s)^2

Simplifying, we get:

α = 1.57 rad/s^2

Substituting this into the formula for tangential acceleration, along with the given radius of the flywheel, we get:

a_t = (0.274 m) * (1.57 rad/s^2)

Simplifying, we get:

a_t = 0.431 m/s^2

Therefore, the magnitude of the tangential acceleration of a point on the rim of the flywheel after 2.00 s of acceleration is approximately 0.431 m/s^2.

The period of a wave is 0.044s. How many cycles will the energy source make in 22s?

Answers

Answer:

The number of cycles can be calculated by dividing the total time by the period:

Number of cycles = Total time / Period

In this case, the period is 0.044 s and the total time is 22 s, so:

Number of cycles = 22 s / 0.044 s = 500

Therefore, the energy source will make 500 cycles in 22 seconds.

(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)

when a hammer thrower releases her ball, she is aiming to maximize the distance from the starting ring. assume she releases the ball at an angle of 47.9 degrees above horizontal, and the ball travels a total horizontal distance of 33.6 m. what angular velocity must she have achieved (in radians/s) at the moment of the throw, assuming the ball is 1.16 m from the axis of rotation during the spin?

Answers

In order to throw the ball to a distance of 33.6\ m, the hammer thrower must achieve an angular velocity of 15.7 rad/s.

We need to find the velocity of the ball at release. We can use the equations of projectile motion to relate the horizontal distance traveled by the ball to its initial velocity and angle of release. The horizontal distance is given by:

[tex]d = (V^2\times sin(2\theta))/g[/tex]

where d is the horizontal distance, V is the initial velocity, g is the acceleration due to gravity, and θ is the angle of release.

Given horizontal distance d = 33.6\ m and θ = 47.9°

Substituting the given values, we get:

[tex]33.6 m = (V^2sin(2\times47.9^o))/9.8\  m/s^2[/tex]

Solving for V, we get:

V = 18.21 m/s

Now, to find the angular velocity we can use the formula

[tex]\omega = V/r[/tex]

[tex]\omega=18.21/1.16\  rad/s[/tex]

[tex]\omega = 15.705\  rad/s[/tex]

Therefore, the angular velocity the hammer thrower must have achieved at the moment of the throw is [tex]15.705\  rad/s[/tex].

Learn more about angular velocity:

https://brainly.com/question/29342095

#SPJ11

A diver does 8000 J of work against gravity to climb a diving board. if he weighs 800N
1. calculate the height of the board above the ground.​

Answers

The height of the board above the ground is 10 m. see the section below for calculation

Calculation of Distance

We know that the expression for distance is given as

Work = Force x Distance

Substituting into then expression above we have

8000 J = 800 N x Distance

Making distance subject of formula we have

Distance = 8000 J / 800 N

Distance = 10 m

Distance is a measure of how far two points are from each other. For example, if a person were to walk 10 meters, the distance they have traveled is 10 meters.

Distance can also refer to the amount of work done by a certain force, such as when lifting an object. In this case, the work done is measured in units of Joules, and the force in Newtons. The distance is then calculated by dividing the work done by the force. Therefore, distance is a measure of how far two points are from each other, as well as a measure of the amount of work done by a certain force.

Learn more about Distance here:

https://brainly.com/question/26046491

#SPJ1

determine the vertical acceleration of the cylinder with a weight wa = 53 lb for each of the two cases. neglect friction and the mass of the pulleys. the acceleration is positive if up, negative if down

Answers

The given question states that we have to determine the vertical acceleration of the cylinder with a weight wa = 53 lb for each of the two cases. Neglect friction and the mass of the pulleys.

The acceleration is positive if up, negative if down. What is the formula for acceleration? Acceleration is defined as the rate of change of velocity of an object with respect to time. The formula for acceleration is given by a=Δv/Δt, where a = acceleration (m/s²)Δv = change in velocity (m/s)Δt = change in time (s)To calculate the vertical acceleration of the cylinder, we can use the formula for force, which is given by F = ma, where F = force (N)m = mass (kg)a = acceleration (m/s²) Now, we will calculate the mass of the cylinder using the given weight of wa = 53 lb.1 lb = 0.453592 kg Therefore, wa = 53 lb = 24.0409 kg For the first case, the weight is acting downwards on the cylinder. Therefore, the force on the cylinder can be calculated as F = ma F = 24.0409 kg × 9.8 m/s²F = 236.03 N Now, we can use this force to calculate the acceleration of the cylinder. a = F/ma = 236.03 N/24.0409 kg a = 9.8 m/s²Therefore, the vertical acceleration of the cylinder for the first case is 9.8 m/s², which is positive as it is upwards. For the second case, the weight is acting upwards on the cylinder.

Therefore, the force on the cylinder can be calculated as F = maF = 24.0409 kg × 9.8 m/s²F = 236.03 N Now, we can use this force to calculate the acceleration of the cylinder. a = F/ma = 236.03 N/24.0409 kga = -9.8 m/s²Therefore, the vertical acceleration of the cylinder for the second case is -9.8 m/s², which is negative as it is downwards.

Learn more about determine the vertical acceleration at: brainly.com/question/14640827

#SPJ11

you are running around a track at 5 km/h and then you increase your speed to 10 km/h. by what factor did you increase your kinetic energy?

Answers

As a result, when you raised your speed form 5 km/h into 10 km/h, you increased the kinetic energy from a factor of 4.03.

What exactly is kinetic energy?

The energy of motion is kinetic energy, which can be observed in the motion of an object or subatomic particle. All particles & moving objects contain kinetic energy. When something moves, whether it's a person walking, an baseball flying through the air, an piece of bread falling out of a table, or charged particles inside an electric field, it has kinetic energy.

What are the four forms of kinetic energy?

Radiant, thermal, acoustic, electrical, and mechanical kinetic energy are the five main categories.

To know more about kinetic energy visit:

https://brainly.com/question/26472013

#SPJ1

For a given mass of a gas at a constant temperature, if the volume,′ V′ becomes three times then pressure P will become: a. 3Pb. P/3c. 3P/Td. 9P

Answers

According to Boyle's law, the pressure of a gas is inversely proportional to its volume at constant temperature. The correct answer is Option: (b).

If the volume of a gas at a constant temperature becomes three times larger, the pressure of the gas will decrease to the one-third of its initial value. Thus, the correct answer is Option: (b) P/3. This relationship can be mathematically represented as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the new pressure and volume, respectively. Therefore, if V2 = 3V1, then the  P2 = P1/3.

To know more about Boyle's law, here

brainly.com/question/30367133

#SPJ4

which wavelength of laser light can be used with the photodiode detector in the atomic force microscope?

Answers

The wavelength of laser light that can be used with the photodiode detector in the atomic force microscope is 635nm.

A photodiode is a device that converts light energy into electrical energy by absorbing photons. When photons fall on a photodiode, electron-hole pairs are produced in it. The diode's p-n junction facilitates the flow of these pairs of electrons, which leads to the creation of photocurrent. Photodiodes are frequently employed in cameras, solar cells, medical equipment, and even in AFM machines. A photodiode is a transducer that is sensitive to light. It is made up of a p-type semiconductor and an n-type semiconductor, with a thin insulating layer in between that, is sensitive to light. Photodiodes are similar to regular diodes in terms of current flow. When light photons hit the diode, they are absorbed, resulting in a change in its electrical properties. There are a variety of wavelengths used in microscopes, depending on the type and purpose of the microscope.

The selection of the right wavelength of light to use in a microscope can enhance the contrast and resolution of the image. However, in the atomic force microscope, the 635nm wavelength is utilized with the photodiode detector to obtain a high-resolution image. The AFM microscope employs a laser to achieve high spatial resolution. The beam is directed at the sample, and the laser light is reflected off the sample's surface and onto the detector. The displacement of the cantilever is detected by the photodiode detector.

Learn more about  wavelength of laser light at: brainly.com/question/30446373

#SPJ11

which is greater? the annual energy usage of the earth, or the energy released by the sun in 1 second?

Answers

The energy released by the sun in one second, also known as the solar luminosity, is much greater than the annual energy usage of the earth.

The solar luminosity is estimated to be about 3.8 x 10^26 watts, while the total energy usage of the earth is estimated to be around 157,481 terawatt-hours per year, or about 18 x 10^12 watts. This means that the energy released by the sun in just one second is many orders of magnitude greater than the total energy used by all human activities on earth in a year. The sun's enormous energy output is what drives most of the physical and biological processes on our planet.

To know more about solar luminosity , here

brainly.com/question/19339399

#SPJ4

a red laser pointer has a wavelength of 650 nm . the laser beam leaves the laser through a 1.0- mm -diameter aperture. what would be the width of the laser beam after traveling from the earth to the moon, 384,000 km away?

Answers

A red laser pointer with a wavelength of 650 nm has a width of 3,205,524 km that leaves the laser through a 1.0-mm diameter aperture.

Let's first figure out the diameter of the beam. We know that the aperture of the laser pointer is 1.0 mm in diameter. So, the diameter of the beam leaving the laser is also 1.0 mm.

In this case, we can assume that the laser beam spreads out uniformly in all directions as it travels from Earth to the Moon. Therefore, the diameter of the beam would increase linearly with distance from the source. This increase in diameter is determined by the divergence angle of the beam.

In this case, we can use the following formula to determine the beam diameter after it has traveled a certain distance:

D = D₀ + 2 * L * tan(θ/2)

where D is the diameter of the beam at distance L from the source, D₀ is the diameter of the beam at the source, λ is the wavelength of the light, and θ is the divergence angle of the beam.

As we do not know the divergence angle, we need to make an assumption about it. For a typical laser pointer, the divergence angle can be anywhere between 0.1 and 1 degree. We'll assume a divergence angle of 0.1 degrees, which is on the low end of the range.

Substituting the values we know into the formula, we get:

D = D₀ + 2 * L * tan(θ/2) = 1.0 mm + 2 * 384,000 km * tan(0.1/2) = 3,205,524 km.

The width of the laser beam after traveling from the Earth to the moon, 384,000 km away is 3,205,524 km.

To learn more laser about refer to: brainly.com/question/27353062

#SPJ11

the magnitude of the electric field in an em wave is doubled. what happens to the intensity of the wave?

Answers

"When the magnitude of the electric field in an EM wave is doubled, the intensity of the wave increases by a factor of 4."

The intensity (I) of an electromagnetic wave is given mathematically as,

I = (1/2) ε₀ c E²

where,

ε₀ is the electric constant

c is the speed of light

E is magnitude of the electric field

An electromagnetic wave's intensity will increase by a factor of four if the electric field's magnitude doubles.

I' = (1/2)ε₀c(2E)² = 4(1/2)ε₀ c E² = 4 I

Electromagnetic waves are waves that are usually produced by oscillating electric and magnetic fields. An electromagnetic wave is a combination of electric and magnetic fields that oscillate perpendicularly to each other and to the direction of wave propagation. Light, microwaves, X-rays, and radio waves are the examples of electromagnetic waves.

The power transferred per unit area by an electromagnetic wave is said to be the intensity of the wave. The magnitude of the electric field in an EM wave is connected with its intensity.

Thus, as the magnitude of the electric field in an EM wave is doubled, the intensity of the wave becomes four times of the value.

To know more about electric field:

https://brainly.com/question/28027633

#SPJ4

Which of the following is true about poles on magnets?
O A. North poles attract south poles
O B. No th poles repel south poles.
O c. North soles attract north pales
Do Both Bland Care inte

Answers

Answer: A. North Poles attract south poles

Explanation:

Opposite poles attract
Same poles repel

PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION!

What atoms are found in CO2?

Answers

CO2 contains one carbon atom and two oxygen atoms.

C stands for carbon

O for oxygen

Stands for carbon and oxygen

Must an object be rotating to have a nonzero moment of inertia?

Answers

No, an object does not have to be rotating to have a nonzero moment of inertia. Moment of inertia is the property of an object that describes its resistance to rotational motion about an axis. It is calculated by summing up the product of the mass of each particle in the object and its distance from the axis squared. The formula for the moment of inertia is I = Σmr².

The moment of inertia depends on the mass distribution of an object. If the mass is evenly distributed around the axis of rotation, then the moment of inertia is the same in all directions. However, if the mass is concentrated at a distance from the axis, then the moment of inertia will be higher.Even if an object is not rotating, it still has a moment of inertia. This is because the moment of inertia depends only on the mass distribution and not on the motion of the object.

For example, a solid sphere and a hollow sphere of the same mass and radius have different moments of inertia, even though they are not rotating.The moment of inertia is an important property in physics, as it is used to calculate the torque required to produce a given angular acceleration. It is also used to predict the motion of objects in rotational motion, such as spinning tops, gyroscopes, and planets.


To know more about Moment of inertia click here

brainly.com/question/13449336

#SPJ11

A hydroelectric power plant needs to provide 9.8•10^9 J of electricity every hour. The efficiency of the power plant is 90% The water falls 40m to the turbine.

A) What is the power output of the power plant in watts?
B) What is the actual power that must be supplied by the water to produce this power?
C) How much water must pass through the power plant’s turbine every second in order to provide this amount of power?

Answers

According to the information, the power output of the power plant is 2.44998 x 10^6 W, and the amount of water that must pass through the power plant’s turbine every second in order to provide this amount of power is 6.9497 x 10^3 kg/s.

How to find the power output of the power plant in watts?

A) To find the power output of the power plant in watts, we can use the formula:

Power output = Efficiency x Power input

where the power input is the energy input per unit time, which in this case is the energy provided per hour. We need to convert this to Joules per second (Watts). So:

Power input = 9.8 x 10^9 J/hour = 2.7222 x 10^6 J/s

Now we can plug in the given efficiency:

Power output = 0.9 x 2.7222 x 10^6 J/s = 2.44998 x 10^6 W

Therefore, the power output of the power plant is 2.44998 x 10^6 W.

How much power must be supplied by the water?

The actual power that must be supplied by the water to produce this power can be found by using the formula:

Power input = Power output / Efficiency

We can use the value of the efficiency already given, so:

Power input = 2.44998 x 10^6 W / 0.9 = 2.7222 x 10^6 W

Therefore, the actual power that must be supplied by the water to produce this power is 2.7222 x 10^6 W.

C) To find out how much water must pass through the power plant’s turbine every second in order to provide this amount of power, we need to use the formula:

Power input = mass flow rate x g x h

where mass flow rate is the amount of water flowing per second, g is the acceleration due to gravity (9.81 m/s^2), and h is the height of the water fall (40m).

We can rearrange the formula to solve for the mass flow rate:

mass flow rate = Power input / (g x h)mass flow rate = 2.7222 x 10^6 W / (9.81 m/s^2 x 40m) = 6.9497 x 10^3 kg/s

Therefore, the amount of water that must pass through the power plant’s turbine every second in order to provide this amount of power is 6.9497 x 10^3 kg/s.

Learn more about hydroelectric power in: https://brainly.com/question/15228003

#SPJ1

Grandma Dynamite accelerates her bus from a dead start to 90 m/sec in just 12 seconds. What is her acceleration?

Answers

The acceleration in this instance is 7.5 meters per second square, which is a measure of the ratio of change in velocity with regard to time.

In physics, acceleration is the rate at which the velocity of an entity changes in relation to time. According to Newton's Second Law, the sum of all forces operating on an object results in its acceleration. Meter per second squared (m s2) is the measure of acceleration used in the SI system. Accelerations add according to the parallelogram law because they are vector variables (they have a magnitude and direction). The calculated net force is a vector that is equivalent to the product of the object's acceleration and mass, both of which are scalar quantities.
We are given:- initial velocity (u) = 0m/s
Final Velocity (v)= 90m/s
Time= 12s.
Therefore the acceleration is:-
90/12= 7.5 m/s^2.
Hence the acceleration is 7.5m/s^2.

To know more about acceleration go through:-

https://brainly.com/question/460763

#SPJ4

a circuit in a home provides power to a light fixture. the homeowners want to use a compact fluorescent bulb instead of an incandescent bulb. compact fluorescent bulbs can produce as much light as incandescent bulbs but with less energy. how is this possible?(1 point) responses fluorescent bulbs have been designed to put out more energy than they receive. fluorescent bulbs have been designed to put out more energy than they receive. fluorescent bulbs produce other forms of energy, too, including heat. fluorescent bulbs produce other forms of energy, too, including heat. energy is destroyed when it passes through an incandescent bulb. energy is destroyed when it passes through an incandescent bulb. incandescent bulbs produce other forms of energy, too, including heat. incandescent bulbs produce other forms of energy, too, including heat.

Answers

A circuit in a home provides power to a light fixture. The homeowners want to use a compact fluorescent bulb instead of an incandescent bulb. compact fluorescent bulbs can produce as much light as incandescent bulbs but with less energy because: it makes them a more cost-effective choice over time.

The homeowners want to use a compact fluorescent bulb instead of an incandescent bulb. Compact fluorescent bulbs can produce as much light as incandescent bulbs but with less energy. Fluorescent bulbs have been designed to put out more energy than they receive. This makes them a more efficient light source than incandescent bulbs.

Unlike incandescent bulbs, fluorescent bulbs produce less heat and use less electricity. Fluorescent bulbs produce light by exciting mercury vapor. The mercury vapor emits ultraviolet light, which is converted into visible light by a phosphor coating on the bulb's interior. This process uses less energy than an incandescent bulb, which produces light by heating a filament until it glows.

Fluorescent bulbs can also last much longer than incandescent bulbs, which makes them a more cost-effective choice over time. Overall, fluorescent bulbs are a more efficient and environmentally friendly choice for lighting compared to incandescent bulbs.

To know more about circuits refer here:

https://brainly.com/question/12608491#

#SPJ11

What is the quantum physics observer paradox?

Answers

Answer:

“The paradox means that if quantum theory works to describe observers, scientists would have to give up one of three cherished assumptions about the world,” said Associate Professor Eric Cavalcanti, a senior theory author on the paper.

the spacing between atomic planes in a solid is of similar length-scale to the wavelength of which type of electromagnetic radiation? the spacing between atomic planes in a solid is of similar length-scale to the wavelength of which type of electromagnetic radiation? visible light radio waves gamma rays infrared radiation ultraviolet light x-rays

Answers

The spacing between atomic planes in a solid is of a similar length scale to the wavelength of X-rays.

X-rays have a very short wavelength, typically on the order of 0.1 to 10 nanometers, which is similar in length scale to the spacing between atomic planes in a solid. This makes X-rays ideal for studying the structure of crystals and other materials, as they can be diffracted by the regularly spaced planes of atoms in a crystal lattice, producing a diffraction pattern that can be analyzed to determine the crystal structure.

Learn more about wavelength:

https://brainly.com/question/25697908

#SPJ11

Other Questions
Write a paragraph (68 sentences) in response to ONE of the following writing prompts. Develop the paragraph using specific details and relevant examples.a. What are the essential qualities of a good leader? What are the qualities of a bad or corrupt leader?b. What freedoms do you have as a citizen of the United States? Do you think Americans have too much freedom or not enough? Why? how should this service affect the unemployment rate? b. suppose everybody in the working-age population has access to www.monster. would you expect unemployment to be eliminated? explain. telephone calls arrive at an information desk at a rate of per minute. what is the probability that the next call will arrive within 7 minutes? round to four decimal places as needed. Read this outline from a section of a passage.I. Overfishing A. Causes of overfishing 1. Take as many fish as you want; throw out or kill what you do not want; do whatever harm you want: these attitudes have all too often ruled the seas. 2. Currently, only 1.6% of our oceans are protected through international agreements; no fishing is allowed within these areas. 3. Fishing is regulated in approximately one-third of the earths seas, under national or international laws. 4. The vast majority of our planets waters are an unprotected free-for-all. 5. Chart: "The World's Oceans" (percentage of ocean that is protected, covered by law, and unprotected)What features show this is an example of scientific writing?It uses historical information to educate the reader about current events.It presents the information in a way that is provocative.The author uses facts, statistics, and charts to support her claims.The topic is light and current and will likely entertain most readers. Read the sentence. our band practices on mondays at josefs thursdays at lenas and saturdays at my house. what is the correct way to punctuate the sentence? a. our band practices on mondays at josefs, thursdays at lenas, and saturdays at my house. b. our band practices on: mondays at josefs, thursdays at lenas, and saturdays at my house. c. our band practices on mondays at josefs; thursdays at lenas; and saturdays at my house. d. our band practices on mondays: at josefs,thursdays: at lenas, and saturdays: at my house. The picture is below helo please show work 101810+2x2y+4What is the value of x?a) 3b) 4c) 6d) 8 example of Tigsik (native language /bicol) BRAINLIST! HELP PLEASEWhat do you think when you see this quote Topic: Anti abortion But it roes own terms, we have arrived at a much different point in the development of mans knowledge about life in utero. QUESTION IS ON PHOTO!!! HURRY!!!! Make a word that means "an animal that uses two legs forwalking." According to Document A, what did Moctezuma say to Corts? Below are the 5 warmest and coldest temperatures recorded in DC last year.WARMEST: 98, 97, 102, 98, 97COLDEST: 12, 14, 9, 7, 12What is the difference between the mean of the warmest and coldest days recorded? (enter your answer below) Supply the maxima set from the following set of points:{(7, 2),(3, 1),(9, 3),(4, 5),(1, 4),(6, 9),(2, 6),(5, 7),(8, 6)} your recipe calls for 3 tablespoons of milk, but you are planning to quadruple your recipe and will truly need 12 tablespoons. you decide it may be easier to convert the tablespoons to cups than to measure 12 tablespoons. how many cups of milk will you need? what optical power of eyegalss lens is needed to correct vision of a nearsighted person whose far point is 30cm What is the first search engine on the internet elliptical editing presents action in such a way that it a sample of gas has a volume of 12L and a pressure of 1atm. if the pressure of a gas is increased to 2atm, what is the new volume of gas?