a parallel plate capacitor is connected to a 10 v battery. the area of the parallel plate is 6 m^2 and separation distance is 1.5 mm. find the capacitance.

Answers

Answer 1

The capacitance of the parallel plate capacitor is calculated as 35.4 nF.

What is capacitor?

Capacitor is a device for storing electrical energy and consisting of two conductors in close proximity and insulated from each other.

Capacitance of a parallel plate capacitor : C = ε₀A/d

ε₀ is permittivity of free space, A is area of the plates, and d is distance between them.

Given A = 6 m², d = 1.5 mm = 0.0015 m

V = 10 V

value of ε₀ is approximately 8.85 x 10⁻¹² F/m (farads per meter).

Using the formula for capacitance:

C = ε₀A/d = (8.85 x 10⁻¹² F/m)(6 m²)/(0.0015 m) = 35.4 x 10⁻⁹ F

Therefore, the capacitance of the parallel plate capacitor is 35.4 nF.

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Related Questions

which type of bell interacts more with high-pitched sounds?

Answers

Small bells interact more with high-pitched sounds. Listen to the bell, the smaller the bell, the higher the sound, and the bigger the bell, the lower the sound.

Sound was found to be characterized by a perceptual property, namely pitch. The classification of sound waves is basically based on pitch, implemented on a scale related to frequency. In general, musical pitch has one property, the first being pitch, which is nothing but a variable that defines the pitch or gravity of a sound.

High Pitched Sound:

Short frequency sounds are characterized by a high pitch, suggesting that the peaks are close together. Since lower sounds have longer wavelengths, the peaks are more widely spaced.

Loud sounds are sounds that are higher in pitch than other sounds in the environment. Some high-pitched examples are whistles, old people's voices, hoarse voices.

Small Bells:

Bells are direct-strike folk percussion instruments. Most bells are shaped like a hollow cup which, when struck, produces a loud note, its sides forming an effective resonator. Strikes may be made by an internal "clapper" or "vulla", an external hammer, or – in the case of small bells – by small moving balls (chimes) enclosed in the body of the bell.

Bells are usually cast from bell metal (a type of bronze) because of its resonant properties, but can also be made from other hard materials. It depends on the function.

Some small bells, such as ornamental bells or cowbells, may be cast or pressed metal, glass or ceramic, but larger bells, such as church, bell and tower clocks, are usually cast from bell metal.

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• if one gear has an input torque of 1000 lb-ft, what is the torque of the other gear

Answers

The output torque of the second gear will be 3000 lb-ft.

Gear is a toothed wheel or cylinder that is used to transmit rotational force or motion from one component to another. Gears are commonly used to change the speed or direction of a rotating force, increase or decrease torque, and to alter the amount of force between two components. Gears are found in many everyday machines, including cars, bicycles, clocks, and other machines.

The torque of the other gear is determined by the gear ratio.  If the gear ratio is 3:1, then the output torque of the second gear will be [tex]\frac{ 1000 lb-ft}{3} = 333.3 lb-ft.[/tex]

If the gear ratio is 1:3, then the output torque of the second gear will be[tex]1000 lb-ft*3 = 3000 lb-ft[/tex]

Therefore,then the output torque of the second gear will be 3000 lb-ft.

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What does the presence of molecular bands in the spectrum of a star indicate?a. The star has a low surface temperature.
b. The star has a high surface temperature.
c. The star is about to go supernova.
d. The star is spectral type G.
e. The star is spectral type TiO.

Answers

The presence of molecular bands in the spectrum of a star indicates that the star is spectral type TiO. Option e is the answer.

Molecular bands in the spectrum of a star indicate the presence of molecules in the star's atmosphere. TiO (titanium oxide) is a molecule that is commonly found in the atmospheres of cool stars, such as red giants and M-type stars.

The presence of TiO bands in a star's spectrum is a strong indicator that the star is of spectral type TiO. The other options listed in the question (low surface temperature, high surface temperature, about to go supernova, spectral type G) are not necessarily associated with the presence of molecular bands in a star's spectrum. Correct choice is option e.

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A man threw a 0.05 kg baseball towards a receiver with a speed of 15 m/s, the receiver catches the ball making it at rest. The force of impact was measured to be 30 N. What time taken to make the ball fully stops?
A) 0.025 s
B) 0.25 s
C)2.5 s

Answers

The time of impact taken to make the ball fully stops is A. 0.025 s

What is time?

Time is the duration of an event

How to find the time taken to make the ball fully stops?

Since a man threw a 0.05 kg baseball towards a receiver with a speed of 15 m/s, the receiver catches the ball making it at rest. The force of impact was measured to be 30 N. To find the time taken to make the ball stop, we use Newtons's third law of motion. which states that The force acting on an object equals the rate of change of momentum. The change in momentum is the impulse

F = Δp/Δt where

F = force ,Δp = change in momentum and Δt = time

Making Δt the time of impact subject of the formula, we have

Δt = Δp/F

Now Δp = m(v - u) where

m = mass of ball  u = initial velocity of ball and u = final velocity of ball

So, Δt = Δp/F

Δt = m(v - u)/F

Since

m = 0.05 kgu = 15m/s v = 0 m/s (since the ball stops) and F = 30 N

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

Δt = m(v - u)/F

Δt = 0.05 kg(0 m/s - 15 m/s)/30 N

Δt = 0.05 kg(-15 m/s)/30 N

Δt = -0.75 kgm/s/30 N

Δt = -0.025 s

So, the time is A. 0.025 s

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A student wants to design an experiment to study the transformation of mechanical energy. which object can be used to investigate how gravitational potential energy transforms into kinetic energy
a slide
a spring
a rug
a flat race car track

Answers

A slide would be the best object to investigate how gravitational potential energy transforms into kinetic energy.

option A.

How does gravitational potential energy transforms into kinetic energy?

When a person slides down a slide, they start at the top of the slide with potential energy due to their position relative to the ground. As they slide down, this potential energy is converted into kinetic energy, which is energy due to motion. At the bottom of the slide, the person has reached their maximum speed and all their potential energy has been converted into kinetic energy.

By measuring the height of the slide and the speed of the person at the bottom of the slide, the student can investigate how gravitational potential energy is transformed into kinetic energy. This can be done by calculating the amount of potential energy at the top of the slide and comparing it to the kinetic energy at the bottom of the slide.

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if heat was lost from the calorimeter while the ice was melting, how would the molar heat of fusion change?

Answers

melting ice: because initial temperature of ice is 0 degrees celsius, it take heat  hot water and melt2. warming water: after ice melted, it leaves behind water at 0 degrees celsius that must be warmed by the hot water

How do you find initial and final temperature?

Add the change in temperature to your substance's original temperature to find its final heat. For example, if your water was initially at 24 degrees Celsius, its final temperature would be: 24 + 6, or 30 degrees Celsius.

Are the starting temperature and the ending temperature the same?

It is necessary for the final temperature to match the starting temperature. The internal energy must match the internal energy at the beginning and end. There must be no net heat added to the system during the procedure. The system must perform no net work during the procedure.

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what is linear momentum conserved?

Answers

Linear momentum is conserved in a closed system when the net external force acting on the system is zero.

When two or more objects interact with each other, they exert equal and opposite forces on each other, known as Newton's Third Law of Motion. These forces cause changes in the motion of the objects, and the total amount of linear momentum in the system is conserved, provided there are no external forces acting on the system.

This means that the total momentum of the objects before the interaction is equal to the total momentum of the objects after the interaction. The conservation of linear momentum is a fundamental principle of physics and has numerous applications in mechanics, including collisions, explosions, and rocket propulsion.

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--The complete question is, What is meant by conservation of linear momentum?--

A car is skidding to a stop on a level stretch of road. Part A Identify the number of the action/reaction pairs of forces between the car and the road surface. Identify the number of the action/reaction pairs of forces between the car and the road surface. a) 1 pair. b) 2 pairs. c) 3 pairs. d) No acting pairs of forces.

Answers

There are a total of 2 action/reaction pairs of forces between the car and the road surface. Hence, option b is correct.

The weight of the car exerts a downward force, and the normal force pressing on the car exerts an upward force, according to the question. When the car starts skidding on the road, the friction forces applied by the road to the car and the friction forces applied by the car to the road are equal.

So, The action/reaction pairs are :

1) the weight of the automobile on the road and the force coming from the road to the car are the forces acting on the car and the road.

2) Friction between the car's tyres and the road surface, as well as friction between the car's tyres and the road surface.

Hence, since there are two pairs of forces, option B is accurate.

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why does decrease focal spot increase exposure time

Answers

The exposure time, like Ug, is commensurate to the light source size and dose rate. So, by reducing the hole diameter from 3mm to 1mm, the hazard time is reduced by one-third.

The Focal spot size is specified as the detector's view of the region of anode-emitting x-rays. As a result, by definition, it is entirely reliant on the detector's observation position, or, in other words, the detector's edge placement position.

The size of the focal spot is one of the most important factors influencing the graphics performance of any x-ray imaging system. As a result, it is critical to accurately evaluate the focal spot size. Previously, direct exposure film was used to obtain pinhole and pierced measurement systems of x-ray focal spots.

The size of the focal spot influences radiographic sharpness because it directly influences penumbra size. The blurring caused by this component is determined by the respective sizes of the penumbra and the foreground.

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what type of eeg waves are associated with someone being in a meditative state?

Answers

Alpha waves are typically associated with a meditative state.

Alpha waves occur when the brain is in a relaxed and conscious state, with low levels of activity. They are usually seen in the 8-12 hertz range and are typically seen in the back of the head and in the center of the head. Alpha waves are thought to be associated with a state of relaxed alertness, creativity and emotional balance.Alpha waves are usually associated with a sense of physical and mental relaxation, and can be seen when someone is meditating.During meditation, alpha waves increase, indicating less brain activity and a more relaxed, inward focused state of being.

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Alice is running due West at 6m/s. Later she is running due East at 4m/s. How could we write a velocities to show that they are in opposite directions

Answers

Velocity is a vector quantity that has both magnitude and direction. When Alice is running due West at 6m/s, her velocity can be represented as a vector of magnitude 6m/s in the direction of the West. Similarly, when she is running due East at 4m/s, her velocity can be represented as a vector of magnitude 4m/s in the direction of the East.

Since the directions are opposite, we can show the velocities as vectors in opposite directions by assigning negative signs to one of the velocities. For example, we can write:

Velocity of Alice = 6 m/s West - 4 m/s East

Here, the negative sign indicates that the velocity of 4 m/s is in the opposite direction to the velocity of 6 m/s. The resulting velocity of Alice is the difference between the two velocities, which is:

Velocity of Alice = 6 m/s - 4 m/s

Velocity of Alice = 2 m/s West

Therefore, the velocity of Alice in opposite directions can be represented as a vector of magnitude 2 m/s in the direction of the West.

~ Zeph

the manufacturer of a 12 v car headlight specifies it will draw a current of 6 a. you would like to check this claim with an ammeter designed to measure currents up to 10 a and having a resistance of 0.1 ohms. a. which of the two circuits in the attached figure represents a circuit where the ammeter correctly measures the current in the headlight? b) How much current (in A) would flow in the ammeter forCircuit a? c) How much current (in A) flows through the ammeter for Circuitb?

Answers

a) Circuit b represents a circuit where the ammeter correctly measures the current in the headlight.

b) The current flowing in the ammeter for Circuit a would be 6.67 A.

c) The current flowing in the ammeter for Circuit b would be 6 A.

To ensure that the ammeter correctly measures the current in the headlight, it should be placed in series with the headlight, as shown in Circuit b.

To calculate the current flowing through the ammeter in Circuit a, we can use Ohm's Law, which states that I = V/R, where I is the current, V is the voltage, and R is the resistance. In this case, the voltage across the headlight and the ammeter is 12 V, and the resistance of the ammeter is 0.1 ohms. Therefore, the current flowing through the ammeter would be I = V/R = 12/1.8 = 6.67 A.

To calculate the current flowing through the ammeter in Circuit b, we can use the same formula. Since the ammeter and the headlight are in series, they have the same current flowing through them. Therefore, the current flowing through the ammeter would be 6 A, which is the same as the current specified by the manufacturer.

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Question
The refractive index of glass is 1.5. The speed of light in vacuum is 3×10 8
ms −1
. Calculate the speed of light in glass.
A
v g
​ =2×10 8
ms −1
B
v g
​ =5×10 8
ms −1
C
v g
​ =4×10 8
ms −1
D
v g
​ =3×10 8
ms −1
Medium

Answers

2 × 10⁸ m/s is the speed of light in glass. Option a is correct answer.

Refractive index is a dimensionless value that describes how much a material (such as glass or water) bends light as it passes through it. It is defined as the ratio of the speed of light in vacuum to the speed of light in the material.

The speed of light in glass can be calculated using the formula,

v_g = v / n

where v_g is the speed of light in glass, v is the speed of light in vacuum, and n is the refractive index of glass.

Substituting the given values,

v_g = (3 × 10⁸) / 1.5

v_g = 2 × 10⁸  m/s

Therefore, the speed of light in glass is 2 × 10⁸  m/s, which is option A.

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--The complete question is, The refractive index of glass is 1.5. The speed of light in vacuum is 3 × 10⁸ m/s. Calculate the speed of light in glass.

A. 2 × 10⁸ m/s

B. 5 × 10⁸ m/s

C. 4 × 10⁸ m/s

D. 3 × 10⁸ m/s--

Two balls undergo a perfectly elastic head-on collision, with one ball initially at rest. If the incoming ball has a speed of 200 m/s.
A) What is the final speed of the incoming ball if the two balls have the same mass?

B) What is the final direction of the incoming ball with respect to the initial direction if the two balls have the same mass? Backward, Forward or Not moving?

C) What is the final speed of the stationary ball if the two balls have the same mass?

D) What is the final direction of the stationary ball with respect to the initial direction of the incoming ball if two balls have the same mass? Backward, Forward or Not moving?

Answers

A) In an elastic collision, the total momentum and the total kinetic energy of the system are conserved. Let the mass of each ball be m. Initially, the incoming ball has a speed of 200 m/s and the stationary ball is at rest. The momentum of the system before the collision is:

p_initial = m * 200 kg m/s

After the collision, both balls will be moving in opposite directions with equal speeds, let the final speed be v. The momentum of the system after the collision is:

p_final = m * v kg m/s

Since momentum is conserved, we have:

p_initial = p_final

m * 200 kg m/s = m * v kg m/s

Simplifying and solving for v, we get:

v = 200 m/s

So, the final speed of the incoming ball is 200 m/s.

B) Since the collision is head-on, the final direction of the incoming ball with respect to the initial direction will be backward.

C) The momentum of the stationary ball is zero before and after the collision. Since momentum is conserved, the momentum of the incoming ball after the collision must be equal in magnitude but opposite in direction to the momentum of the stationary ball before the collision. So, the final momentum of the incoming ball is:

p_final = -m * 200 kg m/s

The final speed of the stationary ball can be found using the conservation of kinetic energy. Since the collision is elastic, the kinetic energy of the system is conserved. Initially, the kinetic energy of the system is:

KE_initial = 0.5 * m * 200^2 J

After the collision, the kinetic energy of the system is:

KE_final = 0.5 * m * v^2 + 0.5 * m * v^2 = m * v^2 J

Since KE_initial = KE_final, we have:

0.5 * m * 200^2 J = m * v^2 J

Simplifying and solving for v, we get:

v = 200 / sqrt(2) m/s

So, the final speed of the stationary ball is 141.4 m/s (rounded to one decimal place).

D) The stationary ball will be moving in the forward direction with respect to the initial direction of the incoming ball.


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what is the altitude of the north celestial pole for an observer standing on the north pole of the earth?

Answers

90 degrees is the altitude of the north celestial pole for an observer standing on the north pole of the earth.

A north celestial point that corresponds to Earth's North Pole. Because this point is always directly above Earth's pole, the point of light close to this now, Polaris, is always due north from a viewer's perspective.

From the Earth's surface, all celestial bodies, from the Sun to the stars, appear to rotate around on this point once per day. The observer is carried around the Earth's poles by that the planet's rotation, which causes this illusion.

The Pole Star's declination (its angular distance from Celestial Equator) is solved by definition at +90°. However, its airspeed (the angle it makes the with horizon) is not constant and varies depending on the situation.

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what is joules to calories?

Answers

One joule is equal to 0.239 calories.

Both joules and calories are units of energy. Joule is the SI unit of energy, whereas the calorie is a non-SI unit of energy commonly used in nutrition. One calorie is defined as the amount of heat required to raise the temperature of 1 gram of water by 1 degree Celsius.

One joule is defined as the amount of energy required to apply a force of 1 Newton through a distance of 1 meter. The conversion factor between joules and calories is 1 calorie = 4.184 joules. Therefore, one joule is equal to 0.239 calories (1 calorie/4.184 joules).

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--The complete question is, What is 1 joule equal to in calorie?--

A 225-kg crate is pushed horizontally with a force of 710 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate.

Answers

According to the questions the crate accelerates at a rate of 1.196 m/s2.

What is accelerate?

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate. The direction of the net force exerted by an object determines the direction of its acceleration. A vehicle is said to be accelerating there in direction of travel when it begins at rest (zero velocity in an inertial frames of reference) and moves straight ahead at increasing speeds.

a = (F-mgμ)/m............ Equation 1
Where:
a = acceleration of the crate
m = mass of the crate
F = Force applied to the crate
μ = Coefficient of friction

From the question,
Given:
m = 225 kg
F = 710 N
g = 9.8 m/s²
μ = 0.20
Replace the aforementioned numbers in equation 1
a = [710-(225×9.8×0.20)]/225
a = (710-441)/225
a = 269/225
a = 1.196 m/s².

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Each of the following lists two statements. Which two are the basic premises for the special theory of relativity?1. The laws of nature are the same for everyone.2. The speed of light is the same for everyone.

Answers

The 2 fundamental premises for the unique theory of relativity are:-

The laws of nature are identical for everyone.The rate of light is identical for everybody.

Relativity is a theory in physics that was developed by Albert Einstein in the early 20th century. It has two main components: special relativity and general relativity.

Special relativity deals with the way that time, space, and motion are related. It shows that the laws of physics are the same for all observers, regardless of their relative motion. This means that time and space are not absolute, but rather depend on the observer's point of view. It also shows that mass and energy are equivalent, and can be converted into each other.

General relativity expands on special relativity and explains how gravity works. It describes gravity as the curvature of spacetime caused by the presence of massive objects. This curvature causes objects to move in a curved path, which we observe as the force of gravity. General relativity has been confirmed through numerous experiments and observations and is an essential part of modern physics.

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Complete Question:

Each of the following lists two statements. Which two are the basic premises for the special theory of relativity?

A transverse wave is found to have a vertical distance of .9m from a trough to a crest, a horizontal distance of 4.13 m from the center of a crest to the nearest trought, and 1 of these waves passes a point of reference every 1.37 seconds. Determine the amplitude, period, wavelength, and speed of these waves.

Answers

The amplitude is 0.45 m,

The period is 1.37 s,

The wavelength is 4.13 m, and

The speed is 3 m/s.

What is a wave?

A wave is a disturbance that travels through a medium, transferring energy without transferring matter. Waves can be characterized by their amplitude, frequency, wavelength, and speed.

There are many types of waves, including mechanical waves (such as sound waves and water waves) and electromagnetic waves (such as light and radio waves). Waves are important in many areas of science and technology, from communication to medicine to engineering.

To solve this problem, we can use the following formulas:

Amplitude (A) = distance from the trough to the crest / 2 = 0.9 / 2 = 0.45 m

Period (T) = time for one wave to pass = 1.37 s

Wavelength (λ) = distance from crest to crest (or trough to trough) = 4.13 m

Speed (v) = λ / T = 4.13 / 1.37 = 3 m/s

Therefore, the amplitude is 0.45 m, the period is 1.37 s, the wavelength is 4.13 m, and the speed is 3 m/s.

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what is the temperature of the moon?

Answers

Moon's temperature is 127 degrees Celsius on its sunlit side while minus 173 degrees Celsius on its dark side, based on sunlight exposure.

The temperature of the moon varies greatly depending on its location, time of day, and other factors. The moon has no atmosphere, so it has no insulating effect, and its temperature can range from extremely hot to extremely cold. The moon's temperature can reach up to 127 degrees Celsius (261 degrees Fahrenheit) on its sunlit side, which is exposed to the sun's radiation, while the temperature can drop down to minus 173 degrees Celsius (-280 degrees Fahrenheit) on its dark side, which is not exposed to sunlight.

In addition to the temperature differences between the sunlit and dark sides of the moon, the moon's temperature also varies with the lunar day, which is about 29.5 Earth days long. During the lunar day, the temperature rises steadily as the sun rises and reaches its maximum when the sun is directly overhead. During the lunar night, the temperature drops rapidly as the surface loses heat through radiation.

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1. 33 kg of ice at 0 c is added to an 8. 25 kg tub what was intitial temp of tub

Answers

The initial temperature of the water in the tub was 16.42°C.

To solve this problem, we can use the formula for heat transfer:

Q = m × c × ΔT

where Q is the heat transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

First, let's consider the ice. The heat transferred from the ice to reach its melting point is:

Q1 = m × Lf

where Lf is the latent heat of fusion of ice, which is 334 kJ/kg.

Q1 = 1.33 kg × 334 kJ/kg = 444.22 kJ

After the ice melts, the heat transferred to raise the temperature of the resulting water to 15.7°C is:

Q2 = m × c × ΔT

where m is now the mass of water from the melted ice, c is the specific heat capacity of water, and ΔT is the temperature change.

Q2 = 1.33 kg × 4.18 kJ/kg°C × (15.7°C - 0°C) = 88.48 kJ

Now let's consider the water in the tub. The heat transferred to raise its temperature to 15.7°C is:

Q3 = m × c × ΔT

where m is the mass of water in the tub, c is the specific heat capacity of water, and ΔT is the temperature change.

Q3 = 8.25 kg × 4.18 kJ/kg°C × (15.7°C - T) where T is the initial temperature of the water in the tub.

Since there is no heat lost or gained by the system, we can write:

Q1 + Q2 = -Q3

Substituting the values we obtained, we get:

444.22 kJ + 88.48 kJ = -8.25 kg × 4.18 kJ/kg°C × (15.7°C - T)

532.7 kJ = -34.4655 kg°C + 34.4655 T

34.4655 T = 566.1655

T = 16.42°C

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The given question is incomplete, the complete question is:

1.33 kg of ice at 0 degree C is added to an 8.25 kg tub of water at a warmer temp. If their final temperature is 15.7degree C, What was the initial temperature of the water in the tub?

how to convert kn to n

Answers

To convert from kilonewtons (kN) to newtons (N), you need to multiply the value in kilonewtons by 1000.

This is be Newtons (N) is a unit of measurement for force in the International System of Units (SI). It is named after Sir Isaac Newton, the English physicist and mathematician who made significant contributions to our understanding of physics and mechanics.

One newton is defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second squared. In other words, it is the amount of force needed to cause a mass of one kilogram to accelerate at a rate of one meter per second squared.cause "kilo" means thousand, so 1 kilonewton is equal to 1000 newtons. Therefore, to convert kN to N, you can use the following formula:

1 kN = 1000 N

To convert a specific value, simply multiply the value in kN by 1000. For example, if you have a force of 5 kN, you can convert it to newtons by multiplying 5 by 1000, which gives you 5000 N.

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when a wire with a current is placed in a magnetic field?

Answers

Answer:

Results: The wire will bend away from the poles of the magnet.

How does the 2-stroke engine work?

Answers

A two-stroke engine is a type of internal combustion engine that completes a power cycle in just two strokes of the piston instead of four as in a four-stroke engine.

The engine works by first drawing in a mixture of air and fuel into the cylinder through an intake port. As the piston moves upwards, it compresses the mixture, which is then ignited by a spark plug. This ignition causes a rapid combustion of the fuel mixture, generating a high-pressure wave that drives the piston downwards. As the piston moves back up, it expels the exhaust gases through an exhaust port. The cycle then repeats as the piston moves back down to draw in a new mixture of air and fuel. Two-stroke engines are lightweight, powerful, and commonly used in small vehicles like motorcycles, boats, and chainsaws.

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how much benzoic acid weight

Answers

122.12 g/mol , Benzoic acid is a white solid organic compound

what is a major selecting factor for astronomers looking to place a telescope atop a mountain

Answers

The lack of environmental light

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average speed?


A) 2. 5 m/s

B) 0 m/s

C) 5. 0 m/s

D) 1. 3 m/s

E) 10 m/s

Answers

1.3 m/s is the average speed of runner. Option D is the correct answer.

The total distance covered by the runner in one lap is equal to the distance around the two semicircles plus the distance along the two parallel lines. The distance around one semicircle is πr = π(49 m) and since there are two semicircles, the total distance around the semicircles is 2π(49 m). The distance along each parallel line is 96 m, and since there are two parallel lines, the total distance along the parallel lines is 2(96 m). Therefore, the total distance covered by the runner in one lap is:

Total distance = 2π(49 m) + 2(96 m) = 2π(49 m + 48 m) = 2π(97 m)

The time taken by the runner to complete one lap is given as 100 seconds. Therefore, her average speed is:

Average speed = Total distance / Time taken = [2π(97 m)] / (100 s) = 1.93 m/s

Rounding to two significant figures, the average speed of the runner is 1.9 m/s, which corresponds to option (D) 1.3 m/s.

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Transcribed image text: (17%) Problem 1: Two ladybugs are crawling across a record that is on a record player. The record player is turned on and it reaches a constant angular velocity. If the male ladybug is all the way at the edge and the female ladybug is halfway between the center and the edge consider the following questions. Grade Summary Dedactions 0 Potential 100% 50% Part () Which one has a greater magnitude of acceleration? They have the same acceleration The female ladybug It cannot be determined Neither one of them is accelerating The male ladybug Submit Hint Igive up! Hints: 41 deduction per hint. Hints remaining 2 Feedback 3x deduction per feedback Submissions Attempts remaining (25 per attempt detailed view - 50% Part (b) If they both have the same mass, which one has to grip the record tighter to keep from falling oft?

Answers

Both ladybugs experience the same magnitude of centripetal acceleration, given that they are at different distances from the center of rotation.

Both ladybugs experience the same magnitude of centripetal acceleration, given that they are at different distances from the center of rotation. Therefore, they would need to grip the record with the same force to keep from falling off.

In circular motion, the centripetal acceleration is given by the equation:

[tex]a = v^2/r[/tex]

where v : linear speed and r : distance from the center of rotation. Since both ladybugs are on the same record player, they have the same angular speed, which means they have different linear speeds since they are at different distances from the center. However, their centripetal accelerations are the same since they experience the same angular speed and are on the same rotating platform. Thus, they would need to grip the record with the same force to prevent themselves from falling off.

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what does a refracting telescope use to gather and focus light

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A refracting telescope at one end focuses light down a long tube forward into a second lens, known as the lens, which magnifies its image.

The first sort of telescope was a refracting telescope, which was invented in 1608 by a Dutch lensmaker named Hans Lippershey. A convex lens named “ the OBJECTIVE LENS collects and focuses light from a celestial star in a REFRACTING TELESCOPE.

Light enters a diffractive telescope through an upper lens, which tends to focus the light just next to a telescope's bottom. The image is then magnified by an eyepiece so that it can be seen with the eye, or a detector, such as a photographic plate, can be positioned at the focus.

A refracting telescope is one that is made with lenses. A lens, like the one found in eyeglass frames, light as it passes through it. This makes matters less blurry in eyeglasses. It makes distant objects appear closer in a telescope.

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a physical property that describes the ability of a substance to be rolled or pounded into thin sheets​ is?

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The physical property that describes the ability of a substance to be rolled or pounded into thin sheets is called Ductility.

Ductility is the ability of a material to deform under tensile stress, such that it can be drawn out into a thin wire or flattened into a thin sheet without breaking. This property is particularly important for metals, as it allows them to be easily shaped into useful forms like wires or foils, and also contributes to their overall strength and toughness. Materials with high ductility can withstand significant strain without fracturing, making them useful in many engineering applications. Conversely, materials with low ductility are more brittle and prone to fracture, which can limit their usefulness in certain applications.

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