A 20.0-kg cannon ball is fired from a cannon with a muzzle speed of 100 m/s at an angle of 20.0° with the horizontal. Use the conservation of energy principle to find the maximum height reached by ba

Answers

Answer 1

A 20.0 kg cannonball is fired from a cannon with a muzzle speed of 100 m/s at an angle of 20.0°. Using conservation of energy, the maximum height reached by the cannonball is approximately 510.2 meters.

A cannon ball weighing 20.0 kg is launched from a cannon with an initial velocity of 100 m/s at an angle of 20.0° above the horizontal.

To determine the maximum height reached by the cannonball using the conservation of energy principle, we consider the conversion of kinetic energy into gravitational potential energy.

Initially, the cannonball has only kinetic energy, given by the equation KE = (1/2)mv², where m is the mass and v is the velocity.

At the highest point of its trajectory, the cannonball has no vertical velocity, meaning it has no kinetic energy but possesses gravitational potential energy, given by the equation PE = mgh, where h is the height and g is the acceleration due to gravity (approximately 9.8 m/s²).

Using the conservation of energy, we equate the initial kinetic energy to the maximum potential energy:

(1/2)mv² = mgh

Canceling the mass and rearranging the equation, we find:

v²/2g = h

Plugging in the given values, we have:

(100²)/(2*9.8) = h

Simplifying the equation, we find:

h ≈ 510.2 m

Therefore, the maximum height reached by the cannonball is approximately 510.2 meters.

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Related Questions

4. Explain A girl is jumping on a trampoline. When she is at the top of her jump, her mechanical energy is in what form? Explain why.

Answers

Mechanical energy is of two types,

1. Kinetic energy

2. Potential energy

When the girl is at the top of her jump, the speed of the girl becomes zero.

Thus, the kinetic energy of the girl at the top of her jump is,

\(K=\frac{1}{2}mv^2\)

where m is the mass of the girl and v is her speed,

Substituting the known values,

\(K=0\text{ J}\)

Thus, the kinetic energy of the girl is zero at the top of her jump.

The potential energy of the girl at the top of her jump is,

\(U=\text{mgh}\)

where g is the acceleration due to gravity and h is the height of the girl,

Thus, the potential energy of the girl at the maximum height is maximum.

Hence, the mechanical energy of the girl at the top is in potential energy form because her kinetic energy is zero at the top of her jump.

A ball is thrown straight up from the ground with a speed of 12 meters per second. What is the maximum height reached by the ball?

Answers

Answer:

the maximum height of object is 7.34 meters

a body is thrown down from a tower of height 192 m with initial velocity 2m/s. find the time taken to hit the ground, velocity just before it hits the ground ​

Answers

Answer:

t = 6.47 s

v = 61.38 m/s

Explanation:

List out the variables we have/are given:

Δx = -192 mv₀ = 2 m/sv = ?t = ? a = -9.8 m/s²

We can use this constant acceleration equation that contains Δx, v₀, a, and v to solve for v, the final velocity:

v² = v₀² + 2aΔx

Plug in known values:

v² = (2)² + 2(-9.8)(-192)

Simplify the equation.

v² = 4 +2(1881.6) v² = 3767.2

Take the square root of both sides.

v = 61.37752031

The velocity just before the body hits the ground is 61.38 m/s.

Let's find another equation that contains Δx, v₀, a, t to solve for t, the time:

Δx = v₀t + 1/2at²

Plug in known values:

-192 = (2)t + 1/2(-9.8)t²

Simplify this equation.

-192 = 2t - 4.9t²

Set this equation equal to 0.

0 = -4.9t² + 2t + 192

Factor this equation. You should get:

t = 6.46709390, t = -6.05893064

Since time can't be negative, we will use the positive t value.

The time taken to hit the ground is 6.47 seconds.

Penetration capabilities in...
- Radio Waves
- Microwaves
- Infrared
- Visible light
- Ultraviolet
- X-rays
- Gamma rays

Answers

Ultra = X-ray

Explanation:

how are things going to paint the roof for beginners painting and decorating the whole house so I'm going away with a few sports mates for a couple nights for beginners but will have a look painting at a time and see what is going to be Strong enough

Aluminum oxide consists of two ions chemically bonded together. What are the charges of each ion? O A. Al3+ and 02- B. A12+ and 03- O C. A13- and 02+ O D. A12- and 03+​

Answers

Answer:

a

Explanation:

just did it on a p e x

Aluminum oxide consists of one aluminum ion (Al3+) and two oxygen ions (O2-) chemically bonded together to form the compound Al2O3. The correct option is A.

What is a chemical bond?

A chemical bond is a force of attraction that holds two or more atoms together in a molecule or compound. Atoms can bond together by sharing or exchanging electrons in their outermost energy levels, which is also known as the valence shell.

There are three main types of chemical bonds:

Covalent bond: This bond occurs when two or more atoms share electrons in their outermost energy level. Covalent bonds are strong and are commonly found in molecules of compounds like water (H2O) and methane (CH4).

Ionic bond: This bond occurs when one atom donates one or more electrons to another atom, forming oppositely charged ions that are then attracted to each other. Ionic bonds are strong and are commonly found in compounds like table salt (NaCl) and calcium chloride (CaCl2).

Metallic bond: This bond occurs between atoms of metallic elements, where their outer electrons are delocalized and shared among all the atoms in the metallic structure. Metallic bonds are strong and are responsible for the properties of metals like malleability and conductivity.

Chemical bonds are essential for the formation of molecules and compounds that make up all matter in the universe. Understanding chemical bonds is crucial for fields such as chemistry, biology, and materials science.

Here in the Question,

Option B, "A12+ and O3-", is not true because aluminum ions, in their stable state, lose three electrons to form a +3 ion, not a +2 ion.

Option C, "A13- and O2+", is not true because aluminum ions, in their stable state, lose three electrons to form a +3 ion, not a -3 ion.

Option D, "A12- and O3+", is not true because oxygen ions, in their stable state, gain two electrons to form a -2 ion, not a +3 ion.

Therefore, option A, "Al3+ and O2-", is the correct answer as aluminum oxide consists of one aluminum ion with a charge of +3 and two oxygen ions, each with a charge of -2, that bond together to form the compound Al2O3.

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1. Use your data from the bar magnet by itself to answer the following questions: (a) How would you describe the direction of the magnetic field lines? (b) What is the relationship between the magnetic field density and the distance from the surface? Explain using your data. (c) How does the magnetic field density relate to the magnetic force?

Answers

a) The direction of magnetic field lines is the direction in which the north pole of the magnet points towards the south pole of the other magnet.

b) The relationship between magnetic field density and the distance from the surface is that the magnetic field density decreases as the distance from the surface increases.

c) Magnetic field density and magnetic force are related in that the magnetic force experienced by a charged particle is proportional to the magnetic field density and the velocity of the particle.

a) The direction of magnetic field lines is the direction in which the north pole of the magnet points towards the south pole of the other magnet. The direction of magnetic field lines can be deduced by using a compass, where the north-seeking pole of the compass will align with the magnetic field lines of the magnet.

b) The relationship between magnetic field density and the distance from the surface is that the magnetic field density decreases as the distance from the surface increases. This is supported by the inverse square law which states that the magnetic field density is inversely proportional to the square of the distance from the surface. This means that as the distance from the surface increases, the magnetic field density decreases at a rate proportional to the square of the distance. For example, if the distance is doubled, the magnetic field density will decrease by a factor of four. This relationship can be observed in the data by noting that the magnetic field density decreases as the distance from the surface increases.

c) Magnetic field density and magnetic force are related in that the magnetic force experienced by a charged particle is proportional to the magnetic field density and the velocity of the particle. This is expressed by the equation F = qvB, where F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field density. This means that as the magnetic field density increases, the magnetic force experienced by a charged particle also increases, assuming the velocity of the particle remains constant. This relationship can be observed in the data by noting that the magnetic field density and the magnetic force increase and decrease together, indicating a positive correlation.

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If 2. 0 c of charge passes through a wire in time 0. 25 s, what is the current in the wire?.

Answers

The current flowing in the wire is 8 A.

According to the formula of current, the current is equal to the amount of charge flowing through a wire in a unit of time. Thus, the formula for current can be expressed as; I = Q/t where I = current in Amperes (A); Q = amount of charge in Coulombs (C) t = time in seconds (s). Given, Q = 2.0 C, and t = 0.25 s.

Substituting the above values in the formula; I = Q/t; I = 2.0/0.25; I = 8 A. Therefore, the current flowing in the wire is 8 A.

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Newton’s First Law Scenarios

Taking off from an Aircraft Carrier
The airplane accelerates from 0 to 200 mph in 1.5 seconds. Why are rear-facing passengers' feet tied down? What do their eyes feel like?




Car Accident—Car versus Tree
What happens to the driver's body when his car hits the tree at a high speed?



Car Accident: Rear-end collision
What will happen to the stationary driver who is rear-ended? What device protects him?



Football: Helmet-to-Helmet Collision
What happens to the players' brains inside their skulls?





Roller Coaster Ride
Why does your stomach feel so funny when you go down the big hill?
Why do you feel like you will fly out of your seat at the top of a hill when you are going fast?




Teacups at Disneyland
Why do the riders feel squished together if the teacups spin too fast?

Answers

Answer:Newton’s First Law Scenarios

Taking off from an Aircraft Carrier

The airplane accelerates from 0 to 200 mph in 1.5 seconds.  Why are rear-facing passengers' feet tied down?  What do their eyes feel like?

Because of the speed of the aircraft and how fast its moving  

Car Accident—Car versus Tree

What happens to the driver's body when his car hits the tree at a high speed?

Your body will get slammed forward and into the airbag  

Car Accident:  Rear-end collision

What will happen to the stationary driver who is rear-ended?  What device protects him?

His head will be forced forward that's why they have a airbag and headrests  

Football: Helmet-to-Helmet Collision

What happens to the players' brains inside their skulls?

It rattles and thats whats creates a concussion

Roller Coaster Ride

Why does your stomach feel so funny when you go down the big hill?

Because your stomach rises because of the sudden dip  

Why do you feel like you will fly out of your seat at the top of a hill when you are going fast?

Because the car has more down force  

Teacups at Disneyland

Why do the riders feel squished together if the teacups spin too fast?

Because they are pushed to the outside  

Explanation:Newton’s First Law Scenarios

Taking off from an Aircraft Carrier

The airplane accelerates from 0 to 200 mph in 1.5 seconds.  Why are rear-facing passengers' feet tied down?  What do their eyes feel like?

Because of the speed of the aircraft and how fast its moving  

Car Accident—Car versus Tree

What happens to the driver's body when his car hits the tree at a high speed?

Your body will get slammed forward and into the airbag  

Car Accident:  Rear-end collision

What will happen to the stationary driver who is rear-ended?  What device protects him?

His head will be forced forward that's why they have a airbag and headrests  

Football: Helmet-to-Helmet Collision

What happens to the players' brains inside their skulls?

It rattles and thats whats creates a concussion

Roller Coaster Ride

Why does your stomach feel so funny when you go down the big hill?

Because your stomach rises because of the sudden dip  

Why do you feel like you will fly out of your seat at the top of a hill when you are going fast?

Because the car has more down force  

Teacups at Disneyland

Why do the riders feel squished together if the teacups spin too fast?

Because they are pushed to the outside  

Which items are matter?
pls help 50 points

Which items are matter?pls help 50 points

Answers

Answer:

light and heat

Explanation:

because they are bouth cundoctors

A rocket has a mass of 142 kg. If you want to give it an acceleration of 7 m/s2 how much force does the engine need to apply

Answers

994 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 142 × 7

We have the final answer as

994 N

Hace this helps you

A brass rod is encased in aluminum what happens to the speed of a sound wave when it passes though the rod and moves from the brass into the aluminum

Answers

When a brass rod is encased in aluminum  its  speed of a sound wave increases when it passes though the rod and moves from the brass into the aluminum.

speed of sound in solids > speed of sound in liquids > speed of sound in gases.

So, sound travel faster in solids because the molecules are more closer in the solid state.

solid and liquid are less compressible than gas so liquids and solids have much greater bulk modulus than that of gases.

Thus the speed of sound increases when it travel from gases to solids state.

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. How does the intensity of sunlight received affect Earth’s temperatures?

Answers

When the sun's rays strike Earth's surface near the equator, the incoming solar radiation is more direct (nearly perpendicular or closer to a 90˚ angle). Therefore, the solar radiation is concentrated over a smaller surface area, causing warmer temperatures.

A ball is dropped from rest out of a high window in a tall building for 5 seconds. Assuming the we ignore air resistance and assume upwards to be positive. A) What will be the final velocity of the ball B) What is the height of the building if it hits the ground after those 5 seconds. *​

Answers

Answer:

I am not sure if this is the answer

(B) what is the height of the building if it hits the ground after those 5 seconds.

A particle starts to move in a straight line from
a point with velocity 10 m/s and acceleration - 20 m/s²? Find the position and velocity of the
particle at (i) t = 5s, (ii) t' = 10 s.​

Answers

Answer: s(5) = -200,  v(5) = -90

              s(10) = -900, v(10) = -190

Explanation:

Position: s(t)

Velocity:  s'(t) = v(t)                ⇒      \(s(t)=\int {v(t)} \, dt\)

Acceleration     v'(t) = a(t)      ⇒      \(v(t)=\int {a(t)} \, dt\)

We are given that acceleration a(t) = -20   and velocity v(t) = 10

\(v(t)=\int {a(t)} \, dt\\\\v(t)=\int{-20}\, dt\\\\v(t)=-20t + C \\\\v(t)=10\quad \longrightarrow \quad C=10\\\\v(t)=-20t+10\)

\(s(t)=\int {v(t)} \, dt\\\\s(t)=\int {(-20t+10)} \, dt\\\\s(t)=-10t^2+10t\\\\\)

(a) Input t = 5 into the s(t) and v(t) equations

   s(5) = -10(5)² + 10(5)           v(5) = -20(5) + 10

          =  -250  +  50                     = -100   +  10

          =       -200                          =        -90

(b) Input t = 10 into the s(t) and v(t) equations

     s(10) = -10(10)² + 10(10)           v(10) = -20(10) + 10

            =  -1000  +  100                     = -200   +  10

            =       -900                          =        -190

Show that the square of the period of revolution of a satellite is directly proportional to the cube of the orbital radius

Answers

I hope this helps, have a good day
Show that the square of the period of revolution of a satellite is directly proportional to the cube

Answer:

Explanation:

Show that the square of the period of revolution of a satellite is directly proportional to the cube

Which is one characteristic that mars and earth share?.

Answers

There is no options but,
It has seasons, the atmosphere, and evidence of water.

Answer:

they are both rocky

Explanation:

A dart is divided into 6 equal sectors . When a dart lands on it

Answers

i mean you have a 1:6th chance of hitting a part of it

The ice and steam points of an ungraduated thermometer are found to be 192mm apart. Calculate the length of the thermometric liquid above the ice point which will corresond to a temperature of 75 degree Celsius ​

Answers

Answer:

To find the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius, we need to know the size of the temperature interval between the ice point and the steam point, as well as the size of the temperature interval between the ice point and 75 degrees Celsius.

The size of the temperature interval between the ice point and the steam point can be calculated using the formula:

T = (S - I)/R

Where T is the size of the temperature interval, S is the length of the thermometric liquid above the steam point, I is the length of the thermometric liquid above the ice point, and R is the size of the temperature interval per unit length of the thermometric liquid.

Since the ice and steam points of the thermometer are 192mm apart, we know that S - I = 192mm. We also need to know the value of R in order to calculate T.

Once we know the size of the temperature interval between the ice point and the steam point, we can use this value to calculate the size of the temperature interval between the ice point and 75 degrees Celsius.

Let's assume that the size of the temperature interval per unit length of the thermometric liquid, R, is 0.5 degrees Celsius per millimeter. With this value of R, the size of the temperature interval between the ice point and the steam point can be calculated as follows:

T = (192mm - 0mm)/0.5 degrees Celsius/mm = 384 degrees Celsius

Now that we know the size of the temperature interval between the ice point and the steam point, we can use this value to calculate the size of the temperature interval between the ice point and 75 degrees Celsius.

The size of the temperature interval between the ice point and 75 degrees Celsius is 75 degrees Celsius - 0 degrees Celsius = 75 degrees Celsius.

We can now use the size of the temperature interval between the ice point and 75 degrees Celsius, along with the size of the temperature interval per unit length of the thermometric liquid, R, to calculate the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius:

I = (75 degrees Celsius)/(0.5 degrees Celsius/mm) = 150mm

Thus, the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius is 150mm.

3. When water droplets are pushed through sand, gravel and carbon filters is the
water clean and ready to drink? Why or why not?

Answers

Answer:

i think yes, because the sand together with the filters catches all the impurities of the water that will pass through them. (btw sorry for my English, this is translated from my language in translator, so don't mind my English pls)

please help me out with this. ​

please help me out with this.

Answers

To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.

First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:

1/Req = 1/R1 + 1/R2 + 1/R3

Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:

1/Req = 1/22 + 1/22 + 1/22

1/Req = 3/22

Taking the reciprocal of both sides, we find:

Req = 22/3 Ω

Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:

I = V/R

Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:

I = 1.1/32

Calculating this value, we find:

I ≈ 0.034375 A

Therefore, the current in the resistor is approximately 0.034375 A.

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Which of the following correctly describes the horizontal and vertical
motion of an object projected horizontally with a speed, v, from a
height, h?
constant speed for both horizontal and vertical
acceleration for both horizontal and vertical is increasing
constant acceleration for horizontal: constant speed for vertical
constant speed for horizontal; constant acceleration for vertical

Which of the following correctly describes the horizontal and verticalmotion of an object projected horizontally

Answers

Answer:

The horizontal speed is constant because no forces act horizontally.

There is  constant vertical acceleration  (g = 9.8 m/s^2) due to the force of gravity.

Which rock band features member angus young performing in his trademark school uniform? ac/dc.

Answers

Answer: You have the right answer xD

Its AC/DC

A progressive wave equation is represented by y=Asin2π(0. 15t-0. 1x). Find the
period,
amplitude,
frequency,
wavelength,
velocity

Answers

Given that the progressive wave equation is represented by y=Asin2π(0.15t-0.1x). Let's find the period, amplitude, frequency, wavelength, and velocity.

The wave equation is represented by y=Asin2π(0.15t-0.1x). The standard wave equation can be written asy = Asin(kx-ωt + Φ)Where,k = wave numberω = angular frequencyΦ = phase angle for the given equation, k = 0.1 and ω = 0.15.Amplitude:

Amplitude = A = maximum displacement from the mean position.A = 1Frequency: Frequency is the number of complete oscillations made by a point on the wave in one second. It is denoted by f.f = ω/2πFrequency, f = 0.15/2π = 0.0238 HzPeriod: Period is the time taken by one complete oscillation.

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3.) using calories, calculate the how much heat 32.0 g of water absorbs when it is heated from 25.0oc to 80.0oc. how many joules is this?

Answers

The specific heat capacity of water is 1 calorie per gram per degree Celsius. This means that 1 gram of water will absorb 1 calorie of heat for every 1 degree Celsius increase in temperature.

In this case, we have 32.0 grams of water that is heated from 25.0 degrees Celsius to 80.0 degrees Celsius. The change in temperature is therefore 80.0 - 25.0 = 55.0 degrees Celsius.

The amount of heat absorbed by the water is therefore 32.0 x 55.0 = 1760 calories.

To convert calories to joules, we can use the following conversion factor:

1 calorie = 4.184 joules

Therefore, the amount of heat absorbed by the water in joules is 1760 x 4.184 = 7374 joules.

Therefore, the answer to your question is that 32.0 grams of water absorbs 7374 joules of heat when it is heated from 25.0 degrees Celsius to 80.0 degrees Celsius.

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An object is at rest. There are several forces acting on the object, but the net force is zero. If all the
forces acting on the object were to suddenly double in size, would the object start moving? Why or why not?

Answers

It would not. Imagine four forces equal in magnitude but opposite in direction (e.g. north, east, south, and west). If these forces were to double in magnitude they would still have the same magnitude, meaning the net force is still equal to zero.

Answer:

no

Explanation:

because the heaver an object the harder it is to move s the force will not be able to move it

If the temperature in the past was 2.9 C higher than today what would the corresponding change in the Fahrenheit temperature have been?

Answers

Answer:

1 deg C = 5/9 deg F         (Ex. 212 F - 32) * 5/9 = 100

So deg F = 9/5 deg C = 9/5 * 2.9 = 5.2 deg F

There is concern that extra additives in detergents can
have negative health and environmental impacts. Is
it wise to use detergents containing these additives?

Answers

Answer:

Look below.

Explanation:

If additives are having negative effects on health and the environment, it would be wise to not use detergents containing these additives. These additives could threaten living things such as humans and animals.

There is concern that extra additives in detergents can have negative health and environmental impacts, then it would be very unwise to use detergents containing these additives

What is pollution?

It can be defined as the origination of the contaminant substance that poisonous or harmful to our natural environment.

There are several types of pollution that exist in our nature depending on the state and composition of the contaminant, for example, water pollution can exist due to the eutrophication process.

It would be quite unwise to use surfactants that include these additional ingredients since there is fear that they might have a harmful influence on your well-being and the environment.

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1. A capacitor is made of 2 rectangular metal plates with side length of 3cmx6cm separated by a distance of 2. 36cm with water in between the plates. The capacitor has a voltage of 110v and is not connected to a battery. Calculate the capacitance. What is the new capacitance if we replace water with a new dielectric material with a constant of 3. 75 in between the plates? What is the new voltage? What is the charge on each plate?


2. A capacitor of 3. 23µF has an area of 6. 35mm^2. Determine the separation distance between the two plates. If the new capacitance is now 5. 63mF, what is the value of the dielectric inserted to the capacitor? What is the new voltage if the capacitor is connected to a 110 volts source? If the electric field created by two plates 8. 99x10^4 N/C and a working voltage of 63 volts. Will the capacitor experience a dielectric breakdown? Prove your answer.


USE GRESA

Answers

the electric field is more than the threshold value and the capacitor will experience dielectric breakdown.

1. Given values are,
side length of metal plates, a = 3 cm and b = 6 cm
distance between the plates, d = 2.36 cm
voltage, V = 110 V
dielectric constant of water, k = 80.4
dielectric constant of new material, k2 = 3.75
a) To calculate the capacitance of capacitor, the formula is, C=εA/d  ……………… (1)
where A = area of plate, ε = permittivity, and d = separation distance between two plates.
We know that the permittivity of vacuum is given as, ε0 = 8.854 x 10^-12 F/m
The capacitance of capacitor can be expressed as,
C1 = ε0 (kA/d) …………….. (2)
where, ε0 = permittivity of vacuum, k = dielectric constant and A = area of plate.
Substituting the given values in equation (2),
C1 = 8.854 x 10^-12 x 80.4 x (0.03 x 0.06)/0.0236
C1 = 0.000132 F
Therefore, the capacitance of capacitor is 0.000132 F.

b) To calculate the new capacitance, the formula is given as,
C2 = k2ε0A/d ……………… (3)
where k2 is the dielectric constant of new material.
Substituting the given values in equation (3),
C2 = 3.75 x 8.854 x 10^-12 x (0.03 x 0.06)/0.0236
C2 = 0.000263 F
Therefore, the new capacitance is 0.000263 F.

c) The new voltage can be calculated as,
V2 = V1(C1/C2) …………… (4)
Substituting the given values in equation (4),
V2 = 110 (0.000132/0.000263)
V2 = 55 V
Therefore, the new voltage is 55 V.

d) The charge on each plate is given as,
Q = CV ………….. (5)
Substituting the given values in equation (5),
Q = 0.000132 x 110
Q = 0.0145 C
Therefore, the charge on each plate is 0.0145 C.

2. Given values are,
capacitance, C = 3.23 µF
area of plate, A = 6.35 mm^2
separation distance between two plates, d = ?
new capacitance, C2 = 5.63 mF
new dielectric constant, k2 = ?
voltage, V = 110 V
electric field between two plates, E = 8.99 x 10^4 N/C
working voltage, Vw = 63 V

a) The separation distance between two plates can be calculated as,
C1/C2 = d2/d1  …………….. (6)
where d1 and d2 are the initial and final separation distance, respectively.
Substituting the given values in equation (6),
3.23 x 10^-6/5.63 x 10^-3 = d2/d1
d2 = 5.63 x 10^-3 x (d1/3.23 x 10^-6)
Area of plate, A = 6.35 mm^2 = 6.35 x 10^-6 m^2
The capacitance can be expressed as,
C = εA/d
d = εA/C
where ε = permittivity of dielectric material.
Therefore, substituting the given values in above equation,
d1 = ε x 6.35 x 10^-6/3.23 x 10^-6
d1 = 12.50 ε
Substituting the value of d1 in equation (6),
5.63 x 10^-3 = d2/12.50 ε
d2 = 70.38 ε
The separation distance between two plates is 70.38 ε.

b) The new dielectric constant can be calculated as,
C2 = k2ε0A/d2
k2 = C2d2/ε0A
Substituting the given values in above equation,
k2 = 5.63 x 10^-3 x 70.38 ε/(8.854 x 10^-12 x 6.35 x 10^-6)
k2 = 3.95
Therefore, the new dielectric constant is 3.95.

c) The new voltage can be calculated as,
V2 = V1(C1/C2)
Substituting the given values in above equation,
V2 = 110(3.23 x 10^-6/5.63 x 10^-3)
V2 = 0.063 V
Therefore, the new voltage is 0.063 V.

d) The electric field can be expressed as,
E = V/d
d = V/E
Substituting the given values in above equation,
d = 63/8.99 x 10^4
d = 7.01 x 10^-4 m
The voltage, V = 110 V > working voltage, Vw = 63 V

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The chemical's name to the right, in molecular or ionic compound , usually ends in -ide How do we know which chemical goes first when we are naming covalent compounds ?

Answers

Answer:

The name of the highly Electropositive element goes first.

e.g

\(Cl_{2}O \: = > \: dichloride \: oxide\)

Chlorine is more Electropositive than Oxygen.

e.g

\(NO_{2} \: = > \: nitrogen \: dioxide\)

Nitrogen is more Electropositive than Oxygen

an object is placed at dist 25cm in front of concave mirror and image has magnification of -2 .find focal length

Answers

Answer:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

=

v

1

+

u

1

−20

1

=

v

1

25

1

v

1

=−

20

1

+

25

1

v=100cm

The image will be real, inverted magnified

Explanation:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

=

v

1

+

u

1

−20

1

=

v

1

25

1

v

1

=−

20

1

+

25

1

v=100cm

The image will be real, inverted magnified

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