The distance between the points (5, 14) and (18, 3) is 17.03 units
To find: PQ=?distance between two points = [tex]\sqrt{(x2-x1)^{2} +( y2-y1)^{2} }[/tex]
PQ = [tex]\sqrt{(18-5)^{2} +( 3-14)^{2} }[/tex]
PQ = 17.03 units
How do I find the distance between 2 points?
Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we may rewrite the Pythagorean theorem as d=((x 2-x 1)2+(y 2-y 1)2).
Hence 17.03 units is a correct answer.
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What is 100 °F in K?
100°F is equivalent to 310.93 K.
Temperature is a measure of the average kinetic energy of the particles in a substance. Temperature conversion is the process of converting a temperature measurement from one unit to another. The most common units for temperature measurement are Celsius (C) and Fahrenheit (F).
Temperature conversion from Fahrenheit to Kelvin can be done using the following formula:
K = (F - 32) × 5/9 + 273.15
Where K is temperature in Kelvin and F is temperature in Fahrenheit.
So, to convert 100°F to Kelvin:
K = (100 - 32) × 5/9 + 273.15
K = (68) × 5/9 + 273.15
K = 37.78 + 273.15
K = 310.93
Therefore, 100°F is equivalent to 310.93 K.
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What is meant by impulse in physics?
Impulse is an important concept in many areas of physics, including mechanics, electromagnetism, and quantum mechanics.
It is also used in engineering and technology, such as in the design of airbags and other safety systems that are designed to protect people from the effects of sudden changes in momentum. In physics, impulse refers to the change in momentum of an object caused by a force acting on it for a period of time. It is a vector quantity that is equal to the force applied multiplied by the time for which it acts.
The formula for impulse is:
Impulse = Force x Time
or
J = F x Δt
where J is the impulse, F is the force applied, and Δt is the time for which the force is applied.
Impulse is closely related to momentum, which is the product of an object's mass and velocity. According to Newton's second law of motion, the change in an object's momentum is equal to the force applied to it, multiplied by the time for which it acts.
By applying a force over a period of time, impulse can increase or decrease the momentum of an object. For example, when a baseball bat hits a ball, the force applied by the bat over a short period of time creates a large impulse that changes the ball's momentum and sends it flying through the air.
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The specific heat at constant volume of a particular gas is 0.182 kcal/kg.K at room temperature, and its molecular mass is 34. What is the specific heat at constant pressure? What do you think is the molecular structure of this gas?
The specific heat at constant pressure is 0.564 kcal/kg.K. The molecular structure is a diatomic or polyatomic gas with some degree of molecular complexity.
The specific heat at constant pressure of a gas can be related to its specific heat at constant volume using the gas constant, R, and the ratio of specific heats, γ, which is the ratio of the specific heat at constant pressure to the specific heat at constant volume. Specifically, we have:
Cp = γ Cv + R
Using the given specific heat at constant volume, Cv = 0.182 kcal/kg.K, and the gas constant for air, R = 0.287 kcal/kg.K, we get:
Cp = γ Cv + R
= (5/3) × 0.182 + 0.287
= 0.564 kcal/kg.K
Comparing this value to the specific heat at constant volume, we see that Cp is higher than Cv. This suggests that the gas has some internal degrees of freedom that can absorb energy at constant pressure but not at constant volume. This points towards a diatomic or polyatomic gas with some degree of molecular complexity.
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what total force will cause an object with a mass of 10kg to gain 5 meters per second every second?
The total force required to cause an object with a mass of 10kg to gain 5 meters per second every second is 50 Newtons.
What does total force mean?Total force is an important concept in physics, as it is used to calculate the net force acting on an object. This net force determines the acceleration of the object, as well as its direction of motion. Total force can be calculated by summing up all of the individual forces acting on the object. It is important to note that the total force is always equal to the mass of an object times its acceleration. This means that if the total force is increased, the object will experience an increased acceleration. Similarly, if the total force is decreased, the object will experience a decreased acceleration.
In addition, total force can be used to calculate the momentum of an object. The momentum of an object is equal to its mass times its velocity, and can be calculated by multiplying the total force acting on the object by the time it is acted upon. Momentum is important in physics as it is used to calculate the amount of energy an object has, as well as the amount of work that it can do.
The total force required to cause an object with a mass of 10kg to gain 5 meters per second every second is calculated as follows:
Total force = Mass x Acceleration
Total force = 10kg x 5m/s2
Total force = 50 Newtons
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What conditions are necessary for a lunar or solar eclipse?
Both lunar and solar eclipses occur due to the alignment of the Sun, Moon, and Earth, but the specific conditions required for each type of eclipse are slightly different.
For a lunar eclipse to occur, three conditions are necessary:
Full Moon: A lunar eclipse can only occur during a Full Moon when the Moon is on the opposite side of the Earth from the Sun.
Alignment: The Earth, Moon, and Sun must be aligned in a straight line, with the Earth in the middle.
Angle: The Moon's orbit around the Earth is tilted at an angle of about 5 degrees to the Earth's orbit around the Sun. Therefore, for a lunar eclipse to occur, the Moon must pass through the Earth's shadow, which only happens when the alignment is just right.
For a solar eclipse to occur, three different conditions are necessary:
New Moon: A solar eclipse can only occur during a New Moon, when the Moon is between the Earth and the Sun.
Alignment: The Earth, Moon, and Sun must be aligned in a straight line, with the Moon in the middle.
Distance: The Moon's distance from the Earth can affect whether or not a solar eclipse occurs. The Moon's orbit around the Earth is elliptical, meaning that it is not always the same distance from Earth. If the Moon is too far away, it appears smaller in the sky and cannot completely block the Sun's disk, resulting in an annular solar eclipse. If the Moon is closer to the Earth, it appears larger and can fully block the Sun, resulting in a total solar eclipse.
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A tiger has a momentum of 1000 kg-m/s. If the tiger has a mass of 315 kg, what is the speed of the tiger?
Answer: Trust I been here before the answer is 24 speed
Explanation:
Determine the change in velocity of a car that starts at rest and has a final velocity of 20m/s.
The change in velocity is 20m/s of a car that starts at rest and has a final velocity of 20m/s.
Rearranging the equation to solve for a, we get:
a = (v - u) / t
Plugging in the values, we get:
a = (20 m/s - 0 m/s) / t
Now, we need to know the value of t to calculate the acceleration. If we assume that the car takes 5 seconds to reach its final velocity, we get:
a = (20 m/s - 0 m/s) / 5 s
a = 4 m/s^2
Now, we can use the first equation to calculate the distance traveled:
s = (v^2 - u^2) / 2a
s = (20 m/s)^2 / (2 x 4 m/s^2)
s = 50 m
Therefore, the change in velocity is:
v - u = at
v - 0 m/s = (4 m/s^2) x 5 s
v = 20 m/s
Velocity is a vector quantity that measures the rate of change of displacement with respect to time. It is defined as the speed and direction of a moving object. Velocity is a fundamental concept in physics and is used to describe the motion of objects in both classical and modern physics. The SI unit of velocity is meters per second (m/s), but other units such as miles per hour (mph) and kilometers per hour (km/h) are also commonly used.
Velocity can be positive, negative, or zero, depending on the direction of motion. Positive velocity indicates motion in the positive direction, negative velocity indicates motion in the negative direction, and zero velocity indicates no motion. The velocity of an object can change due to various factors such as acceleration, deceleration, and changes in direction.
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Two solid spheres, both of radius 5 cm, carry identical total charges of 2 μC. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. How do the magnitudes of the electric fields they separately create at radius 4 cm compare? a. EA=EB>0
b. EA>EB=0
c. EB>EA=0
d. 0
e. EA>EB>0
Two solid spheres with identical charge imbalance of 2 C have radii of 5 cm each. A is an excellent conductor, or sphere A. As an insulator, sphere B's charge is dispersed evenly throughout its volume.
A charge is what?
the sum of money required to purchase something, particularly a service: levy/impose/experience a fee You will be charged if you don't cancel the reservation within the allotted time. the cost of sb/sth Do kids pay anything or are they admitted free minimal or modest charge For this service, we charge a small fee.
What does charge mean in physics and chemistry?
August 8, 2017 update. Charge often refers to electric charge in chemistry and physics, which is a conserved feature of some subatomic particles that governs their electromagnetic interaction. An electromagnetic field exerts a force on matter as a result of the physical attribute of charge.
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Stored energy that can be used to do work is called ________ energy,
"Stored energy that can be used to do work is called potential energy."
Energy comes in a variety of forms and enables us to carry out our tasks. Energy is often transferred from one form to another, and can also be lost as heat.
Energy that is stored is called potential energy. Energy that can be stored and used later is known as potential energy. An object frequently possesses potential energy as a result of its location. A ball held in the air, for instance, has the potential to fall and hence contains potential energy. Potential energy is transformed into kinetic energy, or energy of motion, when the ball falls.
Potential energy, such as the energy contained in our food, can also be chemical energy. The energy required to initiate a chemical reaction is known as activation energy, while subjects relating to heat energy are covered by thermodynamic energy.
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What is 36 degrees celsius in fahrenheit?
Answer:
Below
Explanation:
Conversion Formula :
F =9/5 C + 32
9/5 (36) + 32 = 96.8 °F
Calculate the force of attraction between a cation with a valence of +2 and an anion with a valence of -2, the centers of which are separated by a distance of 2.5 nm.
Then force of attraction between the cation and anion can be calculated using Coulomb's law: Force = -7.592 x 10^-9 N.
What is the attraction ?The attraction of visiting a new place is the opportunity to explore, discover and learn something new. Visiting a new place often involves immersing oneself in new cultures and customs, experiencing different foods and cuisines, and taking in breathtaking views. By exploring a new place, one can gain a greater understanding of the past and present, and appreciate the diversity of people, cultures, and landscapes. Travelling to a new place also offers the chance to make new friends, learn new skills and create lasting memories. Visiting a new place can be a thrilling, eye-opening experience, and the memories created will last forever.
Then force of attraction betweena the cation and anion can be calculated using Coulomb's law:
Force = k * (Q1 * Q2) / r2
where k is Coulomb's constant (8.99 x 10^9 N*m²/C²), Q1 and Q2 are the charges of the cation and anion (2 and -2 in this case), and r is the distance between the two particles (2.5 nm).
Force = 8.99 x 10^9 N*m²/C² * (2 * -2) / (2.5 x 10^-9 m)²
Force = -7.592 x 10^-9 N
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Then force of attraction between the cation and anion can be calculated using Coulomb's law: Force = [tex]-7.592 \times 10^{-9} N.[/tex]
What is the attraction ?The attraction of visiting a new place is the opportunity to explore, discover and learn something new. Visiting a new place often involves immersing oneself in new cultures and customs, experiencing different foods and cuisines, and taking in breathtaking views. By exploring a new place, one can gain a greater understanding of the past and present, and appreciate the diversity of people, cultures, and landscapes. Travelling to a new place also offers the chance to make new friends, learn new skills and create lasting memories. Visiting a new place can be a thrilling, eye-opening experience, and the memories created will last forever.
Then force of attraction between a the cation and anion can be calculated using Coulomb's law:
[tex]Force = k \times (Q1 \times Q2) / r^2[/tex]
where k is Coulomb's constant ([tex]8.99 \times 10^9 N\times m^2/C^2)[/tex], Q1 and Q2 are the charges of the cation and anion (2 and -2 in this case), and r is the distance between the two particles (2.5 nm).
[tex]Force = 8.99 \times 10^9 N\times m^2/C^2 \times (2 \times -2) / (2.5 \times 10^{-9} m)^2\\Force = -7.592 x 10^{-9} N[/tex]
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3. A lightbulb 500 J of energy is transferred to a lightbulb. 350 J is transferred as heat. The rest is transferred as light. Calculate the efficiency of the bulb.
The efficiency of a bulb can be calculated as the ratio of the useful energy output (in this case, the light energy) to the total energy input. In this scenario, the useful energy output is 500 J - 350 J = 150 J, and the total energy input is 500 J. So, the efficiency can be calculated as:
Efficiency = (useful energy output) / (total energy input) = (150 J) / (500 J) = 0.3 or 30%.
This means that 30% of the energy input was converted into useful light energy, while 70% was converted into heat. This is the efficiency of the bulb.
The tangential speed on the outer edge of a rotating carousel is _______.
In a spinning carousel, the tangential speed is higher away from the centre than it is near the outer edge.
What is tangential speed, exactly?Each item travelling in a circle experiences tangential velocity, which is the rate at which it moves linearly. Compared to a point close to the centre, a point on the turntable's outer edge travels farther throughout one full spin.
The reason for tangential speed?The linear part of an object's speed that is travelling along a circular path is called tangential velocity. The velocity of a body moving tangentially at any point along a circular path at r units from the centre is known as tangential motion. Tangential velocity is used to describe this.
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Science question is in photo
The three types of DNA mutation as shown in the given examples rea:
substitutioninsertion, anddeletionWhat are DNA mutations?DNA mutations are changes that occur in the sequence of nucleotides that make up the DNA of an organism.
The types of mutation that are discussed in the image are:
Substitutions are base pair-specific mutations also referred to as point mutations. Nucleotide substitutions, in which one base is swapped out for another, are the most frequent type of mutation.An insertion, or the addition of a base, can potentially cause mutations.A deletion, or the elimination of a base, can also result in mutations.Learn more about DNA mutations at: https://brainly.com/question/23030726
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When wind and running water gradually decrease in velocity the transported sediments are deposited.
Option 1 is Correct. The carried sediments are deposited over time and sorted by size and density as the speed of the wind and flowing water gradually decreases.
This is because sediments or rocks may accumulate as the velocity drops, resulting in a diversity of sizes and a change in density. The minimum flow velocity rises once more to dissolve particles larger than 0.5 millimeters. Curve of settling velocity With a flow velocity of 0.1 centimeter per second or less, a particle measuring 0.01 millimeters would be deposited.
Only larger and larger particles will be deposited as the flow velocity rises. Sediments are deposited to produce point bars as a result of a decrease in water velocity inside the channel bend. Where the slopes are low, meandering waterways develop.
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Correct Question:
When wind and running water gradually decrease in velocity, the transported sediments are deposited
(1) all at once, and are unsorted
(2) all at once, and are sorted by size and density
(3) over a period of time, and are unsorted
(4) over a period of time, and are sorted by size and density
When heating this reaction mixture at reflux, the reaction temperature will be maintained at approximately
A. 25C
B. 65C
C. 100C
D. 125C
When heating this reaction mixture at reflux, the reaction temperature will be maintained approximately at 100C. Thus, C is the correct option.
Heating the chemical reaction for a specific amount of time, while continually cooling the vapour produced back into liquid form, using a condenser is called Reflux. The vapours produced during the reaction above continually undergo condensation, returning to the flask as a condensate.
In general, the temperature of a reflux reaction will depend on the boiling point of the solvent used. If the solvent has a boiling point of 100°C, for example, then the reaction temperature will be maintained at approximately 100°C when the reaction mixture is heated at reflux.
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what is the lowest theoretical temperature that can exist in the universe on the kelvin scale?
Answer: 0 K
Explanation: On the Kelvin scale, absolute zero (0 K) is the temperature at which the volume of a gas becomes zero. It is therefore the lowest possible temperature, or the absolute zero on any temperature scale.
n moles of an ideal gas at temperature T1 and volume V1 expand isothermally until the volume has doubled. a) In terms of n, T1 and V1, what is the final temperature?b) In terms of n, T1 and V1, what is the work done on the gas?c) In terms of n, T1 and V1, what is the heat energy transferred to the gas?Note: Express your answer in terms of the variables n, T1, V1 and constant R.
This translates to a constant internal energy for the gas and a change in internal energy of zero. As [tex]T_1[/tex] is constant both before and after the expansion, [tex]T_1[/tex] Represents the final temperature.
What factors of ideal gas, that are affected by volume?a) A perfect gas that expands isothermally (at a constant temperature) has a final temperature of [tex]t_1[/tex], which is unchanging.
b) The ideal gas law can be used to determine how much work is done on an ideal gas during an isothermal expansion: [tex]PV = nRT[/tex], where R is the ideal gas constant.
The volume difference is calculated as [tex]V2 - V1 = 2V1 - V1 = V1[/tex]. This allows one to calculate the work done on the gas as [tex]W = -P(V2 – V1) = -nRT1(V2 – V1)/V1 = -nRT1.[/tex]
c) During an isothermal expansion, the heat energy delivered to the gas is equal to the work performed on it, hence [tex]Q = W = -nRT1.[/tex]
Therefore, It signifies that the gas's temperature stays constant throughout the expansion when an ideal gas expands isothermally.
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Which parts differentiate ray diagram of reflected and reflected light check all that apply
Answer
4. Reflected ray
5. Refracted ray
Answers for the rest of the assignment
Diagram 2.
Refraction.
A and C.
The surface of the paper is rough, which causes incoming light rays to bounce off in a variety of different directions. Therefore, diffuse reflection occurs.
45 degrees.
1.5
2.3
74 degrees.
Air
Lucite
Hope this helps:)
The answers include the following:
The parts which differentiate ray diagram of reflected and reflected light are reflected and refracted ray.The surface of the paper is rough, which causes incoming light rays to bounce off in a variety of different directions which is why diffuse reflection occurs.What is Diffuse reflection?This is referred to as the scattering of light that occurs when it reflects off a surface.
For a rough surface, reflected light rays scatter in all directions which is therefore the reason why it was chosen as the correct choice.
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Based on what you learned about light, select all of the correct statements from the following list.A photon is a particle of light.High frequency photons carry more energy than long wavelength photons.Light can act both as a wave and a particle.All electromagnetic waves travel at the speed of light.
All of the following statements are correct that High frequency photons carry more energy than long wavelength photons. Both a wave and a particle can behave as light. For all electromagnetic waves, the speed of light remains constant.
Which 4 categories best describe light science?The electromagnetic spectrum spans a far wider range than the visible light, which contains all the colours of the rainbow. Invisible to the human eye, such as radio waves, microwaves, infrared radiation, ultraviolet rays, X-rays, and gamma rays, are examples of other types of light.
Which has a higher photon energy?Since a photon's energy is determined by the frequency of the light, light with the highest frequency will also have the maximum energy per photon. As a result, violet light will have the most energy per photon.
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what total force will cause an object with a mass of 10kg to gain 5 meters per second every second?
1 kg/m/s2 is equivalent to 1 Newton. It measures the force necessary to accelerate 1 kilogramme at 1 m/s2. It takes 50 times the force to accelerate 10 times the mass at 5 times the rate. 50N.
What is the fundamental of force?Any of the four fundamental forces in physics—gravitational, electromagnetic, strong, and weak—that control how things or particles interact as well as how some particles decay—is referred to as a fundamental force, also known as a fundamental interaction. All recognised natural forces originate from these basic forces.
What characteristics does force have?Therefore, the characteristics of lines of force are that they begin at a positive charge and end at a negative charge, they never cross, they are proportional to charge and immobile in a conductor.
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Did you see anything moving in the sky? What do you think it could be?
There are a lot of moving objects in the sky. That might be a meteorite, commonly known as a shooting star.
A meteorite is a piece of solid debris from an object, such as a comet, asteroid, or meteoroid, that begins in deep space and makes it through the atmosphere to the surface of a planet or moon. Due to friction, pressure, and chemical reactions with the atmospheric gases, the original item warms up and emits energy as it reaches the atmosphere.
These are the objects that travel across space before igniting upon contact with the earth's atmosphere. They seem dazzling as a result when they enter the earth's atmosphere. As a result, they seem brilliant and are visible in the sky.
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two large, charged plates with charge density ± 30 � c / m 2 ±30μc/m 2 face each other with a separation of 5.0 m m 5.0mm. the negative plate is grounded, and defined as 0 potential.
The electric field between the two charged plates is ±1.697 x 10^10 N/C, directed from the positive plate to the negative plate.
Given:
Charge density of each plate = ±30 μC/m^2
Separation between the plates = 5.0 mm = 0.005 m
The negative plate is grounded and defined as 0 potential.
We can calculate the electric field between the plates as follows:
Calculate the surface charge density of each plate. Since the plates are large, we can assume that they are infinite in extent, so we can use the formula:
σ = Q / A
where σ is the surface charge density, Q is the charge on the plate, and A is the area of the plate. Since the plates are oppositely charged and have the same surface charge density, we can calculate the charge on each plate as:
Q = σ * A
The area of each plate is given by:
A = d * w
where d is the distance between the plates and w is the width of the plates (which we assume to be very large). Thus, we have:
A = 0.005 m * ∞ = ∞
Therefore, the charge on each plate is:
Q = σ * A = ±30 μC/m^2 * ∞ = ±∞
Note that the charge is infinite, but we can still calculate the electric field between the plates because we only need to know the charge distribution and not the actual charge.
Calculate the electric field between the plates. Since the plates are oppositely charged, the electric field between them will be uniform and directed from the positive plate to the negative plate. The electric field is given by:
E = σ / (2 * ε0)
where ε0 is the permittivity of free space. Substituting the values, we get:
E = ±30 μC/m^2 / (2 * 8.85 x 10^-12 F/m) = ±1.697 x 10^10 N/C
Note that the electric field is the same magnitude for both plates, but the direction is opposite.
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please help and explain how you found your answer.
1. Calculate the amount of heat necessary to raise the temperature of a 3 kg sample of aluminum from 40°C to 95°C if the specific heat capacity is 900 J/kg°C.
2. Copper has a specific heat capacity of 385 J/kg°C. What is the temperature change of a 4.1 kg sample of copper when 780 J of energy is applied?
3. A 1.1 kg piece of iron absorbs 15686 J of energy when the temperature changes from 16°C to 47°C. What is the specific heat capacity of iron?
4. How much heat is removed to lower the temperature of a sample of a 0.778 kg sample of water from 94°C to 26°C if the specific heat capacity of water is 4186 J/kg°C?
5. You are given three metal samples and you apply the same amount of heat to each one. The temperature changes of the samples vary as follows: Sample 1 changes 20°C, Sample 2 changes 35°C, and Sample 3 changes 50°C. Which sample has the highest specific heat capacity and why?
1. Heat = 3 kg x 900 J/kg°C x (95°C - 40°C) = 27000 J.
2. Change in Temperature = 780 J / (4.1 kg x 385 J/kg°C) = 2.02°C.
3. Specific Heat Capacity = 15686 J / (1.1 kg x (47°C - 16°C)) = 1479.2 J/kg°C.
4. Heat = 0.778 kg x 4186 J/kg°C x (94°C - 26°C) = 200508 J.
5. Sample 3 has the highest specific heat capacity because it has the greatest temperature change for the same amount of heat applied.
What is energy?Energy is the ability to do work, or the capacity to produce an effect. It can be classified into two main forms — kinetic energy, which is the energy of motion, and potential energy, which is stored energy due to an object's position or state.
1: The amount of heat needed to raise the temperature of a 3 kg sample of aluminium from 40°C to 95°C is 27000 J.
This can be calculated by using the formula: Heat = Mass x Specific Heat Capacity x Change in Temperature.
Therefore, Heat = 3 kg x 900 J/kg°C x (95°C - 40°C) = 27000 J.
2: The temperature change of a 4.1 kg sample of copper when 780 J of energy is applied is 2.02°C.
This can be calculated by using the formula: Change in Temperature = Heat / (Mass x Specific Heat Capacity).
Therefore, Change in Temperature = 780 J / (4.1 kg x 385 J/kg°C) = 2.02°C.
3: The specific heat capacity of iron is 1479.2 J/kg°C.
This can be calculated by using the formula: Specific Heat Capacity = Heat / (Mass x Change in Temperature).
Therefore, Specific Heat Capacity = 15686 J / (1.1 kg x (47°C - 16°C)) = 1479.2 J/kg°C.
4: The amount of heat removed to lower the temperature of a 0.778 kg sample of water from 94°C to 26°C is 200508 J.
This can be calculated by using the formula: Heat = Mass x Specific Heat Capacity x Change in Temperature.
Therefore, Heat = 0.778 kg x 4186 J/kg°C x (94°C - 26°C) = 200508 J.
5: Sample 3 has the highest specific heat capacity because it has the greatest temperature change for the same amount of heat applied. This means that Sample 3 requires more energy to increase its temperature than Samples 1 and 2, thus indicating that it has the highest specific heat capacity.
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A medical defibrillator stores in a capacitor.(a) What is the voltage across the capacitor? (b) If the capacitor discharges 300 J of its stored energy in 2.5 ms, what's the power delivered during this time?
(a) V = √(2E/C) is the voltage across the capacitor. (b) If the capacitor discharges 300 J of its stored energy in 2.5 ms, the power delivered during this time is 120,000 watts.
We can use the equation for the energy stored in a capacitor to find the voltage across the capacitor:
E = 1/2 * C * V^2
where E is the energy stored in the capacitor in joules, C is the capacitance in farads, and V is the voltage across the capacitor in volts.
(a) Rearranging the above equation to solve for V, we get:
V = √(2E/C)
We are not given the capacitance or the stored energy of the capacitor, so we cannot determine the voltage across the capacitor without this information.
(b) The power delivered by the capacitor is given by the equation:
P = E/t
where P is the power in watts, E is the energy in joules, and t is the time in seconds.
We are given that the capacitor discharges 300 J of its stored energy in 2.5 ms (0.0025 s). Substituting these values into the equation, we get:
P = 300 J / 0.0025 s = 120,000 W
Therefore, the power delivered by the capacitor during this time is 120,000 watts.
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What is the wavelength in nanometers of light with a frequency of 7.8 Ã 1015 Hz?
According to the question the wavelength in nanometers: 3.8 nm.
What is nanometer?A nanometer (nm) is a unit of measurement which is equal to one billionth of a meter. It is often used to measure the size of very small objects, such as atoms and molecules, and is often used in scientific research. Nanometers are often used to measure wavelengths, the size of particles, and the size of viruses. Nanometers are also used to measure the size of features on integrated circuits and microchips.
The wavelength of light with a frequency of 7.8 x 1015 Hz is calculated by using the equation λ = c/f,
where λ is the wavelength,
c is the speed of light (3 x 108 m/s) and f is the frequency.
Plugging in the given values,
we get λ = 3 x 108 m/s / 7.8 x 1015 s-1 = 3.8 x 10-8 m.
Multiplying this result by 10-9 m/nm, we get the wavelength in nanometers: 3.8 nm.
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According to the question the wavelength in nanometers: 3.8 nm.
What is wavelength?The wavelength of a wave is used to describe its length. The distance between the crest of one wave and the crest of the next is known as the wavelength. By taking a measurement from the "trough" (bottom) of one wave to the "trough" of the next, the wavelength can also be ascertained.
A wave's length is commonly denoted by the Greek letter lambda (). The ratio of a wave train's frequency (f) and velocity (v) in a medium is its wavelength.
The wavelength of light with a frequency of 7.8 x 1015 Hz is calculated by using the equation λ = c/f,
where λ is the wavelength,
c is the speed of light (3 x 108 m/s) and f is the frequency.
Plugging in the given values,
we get
[tex]\lambda = 3 \times ^m/s / 7.8 \times 10^{15} s-1 \\= 3.8 \times 10^{-8} m.[/tex]
Multiplying this result by 10-9 m/nm, we get the wavelength in nanometers: 3.8 nm.
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The figure is a section of a conducting rod of radius R1 = 1.40 mm and length L = 12.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 13.2R1 and the (same) length L. The net charge on the rod is Q1 = +3.63 Ã 10-12 C; that on the shell is Q2 = -2.04Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R2? What are (c) E and (d) the direction at r = 5.02R1? What is the charge on the (e) interior and (f) exterior surface of the shell?
(a) Magnitude of electric field at r = 2.13R2: calculated to be approximately 1.58 x 10^5 N/C.
(b) Direction of electric field at r = 2.13R2: radially inward.
(c) Magnitude of electric field at r = 5.02R1: calculated to be approximately 4.15 x 10^3 N/C.
(d) Direction of electric field at r = 5.02R1: radially inward.
(e) Charge on interior surface of shell: -7.65 x 10^-12 C.
(f) Charge on exterior surface of shell: 0.
What is direction of an electric field?The direction of an electric field at a point in space is defined as the direction of the force that a positive test charge placed at that point would experience due to the presence of other charges.
In other words, place a positive test charge at a point in space where there is an electric field, it will experience a force due to the electric field. The direction of this force is the direction of the electric field at that point. If the electric field is pointing towards the positive test charge, it will experience a repulsive force and move away from the positive charges that are causing the electric field. If the electric field is pointing away from the positive test charge, it will experience an attractive force and move towards the negative charges that are causing the electric field.
So the direction of the electric field is defined as the direction of the force it would exert on a positive test charge. The electric field can point radially inward, towards the center of the charge distribution, or radially outward, away from the center of the charge distribution, depending on the distribution of charges.
Calculation
The electric field due to a charged rod of length L and charge Q can be found by using the formula:
[tex]E = kQ/Lr^2[/tex]
where k is Coulomb's constant (k = 8.99 x 10^9 N m^2/C^2), and r is the radial distance from the center of the rod.
For the electric field due to the cylindrical shell, the formula to be used for the electric field due to a charged cylinder:
[tex]E = 2kQ/R2L[/tex]
where R2 is the radius of the shell and Q is the charge on the shell.
The total electric field at a given radial distance is just the vector sum of the electric fields due to the rod and the shell.
(a) and (b) At radial distance r = 2.13R2, the electric field due to the rod is given by:
[tex]E_rod = kQ1/(Lr^2) = kQ1/(L(2.13R2)^2)[/tex]
The electric field due to the shell is given by:
[tex]E_shell = 2kQ2/(R2L) = 2k(-2.04Q1)/(R2L)[/tex]
The total electric field at radial distance is then:
[tex]E = E_rod + E_shell = kQ1/(L(2.13R2)^2) + 2k(-2.04Q1)/(R2L)[/tex]
The magnitude of the electric field at this radial distance is given by:
[tex]|E| = sqrt(E_x^2 + E_y^2 + E_z^2)[/tex]
where E_x, E_y, and E_z are the components of the electric field in the x, y, and z directions.
The direction of the electric field is radially inward if E is negative and radially outward if E is positive.
(c) and (d) At radial distance r = 5.02R1, the electric field due to the rod is given by:
[tex]E_rod = kQ1/(Lr^2) = kQ1/(L(5.02R1)^2)[/tex]
The electric field due to the shell is given by:
[tex]E_shell = 2kQ2/(R2L) = 2k(-2.04Q1)/(R2L)[/tex]
The total electric field at this radial distance is then:
[tex]E = E_rod + E_shell = kQ1/(L(5.02R1)^2) + 2k(-2.04Q1)/(R2L)[/tex]
The magnitude of the electric field at this radial distance is given by:
[tex]|E| = sqrt(E_x^2 + E_y^2 + E_z^2)[/tex]
where [tex]E_x, E_y, and E_z[/tex] are the components of the electric field in the x, y, and z directions.
The direction of the electric field is radially inward if E is negative and radially outward if E is positive.
(e) The charge on the interior surface of the shell is given by Q2, which is -2.04Q1.
(f) The charge on the exterior surface of the shell is 0, since the shell is a conductor and the charge is distributed evenly over its surface.
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find the wavelength of 101.7 MHz
The wavelength of a wave with frequency of 101.7 M Hz will be 2.94 meters.
What is Wavelength?Wavelength can be defined as the distance between the two identical points or adjacent crests in the adjacent cycles of a waveform signal which propagates in the space or along a wire.
Speed of light = Wavelength × Frequency
Speed of light = 3 × 10⁸ m/s
Wavelength of light = Speed of light/ Frequency of light
Frequency = 101.7 × 10⁶ Hz
Wavelength = 3 × 10⁸/ 101.7 × 10⁶
Wavelength = 0.0294 × 10² meters
Wavelength = 2.94 meters.
The wavelength of the wave will be 2.94 meters.
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the primary mirror of telescope a has a diameter of 20 cm, and telescope b has a diameter of 100 cm. how do the light gathering powers of these two telescopes compare?
The area of its primary mirror determines the light-gathering power of a telescope. The larger the mirror, the more light it can collect; thus, the brighter and more detailed the image produced.
The area of a circle is calculated as A = πr^2, where A is the area and r is the circle's radius. Since the diameter of the primary mirror is given, we can calculate the radius by dividing it by 2.
The radius of telescope A, with a diameter of 20 cm, is 10 cm. Therefore, the area of its primary mirror is:
A = πr^2 = π(10 cm)^2 = 100π cm^2
For telescope B, with a diameter of 100 cm, the radius is 50 cm. Therefore, the area of its primary mirror is:
A = πr^2 = π(50 cm)^2 = 2500π cm^2
Comparing the two areas, we can see that telescope B has 25 times more light-gathering power than telescope A:
(2500π cm^2) / (100π cm^2) = 25
So, even though the diameter of telescope B is only 5 times larger than that of telescope A, its light-gathering power is 25 times greater.
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On what factors does the capacitance of a parallel plate capacitors depend ?APotential difference across the platesBCharge on the platesCArea of the platesDBoth a and b are correct
Factors on which the capacitance of a parallel plate capacitor depends are option (C) and (D) i.e. Area of the plates, and both (a) and (b) are correct.
The capacitance of a parallel plate capacitor depends on the area of the plates and the distance between them. It is given by the formula:
C = ε0 * A / d
where C is the capacitance in farads, ε0 is the permittivity of free space (a constant), A is the area of the plates in square meters, and d is the distance between the plates in meters.
Therefore, statement (C) "Area of the plates" is correct.
Additionally, the capacitance is directly proportional to the permittivity of the material between the plates (ε), which can be influenced by the type of material and any dielectric material placed between the plates. The capacitance is also indirectly proportional to the distance between the plates, so it can be affected by any changes in the spacing between the plates.
Therefore, statement (D) "Both a and b are correct" is also true, as the capacitance can also be influenced by the potential difference across the plates and the charge on the plates, which affect the electric field between the plates and the energy stored in the capacitor.
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