The recoil speed of the rifle is 0.5 m/s.
Weight of the rifle, W = 30 N
Mass of the rifle, M = W/g = 30/10 = 3 kg
Mass of the bullet, m = 5 g = 5 x 10⁻³kg
Speed of the bullet, v = 300 m/s
a) The expression for the recoil speed of the rifle is given by,
v(r) = mv/M
v(r) = 5 x 10⁻³ x 300/3
v(r) = 0.5 m/s
b) Weight of the man, W' = 700 N
Mass of the man, M' = W'/g = 700/10 = 70 kg
So, the combined mass of the man and the rifle,
M₁ = M + M'
M₁ = 3 + 70
M₁ = 73 kg
Therefore, the recoil speed of man and rifle,
v(r)' = mv/M₁
v(r)' = 5 x 10⁻³ x 300/73
v(r)' = 0.0205 m/s
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An electric golf cart develops 1.25 kW of power while moving at a constant speed: (a) Express its power in horsepower: (b) If the cart travels 200 m in 35.0 %, what force is exerted by the cart?
a) The power of the electric golf cart is approximately 1.674 horsepower.
b) The force exerted by the electric golf cart is approximately 2182.5 Newtons.
Power and force in the Electric golf cart(a) To convert 1.25 kW to horsepower, we can use the conversion factor:
1 horsepower = 0.746 kW
So, 1.25 kW = (1.25/0.746) horsepower = 1.674 horsepower (approximately)
Therefore, the power of the electric golf cart is approximately 1.674 horsepower.
(b) To calculate the force exerted by the cart, we can use the following formula:
force = power / velocity
where power is in watts, velocity is in meters per second, and force is in Newtons.
First, we need to convert the power of the cart from 1.25 kW to watts:
1 kW = 1000 watts
So, 1.25 kW = 1250 watts
Now, we need to convert the distance traveled by the cart from meters to kilometers, and the time taken from seconds to hours:
200 m = 0.2 km
35.0% = 0.35 hours
Using the formula, we can calculate the force exerted by the cart as:
force = power / velocity
force = 1250 / (0.2/0.35)
force = 1250 / 0.5714
force = 2182.5 N (approximately)
Therefore, the force exerted by the electric golf cart is approximately 2182.5 Newtons.
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Why is compound interest more advantageous than simple interest
Compound interest is more advantageous than simple interest because it allows for the accumulation of interest on both the principal amount and the interest earned over time. In simple interest, interest is only earned on the principal amount, while in compound interest, the interest earned is added to the principal amount and then interest is earned on the new, higher amount. This leads to a compounding effect where the interest earned increases over time, resulting in a larger total return on investment. Additionally, compound interest is commonly used for long-term investments such as retirement funds and savings accounts, where the power of compounding can significantly increase the final amount earned.
creation
Design a device to minimize impact from a collision.
Design a device to convert one form of energy to another.
In 2-3 paragraphs explain your design, the materials that would be used to construct it, its function, and the relative efficiency of your design compared to something that already exists and performs a similar function
The device I would design to minimize impact from a collision would be a shock absorber made from a combination of rubber and metal. The device would be installed between the two colliding objects, and its function would be to absorb and dissipate the energy of the collision, thereby reducing the impact forces on the objects.
CONSTRUCTION:
Compared to existing shock-absorbing devices such as airbags and crumple zones, this design would be more efficient in reducing the impact forces on the colliding objects. Unlike airbags and crumple zones, which are designed to absorb the impact forces by deforming, the shock absorber would absorb the impact energy through compression and dissipation of the energy as heat.
Designing a device to convert one form of energy to another:The device I would design to convert one form of energy to another would be a piezoelectric generator. The function of this device would be to convert mechanical energy into electrical energy through the use of piezoelectric materials.The piezoelectric generator would consist of a piezoelectric material such as quartz or lead zirconate titanate (PZT) sandwiched between two metal plates. When mechanical stress is applied to the piezoelectric material, it generates an electrical voltage across the metal plates.Compared to existing devices such as generators and batteries, the piezoelectric generator would be more efficient in converting mechanical energy into electrical energy. This is because the piezoelectric effect is a direct conversion of mechanical energy into electrical energy, without the need for any intermediate steps such as the conversion of mechanical energy into rotational energy in a generator. Additionally, the piezoelectric generator would be smaller and more lightweight than traditional generators, making it ideal for use in portable electronic devices.
This graph is a combination of atmospheric carbon dioxide measurements taken from ice cores in Antarctica and air samples atop Mauna Loa. The graph BEST shows how the atmosphere has been affected by an increase in
Responses
Industrial activity
Industrial activity
Photosynthesis
Photosynthesis
Sea Levels
Sea Levels
Ozone Layer
An electric field of 2250 N/C is produced by a charge of 4.82 x 10^-11 C. For this field strength, what is the distance to the charge? (Kc = 8.99 x 10^9 NM^2 / C^2 )
Answer:
1.77 cm
Explanation:
The electric field strength produced by a point charge can be calculated using the equation:
E = k * Q / r^2
where E is the electric field strength, k is Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2), Q is the charge, and r is the distance between the charge and the point where the field is being measured.
Rearranging this equation to solve for r, we get:
r = sqrt(k * Q / E)
Substituting the given values, we get:
r = sqrt((8.99 x 10^9 N m^2 / C^2) * (4.82 x 10^-11 C) / (2250 N/C))
r = 0.0177 m or 1.77 cm
Therefore, the distance to the charge is 1.77 cm for this electric field strength.
What type of circuit is shown
=When three resistors are connected in parallel, they form a parallel circuit. In a parallel circuit, each resistor is connected across the same two points, with the current split between the resistors.
In this configuration, the voltage across each resistor is the same, but the current through each resistor can be different. The total resistance of the circuit is calculated using the equation:
1/R_total = 1/R1 + 1/R2 + 1/R3
where R1, R2, and R3 are the resistance values of the individual resistors.
The total current in the circuit is equal to the sum of the currents through each resistor:
I_total = I1 + I2 + I3
where I1, I2, and I3 are the currents through each resistor.
The total power dissipated in the circuit can be calculated using the equation:
P_total = V² / R_total
where V is the voltage across the resistors.
In summary, when three resistors are connected in parallel, they form a parallel circuit, with each resistor connected across the same two points, and the current split between them. The total resistance, current, and power dissipated in the circuit can be calculated using the equations provided.
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How does the frequency of a string affect its wavelength?
Answer:
As the frequency goes down, the speed goes down by the same factor, and so the wavelength doesn't change
Explanation:
3-Calculate the total electric current of this circuit:
( ) 10.2 A
( ) 3.45 A
( ) 5.5 A
( ) 7.5 A
Answer :
7.5 A is the required electric currentStep-by-step explanation:
We are given with 4 resistors which are connected in parallel.
Let
R_1 =10Ω
R_2 = 12Ω
R_3 = 15Ω
R_4 = 20 Ω
First let's calculate the total resistance.
Since the resistors are connected in parallel, Total resistance will be,
[tex]{\boxed{ \implies {\sf {\dfrac{1}{R_{(total)} }= \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} + \dfrac{1}{R_4}}}}} \\ [/tex]
Plugging in the required values,
[tex]\implies \sf \dfrac{1}{R_{(total)}} = \dfrac{1}{10} + \dfrac{1}{12} + \dfrac{1}{15} + \dfrac{1}{20} \\ \\\implies \sf \dfrac{1}{R_{(total)}} = \dfrac{6 + 5 + 4 + 3}{60} \\ \\ \implies \sf \dfrac{1}{R_{(total)}} = \frac{18}{60} \\ \\ \implies \sf R_{(total)} = \frac{60}{18} \\ \\ \implies \sf R_{(total)} = 3.33 [/tex]
Hence, The total resistance is 3.33 Ω
Now,
[tex] \implies \sf I = \dfrac{V}{R}[/tex]
Where,
I is currentR is resistanceV is voltagePlugging the required values
[tex] \implies[/tex] I = 25/3.33
[tex] \implies[/tex] I = 7.5 A
Therefore, The total current in the circuit is 7.5 A
Answer:10.2
Explanation:
Radar; atomic & molecular research, microwave ovens, cell phones are possible because of which type of wave? Pic attached below
Radar; atomic & molecular research, microwave ovens, cell phones are possible because of microwaves.
What are microwaves?Microwave is described as a form of electromagnetic radiation with wavelengths ranging from about one meter to one millimeter corresponding to frequencies between 300 MHz and 300 GHz respectively.
In conclusion, Microwave radiation has its effects as it can heat the body tissue the same way it heats food. Uneccessary exposure to high levels of microwaves can cause a painful burn.
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How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food
A. The amount of oxygen in the atmosphere increased
B. Mass extinctions occurred
C. The oceans became larger
D. Rainfall increased
Storm radios are designed with backup batteries so that it can be used even in case of a power outage. Which sequence best illustrates the energy conversion during power outage?
During a power outage, storm radios rely on backup batteries to continue operating. This process involves several stages of energy conversion.
Firstly, the energy stored in the backup batteries is converted into electrical energy when the radio is turned on.
The electrical energy is then converted into electromagnetic energy when the radio waves are transmitted from the radio antenna.
When these radio waves reach the receiver, they are converted back into electrical energy, which is then converted into sound energy that can be heard through the speaker.
Throughout this energy conversion process, there is some energy loss due to factors such as resistance in the wiring and inefficiencies in the battery and speaker. However, the backup batteries are designed to provide enough energy to power the radio for a significant period, ensuring that users can stay informed and connected during a power outage.
In summary, the energy conversion sequence during a power outage involves the conversion of stored chemical energy in the battery to electrical energy, then to electromagnetic energy, and finally to sound energy that can be heard through the speaker.
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The force
Answer: .
Explanation: .
4 A student notices that she gets a shock when she touches a metal door handle she has been charged by walking across a carpet. Would she get a shock if the handle was made of plastic?
Answer:
Not likely
Explanation:
She might feel a slight shock if she touches a plastic door handle after walking across a carpet, but not nearly as much as when she touches a metal handle. This is because plastic is an insulator, which means it does not conduct electricity very well. Metal is an excellent conductor. When the student drags her feet across a carpet, she builds up a negative electric charge on her body. Free electrons are released from the carpet due to friction between the carpet and her shoes, and the electrons collect on the surface of her body. If she touches a metal object like a door handle, the electrons flow from her body to the metal, resulting in a static discharge--a shock. However, if she touches a plastic object, the charge will not flow as easily and she is less likely to feel a shock. The electrons on her body repel the electrons in the metal door knob, leaving the surface of the metal doorknob positively charged, so the electrons jump across a short air gap to the metal door and she feels an electrical shock. This won't happen so dramatically with a plastic handle because the electrons in plastic won't be as easily repelled as in a metal handle.
1. solve this!!! pls help
The angle of arc m RNW is 60°, given that M is the center and RE and AN are diameters.
How to calculate arc angle?Since RE and AN are diameters, we know that ∠REO and ∠ANO are right angles, where O is the center of the circle. Since M is also the center of the circle:
m∠RMO = 180° - m∠RMN = 80°
m∠EMO = 180° - m∠EMW = 140°
Since ∠RMO and ∠EMO share a common vertex and their non-common sides are radii of the circle, they are congruent. Therefore:
m∠RMO = m∠EMO
80° = 140° - m∠RNW
m∠RNW = 60°
So m RNW = 60°.
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Image transcribed:
10.5.5 Your Turn! HOMEWORK
1. In Circle M, m∠RMN = 100° and m∠EMW = 40°. Calculate m RNW given that M is the center and RE and AN are diameters.
What is the definition of physical activity?
A.
a movement that stimulates your respiratory system
B.
a movement that causes perspiration
C.
a movement that results in the body’s use of energy
D.
a movement that requires little effort
Answer:
C. a movement that results in the bodys use of energy
What is the natural period of oscillation of your leg when you march? Compute your velocity? Explain your answer; make comments. (Please use formula and explain with your words clearly)
Electric Electronics Engineering course - Vibrations and Titrations
The natural period of oscillation of a leg when marching is the time it takes for one complete cycle of oscillation. It can be calculated using the formula:
T = 2π √(L/g)
What is the oscillation about?Where T is the natural period of oscillation, L is the length of the leg, and g is the acceleration due to gravity (9.81 m/s^2).
Assuming an average leg length of 1 meter, the natural period of oscillation of a leg is:
T = 2π √(1/9.81) ≈ 0.64 seconds
To compute the velocity of the leg during the march, we can use the formula:
v = 2πL/T
where v is the velocity, L is the length of the leg, and T is the natural period of oscillation.
Substituting the values, we get:
v = 2π(1)/(0.64) ≈ 9.8 m/s
Therefore, This means that during the march, the leg moves back and forth with a velocity of approximately 9.8 meters per second. It's important to note that this calculation assumes a simple harmonic motion, which may not be the case in reality due to the complex motion of various joints and muscles involved in marching.
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define boiling point
Answer: boiling point is when the object of a liquid is hot enough to start to boil and create bubbles, and even start to evaporate into gas.
Explanation:
An engine using 1 mol of an ideal gas initially at 18.7 L and 370 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 370 K from
18.7 L to 33 L ;
2) cooling at constant volume to 209 K ;
3) an isothermal compression to its original
volume of 18.7 L; and
4) heating at constant volume to its original
temperature of 370 K .
Find its efficiency. Assume that the
heat capacity is 21 J/K and the universal gas constant is 0.08206 L · atm/mol/K =
8.314 J/mol/K
A boy of mass 60 kg and a girl of mass 40 kg are together and at rest on a frozen pond and push each other apart. The girl moves in a negative direction with a speed of 3 m/s. What must be the total final momentum of the boy and girl combined?
A. 0 kgm/s
B. -120 kgm/s
C. 120 kgm/s
D. -100 kgm/s
Answer:
Explanation:
The total initial momentum of the system is zero since the boy and girl are at rest initially. According to the law of conservation of momentum, the total final momentum of the system must also be zero.
If the girl moves in a negative direction with a speed of 3 m/s, then she gains a momentum of -3 x 40 = -120 kgm/s in the negative direction. To conserve momentum, the boy must gain a momentum of +120 kgm/s in the positive direction, so that the total momentum of the system remains zero.
Therefore, the total final momentum of the boy and girl combined is 120 kgm/s in the positive direction. The answer is C. 120 kgm/s.
Answer:
The girl acquires a velocity of -3 x 40 = -120 kgm/s in the negative direction if she goes with a speed of 3 m/s in the opposite direction. The boy must acquire a momentum of +120 kgm/s in the positive direction to preserve and keep the system's overall momentum at zero.
Explanation:
The answer is option D
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The figure below shows electrons moving along an electric current towards and away from the light bulb.
Electrons traveling along an electric current. Arrow under electrons points right and left both towards and away from the light bulb.
Does this figure show a direct or alternating current? Explain your response.
Based on the information provided, it is likely that the figure shows an alternating current (AC). The arrows under the electrons pointing right and left, both towards and away from the light bulb, indicate that the direction of the electron flow is changing periodically. This is a characteristic of alternating current, where the flow of electric charge reverses direction periodically, typically in a sinusoidal manner.
In an AC circuit, the voltage also changes direction periodically, which is consistent with the changing direction of the electron flow shown in the figure.
In an alternating current, the flow of electrons periodically reverses direction, causing the current to switch between positive and negative values. This is different from direct current (DC), where electrons flow in a single, constant direction.
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How long will the light take in travelling a distance of 500 m in water refractive index of water is 1.33 and velocity of light in vacuum is 3 × 108 m/s. [2] Ans: 2.2 x 10 s
The light will take 2.2 μs in travelling a distance of 500 m in water refractive index of water is 1.33 and velocity of light in vacuum is 3 × 10⁸ m/s.
When a light is going from medium 1 to medium 2. The refractive index is defined as a ratio of velocity of light in medium 1 to velocity of light in medium 2. Refractive index is the factor which deals with the amount of bending of light. More refractive index means more it will bend in the medium 2. When it is 1 we can say that light has not been bent.
refractive idex of the medium is given by,
μ = velocity of light in vacuum/ velocity of light in medium
velocity of light in water = velocity of light in vacuum/ μ
velocity of light in water = 3 × 10⁸ m/s. / 1.33
velocity of light in water = 2.25 × 10⁸ m/s
Time = distance/velocity
Time = 500 m / 2.25 × 10⁸ m/s
time = 222 × 10⁸ s
time = 2.2 μs
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Eli is a 9-year-old and his friend has asked him to share his test answers. Eli refuses to let his friend cheat off his paper because he does not want to get in trouble with the teacher Given Eli’s age and response, which stage of moral development did he demonstrate:
Group of answer choices
Preoperational
Conventional
Preconventional
Postconventional
The stage of moral development Eli demonstrated is Preconventional.
The early stage of moral development can be seen in preconventional morality. Up until about age nine, it persists. Children's decisions at this age are mostly influenced by what adults expect of them and the repercussions of disobeying them.
Morality is externally regulated at the preconventional level. In order to avoid punishment or gain rewards, people abide by the rules that are set forth by authority figures. According to this viewpoint, what is morally correct depends on one's ability to get away with it or what will make them feel good about themselves.
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The Titanic had a mass of 52,800 tonnes and was travelling at 41.74 km/h when
the iceberg was sighted. By the time it hit the iceberg 30 seconds later, it had
slowed to 38.5 km/h
What was the force?
Answer:
Explanation:
mv^2/2/t=712,2kN
Which step of the PRICES method is represented by the letter S?
A.
Raise the injured area above the heart.
B.
Stop the activity until the injury is evaluated.
C.
Wrap the injured site to decrease swelling.
D.
Apply a brace or a splint to the area.
A 100-volt electromotive force is applied to an RC-series circuit in which the resistance is 400 ohms and the capacitance is 10−4 farad. Find the charge q(t) on the capacitor if q(0) = 0
And also the current in I(t)
The charge q(t) on the capacitor would be, [tex]q(t)= 0.25c(1-e^{-t/0.04s})[/tex]
And the current I(t) in the circuit will be,[tex]I(t)= 0.25mA(1-e^{-t/0.04s})[/tex]
To find the charge q(t) on the capacitor at any time t, we can use the equation for the charge on a capacitor in an RC circuit:
[tex]q(t)= Q_{max} (1-e^{-t/RC})[/tex]
where Qmax is the maximum charge on the capacitor, R is the resistance, C is the capacitance, and t is time.
To find Qmax, we can use the equation for the maximum charge on a capacitor in an RC circuit:
Qmax = E × C
where E is the electromotive force.
So, we have:
Qmax = 100 V × 10⁻⁴F = 0.01 C
Using the given values of R and C, we have:
R*C = 400 ohms × 10⁻⁴F = 0.04 s
Substituting these values into the equation for q(t), we get:
[tex]q(t)= Q_0.01(1-e^{-t/0.04C})[/tex]
To find the current I(t), we can use Ohm's law and the equation for the charge on a capacitor:
I(t) = (1/R) × d(q(t))/dt
where d(q(t))/dt is the derivative of q(t) with respect to time.
Taking the derivative of q(t), we get:
[tex]dq(t)/dt= 0.01C (1-e^{-t/0.04C})[/tex]
Substituting this into the equation for I(t), we get:
[tex]I(t)= (1/400ohm)(0.01/0.04s) (1-e^{-t/0.04C})[/tex]I
Simplifying, we get:
[tex]I(t)= 0.25mA(1-e^{-t/0.04C})[/tex]
Therefore, the charge q(t) on the capacitor is:
[tex]q(t)= 0.25c(1-e^{-t/0.04s})[/tex]
And the current I(t) in the circuit is:
[tex]I(t)= 0.25mA(1-e^{-t/0.04s})[/tex]
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The 2001 World Trade Center attacks fall under which category of terrorism?
foreign-sponsored terrorism on U.S. soil
domestic-sponsored terrorism on U.S. soil
cyberwarfare and domestic terrorism
terrorism abroad that affects U.S. citizens
The 2001 World Trade Center attacks fall under which category of terrorism (a).foreign-sponsored terrorism on U.S. soil is correct option.
The 2001 World Trade Center attacks are generally considered to be an example of foreign-sponsored terrorism on U.S. soil. The attacks were carried out by a terrorist organization based in Afghanistan called Al-Qaeda, which was led by Osama bin Laden. The attackers were primarily from Saudi Arabia, but they received training and support from Al-Qaeda operatives based in Afghanistan.
Therefore, the correct option is (a).
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Which of the rays drawn above would be correct as the light goes from the air into the water? (5 points)
A
B
C
Answer:
First option A
Explanation:
Since the light is passing from air (less dense) into water (more dense), it is bends downwards.
The answer above is wrong because like I mentioned light bends when it goes through a medium and option B doesn't match that, so please don't use that answer.
Hope I helped and have a great day ahead.
can someone please explain Question 1 a and e go to me :) ?
i have the answers. i just don't understand why the answers are what they are.
In the context of a scientific investigation, it is often important to provide accurate measurements. In this particular case, the mass of water used in the investigation is 0.05 kg.
How to calculate the massEnergy transferred = mass × specific heat capacity × temperature change
E = m × c × ΔT
We can rearrange this equation to solve for the mass of water:
m = E / (c × ΔT)
Substituting the given values, we get:
m = 1050 J / (4200 J/kg·°C × 0.6 °C) = 0.05 kg
Therefore, the mass of water used in the investigation is 0.05 kg.
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Researchers want to assess your intelligence. To do so, they have you
complete a short survey on which you indicate your favorite color. They ask
you to complete this survey multiple times, and you always answer the same
color. Unfortunately, one's favorite color has nothing to do with one's
intelligence. This research survey is best defined as:
This research survey is an example of a flawed or invalid measure of intelligence.
The research survey that is shown in this question can be defined as a poor measurement tool for assessing intelligence. One can easily identify that the researchers are measuring intelligence by asking about the favorite color of the personnel, which has nothing to do with the intelligence of the person. This survey lack validity which is essential to measure the intelligence of any personnel through a survey.
The survey also lacks reliability as it can't provide consistent results. If the intelligence of any personnel is somehow related to the intelligence of the person, answering the survey multiple times must give the same answer. This doesn't provide consistent result and lack reliability and realism.
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HELP!!! You have two substances, both of which have the same boiling point (or attraction between their molecules).
The first substance is made from molecules that are small (just a few atoms bonded together), and the second substance is made from mol that are larger (many atoms bonded together).
How can it be possible for two such different molecules to yield substances with the same boiling point? Describe the kinds of intermolecu attractions that must be involved and any other properties of the molecules that could cause this result.
The boiling point of a substance depends on the strength of the intermolecular forces between its molecules. In the case of the two substances you mentioned, even though they have different molecular sizes, they can still have the same boiling point if they have similar intermolecular attractions.
What is the boiling point about?For example, the smaller molecule may have a higher polarity due to the presence of polar bonds, which can result in dipole-dipole interactions between molecules. The larger molecule may have a similar dipole moment even though it has more atoms, or it may have a polar functional group that contributes to its intermolecular interactions.
In addition to dipole-dipole interactions, the molecules may also have London dispersion forces, which are present in all molecules due to the random fluctuations in electron density. These forces are proportional to the size of the molecule, so the larger molecule may have a stronger dispersion force even if it is less polar than the smaller molecule.
Therefore,, it is possible for two different molecules to have the same boiling point if they have similar intermolecular attractions, such as dipole-dipole interactions and London dispersion forces. The size of the molecule may also play a role in determining the strength of these forces, but it is not the only factor.
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