A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. What is the initial momentum of the blue train?
A. 20 kgm/s
B. 200 kgm/s
C. 50 kgm/s
D. 0 kgm/s

Answers

Answer 1

Answer:

B. 200 kgm/s

Explanation:

The initial momentum of the blue train can be calculated using the formula:

p = mv

where p is the momentum, m is the mass, and v is the velocity.

The mass of the blue train is 50 kg and its velocity is 4 m/s. Therefore, the initial momentum of the blue train is:

p = 50 kg x 4 m/s = 200 kgm/s

Therefore, the initial momentum of the blue train is 200 kgm/s, which is option B.

Answer 2
B or 200 Kgm/s…. Let me know if I’m wrong

Related Questions

How does the frequency of a string affect its wavelength?

Answers

Answer:

As the frequency goes down, the speed goes down by the same factor, and so the wavelength doesn't change

Explanation:

1. solve this!!! pls help

Answers

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.

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

Answers

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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Sonography uses infrasonic waves to create images of objects found inside other objects.
True
False

Answers

The statement that Sonography uses infrasonic waves to create images of objects found inside other objects is false.

What is Sonography?

Sonography, also known as ultrasound imaging, uses high-frequency sound waves (not infrasonic waves) to create images of objects found inside other objects. These sound waves are emitted by a transducer, which is placed on the skin or inserted into a body cavity, and are reflected off internal structures such as organs, tissues, and fluids.

The reflected sound waves are then detected by the transducer and used to create a real-time image of the internal structures.Ultrasound waves are typically in the range of 2 to 18 megahertz (MHz), which is above the range of human hearing.

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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

Answers

To find the efficiency of the engine, we need to first calculate the amount of work done by the engine during the cycle and the amount of heat supplied to the engine. The efficiency is then given by the ratio of the work done to the heat supplied.

1) Isothermal expansion: During this step, the gas expands from a volume of 18.7 L to 33 L at a constant temperature of 370 K. Since the process is isothermal, the gas obeys the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature.

The pressure of the gas during this step can be found by rearranging the ideal gas law:

P = nRT/V

Substituting the given values, we get:

P = (1 mol)(8.314 J/mol/K)(370 K)/(18.7 L) = 162.7 kPa

The work done during this step is given by:

W1 = -∫PdV

where the integral is taken from the initial volume of 18.7 L to the final volume of 33 L. Since the process is isothermal, the pressure can be substituted into the integral:

W1 = -nRT ln(Vf/Vi)

Substituting the given values, we get:

W1 = -(1 mol)(8.314 J/mol/K)(370 K) ln(33 L/18.7 L) = -8201 J

2) Cooling at constant volume: During this step, the gas is cooled from a temperature of 370 K to 209 K at a constant volume of 18.7 L. Since the volume is constant, no work is done during this step. The amount of heat removed from the gas is given by:

Q2 = nCΔT

where C is the heat capacity and ΔT is the change in temperature. Substituting the given values, we get:

Q2 = (1 mol)(21 J/K)(209 K - 370 K) = -3366 J

Note that the negative sign indicates that heat is being removed from the gas.

3) Isothermal compression: During this step, the gas is compressed back to its original volume of 18.7 L at a constant temperature of 209 K. Using the same approach as in step 1, we can find the pressure of the gas:

P = (1 mol)(8.314 J/mol/K)(209 K)/(18.7 L) = 93.0 kPa

The work done during this step is given by:

W3 = -nRT ln(Vi/Vf) = (1 mol)(8.314 J/mol/K)(209 K) ln(18.7 L/33 L) = 4082 J

Note that the negative sign indicates that work is being done on the gas.

4) Heating at constant volume: During this step, the gas is heated back to its original temperature of 370 K at a constant volume of 18.7 L. Again, no work is done during this step. The amount of heat added to the gas is given by:

Q4 = nCΔT = (1 mol)(21 J/K)(370 K - 209 K) = 3381 J

The net work done by the engine during the cycle is given by:

Wnet = W1 + W3 = -8201 J + 4082 J = -4120 J

The net heat supplied to the engine during the cycle is given by:

Qnet = Q2 + Q4 = -3366 J + 3381 J = 15 J

The efficiency of the engine is given by:

η = Wnet/Qnet = -4120 J/15 J = -275.3

Note that the negative sign indicates that the engine is not operating as a heat engine, but rather as a heat pump or refrigerator. This is because the amount of work done by the engine is greater than the amount of heat supplied to the engine, which violates the second law of thermodynamics.

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?

Answers

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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What type of circuit is shown

Answers

=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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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

Answers

Designing a device to minimize impact from a collision:

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:

The shock absorber would consist of a metal cylinder with a rubber insert that would compress upon impact. The metal cylinder would be made from a strong and durable material such as steel, while the rubber insert would be made from a high-density rubber material with excellent shock-absorbing properties.

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.

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 ​

Answers

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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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

Answers

The amount of oxygen in the air was increased

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.

Answers

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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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

Answers

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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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

Answers

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

Brainliest please :)

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:

Answers

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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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

Answers

Answer:

C. a movement that results in the bodys use of energy

3-Calculate the total electric current of this circuit:
( ) 10.2 A
( ) 3.45 A
( ) 5.5 A
( ) 7.5 A

Answers

Answer :

7.5 A is the required electric current

Step-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 voltage

Plugging 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:

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 )

Answers

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.

define boiling point

Answers

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:

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.​

Answers

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 mass

Energy 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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The force

Answers

Answer: .

Explanation: .

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

Answers

The graph is a combination of atmospheric carbon dioxide measurements taken from ice cores in Antarctica and air samples atop Mauna Loa, and it clearly shows how the atmosphere has been affected by an increase in industrial activity. Therefore, the correct answer is:

Industrial activity

Which of the rays drawn above would be correct as the light goes from the air into the water? (5 points)


A

B

C

Answers

The answer to this question is b

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.

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

Answers

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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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.

Answers

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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Radar; atomic & molecular research, microwave ovens, cell phones are possible because of which type of wave? Pic attached below

Answers

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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PLEASE HELP!!! 25 points

Answers

The statement that is true regarding the circuit shown in the question is I₁ > I₃ > I₂ (last option)

How do i know which statement is true?

To know the true statement, we shall determine the current flowing through each resistance. Details below:

For resistor 1

Resistance (R₁) = 2 Ω Voltage (V) = 12 V Current (I₁) =?

Voltage (V) = Current (I) × resistance (R)

12 = I₁ × 2

Divide both sides by 2

I₁ = 12 / 2

I₁ = 6 A

For resistor 2

Resistance (R₂) = 8 Ω Voltage (V) = 12 V Current (I₂) =?

Voltage (V) = Current (I) × resistance (R)

12 = I₂ × 8

Divide both sides by 8

I₂ = 12 / 8

I₂ = 1.5 A

For resistor 3

Resistance (R₃) = 5 Ω Voltage (V) = 12 V Current (I₃) =?

Voltage (V) = Current (I) × resistance (R)

12 = I₃ × 5

Divide both sides by 5

I₃ = 12 / 5

I₃ = 2.4 A

From the above calculation, we can see that I₁ > I₃ > I₂.

Thus, we can conclude that the true statement is I₁ > I₃ > I₂ (last option)

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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?

Answers

Answer:

Explanation:

mv^2/2/t=712,2kN

Why is compound interest more advantageous than simple interest

Answers

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.

(i) The car starts from rest. From time = 0 to time = 15 s, the car has a constant acceleration to a speed of 28 m/s. From time = 15 s to time = 32 s, the car has a constant speed of 28 m/s. From time = 32 s, the car has a constant deceleration of 2.0 m/s² until it comes to rest. On Fig. 1.1, draw the graph, using the space below for any calculations.​

Answers

The total distance covered during all three phases is approximately 882.375 m.

How to solve

The car undergoes three phases: initial acceleration, constant speed, and deceleration.

In the first phase, it accelerates at 1.8667 m/s² for 15 seconds, covering 210.375 m.

In the second phase, it travels at a constant 28 m/s for 17 seconds, covering 476 m.

In the final phase, it decelerates at 2 m/s² for 14 seconds, covering 196 m.

The total distance covered during all three phases is approximately 882.375 m.

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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?

Answers

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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