When a bus moves forward after stopping to pick up passengers, why do the passengers feel as though they are being pushed back against their seats?

A. The passengers' bodies tend to remain still relative to the ground while the bus is moving.

B. The forward force caused by the inertia of the bus pushes back on the passengers' bodies.

C. The force of gravity tries to hold the bodies of the passengers in place.

D. The body of the bus moves faster than the seats on the bus due to inertial forces.

Answers

Answer 1
The answer would be D.

Related Questions

An electric oven has a resistance of 10.0 Ω and a voltage of 220 V. How much current does it draw? 22 A 2.2 A 220 A 2,200 A

Answers

Final answer:

Using Ohm's Law, the electric oven with a resistance of 10.0 Ω and a voltage of 220 V draws a current of 22 A.

Explanation:

An electric oven with a resistance of 10.0 Ω connected to a voltage of 220 V will draw a current that can be calculated using Ohm's Law, which is I = V/R, where I is the current, V is the voltage, and R is the resistance.

Applying the values, we have I = 220 V / 10.0 Ω = 22 A. Therefore, the oven draws a current of 22 A when operating at 220 V.

What is true of electrolytic cells but is not true of galvanic cells?

Answers

they are non-spontaneous 

Answer:

They are Nonspontanious

Explanation:

(APEX)

How long would it take to drive around earth's equator? (earth's circumference ≈ 40,000 km if driving at 143km?

Answers

The distance traveled is the circumference of the earth (around the equator). This distance is
d = 40,000 km

The average traveling speed is
V = 143 km/h
Note: Speed cannot have units of 143 km, as given in the question.

Because distance = Speed * time, therefore
time = distance/speed.

The time taken to travel around the equator is
time = (40,000 km)/(143 km/h)
        = 279.7 hours

Answer: About 280 hours (nearest hour)

Final answer:

To calculate the time it would take to drive around Earth's equator at a speed of 143 km/h, you use the formula t = d/v, resulting in approximately 279.7 hours. This is an ideal, theoretical scenario.

Explanation:

The question is asking how long it would take to drive around the Earth's equator if you were driving at 143 km/h, given that the Earth's circumference is approximately 40,000 km. To solve this, we will use the formula for speed which is v = d/t, where v is the velocity or speed, d is the distance, and t is the time.

To find the time, we rearrange the formula to t = d/v. Plugging in the values, we get t = 40,000 km / 143 km/h. This calculates to approximately 279.7 hours. However, this is an ideal scenario, ignoring factors such as the need for stops, variations in speed, and the impossibility of driving continuously around the equator due to oceans and other geographic barriers.

Microwave ovens emit microwave energy with a wavelength of 12.9 cm. what is the energy of exactly one photon of this microwave radiation?

Answers

So, the equation that we will use to solve this problem is as follows:
E = hc / lambda where:
E is the required energy
h is Planck's constant = 6.626 × 10^-34 J∙s
c is the speed of light = 3 x 10^8 m / sec
lambda is the wavelength = 12.9 cm

Substituting with these values in the above equation, we can calculate the energy as follows:
E = (6.626 × 10^-34 x 3 x 10^8) / (12.9 x 10^-2) = 1.54 x 10^-24 Joules
Final answer:

The energy of a photon in a microwave is calculated by the Planck-Einstein relation, followed by substituting the given wavelength into the equation: E=(hc)/λ. Then convert the result, if necessary, from joules to electron-volts.

Explanation:

This problem requires knowledge of the relationship between wavelength, frequency, and energy in electromagnetic waves, such as those emitted by a microwave. The energy of a photon is given by the Planck-Einstein relation:

E=hf

where h is Planck's constant (6.62607015 × 10⁻³⁴ Js), f is the frequency, and E is energy. The frequency can be found from the speed of light (c) and the wavelength (λ) using c = f λ. Thus, E can also be computed as E=(hc)/λ.

For a microwave oven emitting waves of 12.9 cm wavelength, first convert the wavelength to meters: 12.9 cm = 0.129 m. Then substitute this, along with the values for h and c, into the equation to find the solution.

Remember, the resulting energy will be in joules but can be easily converted to electron-volts (eV), if necessary, as 1 eV = 1.602 x 10⁻¹⁹ J

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Which of the following is not a part of kinetic molecular theory? A. Particles are in constant, random motion. B. When particles collide, no energy is lost. C. Small particles make up all matter. D. When temperature is increased, particles move more slowly.

Answers

The answer, I believe, is, "B. When particles collide, no energy is lost."

The Kinetic Molecular Theory explains the behavior of gases based on the motion of particles and their interactions. It includes assumptions about particle motion, collisions, and kinetic energy dependence on temperature.

Kinetic Molecular Theory:

Gases consist of tiny particles in constant, random motion.

Collisions between particles are perfectly elastic with no energy loss.

There are no attractive/repulsive forces between particles.

The average kinetic energy of gas particles increases with temperature.

You are pedaling a bicycle at 9.8 m/s. the radius of the wheels of the bicycle is 51.9cm. the angular velocity of rotation of the wheels is

Answers

There is a relationship between rotational motion and rectilinear motion. These are all derived from the basic laws of motions - that is Newton's Laws of Motion. The value of 9.8 m/s is the linear velocity. To convert it to angular velocity, the equation is

v=rω, where
v is the linear velocity in m/s
r is the radius of the wheels in m
ω is the angular velocity in rad/s

If r is in 51.9 cm, that is equivalent to 0.519 m. We make sure to be consistent of the units because we are going to use velocity in m/s later on.

v=rω
ω = v/r = 9.8 m/s ÷ 0.519 m
ω = 18.88 rad/s

If the electric field is 12 v/m in the positive x-direction, what is the potential difference between the origin, (0, 0), and the point (3.0 m, 4.0 m)?

Answers

In electromagnetism, an electric field is induced between two oppositely charged parallel plates. This electric field is a consequence of the difference of the potential energy of the plates and the distance between them. The equation is E =V/d, where E is the electric field in volts/m or Joules, V is the voltage of the potential difference in volts, and d is the distance between the plates in meters.

First, we substitute the distance through the distance formula

d = √[(x2-x1)^2+(y2-y1)^2]
d = √[(3-0)^2+(4-0)^2]
d = 5 meters

Substituting the values:
E = V/d
12 = V/5
V = 60 volts
Final answer:

The potential difference between the origin and (3.0 m, 4.0 m) in an electric field of 12 v/m is 36 V, pointing in the direction opposite to the electric field.

Explanation:

The potential difference (ΔV) between two points in an electric field can be calculated using the formula: ΔV = -E x (Xf - Xi), where E is the electric field strength, and Xf and Xi are the final and initial positions, respectively. In this case, the electric field is in the positive x-direction and given as 12 v/m, and the point of interest is (3.0 m, 4.0 m). However, because the electric field is only in the x-direction, the y-coordinate does not affect the outcome.

So, Xf = 3.0 m (the x-coordinate of the point) and Xi = 0 (as we're calculating the potential difference from the origin).

Substituting the given values into the equation, we get ΔV = -12 v/m x (3.0 m - 0) = -36 V.

The negative sign indicates that the potential decreases in the direction of the electric field. So, the potential difference between the origin and the point (3.0 m, 4.0 m) is 36 V, in the direction opposite to the electric field.

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select the statement that best describes how the forces relate.A. The object on which they are acting and the distance to that object determines the amount of force.B. nuclear and magnetic forces are different because magnetic forces are associated with unmoving charges, and weak nuclear forces are associated with moving charges.C. All forces are related to the mass of the object on which they are acting.The larger the mass, the weaker the forces become. D. Magnetic and electrical forces are similar because they are both related to the interactions between charged particles.

Answers

I would say D is the right answer.

If the object is in an electromagnetic field, then it's movement can be generalized by interactions between charges.

Answer:

D. Magnetic and electrical forces are similar because they are both related to the interactions between charged particles.

Explanation:

When charge particles are placed near to each other then the two charges will attract or repel each other by electrostatic force given by

[tex]F = \frac{kq_1q_2}{r^2}[/tex]

while if charge particles are moving with respect to each other then in that case the magnetic field produces by the two moving charges will exert force on the two charges.

This magnetic force on moving charge is given as

[tex]F = qvB[/tex]

now here we can say that both electrostatic force and magnetic force are related to charge particles so these two forces are similar to each other

so correct answer will be

D. Magnetic and electrical forces are similar because they are both related to the interactions between charged particles.

Suppose a straight 1.00-mm-diameter copper (density = 8.9 x103 kg/m3) wire could just “float” horizontally in air because of the force due to the earth’s magnetic field, which is horizontal, perpendicular to the wire, and of magnitude 5.0 x 10-5 t. (a) what current would the wire carry?

Answers

Final answer:

To solve this question, we balance the magnetic force required to keep a copper wire floating against its gravitational pull. Current comes to be 0.08 A.

Explanation:

The problem can be solved using the concept of magnetic force and properties of copper. The force exerted by the Earth's magnetic field must counterbalance the weight of the copper wire to keep it floating. This balance can be represented mathematically as: F(magnetic) = F(gravity), or I * l * B = m * g.

We know the magnetic field strength (B) is given as 5.0 * 10^-5 T and the acceleration due to gravity (g) to be approximately 9.8 m/s^2. The mass (m) of the copper wire can be found using the given density and volume, with the latter obtained from the diameter of the wire. Copper wire usually carries one free electron per atom, which gives us a good approximation for the number (n) of free electrons available for electric current.

Substituting the values into our equation, we can solve for the current (I) that the wire would carry to maintain equilibrium.We can calculate the current to be approximately 0.08A.

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The current in the wire must be 1368 A, assuming that the length of the fire is 1m.

If the wire could just float in air due to the magnetic field, this suggests that the weight of the wire is being balanced out by the magnetic force of the field. The gravitational force and magnetic force will act in the opposite direction, i.e. the force will be directed upwards as the gravitational force always acts downwards. However, the magnitude of both forces will be the same.

From the given information regarding the density and diameter of the wire, one can find the mass of the wire. The density of the wire is given by the formula:

ρ (density) = [tex]\frac{Mass}{Volume}[/tex]

so Mass = m (let) = ρ × Volume, where Volume = πr²l for given radius r and length l. Since the length is missing, let us assume it to be 1 m. Given diameter (d) = 1.00 mm and ρ = 8.9 x10³ kg/m³.

so, m = 8.9 x10³ kg/m³ × πr²l = 8.9 x10³ kg/m³ × π[tex](\frac{d}{2})^2[/tex]l = (8.9 x10³ kg/m³ × 0.785 × 10⁻⁶) kg = 6.98 × 10⁻³ kg

Thus, the gravitational force of the wire [tex]F_g[/tex] = mg = 6.98 × 10⁻³ kg × 9.8 m/s² = 68.404 × 10⁻³ N

Magnetic force on the wire is given by the formula:

[tex]F_B = B I l[/tex], where B is the magnetic field, I is the current, and l is the length of the wire.

∴ [tex]F_B[/tex] = 5.0 x 10⁻⁵ T × I × 1 m

as [tex]F_g = F_B[/tex]

⇒ 5.0 x 10⁻⁵ T × I × 1 m = 68.404 × 10⁻³ N

or, I = (68.404 × 10⁻³ N) ÷ (5.0 x 10⁻⁵ T) = 1368 A

What best describes the significance of albert einstein's famous equation e=mc^2?

Answers

Energy = mass x speed of light squared

Answer:

Scientists used it to develop nuclear power

Calculate the amount of heat (in kilojoules) required to vaporize 2.97 kg of water at its boiling point. (δhvap

Answers

The amount of heat required to vaporize 2.58 kg of water at its boiling point is 5826 kJ.

To calculate the amount of heat required to vaporize 2.58 kg of water at its boiling point, we can use the formula:

Q = m * ΔH_vap

Where:

Q is the heat energy,

m is the mass of the substance (water in this case),

ΔH_vap is the heat of vaporization.

The heat of vaporization of water is approximately 2260 J/g or 2260 kJ/kg.

Now, let's calculate the amount of heat required:

Q = 2.58 kg * 2260 kJ/kg

Q = 5826 kJ

So, the amount of heat required to vaporize 2.58 kg of water at its boiling point is 5826 kJ.

The question probable may be;

Calculate the amount of heat in kilojoules required to vaporize 2.58 kg of water at its boiling point.

Fluid clutches are used on equipment that is subjected to?

Answers

Fluid clutches are used on equipment that is subjected to higher torque per unit volume. This type of clutch makes use of an incompressible fluid like oil in order to transfer the input of a movement from a pedal and cylinder to an actuating cylinder. Releasing the this clutch would stop the transfer of power but still allowing the engine to turn continuously. 

Final answer:

Fluid clutches are used on equipment that is subjected to various loads and forces. In physics, fluid mechanics is the study of how fluids behave under different conditions, including how they transmit forces and pressures. Hydraulic systems, which use fluid clutches, are a key application of fluid mechanics in engineering.

Explanation:

Fluid clutches are used on equipment that is subjected to various loads and forces. In physics, fluid mechanics is the study of how fluids behave under different conditions, including how they transmit forces and pressures. Hydraulic systems, which use fluid clutches, are a key application of fluid mechanics in engineering.

For example, in heavy machinery like backhoes, hydraulic and mechanical lever systems, powered by fluid clutches, are used to transfer forces and lift heavy loads. These systems can increase or decrease the force applied to them by controlling the pressure and area of the fluid.

When the net force that acts on a hockey puck is 12 n, the puck accelerates at a rate of 48 m/s2. determine the mass of the puck?

Answers

Given:
Applied force = 12 N
Acceleration = 48 m/s²

If the mass is m kg, then 
(12 N) = (m kg)*(48 m/s²)
Therefore
48m = 12
    m = 0.25 kg

Answer: 0.25 kg

When the temperature of a coin is raised by 79 °f, the coin's diameter increases by 1.90 × 10-5 m. if the original diameter is 1.55 × 10-2 m, find the coefficient of linear expansion?

Answers

You should use next formula:

L=L0(1+αt) ⇒ α = (L-L0-1)/t

but check numbers, because according to this what you wrote in your question, the coin has 1000 times less diameter after the temperature increase.

The coefficient of linear expansion of the coin be 1.55 × 10 ^-5 /°f.

What is thermal expansion?

The phenomena known as thermal expansion can be seen in solids, liquids, and gases. In this procedure, the application of heat causes an object or body to expand (temperature). The term "thermal expansion" refers to an object's propensity to change its dimensions as a result of heat, including length, density, area, and volume. The substance's kinetic energy increases when it is heated.

Given that:

the original diameter of the coin: l = 1.55 × 10^-2 m.

Increase in temperature: Δt =  79 °f.

Increase in diameter of the coin: Δl = 1.90 × 10^-5 m.

So,  the coefficient of linear expansion: α = Δl/(lΔt )

=  1.90 × 10^-5 m/( 1.55 × 10^-2 m × 79 °f)

= 1.55 × 10 ^-5 /°f

Hence, the coefficient of linear expansion  be 1.55 × 10 ^-5 /°f.

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Scientific method is a model or guide used to solve problems true or false

Answers

the answer is True.
you use it to  solve or to better understand a problem and then solve it

Yes, it is true that the Scientific method is a model or guide used to solve problems.

what is the scientific claim?

Scientific claims are statements made in science based on an experiment.

These Scientific claims are backed by the experimental data and their true results obtained from scientific investigation and experimentation.

Through research and experiments, the scientific method establishes evidence in an unbiased manner. Conducting an observation, formulating a hypothesis, making a prediction, carrying out an experiment, and then evaluating the findings are the fundamental steps.

It offers a systematic, objective method for carrying out experiments, which enhances the outcomes. Scientists may be certain that they will keep to the facts and reduce the effect of individual, preconceived preconceptions by employing a consistent strategy in their research.

Thus, we can say that the Scientific method is a model or guide used to solve problems.

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The parents of a young child carefully placed plastic plug protectors in all the electrical outlets in their house. Which statement best describes the role of the plastic protectors?

a. Electricity is transported through wires, which are good conductors of electricity. To prevent the flow of electricity into other objects, a material that will prevent the flow of electricity from escaping the wires needs to be used. Certain types of plastics, which are good conductors, are one of many materials that can be used.

b. Electrical outlets contain metal wires that are good conductors of electricity. In order to promote electrical safety, the parents covered the outlets with plastic, an insulator that prevents electrical current from flowing to another object.

c. Plastic is a good conductor of electricity. Placing plastic covers over the electrical outlets allows the electrical current to be redirected back to the plug and ensures the safety of those around the outlets.

d. Plastics and metals are good conductors. This is why plastics can be used to prevent the flow of electricity from materials, like metal wires, to other objects. By preventing the flow of electricity, these help keep people safe.

Answers

The answer is B since A, C and D all say that plastic is a good conductor but it isn't. It is an insulator that is there to stop the electrical current being passed on to other items so nobody gets electricuted so B must be correct.

Who makes sure that planes fly in and out of airports safely and do not run into each other in the skies?

Answers

The correct answer to this is:

“Air traffic controllers”

These people are the personnel who is responsible for the safety, orderly, and swift flow of planes flying in and out of airports using the global air traffic control system. They are generally stationed in air traffic control centers and control towers on the airport ground. They monitor the position, speed, and elevation of aircraft in their designated airspace visually and by radar, and give directions to the pilots by radio.

 

What should sportsman always consider when hunting from a boat?

Answers

Hunting from a boat is very enjoyable but a sportsman should consider these things when hunting from a boat, to make the hunting successful and safe.
Safety: hunting from the boat can be dangerous, safety is one of the important thing. So, safety measures put in first place.
Communication means: if boat goes to deep water, before getting any problem, one should have many types of means of communication.
Hunting tools: you should keep different types of hunting tools.
One should know the kind of water, keep food with you and should know all the directions about it.

Answer:

Most accidents happen in open motorboats 16 feet or less.

Why does reflected light from the sun or moon appear as a column in the body of water as shown? how would the reflected light appear if the water surface were per- fectly smooth?

Answers

Final answer:

Reflected light from celestial bodies like the sun or moon appears as a column on water due to the rough, uneven surface of the water diffusing light. With a perfectly smooth surface, the reflection would be sharp and clear, much like a mirror.

Explanation:

Reflected light from the sun or moon appears as a column in a body of water due to the rough surface of the water which diffuses light. This is a result of the law of reflection, where the angle of reflection equals the angle of incidence. However, when light strikes the uneven surface of the water, it is reflected in multiple directions, creating a spread-out effect of the reflection that appears as a column. If the water surface were perfectly smooth, it would behave like a mirror, reflecting light at specific angles so that the reflection would appear as a distinct, sharp image of the sun or moon, rather than a scattered column of light. This phenomenon is due to the interaction of light with surfaces of varying roughness, which determines whether the light is diffused or reflected at specific angles.

1. What 2 things can you check prior to starting your car to evaluate if it is safe to drive?

Answers

1) Check under the car for obvious leaks
2) Check fluids in the car periodically
Extra) Check Tire pressure/see if there is any damage to the tires
Check for leaks and tire pressure

Explain why the terms mass and weight should not be used interchangeably

Answers

Mass is an internal characteristics of a body (or a particle). Under any circumstances it remains the same. 

The value of weight, however, depends on the strength of gravitational force. 

When an electron moves 2.5 m in the direction of an electric field, the change in electrical potential energy of the electron is 8x10-17j. what is the strength of the electric field that causes the change in potential energy?

Answers

In the field of electromagnetism, when two charged plates that are situated opposite to each other by a certain distance, it forms an energy called the electric field. This energy is due to the difference in potential energy with respect to distance. Thus,

E = V/d

However, the voltage in volts is energy per coulomb. Thus,
V = (8x10-17 J/electron)*(1electron/1.60218x10^-19 C)
V = 499.32 volts

Therefore,

E = 499.32 volts /2.5 m
E = 199.73 N/C

The electric field that caused the change in potential energy is equal to 199.73 Newtons per Coulomb.

Which statement about human behavior would William James support

Answers

If these were the given choices:
Individuals can adapt their behavior to their environment. 
Behaviors are learned and reinforced by one's environment. 
Personalities are influenced by unconscious conflicts and desires. 
Individuals desire personal growth in order to reach their full potential

My answer would be:
INDIVIDUALS CAN ADAPT THEIR BEHAVIOR TO THEIR ENVIRONMENT.

William James had a theory about happiness. He believed that happiness is based on our free will. Being happy is not dependent on our social or biological background, rather it is based on our own decision to achieve happiness in our lives. 

Answer:

Individuals can adapt their behavior to their environment.

Explanation:

I just know (;

How do noise canceling headphones work

Answers

Noise-canceling in headphones works from a combination of microphones, electronic circuitry, and speakers to reduce or eliminate external sounds.

A more tranquil and immersive listening experience is achieved with noise-canceling headphones, which use a mix of speakers, electronic circuitry, and microphones to decrease or completely remove outside noises.

This noise-cancellation procedure is performed in real-time, continuously modifying the anti-noise signal as the outside noise changes. Consequently, low-frequency disturbances like background chatter, air conditioner humming, and motor noise can be significantly reduced with the help of active noise-canceling headphones.

On the ear cups or earbuds of active noise-canceling headphones are small microphones. These microphones capture ambient and background noise from the outside world.

The noise-canceling circuitry in the headphones receives the noises captured by the microphones and cancels them out. This circuitry analyses the sound signals to find undesired outside noise.

Hence, noise-canceling in headphones works from a combination of microphones, electronic circuitry, and speakers to reduce or eliminate external sounds.

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This diagram shows the magnetic field lines near the ends of two magnets. There is an error in the diagram.


Which change will correct the error in the diagram?
A-changing the N to S
B-Reversing the arrows on the left point toward the N
C-Changing the S to N
D-reversing the arrows on the right to point toward the S

Answers

i believe the answer is c

Answer:

C-Changing the S to N

Explanation:

As we know that magnetic field lines originated from North pole of magnet and then terminate into the south pole of magnet.

Now if we put similar poles of magnet in front of each other then we can say that the magnetic field lines of two poles will repel each other and due to this two similar poles have repulsion force.

Similarly if two different poles of magnet will place in front of each other then the magnetic field lines will originate from north pole and terminate at south pole.

This will show attraction force between the poles of magnet.

Now we can see the figure that magnetic field lines are originating from both poles here as well as these lines are repelling each other.

So here both poles must have North pole

So correction here must be

C)-Changing the S to N

The volcano olympus mons is an unusual example of the cone type called

Answers

A shield volcano i believe. hope this helped

What would be your estimate of the age of the universe if you measured a value for hubble's constant of h0 = 30 km/s/mly ? you can assume that the expansion rate has remained unchanged during the history of the universe. express your answer using two significant figures. yr?

Answers

First, let's define the units of the Hubble's constant. It is kilometers per second per million light year. Light year is the length of time for the light to travel. Hence, we can use the light year to find the distance travelled by using the speed of light which is equal to 300,000,000 m/s or 300,000 km/s. 1 million light year is equal to 1.314 x 10^12 seconds.

d = s/t = 300,000 km/s ÷ 1.314 x 10^12 s = 3.942 x 10^17 km

Through dimensional analysis:

(3.942 x 10^17 km / 1 MLY) * (1/30km/s/MLY) = 1.314x 10^16 seconds = 10 billion years

How is the average kinetic energy of particles related to temperature of a substance?

Answers

as kinetic energy increases, substance temperature increases

A 900-N lawn roller is to be pulled over a 5-cm (high) curb. Radius of roller is 25 cm. What minimum pulling force is needed if angle made by handle is (a) 0 deg (b) 30 degrees?

Answers

Final answer:

When the handle angle is 0 degrees, no minimum pulling force is needed. When the handle angle is 30 degrees, the minimum pulling force needed is 36,000 N.

Explanation:

To calculate the minimum pulling force needed to pull a 900-N lawn roller over a 5-cm curb, we can use trigonometry and the concept of work. The work done to lift the roller over the curb is equal to the force applied multiplied by the distance moved in the direction of the force. Since the force is perpendicular to the direction of motion when the handle angle is 0 degrees, no work is done.

Therefore, no minimum pulling force is needed. When the handle angle is 30 degrees, the work done is equal to the force applied multiplied by the vertical distance lifted. Using trigonometry, the vertical distance lifted is given by 5 cm multiplied by the sine of 30 degrees, which is 2.5 cm (or 0.025 m). Therefore, the minimum pulling force needed is the work done divided by the distance moved, which is 900 N divided by 0.025 m, equal to 36,000 N.

Against the wind a commercial airline in south america flew 784 miles in 4 hours. with a tailwind the return trip took 3.53 hours. what was the speed of the plane in still? air

Answers

First let us assign variables,

d = distance travelled

t = time it took

v = velocity of the commercial airline

In linear physics, the equation for velocity is given as:

v = d / t

Rewriting for d:

d = v t

We know that the distance to and from south America are equal therefore:

d1 (going) = d2 (return)

Let us say that velocity of air is v3. Since going to South America, the wind is against the direction of the plane and the return trip is the opposite, therefore:

(v1 - v3) t1 = (v1 + v3) t2

(v1 – v3) 4 = (v1 + v3) 3.53

4 v1 – 4 v3 = 3.53 v1 + 3.53 v3

0.47 v1 = 7.53 v3

v1 = 16.02 v3

Since we also know that:

(v1 - v3) t1 = 784

(16.02 v3 – v3) * 4 = 784

60.085 v3 = 784

v3 = 13.05 mph

Therefore the speed of the plane in still air, v1 is:

v1 = 16.02 * 13.05

v1 = 209.03 mph           (ANSWER)

 

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