Bone has a Young's modulus of about
1.8 x 100 Pa. Under compression, it can
withstand a stress of about 1.58 x 10° Pa be-
fore breaking.
Assume that a femur (thigh bone) is 0.54 m
long, and calculate the amount of compression
this bone can withstand before breaking.
Answer in units of mm.

Answers

Answer 1

Answer: 4.74 mm

Explanation:

We can solve this problem with the following equation:

[tex]Y=\frac{stress}{strain}[/tex] (1)

Where:

[tex]Y=1.8(10)^{10} Pa[/tex] is the Young modulus for femur

[tex]stress=\frac{F}{A}=1.58(10)^{8} Pa[/tex] is the stress (force [tex]F[/tex] applied per unit of transversal area [tex]A[/tex]) on the femur

[tex]strain=\frac{\Delta l}{l_{o}}[/tex]

Being:

[tex]\Delta l[/tex] the compression the femur can withstand before breaking

[tex]l_{o}=0.54 m[/tex] is the length of the femur without compression

Writing the data in equation (1):

[tex]Y=\frac{\frac{F}{A}}{\frac{\Delta l}{l_{o}}}[/tex] (2)

[tex]1.8(10)^{10} Pa=\frac{1.58(10)^{8} Pa}{\frac{\Delta l}{0.54 m}}[/tex] (3)

Isolating [tex]\Delta l[/tex]:

[tex]\Delta l=\frac{(1.58(10)^{8} Pa)(0.54 m)}{1.8(10)^{10} Pa}[/tex] (4)

[tex]\Delta l=0.00474 m[/tex] (5) This is the compression in meters

Converting this result to millimeters:

[tex]\Delta l=0.00474 m \frac{1000 mm}{1 m}=4.74 mm[/tex]


Related Questions

24 grams of magnesium metal reacts with 16 grams of oxygen gas to form magnesium oxide. according to the law of conservation of mass, how much magnesium oxide will there be after the chemical change is complete?

Answers

The mass of magnesium oxide must be 40 grams

Explanation:

The law of conservation of mass states that the total mass of the reactant in a chemical reaction must be equal to the total mass of the products after the reaction has completed.

In this problem, we have:

Reactants:

Magnesium metal (mass: 24 grams)

Oxygen gas (mass: 16 grams)

Products:

Magnesium oxide (mass: ?)

According to the law of conservation of mass, the mass of the magnesium oxide must be equal to the sum of the mass of the magnesium metal and the oxygen gass. Therefore:

Mass (magnesium oxide) = 24 g + 16 g = 40 g

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A jet plane manages to go forward by sucking in_____
through the_______
and shooting it out again at the back. (Note: one word for each field)





QUESTION 3

In terms of the action-reaction law, what is the reason why firemen have difficulty holding on to the nozzle of a fire
hose when water is gushing out at high speeds?
The hose's material contracts (action) resulting in a recoil (reaction)
It is an electrically regulated jolt (action) as a build-in feature for safety purposes, so that firemen recoil back
(reaction) from potential flares
The force by which the water is shot out (action) results in an equal counter-force by the water (reaction)
The water hitting on a heavy object or surface (action) results in a counterforce from the object or surface
conducted through the water to the firemen (reaction)
The push-back is only a perceptional effect from the stress which the firemen experience
Save All Answers
Save and Sub
Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Answers

Answer:

sucking in air through the turbine.

Explanation:

When an airplane turbine operates, it sucks air through it, compresses the air, causes its pressure to increase in the same way as its temperature and ejects it at high speed through the nozzle-shaped output, creating a high output speed and push force capable of moving the plane horizontally.

Vehicles of the fire department are equipped with water pumps of high pressure, in such a way that, when operating, send a flow of water with high pressure and speed through the hose, this force output of the water is sometimes much greater than the force with which the fireman holds the hose, and hence the difficulty to maneuver the hose.

Now when the fireman points the hose with the water at high pressure and speed coming out of it, into a wall close enough. The Fireman will experience newton's third law in all its splendor, which says that every force of action leads to a reaction, so that the reaction could hurt the fireman operating the hose.

Which statement is true about air pressure acting in an object

Answers

Answer:

According to your question although you didn't include the options, it is obvious that when air pressure is acting on an object ,there is just as much air pressure pushing up as there is pushing down on the object,thereby creating a balanced for the object.

Two forces whose resultant is 100N,are perpendicular to each other.if one of them makes an angle of 60° with the resultant, calculate it's magnitude

Calculate the absolute pressure of an ocean depth of 1200atm. Assuming the density of liquid is 1200kg/m^2amd that (pa=1.01×10^6pa N/m^2

Answers

Magnitude of the force = 50N

Explanation:

Let one force be X

And the second force be Y

Both the forces are perpendicular, so α = 90°

The resultant R of the two forces = 100N

Angle between resultant and 1 force, α = 60°

We know,

R² = X² + Y² + 2XYcos 90

100² = X² + Y²

If X makes an angle of Φ = 60°

Then, tan Ф =  Y sin α / X + Y cos α

Putting the values we find,

tan 60 = Y/X

Y  = √3X

Putting Y = √3X in equation 1 we get,

(X)² + (√3X)² = 100 X 100

4X² = 100 X 100

X² = 2500

X = 50N

Therefore, magnitude of the force = 50N

Two crewmen pull a raft through a lock, as shown in the figure(Figure 1). One crewman pulls with a force of 130 N at an angle of 34 ∘ relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45 ∘ . With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction?

Answers

Final answer:

The second crewman should pull with an amount of force calculated through splitting the forces into components along and perpendicular to the direction of motion, and solving for the conditions that have to be met so that the net force is in the forward direction.

Explanation:

The subject at hand involves the calculation of forces in static equilibrium. A crucial concept used in this problem is the summation of forces both in the forward direction and perpendicular to it to ensure the net force is towards the forward direction. We add the forces like vectors, meaning we should take into account both their magnitudes and their directions.

Step 1: Calculate the y-component (perpendicular to forward direction) and x-component (forward direction) of the forces applied by the first crewman. The x-component equals force * cos(angle), and the y-component equals force * sin(angle). For the first crewman, x1= 130 cos(34) and y1 = 130 sin(34).

Step 2: The second crewman should pull such a way that his force's y-component neutralizes the first crewman's force's y-component and generates the same x-component to ensure the net force is in the forward direction. Hence, the forces for the second crewman should satisfy x1 = x2 and y1 = - y2. Therefore, for the second crewman, x2 = 130 cos(34) and y2= -130 sin(34).

Step 3: Use the Pythagorean theorem to calculate the force of the second crewman, which equals sqrt(x2^2 + y2^2). This will give you the magnitude of the force the second crewman should apply to ensure the net force is in the forward direction.

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Final answer:

The force exerted by the second crewman can be found by calculating the components of the forces involved, and requiring that they balance out to result in a net force in the forward direction only. This involves calculus and vector resolution in Physics.

Explanation:

The situation you're describing relates to vector resolution and addition in Physics. To find the force exerted by the second crewman, we'll need to use trigonometry. First, we can calculate the horizontal component of the force exerted by the first crewman, which is 130 N cos(34°), and the vertical component, which is 130 N sin(34°).

Since the net force should only be in the forward direction, the vertical component of the second crewman's force should exactly cancel out with the vertical component of the first crewman's force. Therefore, it should be equal to -130 N sin(34°). Given the angle of 45°, we can then express this force as F sin(45°) and solve for F.

So, if we set F sin(45°) = -130 N sin(34°), we can solve for F to find out the force that the second crewman should exert. This principle of resolving forces into components and adding them can be applied to a plethora of Physics problems, such as calculating the net force exerted on a barge by tugboats or the rate of acceleration of skiers towed by a boat.

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you are riding on a train traveling 80 km/h. if you walk toward the back of the train at a speed of 1.2 km/h relative to the train, what is your velocity relative to the ground?

Answers

Answer:

Velocity of the passenger = 78.8[km/h]

Explanation:

In order to solve this problem, we must observe the train from a distant point of the train. In this way we can observe that the train moves at 80[km/h] relative to the ground.

In such a way that the passenger moves in a direction contrary to the movement of the train.

[tex]v_{pass}=80-1.2\\ v_{pass}=78.8[km/h][/tex]

The Observer located outside the train will see how the passenger moves away at 78.8 [km / h] and not at 80[km/h] which is the speed of the train.

If basketball travels a distance of 4 meters in 5 seconds what is the average speed

Answers

Answer:

The average speed is 0.8 meters per second.

Explanation:

Electronegativity is
____ at the top of the periodic table.​

Answers

Answer:

highest is correct word

Explanation:

Final answer:

Electronegativity increases at the top of the periodic table, with the highest values found in the upper right corner, corresponding to elements like fluorine.

Explanation:

Electronegativity is a measure of how strongly an atom attracts electrons when it forms a covalent bond. This tendency of an atom to attract electrons determines a lot in its chemical behavior. Electronegativity values, which can range from about 0.7 for elements like Francium (Fr) up to 4.0 for Fluorine (F), show a clear trend in the periodic table. They generally increase from left to right across the periodic table and are higher at the top of the periodic table. The elements with the highest electronegativity are found in the upper right corner of the periodic table, such as the nonmetals oxygen and fluorine, while those with low electronegativities are found in the lower left corner, such as the alkali metals.

A 0.250 kg mass is attached to a spring with k=18.9 N/m. At the equilibrium position, it moves 2.89 m/s. What is the amplitude of the oscillation? (Unit=m)

Answers

The amplitude of oscillation is 0.33 m

Explanation:

Amplitude is the measure of change in distance occurred during oscillation. As oscillation is a to and fro motion, so amplitude consists of influence of angular frequency and maximum velocity.

It is known that velocity is maximum when the spring is in equilibrium. And angular frequency of spring is determined as the square root of spring constant divided by mass.

[tex]angular frequency=\sqrt{\frac{spring constant}{Mass} }[/tex]

Angular frequency =[tex]\sqrt{\frac{18.9}{0.250} }=8.69[/tex]

And amplitude is

[tex]A=\frac{\text {velocity}}{\text {Angular frequency}}=\frac{2.89}{8.69}=0.33 \mathrm{m}[/tex]

Thus , the amplitude of oscillation is 0.33 m.

Answer:

0.33 m

Explanation:

The work is done out above.


Which two statements about composite materials are true?
They're made up of more than one substance.
They have the same or similar properties as the materials used to make them.
They're always made of metal.
They're readily available in nature.
Reset
Next

Answers

Answer:

They have the same or similar properties as the materials used to make them.

Explanation:

SOMEONE PLEASE HELP ME ASAP PLEASE!!!!!​

Answers

The correct answer is 2.479

Answer:

The answer is 2.479

You can also use the calculator to find your answer .

What is the area of shore between high and low tides called

Answers

Its is called intertidal zone

Explanation:

The earth rotation and the moon's pull of gravity causes the tides to rise and fall.High tides occur when the water advances to the furthers point of a shoreline where as low tides happen when the water recedes to the lowest point of the shoreline.Some kinds of animal and plants survive in the ecosystem present between the area of high tides and low tides refered to as the intertidal zone.This area is sometimes covered or uncovered by ocean waters.

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definition of motion?

Answers

Answer:

the action or process of moving or being moved

Explanation:

Answer:

Motion is simply the change of position of an object with time

Explanation:

What type of heat transfer occurs in solids?

Answers

Answer: Conduction

Explanation:

The atoms in the solid move together and create heat

Answer:

conduction

Explanation:

It was right on my quiz please mark brainliest

What is the speed of a 1200 kg car moving
with a kinetic energy of 15 kJ?

Answers

Answer:5m/s

Explanation:

Kinetic energy=ke=15kj=15x1000j=15000j

Mass=1200kg

Speed=√(2ke/m)

Speed=√(2x15000/1200)

Speed=√(30000/1200)

Speed=√(25)

Speed=5m/s

Imagine that Kevin can instantly transport himself between Planet X and Planet Y. Which statement could be said about Kevin in this situation?
Kevin’s weight may change between Planet X and Planet Y.
Kevin’s volume may change between Planet X and Planet Y.
Kevin’s mass may change between Planet X and Planet Y.
Kevin’s matter may change between Planet X and Planet Y.

Answers

The answer is Kevin's weight may change between Planet X and Planet Y.

Explanation:

The mass is the amount of matter contained in our body and it does not vary with other planets (remains constant). But the weight on the planet is the strength of gravity on the planet and result of mass which will vary with different planets. Your weight is a measure of the pull of gravity between the person and the planet.Every object in the universe will attract each other object with the same mass. When the gravity is high, your weight will be high because your weight will be depending on the gravitational pull of planets.For example, if an astronaut travels from Earth to Mars, his mass remains unchanged and he floats with the same size and mass but his weight will vary due to varying gravity. Thus your mass doesn't affect other planets it's only the weight that may change due to the varying gravitational pull or no gravity.

Answer:

the answer is A

Explanation:

A boy that has a mass of 40 kilograms is walking at a speed of 2m/s. What is the boys momentum?

Answers

Answer:

The boy's momentum = 80kgm/s

Explanation:

Momentum (P) =mass x velocity

Where, velocity(speed) =2m/s

Mass of the boy=40Kg

Momentum (P)=(40kg) x (2m/s) = 80kgm/s.

Raul is riding on a train that is moving at a speed of 20.0 meters per second. Kirstin is sitting across from him, and there is a distance of 1.8 meters between them. If Raul and Kirstin do not leave their seats, which of the following graphs shows the distance from Raul to Kirstin over the first 6 seconds of the trip?

Answers

Answer:

b

Explanation:

The distance between Raul and Kristin would remain the same over the time period. Hence, the graph with the horizontal line depicts their distance. Graph C

The speed of the train does not matter in this situation since both Raul and Kristin are riding on it.

The distance seperating the two which is 1.8 meters will be constant since they both did not leave their seat.

Therefore, the distance between then will be maintained over the course of the journey else one or both of them leaves their seat.

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Explain in detail what information can be learn about atoms of different elements by examining the periodic table . For the Maximum Points Earned, You Should Include the visible information on the periodic table as well as trends of the Atoms (size, energy level, valence electrons, etc)

Answers

Answer:

We know the information about atomic size, energy, electronic configuration etc. of atom from the periodic table.    

Explanation:

Periodic table is the arrangement of elements that are arranged according to their properties and electronic configuration.In periodic table, on furthest right side of the periodic table, noble gases like He, Ne, Ar etc are arranged.The atomic number of element increases while moving from left towards right in the periodic table.The metallic character of element decreases as we proceed the table towards right.They readily accept electron to fill the valence shell hence becoming more metallic in character.  

How is instantaneous speed calculated?

Answers

Answer:

Explanation:

Instantaneous speed is the speed of an object at a given point of time. While the speed we usually calculate is the average speed of the object throughout its journey, instantaneous speed can be determined by calculating the derivative of the average velocity of the object in question.

And the formula for average velocity is

V(avg)= Metre/ second, which is distance/time

Hence its derivative would be

dV(avg)=d(Distance)/d(time) which is the instantaneous speed of the object

Final answer:

Instantaneous speed is calculated by taking the absolute value of instantaneous velocity, which is the magnitude of velocity at a specific moment in time, without considering direction.

Explanation:

The calculation of instantaneous speed requires understanding that it is the magnitude of instantaneous velocity. Instantaneous velocity is a vector quantity that has both magnitude and direction, but when we are interested in the speed at an exact moment in time, we disregard the direction. To calculate the instantaneous speed, one typically takes the absolute value of the instantaneous velocity. For instance, if an object has an instantaneous velocity of -3.0 m/s, indicating motion towards the rear of a plane, its instantaneous speed is 3.0 m/s. Unlike average speed, which is calculated by dividing the total distance traveled by the total time taken, instantaneous speed is concerned solely with the rate of motion at a particular instant.

Instantaneous speed is a scalar quantity and, unlike velocity, does not include any directional information. The instantaneous speed can be determined from the instantaneous velocity by simply looking at its magnitude, without regard for its direction.

Place the two thermometers outdoors in different locations. Place one in direct sunlight and the other in shade. Make sure that the thermometers are in a secure location so they will not fall or blow away. Do you think that there will be a difference in temperature between these two locations over a period of one week? Write down your prediction.

Answers

Answer:

YES THERE WILL BE A DIFFERENCE

Explanation:

THE THERMOMETER WHICH IS KEPT UNDER SUNLIGHT WILL BREAK DUE TO THE HEAT OF THE SUN

AND THE ONE KEPT UNDER SHADE WILL BE SAFE.

Final answer:

Yes, there will likely be a difference in temperature between a thermometer placed in direct sunlight and one placed in the shade due to the energy carried by sunlight that converts to heat when absorbed.

Explanation:

If a student places one thermometer in direct sunlight and another in the shade and records the temperatures over a period of one week, yes, there will likely be a difference in temperature readings between the two locations. Direct sunlight warms the surface it strikes more than an area in the shade does. This is due to the fact that sunlight carries energy which converts to heat when it is absorbed by objects, including thermometers. If the thermometer in the shade is shielded from this direct infusion of solar energy, it will generally record a lower temperature.

Several experiments suggested, such as shielding a thermometer with aluminum foil, wrapping it with a handkerchief soaked in nail polish remover, or simply measuring the air temperature in a sunny spot, all showcase the effects of sunlight on temperature readings. It is important to use an appropriate laboratory thermometer that can handle specific temperature ranges to avoid breakage and ensure accurate results. Additionally, when conducting the experiment, it is vital to ensure that the thermometer is upright to avoid incorrect readings.

A cat sees its his favorite human come in the door and runs toward him. the cat starts with a velocity of 4.94 m/s and slows to a velocity of 1.78 m/s in 1.25 seconds.
a) Calculate the cat's average acceleration.
b) Calculate the cats displacement.

Answers

Answer:

Average acceleration =-2.53m/s^2

Displacement s = 4.2m

Explanation:

If 1 inch = 2.54 centimeters, how many inches are there in 2,540 centimeters?

Answers

1,000 inches would be the answer

Answer:

1000 inches

Explanation:

2540/2.54 = 1000

Hope this helps :)

A student has a mass (including clothes and shoes) of 65.0 kg. She drinks a 12 oz. can of soda, with a nutritional energy content of 140 Cal. Assuming that the efficiency of her muscles is 20%, how high can she climb without losing weight?
Conversion: 1 Cal = 1,000 cal = 4,180 J

Answers

She can climb 0.92 m without losing weight.

Explanation:

Gravitational potential energy is the energy consisting of the product of mass, gravity and height.

1 cal = 4184 J

140 cal = 585760 J

Energy = 585760 J,  m = 65.0 kg = 65000 g,   Efficiency = 20 %

                                 GPE = mgh

where m represents the mass

          g represents the gravity,

           h represents the height.

                             585760 = 65000 [tex]\times[/tex] 9.8 [tex]\times[/tex] h

                                        h = 0.92 m.

Which of the following would best model the Doppler effect?
A. A toy boat moves through a small pool. The water waves around the boat appear to bunch together in front of the boat and spread further
apart behind the boat.
B. A strobe light flickers on and off in a room, causing people to appear to move more slowly.
C. A pencil is held loosely at one end and is moved up and down. This motion creates the illusion that the pencil is made of rubber.
D. A person on a moving train observes that a book is at rest, but a person observing the train from a stationary platform observes that the book
is in motion.

Answers

Answer:

A?

Explanation:

The best model which can follow the Doppler effect is a pencil which is held loosely at one end and is moved in the direction of up and down. This motion of the pencil creates the illusion that the pencil is made of rubber. Thus, the correct option is C.

What is Doppler effect?

The Doppler effect is also called as the Doppler shift. This type of effect can be described through the changes in the frequency of any kind of the sound wave or the light wave which is produced through a moving source with respect to an observer.

Waves have been found to be emitted by an object which are traveling towards an observer when they get compressed and are prompting a higher frequency of wave as the source approaches the observer.

A model of the Doppler effect is a pencil which is held loosely at its one end and is moved in the up and down directions. This motion has been found to create the illusion which the pencil is made of rubber.

Therefore, the correct option is C.

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2. A ball tied to a pole by a rope swings in a circular path with a centripetal acceleration of 2.7 m/s. If the ball has a
tangential speed of 2.0 m/s, what is the diameter of the circular path in which it travels?​

Answers

Answer: The diameter of the circular path is 2.96m

Explanation: centripetal acceleration = tangential speed^2 / radius of the circular path.

Centripetal acceleration = 2.7m/s^2

Tangential speed = 2.0m/s

Radius = 2.0^2 / 2.7 = 4/2.7

= 1.48m

Diameter = radius*2

= 1.48*2 = 2.96m.

A cart being pulled with 30N through a 2 m hallway over two seconds. How does it have the greatest power exerted on it

Answers

Answer:

Power = 30 [watts]

Explanation:

Initia data:

F = force = 30[N]

d = displacement = 2 [m]

By definition we know that work is equal to the product of force by the distance displaced

Therefore:

W = F * d = 30 * 2

W = 60 [J]

And power is defined as the amount of work done in a given time interval

time = t = 2 [sec]

Power = W / t

Power = 60 / 2

Power = 30 [W]

The table below shows two types of electromagnetic waves and three random applications of electromagnetic waves.

Type of Wave Application of Waves
Microwaves 1. Show the heat released by astronomical objects
Infrared waves 2. Study stars having high temperature
3. Measure temperature differences in space

Which of these best matches the waves with their applications?

Select one:
a. Microwaves—3 and infrared waves—1
b. Microwaves—1 and infrared waves—3
c. Microwaves—1 and infrared waves—2
d. Microwaves—2 and infrared waves—1

Answers

Answer:

a. Microwaves—3 and infrared waves—1

Explanation:

Microwaves and infrared waves are both part of the electromagnetic spectrum, but they have different frequency and wavelength.

In particular:

- Microwaves are long-wavelength electromagnetic waves, with wavelength between 1 mm and 1 m. Their wavelength is longer than visible light

- Infrared waves are also long-wavelength electromagnetic waves, but their wavelength is shorter than microwaves: between 700 nm and 1 mm. Their wavelength is also longer than visible light.

The two types of waves are also used for different purposes. In particular:

- Infrared waves are emitted by any hot object, and their intensity depends on the temperature of the object. Therefore, they are used in astronomy to show the heat released by astronomical objects (option 1)

- Microwaves are used to study the Cosmic Microwave Background (CMB). This is electromagnetic radiation that permeates the whole universe, and its wavelength depends inversely on the local temperature. Therefore, areas with longer wavelength have lower temperature, and viceversa. Therefore, microwaves are used to measure temperature differences in space (option 3).

The ability of atoms to attract electrons in chemical bonds is called
________.

A. swarming
B. ionization energy
C. electronegativity
D. electronic shielding

Answers

It is electronegativity the property of an atom which increases with its tendency to attract the electrons of an bond
Final answer:

Electronegativity is the ability of atoms to attract electrons in chemical bonds. It is an important concept in predicting bond types and molecular properties.

Explanation:

The ability of atoms to attract electrons in chemical bonds is called electronegativity. Electronegativity is a measure of an atom's tendency to attract a shared pair of electrons towards itself in a covalent bond. It is influenced by factors such as the number of protons in the nucleus and the distance between the nucleus and the outermost electrons.

For example, in a molecule of water (H2O), oxygen (O) has a higher electronegativity than hydrogen (H), resulting in a polar covalent bond where oxygen attracts the shared pair of electrons more strongly.

Electronegativity is an important concept in predicting the types of chemical bonds (such as ionic or covalent) and the polarity of molecules, which in turn influences their physical and chemical properties.

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if it takes 3.5 hours for the hogwarts express moving at a speed of 120 mi/hr to make it from platform 9 and 3/4 to hogwarts how far apart are they? ​

Answers

The distance travelled by the Hogwarts express is 420 miles. So, they are 420 miles apart  by the Hogwarts express .

What is speed?

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Speed of the Hogwarts express is = 120 mi/hr.

Time interval the Hogwarts moves = 3.5 hours

Hence, The distance travelled by the Hogwarts express is = speed of the Hogwarts express × time interval the Hogwarts moves

= 120 mi/hr × 3.5 hr

= 420 miles.

So, they are 420 miles apart  by the Hogwarts express .

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Final answer:

The distance between platform 9 and 3/4 and Hogwarts is 420 miles.

Explanation:

To determine the distance between platform 9 and 3/4 and Hogwarts, we can use the formula distance = speed × time.

Given that the Hogwarts Express is moving at a speed of 120 mi/hr and takes 3.5 hours to reach Hogwarts, we can calculate the distance as follows: distance = 120 mi/hr × 3.5 hours = 420 miles.

Therefore, the distance between platform 9 and 3/4 and Hogwarts is 420 miles.

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3. Solve the inequality 2(z + 5) + 20 > 6. Kate can make 15 paper fortune tellers in 18 minutes. At this rate, how many paper fortune tellers can she make in 30 minutes? An airplane in a holding pattern flies at constant altitude along a circular path of radius 3.50 km. If the airplane rounds half the circle in 1.50 3 102 s, determine the magnitude of its (a) displacement and (b) average velocity during that time. (c) What is the airplanes average speed during the same time interval? At the beginning of his webpage, Byron used a(n) __________ to provide readers with all the key points while skipping over the details. A. reference B. teaser C. narrative D. summary E. orientation A 10-kg wagon has a speed of 25 m/s. What is its momentum? Which of the following statements concerning family businesses is correct? 1. Family members often work in the business but may not sit on the council. 2. Family businesses employ about 20 percent of America's total workforce. 3. Most top managers at family firms tend to stay in their positions much longer than those at nonfamily firms. 4. Family businesses plan for succession using a critical-point plan. At what depth(km) would a rock experience temperature of 5500C? What is the distance from the point (a, -b, -4) to the origin?O V22-62-16 unitsO V22-b2+16 unitsO Va+b2+ 16 unitsOVa2 +62 - 16 units The concepts of strict scrutiny and suspect classification are used by the Supreme Court to answer which question? If x is a string, then x = new String("OH"); and x = "OH"; will accomplish the same thing. Group of answer choices True False A researcher identified a bacterial enzyme that is essential in the breakdown of glucose. The researcher wants to test a potential antibiotic that acts on the newly identified enzyme. She finds that glucose is indeed broken down at a slower rate when the potential antibiotic is present. Addition of a higher concentration of glucose does not have any impact on Vmax. Which of the following properly characterizes this finding? a. The potential antibiotic may be a competitive or noncompetitive inhibitor of the enzyme. These possibilities could be tested by adding more enzyme. b. The potential antibiotic is a competitive inhibitor of the glucose-converting enzyme and could be an effective treatment for bacterial infections. c. The potential antibiotic is a noncompetitive inhibitor of the enzyme and likely changes the shape of the active site. d. The potential antibiotic reduces the number of available enzymes and is, therefore, a competitive inhibitor. Roman recorded a songthat was 3 minuteslong. Caleb helped writeof the song. How muchdid Caleb help write? What is an example of the professor using descriptive statistics? She characterizes the first-year students at the college as consisting of 543 males and 457 females. She randomly chooses the 100 students to represent the 1,000 volunteers. She infers that if all 1,000 students had done the experiment, the results would show that an average of 34% (plus or minus sampling error) of new words were mistakenly identified as original words because they were conceptually similar. Lee y empareja cada frase con el pronombre correcto para completar la frase. Read and match each sentence with the correct pronoun for the blank. (4 points)1.La doctora es mi prima, la seora Vila. ________ cuida a mi bisabuela.2.Eres Eloy y eres estilista. ________ lavas el pelo.3.El vendedor y yo trabajamos los domingos. ________ vendemos la ropa en oferta.4.Las arquitectas son las seoras Oriol y Vega. ________ trabajan en el departamento de tus tas.a.Ellab.Ellasc.Nosotrosd.T 2 PointsWhat type of electromagnetic radiation is being used in the picture? if you take a dried out white rose and place the stem in food coloring, will the rose turn the color you put the stem in The term _____ distinguishes the person who uses a hardware or software product from the IT workers who develop, install, service, and support the product. Which one is correct? When we use a diagnosis to describe a disability it:tells us all we need to know to support the childonly tells us about some aspect of the childidentifies the strengths of the childhelps us understand the limits of the child's potential In which location would you expect to have the most landslides at the END of the given sequence of events? For all areas, assume that each event (drought, wildfire and heavy rain) is identical.A.Location in the mountains that first experiences a long drought, then experiences wildfires, and then experiences heavy rainB.Location in the mountains that first experiences wildfires, then experiences heavy rain, and then experiences a long droughtC.Location in the plains that first experiences a long drought, then experiences wildfires, and then experiences heavy rainD.Location in the plains that first experiences wildfires, then experiences heavy rain, and then experiences a long drought