Answer:
the answer is B :Bohr believed electron orbits were circular, but Schrödinger’s equations represent complex shapes describing the probable locations of electrons.
Explanation:
just took the test on edge
The main differences between the Schrödinger and Bohr atomic models are the representation of electron orbits and the explanation of the emission and absorption spectrum.
Explanation:
The main difference between the Schrödinger model and the Bohr atomic model is that Bohr believed electron orbits were circular, while Schrödinger's equations describe complex shapes representing the probable locations of electrons. This means that according to Bohr, electrons could only exist in specific orbits, while Schrödinger's model allows for electrons to be found in a range of locations within an atom.
Another difference is that the Bohr model did not explain the emission and absorption spectrum, whereas the energy levels described by Schrödinger's model successfully explained this property.
Lastly, Bohr believed that electrons circled the nucleus due to the attraction between positive and negative charges, while Schrödinger believed that electrons have wave-like properties.
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A scientist completely dissolves gaseous oxygen into a container of liquid water. Which of the following best describes the contents of the container after the oxygen has been dissolved?
A.
an element
B.
a solution
C.
a compound
D.
a substance
STUDY ISLAND
Answer:
Forgive me if I'm wrong but I think the answer is C.
Explanation:
I say this because liquid water is H20 (a combination of two elements) and Oxygen is a singular element. Compound is defined as a thing that is composed of two or more separate elements and thus, I think it's C.
The container contains a compound but is is not formed by dissolving oxygen in water. Water itself is a compound. And dissolved oxygen does not make a solution. Thus, option c is correct.
What is oxygen?Oxygen is 8th element in periodic table. It is a non-metal and exists in gas form. Oxygen is soluble in water and the dissolved oxygen in water maintains the aquatic life.
A solution is formed by dissolving a solid solute in a solvent. Here, oxygen is in gas form and it does not form a solution with solvent water. Hence, the container does not containing a solution. After dissolving oxygen no longer exists as an element also.
A compound is formed by the combination of different atoms. Water is a compound formed from hydrogen and oxygens. Water does not form a new compound by dissolving a gas. Thus, the container contains not a new compound but the water itself.
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Using a refracting telescope, you observe the planet Mars when it is 1.95 × 10 11 m from Earth. The diameter of the telescope's objective lens is 0.977 m . What is the minimum feature size, in kilometers, on the surface of Mars that your telescope can resolve for you? Use 561 nm for the wavelength of light.
Answer:
The minimum feature size is 136.6 km.
Explanation:
It is given that,
Distance from planet Mars and Earth is, [tex]D=1.95\times 10^{11}\ m[/tex]
Diameter of the objective lens, d = 0.977 m
We need to find the minimum feature size, on the surface of Mars that your telescope can resolve for you. The expression for resolving distance is given by :
[tex]y=\dfrac{1.22D\lambda}{d}\\\\y=\dfrac{1.22\times 1.95\times 10^{11}\times 561\times 10^{-9}}{0.977 }\\\\y=136603.78\ m\\\\y=136.6\ km[/tex]
So, the minimum feature size is 136.6 km.
One gram of Uranium averages release 1.01 KJ (10^7) of energy. How much mass could be converted to energy to release this much energy?
Answer:
The amount of mass that needs to be converted to release that amount of energy is [tex]1.122 X 10^{-7} kg[/tex]
Explanation:
From Albert Einstein's Energy equation, we can understand that mass can get converted to energy, using the formula
[tex]E= \Delta mc^{2}[/tex]
where [tex]\Delta m[/tex] = change in mass
c = speed of light = [tex]3 \times 10 ^{8}m/s[/tex]
Making m the subject of the formula, we can find the change in mass to be
[tex]\Delta m = \frac{E}{c^{2}}= \frac{1.01 \times 10^{3} \times 10^{7}}{(3 \times 10^{8})^{2}}= 1.122 \times 10 ^{-7}kg[/tex]
There fore, the amount of mass that needs to be converted to release that amount of energy is 1.122 X 10 ^-7 kg
Multiple lunar eclipses occur each year. How is it possible that each one can look different than the others? Explain.
Answer:
Because they don’t happen every month, a lunar eclipse is a special event. Unlike solar eclipses, lots of people get to see each lunar eclipse. If you live on the nighttime half of Earth when the eclipse happens, you’ll be able to see it. Remembering the Difference. It’s easy to get these two types of eclipses mixed up.
Explanation:
Final answer:
Multiple factors, including visibility, atmospheric conditions, and Earth's shadow, can cause each lunar eclipse to look different.
Explanation:
A lunar eclipse can look different each time due to several factors:
Visibility: Depending on the position of the Moon, its distance from the Earth, and the Earth's location in its orbit, the lunar eclipse may appear more or less visible. This can result in variations in brightness and coloring.Atmospheric Conditions: Weather conditions, such as clouds or pollution, can affect the appearance of a lunar eclipse. These factors can cause the Moon to appear dimmer or alter the color during an eclipse.Earth's Shadow: The angle at which the Moon enters the Earth's shadow can also influence the appearance. Different angles can result in varying degrees of darkness and shading on the lunar surface.These factors combined contribute to the unique appearance of each lunar eclipse, making each one a distinct astronomical event.
Please solve this problem inelastic collision
It will crash at a speed of 5 m/s and that's basically it.
The entropy of steam increases in actual steam turbines as a result of irreversibilities. In an effort to control entropy increase, it is proposed to cool the steam in the turbine by running cooling water around the turbine casing. It is argued that this will reduce the entropy and the enthalpy of the steam at the turbine exit and thus increase the work output.
How would you evaluate this proposal?
Answer:
The proposal is not accepted because of greater reduction in work output and efficiency
Explanation:
The following factors influence the turbine output with the suggestion below
1 - Enthalpy at the turbine exit
2 - Heat losses in the turbine
The work output of the steam turbine is
[tex]W=m(h_1-h_2)-Q_{loss}[/tex]
Where,
m is the mass of thee steam flowing through the turbine,
h₁ is the specific enthalpy of the steam leaving the turbine, and
[tex]Q_{loss}[/tex] is the heat loss from the turbinee due to the cooking water.
Enthalpy at the turbine exit; on cooling the turbine with the cooling water, the beck pressure of the turbine is decrease.
this further decrease the specific enthalpy at the turbine exit.
the result is greater reduction in the work output and efficiency,
Heat losses in water in the turbine;
On passing the cooking water around the turbine mst of the heat is carried away by this cooliing water. As the heat losses increases in the turbine, there is a greater reduction in the work output and efficiency.
Therefore, The proposal is not accepted because of greater reduction in work output and efficiency
Although the proposal to cool the steam in the turbine with water might reduce the local entropy, it would not increase the overall work output. Cooling the steam would also decrease its enthalpy and potentially reduce the turbine's output. Instead, optimizing processes to minimize entropy production would be a better way to improve turbine efficiency.
Explanation:The proposed solution to control the entropy of steam by cooling the steam turbine assumes that reducing both the entropy and enthalpy of the steam at the turbine exit will increase the work output. While it's true that irreversibilities — such as heat transfer and friction — increase the entropy and can reduce the turbine's efficiency, directly cooling the steam in the turbine would not necessarily lead to increased output. This is due to the second law of thermodynamics, which states that the entropy of a closed system will not decrease. Thus, while local entropy may be decreased, the overall entropy in the system (including the cooling water) will still increase.
Moreover, cooling the steam would actually decrease its enthalpy, which would reduce the amount of available energy to perform work, thus potentially decreasing the turbine's output. Therefore, this proposal may not be the best method of increasing the efficiency of a steam turbine. The improvement in turbine efficiency would be better done by optimizing the processes to minimize entropy production as a result of irreversibilities.
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An atom's emission of light with a specific amount of energy confirms that
Answer:
An atom’s emission of light with a specific amount of energy confirms that electrons emit and absorb energy based on their position around the nucleus. The light emitted from an electron is a result of the electron's quantum jumps/leaps ( atomic electron transitions ) to and from different energy levels.
Balance the single replacement chemical reaction
les
)))
A)
KI + CB ---> KCL + 1,
B)
KI + Cl2 --> 2KCL + 12
0
2KI + Cl2 ---> 2KCL + lz
D
2KI + 2Cl2 ---> 2KCL + 212
Answer:the answer is c
Explanation:
It balances correctly
A 60-Watt bulb illuminates a surface a distance d away with
an illuminance of 3600 lux. What would be the illuminance
on a surface a distance 0.5•d away (i.e., one-half the
distance away) when illuminated by a 120-Watt bulb?
Answer:
Explanation:
Relation between power and illumination and distance is as follows
[tex]I = \frac{P}{R^2}[/tex]
For first case
[tex]3600 = \frac{60}{d^2}[/tex]
for second case
[tex]I = \frac{120}{(0.5d)^2}[/tex]
[tex]\frac{I}{3600} = \frac{d^2}{60} \times \frac{120}{.25d^2}[/tex]
I = 3600 x 8
= 28800 lux .
Final answer:
The illuminance on a surface from a 120-Watt bulb at half the distance of an initial setup with a 60-Watt bulb would be 28800 lux, due to the Inverse Square Law for Light and doubling of the bulb wattage.
Explanation:
The question is asking us to determine the illuminance on a surface from a 120-Watt bulb at half the distance of a previous setup with a 60-Watt bulb, which originally had an illuminance of 3600 lux. According to the Inverse Square Law for Light, illuminance changes with the inverse square of the distance. If the distance is halved (d/2), the illuminance increases by a factor of 4 (since (1/0.5)2 = 4). However, since we are also doubling the wattage of the bulb from 60-Watt to 120-Watt, and assuming that the bulb’s efficiency (lumens per Watt) stays the same, the illuminance would double again. Therefore, the new illuminance would be 3600 lux x 4 (due to distance) x 2 (due to wattage), equaling 28800 lux.
Calculate the period of oscillation of a pendulum with a small amplitude whose length is 2.5 meters.
Final answer:
The period of oscillation for a small amplitude pendulum with a length of 2.5 meters can be calculated using the equation T = 2π√(L/g). Using the accepted value of g, the period can be determined to be approximately 3.18 seconds.
Explanation:
The period of oscillation for a small amplitude pendulum can be calculated using the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. In this case, the length of the pendulum is given as 2.5 meters. Plugging in the values, we have T = 2π√(2.5/g).
To find the value of g, we can use the accepted value of 9.8 m/s². Calculating T using this value, we can find the period of the pendulum.
Example Calculation:
T = 2π√(2.5/9.8) = 2π√(0.255102) = 2π(0.5051) ≈ 3.18 seconds
Iron reacts with sulfur to form iron sulfide. If 60 grams of iron reacts with sulfur to produce 90 grams of iron sulfide, how much sulfur has been used in the chemical reaction?
Answer:
34.44 g.
Explanation:
The balanced equation for the reaction is:Fe + S → FeS,It is clear that 1.0 mol of Fe reacts with 1.0 mol of S to produce 1.0 mol FeS.We need to calculate the no. of moles of 60 grams of iron and 90 grams of iron sulfide:no. of moles of Fe = mass/atomic mass = (60.0 g)/(55.845 g/mol) = 1.074 mol.no. of moles of FeS = mass/molar mass = (90.0 g)/(87.91 g/mol) = 1.024 mol.∵ Fe reacts with S with (1: 1) molar ratio.∴ The no. of moles of S needed to react with Fe is 1.074 mol.∴ The no. of grams of S needed = no. of moles x molar mass = (1.074 mol)(32.065 g/mol) = 34.44 g.
1. Explain Why is Great
Britain's climate milder than
Newfoundland's?
Great Britain's climate is milder than Newfoundland's primarily due to the warming influence of the Gulf Stream, which brings warm tropical waters to the western coast of Europe. Additionally, the surrounding waters and geographical features also have a moderating effect on the climate.
The climate in Great Britain is milder than in Newfoundland due to the influence of the Gulf Stream. This ocean current transports warm water from the tropics northward along the western coast of Europe, which moderates temperatures.
Great Britain benefits from this effect, having a type C climate characterized by more temperate weather despite its northern latitude. On the other hand, Newfoundland, located on the eastern coast of Canada, does not receive the same warming benefits of the Gulf Stream, resulting in harsher winters and a more extreme climate.
Different geographical features also contribute to climatic variations. The presence of surrounding water bodies and the moderating effect of the ocean help to maintain a more stable, moderate climate. Coastal areas are generally warmer in the winter and cooler in the summer due to the ocean's temperature regulating properties. Meanwhile, Newfoundland experiences a colder climate partly because it is further from the moderating influence of the Gulf Stream and also because it is more removed from other major bodies of water compared to Great Britain.
A current in a wire increases from 2 A to 6 A. How will the magnetic field 0.01 m from the wire change?
Answer:
It increases to three times its original value. Given the same radius of wire and other constant property. current is directly proportional to the magnetic field.
B1=B2
MoI1/2pir=MoI2/2pir; cancel the same values on both sides
B2/B1=6/2 =3
Explanation:
The magnetic field produced by a current-carrying wire depends on the current and distance from the wire.
Explanation:
The magnetic field produced by a current-carrying wire is given by the formula B = μi / (2πR), where B is the magnetic field strength, μ is the permeability of free space, i is the current in the wire, and R is the distance from the wire.
In this case, the current in the wire increases from 2 A to 6 A. As a result, the magnetic field at a distance of 0.01 m from the wire will also increase. However, the exact value of the magnetic field change can only be determined if the initial distance from the wire is known.
It is important to note that the magnetic field strength is inversely proportional to the distance from the wire, meaning that as the distance increases, the magnetic field strength decreases.
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A force of 1200 N is applied to a drum of radius 80 cm which has a 12 kg mass, m1, attached by a cord
wound on the drum. A second drum of radius 41 cm is bolted on the first and has a 39 kg mass, m2, attached
by a cord wound on it. What is the resulting torque applied to the system?
Answer:
1.022 x 103 N.m
Explanation:
Solution
Given:
The weight of the block of mass m₂ is :
w₂ = m₂*g
Where
w₂ = 39 x 9.8 = 382.2 N
Then,
The weight of the block of mass m₁
w₁= m₁*g;
so,
w₁ = 12 x 9.8 = 117.5 N
Thus,
The tension wrapped in cord on drum (80 cm) T₁ = F - w₁
Now,
T₁ = 1200 - 117.5
T₁ = 1082.5 N
The tension wrapped in the cord on drum (41 cm) T₂ = w₂;
T₂ = 382.2 N
Hence,
We calculate net torque on the center of the drum:
The net torque = T₁ x 0.8 + T₂ x 0.41;
= 1082.5 x 0.8 + 382.2 x 0.41;
= 1.022 x 103 N.m
Therefore, the resulting torque applied to the system is 1.022 x 103 N.m
Peter teacher tells him that he should not place his electric stereo near the edge of the pool because the water in the pool is a conductor what does she mean when she says that the water is an conductor
psdfAnswer:
Explanation:
Water in a pool can conduct electricity, especially if it has impurities like salt, allowing electric charges to flow through it. This makes it dangerous to place electrical devices near the pool, as they can become pathways for electricity if they get wet, posing a risk of electric shocks.
When Peter's teacher says that water is a conductor, she means that water, especially when it contains impurities like dissolved salts, allows electric charges to flow through it. Thinking of it with an analogy, consider a lake full of fish where the lake represents the conductor and the fish represent the charge carriers. These carriers can move freely within the conductor, just like fish can swim anywhere in the lake, but they typically cannot leave the conductor.
Compared to insulators such as glass, where electrons and ions are bound tightly and cannot move freely, water with impurities such as salt water becomes a conductor, allowing charges to move much more easily. This is why having an electric stereo near a pool is dangerous; if the stereo were to fall in, the electricity could travel through the water and potentially cause harm to anyone in or near the pool.
In electrical terms, a good conductor will have charges quickly spread out and reach equilibrium, meaning any potential difference within a conductor is swiftly eliminated, similarly to how a calm body of water would evenly distribute a drop of water across its surface, with no currents flowing. Therefore, it's important to keep electrical devices away from conductors like a pool of water to avoid the risk of electric shocks or damage.
You hold a piece of wood in one hand and a piece of iron in the other. Both pieces have the same volume, and you hold them fully under water at the same depth. At the moment you let go of them, which one experiences the greater buoyancy force?
a. The piece of wood.
b. The piece of iron.
c. They experience the same buoyancy force.
d. More information is needed.
Final answer:
Both the piece of wood and the piece of iron will experience the same buoyancy force because, according to Archimedes' Principle, the buoyant force depends only on the volume of the water displaced, which is equal for both objects since they have the same volume. Option C is correct.
Explanation:
The question asks which one of the two objects held fully under water, a piece of wood or iron with the same volume, will experience the greater buoyancy force upon release.
The answer is c. They experience the same buoyancy force. According to Archimedes' Principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. Since both the piece of wood and the piece of iron have the same volume and are submerged to the same depth, the volume of water displaced by each is the same. Therefore, the weight of water displaced by each object is the same, which means the buoyancy force experienced by both objects is the same, regardless of their densities or materials.
So far in this tutorial, you have been launching a pumpkin. Let's see what happens to the trajectory if you launch something bigger and heavier, like a car. Compare the trajectory and range of the pumpkin to that of the car, using the same initial speed and angle (e.g., 45∘). (Be sure that air resistance is still turned off.) Which statement is true? So far in this tutorial, you have been launching a pumpkin. Let's see what happens to the trajectory if you launch something bigger and heavier, like a car. Compare the trajectory and range of the pumpkin to that of the car, using the same initial speed and angle (e.g., ). (Be sure that air resistance is still turned off.) Which statement is true? The trajectories differ; the range of the car is longer than that of the pumpkin. The trajectories differ; the range of the car is shorter than that of the pumpkin. The trajectories and thus the range of the car and the pumpkin are identical.
Answer:
The trajectories and thus the range of the car and the pumpkin are identical.
Explanation:
Trajectory of projectile is given by
[tex]Y=x \tan \theta-\frac{gx^2}{2u^2 \cos \theta ^2}[/tex]
Also range is given by,
[tex]R=\frac{u^2 \sin 2 \theta}{g}[/tex]
Trajectory and path both are independent on mass. Only depends on initial speed u and angle of projection [tex]\theta[/tex]
So Range and Trajectory both will be same.
Identical trajectory and equal range.
Therefore, The trajectories and thus the range of the car and the pumpkin are identical.
Answer:
The trajectories and thus the range of the car and the pumpkin are identical.
Explanation:
The nuclear equation is incomplete.
What particle completes the equation?
Answer: C
Explanation: 1+7 = 6+2 =8 -protons
1+15 = 12+4 = 16 - protons +neutrons
The complete equation for the given nuclear reaction can be represented as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; \ce {^{12}_{6}C} + \ce {^{4}_{2}He}[/tex]
What is the nuclear reaction?In nuclear chemistry, a nuclear reaction can be defined as a nuclear process in which two nuclei and subatomic particles, collide to produce one or more new nuclides. Therefore, a nuclear reaction will be caused a transformation of one nuclide to another nuclide.
The term "nuclear reaction" can be referred either to a change in a nuclide by collision with a subatomic particle or to a spontaneous change of a nuclide without any collision.
The given incomplete reaction can be represented as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; ? + \ce {^{4}_{2}He}[/tex]
The sum of the mass number on both sides will be equal:
1 + 15 = A + 4
A = 16 - 4
A = 12
The sum of the atomic numbers on both sides of the arrow will be equal :
1 + 7 = Z + 2
Z = 8 - 2
Z = 6
Therefore, the missing nuclide is ¹²C₆. The complete nuclear equation will be written as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; \ce {^{12}_{6}C} + \ce {^{4}_{2}He}[/tex]
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A truck exerts 2700 N of force on a car that is stuck in the mud, and does not move. How much work has the truck performed?
Answer:
zero
Explanation:
although force was applied as long as there's no movement ,no work has been done
mathematically;work=force×distance
work=2700×0
work=0J
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Which of the following colors is not a primary color of light
Answer:
Any other color, other than Red, Green, and Blue.
Explanation:
Those three are your only primary colors.
During spring tide, the sun, earth, and moon are in a straight line. This causes...............
a. small difference between high and low tides
b. a higher chance of lunar eclipses
c. a higher chance of solar eclipses
d. a large difference between high and low tides
What are all atoms with the same number of protons called
A. cells
B. elements
c. molecules
OD. compounds
Answer:
B elements
...............
Predict what will be observed in each experiment below. experimentpredicted observation (choose one) A student sees tiny bubbles clinging to the inside of an unopened plastic bottle full of carbonated soft drink. The student squeezes the bottle. The bubbles will shrink, and some may vanish.The bubbles will grow, and more may appear.The bubbles won't change.I need more information to predict what will happen to the bubbles. A student sees tiny bubbles clinging to the inside of an unopened plastic bottle full of carbonated soft drink. The student opens the bottle, and hears a loud hiss as gas under pressure escapes from the bottle. The bubbles will shrink, and some may vanish.
Answer:
A
Explanation: The bubbles will shrink , some may vanish. SInce the bottle is unopened , squeezing the bottle will increase the pressure on the ca p.
Answer:
B) The bubbles will grow, and more may appear.
Explanation:
You have observed that it is possible that some of your organization's projects may end up having little or no value after they are completed. You are tasked with selecting potential future projects. Which type of projects would you recommend the organization consider?
a) only those projects that require a low budget
b) only those projects that other organizations have successfully completed
c) only projects similar to projects the team is experienced with
d) only those projects that are tied to specific organizational goals
Which planets receive more of the Sun's concentrated light?
Answer: Mercury is closest to the Sun and receives more of the Sun's concentrated light.
Explanation: I hope this helps :]
Answer:
The planets closest in the solar system rotation, or the "inner four"
Mercury recieves the most though.
(The inner four include Mercury, Venus, Earth, and Mars)
i hope this helps!
Explanation:
A tennis ball has a mass of 0.058 kg and is moving to the right at 40 m/s. What is
the momentum of the tennis ball? (p = mv)
2.32
690
1.35
2320
A pinanong ball has a mass of 0 045 ka Approximately how fast must the ping
Answer:
since momentum = mass x velocity
m = 40m/s 0.058kg
m = 2.32
What does ROCAPV mean? It says related to electricity.
Answer: Rancho de Area Comunes PV
Explanation: it means
Rancho de Area Comunes PV
In an AC Monte Roca PV System Profile, where the following are depicted:
Location
Commissioning
Production
Operator
PV system power
Module
And communication.
A tennis ball has a mass of 0.058 kg and is moving to the right at 40 m/s. What is the momentum
Explanation:
Mass = 0.058Kg
Velocity = 40m/s
Momentum P = ?
P = mv
P = 0.058 × 40
P = 2.32Kgm/s
how do i play football in pe
Answer:
unsure
Explanation:
Romeo lanza suavemente guijarros a la ventana de julieta y quiere que los guijarros golpeen la ventana solo con con un componente horizontal de velocidad el esta parado en el extremo de un jardin de rosas 4.5m por abajo de la ventana y a 5.0m de la base de la pared cual es la rapidez de los guijarros cuando golpean la ventana
The speed of the pebbles when they hit the window is approximately 7.07 m/s.
What is the speed of the pebbles when they hit the window?Romeo wants to throw pebbles horizontally at Juliet's window. The window is 4.5m above him and 5.0m away from the wall. The pebbles' speed when they hit the window is about 7.07 m/s. This is calculated by determining the time it takes for the pebbles to reach the window vertically, using the equation t = [tex]\sqrt{\frac{2d}{g} }[/tex].
Then, the horizontal velocity is found by dividing the horizontal distance by the time of flight. The overall speed is the square root of the horizontal velocity squared, which is approximately 7.07 m/s.
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Romeo stands 4.5 meters below Juliet's window, 5.0 meters from the wall, and throws pebbles with horizontal velocity. Calculations based on time of flight and Pythagoras yield a speed of approximately 5.21 meters per second at impact.
To find the speed of the pebbles when they hit Juliet's window with only a horizontal component of velocity, we can use the following steps:
Calculate the time it takes for the pebbles to reach the window vertically.
We can use the formula for the time of flight for an object in free fall:
[tex]\[t = \sqrt{\frac{2d}{g}}\][/tex]
Where:
- t is the time of flight.
- d is the vertical distance (4.5 meters in this case, the height of the window).
- g is the acceleration due to gravity (approximately 9.81 m/s² on Earth).
Let's calculate t:
[tex]\[t = \sqrt{\frac{2 \cdot 4.5\,m}{9.81\,m/s^2}}\][/tex]
t is approximately 0.96 seconds.
Calculate the horizontal velocity.
Now that we know the time of flight (t), we can find the horizontal velocity [tex](\(v_x\))[/tex] by dividing the horizontal distance (5.0 meters) by the time of flight:
[tex]\[v_x = \frac{5.0\,m}{0.96\,s}\][/tex]
[tex]\(v_x\)[/tex] is approximately 5.21 m/s.
Calculate the overall speed when the pebbles hit the window.
To find the overall speed (v), we use the Pythagorean theorem because the pebbles' motion consists of both horizontal and vertical components:
[tex]\[v = \sqrt{v_x^2 + v_y^2}\][/tex]
Where:
- [tex]\(v_x\)[/tex] is the horizontal velocity (5.21 m/s, as calculated).
- [tex]\(v_y\)[/tex] is the vertical velocity. Since the pebbles are thrown horizontally, \[tex](v_y[/tex]= 0.
Now, calculate v:
[tex]\[v = \sqrt{5.21\,m/s)^2 + 0^2}\][/tex]
v is approximately 5.21 m/s.
So, the speed of the pebbles when they hit Juliet's window is approximately 5.21 m/s.
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The question probable may be:
Romeo gently throws pebbles at Juliet's window and wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the end of a rose garden, 4.5 meters below the window and 5.0 meters away from the base of the wall. What is the speed of the pebbles when they hit the window?