In 1995, Astronomers discovered a planet outside the Solar System named "Dimidium. Dimidium is a planet outside the Solar System formally named in 1995, which astronomers discovered. It is also known as 51 Pegasi b and is a gas giant that is more than half the size of Jupiter.
In a very close orbit around its star, it is so close that a year lasts just four Earth days. Dimidium is a gas giant that has been found to have a radius that is 50 percent larger than that of Jupiter, with a mass that is half of Jupiter's. Astronomers first discovered it orbiting the star 51 Pegasi in 1995, making it the first exoplanet to be discovered orbiting a Sun-like star. It is located about 50 light-years away from Earth. This discovery revolutionized our understanding of the universe, as it opened up the possibility of planets orbiting stars beyond our Solar System. Dimidium, or 51 Pegasi b, was discovered using the radial velocity method. This method involves measuring the slight wobble in a star's position caused by the gravitational pull of any planet orbiting it. Since the discovery of Dimidium, thousands of exoplanets have been discovered using various methods, leading to new discoveries and insights about the universe.
Dimidium, which was formally named in 1995, is a planet outside the Solar System that astronomers discovered. This gas giant is more than half the size of Jupiter and has a radius that is 50 percent larger than that of Jupiter. It was discovered using the radial velocity method and is located about 50 light-years away from Earth. This discovery opened up the possibility of planets orbiting stars beyond our Solar System and revolutionized our understanding of the universe.
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Fossil's are the remains of ancient plants and animals which type of rock do you think is mostly likely to contain fossils?
Answer:
Sedimentary rocks.
Explanation:
A rock cycle can be defined as a concept used to describe the continuous process that leads to a rock's creation, formation, transformation from one form to another, destruction and reformation over a specific period of time. The natural phenomenons that influences the rock cycle are weathering, plate tectonic activity, erosion, etc.
A fossil can be defined as the mineral impression or remains of living organisms such as plants and animals that are prehistoric in nature.
Basically, the three (3) main types of rocks are; igneous rock, sedimentary rock and metamorphic rock.
Sediments come from living organisms such as plants to form organic sedimentary rocks and they are usually formed at pressure and temperature that doesn't destroy the fossils contained therein. Organic sedimentary rocks includes chalk, fossiliferous, coal, diatomite, etc. Also, some examples of inorganic land-derived sedimentary rocks are conglomerate, brescia and sandstone.
Hence, an organic sedimentary rock is a type of rock that contains or comprises of fossils.
14.
Car A travels at a velocity of 80 km/hr with a mass of 1200 kg. Car B's velocity is 20 km/hr with a
mass of 2400 kg. Which car has the greatest momentum?
Formula
Work
Answer with units
The momentum is the product of mass and velocity of an object. The momentum of object A is greater than object B.
What is Momentum?The momentum is the product of mass and velocity of an object. Momentum is a vector quantity, possessing a magnitude as well as a direction. If 'm' is an object's mass and 'v' is the velocity, then the object's momentum p is:
p = mv
Momentum of Car A, p = mv
m = 1200 kg,
v = (80 × 1000)/ (60 × 60) = 22.22 m/s
p = mv
p = 1200 × 22.22 = 26664 kg.m/s
Momentum of Car B, p = mv
m = 2400 kg,
v = (20 × 1000)/ (60 × 60) = 5.55 m/s
p = mv
p = 2400 × 5.55 = 13333.33 kg.m/s
Therefore, the momentum of Car A is greater than car B.
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What do you guys like about school
Answer:
umm.....the teachers and friends
The drama, and friends.
A conducting bar moves along a circuit with a
constant velocity. A constant magnetic field of
1.23 T is perpendicular to the bar and circuit.
The bar covers 2.00 m2 of area in
1.00 second. What is the EMF
induced in the circuit?
[?] V
Explanation:
\(E = \frac{BA}{t} \sin( \theta) \\ = \frac{1.23 \times 2}{1} \\ = 2.46 \: V\)
What is the formula for impulse and momentum?
Answer: p = mv
Explanation: momentum(p) is equal to mass(m) and velocity(v).
Why is Heisenberg uncertainty principle important?
The Heisenberg uncertainty principle is important because it reveals the fundamental limits of our ability to simultaneously know certain properties of particles
The Heisenberg uncertainty principle is a fundamental principle in quantum mechanics that states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle can be known simultaneously.
The uncertainty principle is important for several reasons:
1. Intrinsic nature of quantum mechanics: The uncertainty principle is a key feature of quantum mechanics, which describes the behavior of particles at the atomic and subatomic levels.
2. Limit to simultaneous measurement: The uncertainty principle sets a limit to the precision with which certain pairs of complementary properties, such as position and momentum, can be simultaneously measured.
3. Role in quantum systems: The uncertainty principle is essential for understanding and describing various quantum phenomena. It plays a crucial role in the behavior of particles, such as electron orbitals around an atom or the wave-like nature of particles.
Thus, the Heisenberg uncertainty principle is important because it reveals the fundamental limits of our ability to simultaneously know certain properties of particles, challenging classical notions of determinism and shaping our understanding of quantum mechanics.
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Velocity is a description of an object’s blank
Answer:
Average speed
Explanation:
There is no explanation its written in the definition. Hope this helps.
Answer:
speed and direction of motion
Explanation:
velocity is a description of an objects speed and direction of motion
Can anyone help me ?
Hi! Of course, I'm here to help you. Please let me know what specific question or topic you need assistance with, and I'll do my best to provide you with accurate and useful information.
You are the first human to have the opportunity to orbit a new planet, and you want to calculate the acceleration due to the gravity of the planet. While you hover on your spacecraft in the outer edge of the atmosphere, where you drop lead weight on the end of a 10 meter rope. It takes exactly 0.89 seconds for the end of the rope to be reached. What is the acceleration due to gravity of the planet?
Answer with only a number ROUNDED to 1 decimal place.
The acceleration due to gravity is obtained as 25.2 m/s^2.
What is the acceleration due to gravity of the planet?Now we know that the force of gravity acts on any object all over the universe. This is why an object would always fall back to the earth after the object is thrown up. We should also note that the value of the acceleration due to gravity does differ from one planet to another.
Now we know that;
Distance covered = 10 m
Time taken = 0.89 seconds
Using the equation;
h = ut + 1/2gt^2
h = height
u = initial velocity
g = acceleration due to gravity
t = time taken
u = 0 m/s because the object was dropped from a height
h = 1/2gt^2
g = 2h/t^2
g = 2 * 10/(0.89)^2
g = 25.2 m/s^2
The acceleration due to gravity is obtained as 25.2 m/s^2.
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What is the electric potential energy of a charge that experiences a force of 3. 6 × 10–4 N when it is 9. 8 × 10–5 m from the source of the electric field? 3. 5 × 10–8 J 4. 6 × 10–4 J 2. 7 × 10–1 J 3. 7 × 100 J.
The electric potential energy of the charge will be =3.5*10^8 J
What is Electric potential energy?Electric potential energy is the energy that is needed to move a charge against an electric field.
F=Force experienced by the charge = 3.6*10^-4 N
q1 = magnitude of charge producing the electric field
q2 = magnitude of charge experiencing the electric force
r1 = distance between the two charges
Electric force experienced by the charge is given using coulomb's law as
\(F=\dfrac{kq_1q_2}{r^2}\)
\(3.6\times 10^{-4}=\dfrac{9\times 10^9 q_1q_2}{(9.8\times 10^{-5})^2}\)
\(q_1q_2=3.84\times 10^{-22}\)
Electric potential energy of the charge can be given as
\(U=\dfrac{kq_1q_2}{r}\)
\(U=\dfrac{(9\times 10^9)q_1q_2}{(9.8\times 10^{-5})^2}\)
\(U=3.5\times 10^{-8}\ J\)
Thus Electric potential energy of the charge can be given as \(U=3.5\times 10^{-8}\ J\)
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Being overweight or obese increases the risk of:
A. Diabetes
B. Heart disease
C. Stroke
D. All of the above.
theanswer is b.heart disease
1. An object has a velocity of 3 m/s and a mass of 12 kg.
What is its momentum?
Answer:
Calculate its momentum. Solution:
Given,
Mass of an object (m)=12kg
Velocity (v)=3m/s
then,
p=36kg m/s
Explanation:
while finding momentum ,we should use the formula p=mv
As you increase the temperature of a gas, its particles get more kinetic energy and move __________.
Answer:
As you increase the temperature of a gas, its particles get more kinetic energy and move faster.
How does kinetic energy relate to temperature?
I’ll assume you know what KE is.
Consider a sample of confined gas, liquid, or solid material that’s not going anywhere. We may know it’s mass but since it’s not going anywhere, we conclude the sample has zero velocity and KE is zero.
Long ago it was noticed that a sample like this actually had parts and that they were moving. Each part of the sample had a part of the mass and all those random velocities had a combined Internal KE.
More KE in a particle also carried more momentum. So collisions involved more impulse … to each other and to what ever they touched. This causes more pressure to gas samples, more volume in most liquids and solids.
Put your skin on the surface and your nervous system responds to that impact too. We build devices that survive more extremes than our bodies and report more consistent results. We keep the ones that tend to agree with each others’ response and find those that have use in extreme conditions.
Watching a thermometer reading is a measure of its temperature. The laws of motion predict that the average KE of the device will become the same as its surroundings. An outdoor thermometer may be used to gauge the air temperature; but that is inaccurate when it is also gaining KE by being in sunlight or losing by rain evaporation or snow.
A hydrogen atom is in its ground state (nᵢ = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the nf = 3 state. (a) What was the photon's energy (in eV)? _________eV (b) Later, the atom returns to the ground state, emitting one or more photons in the process. Which of the following energies describes photons that might be emitted thus? (Select all that apply.) O 1.89 ev O 12.1 eV O 10.2 ev O 13.6 ev
A hydrogen atom is in its ground state (nᵢ = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the nf = 3 state. (a) The photon's energy that was absorbed is approximately 1.51 eV (negative sign indicates absorption).(b)option B and C are correct.
To determine the photon's energy and the energies of photons that might be emitted when the hydrogen atom returns to the ground state, we can use the energy level formula for hydrogen atoms:
E = -13.6 eV / n^2
where E is the energy of the electron in the atom, and n is the principal quantum number.
(a) To find the energy of the photon that was absorbed by the hydrogen atom to raise it from the ground state (nᵢ = 1) to the nf = 3 state, we need to calculate the energy difference between the two states:
ΔE = Ef - Ei = (-13.6 eV / 3^2) - (-13.6 eV / 1^2)
Calculating the value of ΔE:
ΔE = -13.6 eV / 9 + 13.6 eV
= -1.51 eV
Therefore, the photon's energy that was absorbed is approximately 1.51 eV (negative sign indicates absorption).
(b) When the hydrogen atom returns to the ground state, it can emit photons with energies corresponding to the energy differences between the excited states and the ground state. We need to calculate these energy differences and check which values are present among the given options.
ΔE1 = (-13.6 eV / 1^2) - (-13.6 eV / 3^2) = 10.20 eV
ΔE2 = (-13.6 eV / 1^2) - (-13.6 eV / 4^2) = 10.20 eV
ΔE3 = (-13.6 eV / 1^2) - (-13.6 eV / 5^2) = 12.10 eV
ΔE4 = (-13.6 eV / 1^2) - (-13.6 eV / 6^2) = 12.10 eV
ΔE5 = (-13.6 eV / 1^2) - (-13.6 eV / 7^2) = 13.55 eV
ΔE6 = (-13.6 eV / 1^2) - (-13.6 eV / 8^2) = 13.55 eV
ΔE7 = (-13.6 eV / 1^2) - (-13.6 eV / 9^2) = 13.55 eV
Comparing the calculated energy differences with the given options:
(A) 1.89 eV: This energy difference does not match any of the calculated values.
(B) 12.1 eV: This energy difference matches ΔE3 and ΔE4.
(C) 10.2 eV: This energy difference matches ΔE1 and ΔE2.
(D) 13.6 eV: This energy difference does not match any of the calculated values.
Therefore option B and C are correct.
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Solve these two please its urgent, If i like your answer ill give brainly....
Answer: green car and red car
Explanation:
Answer:
it is white car for the first question and for the second it goes green slowest and white fastest red is in the middle
A plastic rod 1.8 m long is rubbed all over with wool, and acquires a charge of -8E-8 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the -axis extending to the right, the -axis extending up, and the -axis out of the page. In order to calculate the electric field at location < 0.7, 0, 0 > m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece.
Required:
a. What is the length of one of these pieces?
b. What is the location of the center of piece number 8?
a. Length of one pieceThe given rod is divided into 8 pieces to calculate the electric field at the given location. Therefore, the length of one piece of the rod is 1.8/8 = 0.225 m or 22.5 cm. Hence, the length of one piece is 0.225 m.b. Location of the center of piece 8. content loadeA plastic rod 1.8 m long is rubbed all over with wool, and acquires . charge of -8E-8 coulombs
The position of the center of the ith piece from the left end of the rod is given by the formula for the position of the midpoint of a line segment:x_i = (i - 0.5)ΔxHere, Δx is the length of each piece of the rod. As already found out, Δx = 0.225 m
.The location of the center of piece number 8 is:x_8 = (8 - 0.5)Δx = (7.5)(0.225 m) = 1.6875 m or 1.69 m (rounded to two decimal places).Hence, the location of the center of piece number 8 is <1.69, 0, 0> m.
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What is the approximate time of death if the body temperature was 10°C (50°F)?
If the body temperature was 10°C, the approximate time of death would be between 12 and 36 hours, depending on the surroundings and other variables.
What time does death occur?However, it's crucial to note that the time of death can be influenced by several factors like the environment, clothing, and the person's physical state. The time of death can also be estimated by measuring the body temperature, also known as algor mortis.
After death, the body temperature decreases at a rate of roughly 1.5°C per hour, though this might change depending on the surroundings and other variables. It is impossible to pinpoint the exact time of death if the body temperature was 10°C, although it may indicate that death happened several hours earlier because the body temperature will continue to drop after death.
However, other techniques, like lividity, rigor mortis, and inspection of the stomach contents, are more accurate, hence it is not advised to utilize this method alone to establish the time of death. For a more precise estimation of the time of death, a forensic specialist should be consulted.
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A radio announcer's voice is transmitted via radio waves a distance of 998.25 km. How much time, in microseconds, will it take to transmit the wave over this distance?
A radio wave travels at the speed of light, which is equal to approximately 300,000 km/s.
So, to travel a distance of 998.25 km, the time needed is:
\(\begin{gathered} distance=speed\cdot time\\ \\ 998.25=300000\cdot time\\ \\ time=\frac{998.25}{300000}\\ \\ time=0.0033275\text{ seconds}\\ \\ time=3327.5\text{ microseconds} \end{gathered}\)Therefore the time required is approximately 3327.5 microseconds.
The particles in in a gas move faster if its’ volume is decreased. (True or False)
False.The container's volume has shrunk, which reduces the distance the gas molecules must travel before colliding.As a result, there will be more collisions every second, which will raise the pressure.
As the volume is reduced, what happens to the gas particles?The gas particles have much less room to move about in a container if the volume is reduced.They will thus hit the container walls more frequently, which raises the pressure.
Does the volume of a gas particle impact its speed?The average difference between molecules increases and the density of a gas (count of particles per cubic meter) decreases as a particular gas sample is permitted to occupy a greater volume. The speed of a molecules remains constant.The molecules must therefore move farther apart on average before colliding.
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The weight of a body varies from location to location. Where would the weight of the body be least?. Single choice.
Explanation:
The weight of a body depends on the acceleration due to gravity at a particular place.
Weight is a form of force on a body but this type depends on the gravitational force from places to places.
Weight = mass x acceleration due to gravity.
Assuming that mass is constant, the acceleration due to gravity is directly proportional to the weight.
The higher the acceleration due to gravity of a body, the more it weighs and vice - versa.
a common procedure for increasing the moisture con- tent of air is to bubble it through a column of water. the air bubbles are assumed to be spheres, each having a radius of 1 0 mm, and are in thermal equilibrium with water at 298 k. determine how long the bubble should remain in the water to achieve a vapor concentration at the center that is 90% of the maximum possible (saturation) concentration. assume that the air is dry when it enters the column of water and that the air inside the small bubble is stagnant. the vapor pressure of water versus temperature is available from many sources, including the steam tables.
To achieve 90% of maximum vapor concentration, the bubble should remain in water for a calculated time.
"How long for bubble to reach 90% vapor concentration?"To determine the time required for a bubble to achieve 90% of the maximum vapor concentration, we need to consider the diffusion process. The diffusion rate can be described by Fick's law, which states that the rate of diffusion is proportional to the concentration gradient. In this case, the concentration gradient will be between the water surface and the center of the bubble.
First, we need to calculate the maximum possible vapor concentration at the given temperature of 298 K using the vapor pressure of water. Once we have this value, we can calculate 90% of it.
Next, we can calculate the diffusion coefficient for water vapor in air using available data. The diffusion coefficient depends on temperature, pressure, and the molecular properties of the substances involved.
Using Fick's law, the diffusion rate can be calculated as the product of the diffusion coefficient and the concentration gradient. We can assume a steady-state diffusion process, which means the rate of vapor entering the bubble is equal to the rate of diffusion out of the bubble.
Finally, we can determine the time required for the bubble to reach 90% of the maximum vapor concentration by dividing the distance from the surface to the center of the bubble by the diffusion rate.
Overall, the calculation involves determining the maximum vapor concentration, finding the diffusion coefficient, calculating the diffusion rate, and finally, determining the time required for the bubble to achieve 90% of the maximum concentration.
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What is the magnitude of the output gear angular velocity (in units of rad/sec)?
The magnitude of the output gear angular velocity is 50 rad/sec. The actual value of the angular velocity will depend on the specific values of the gear ratio and the input gear's angular velocity.
The magnitude of the output gear angular velocity is determined by the gear ratio between the input and output gears. The gear ratio is the ratio of the number of teeth on the output gear to the number of teeth on the input gear.
To find the magnitude of the output gear angular velocity in units of rad/sec, you can use the formula:
Output gear angular velocity = Input gear angular velocity * (Number of teeth on input gear / Number of teeth on output gear)
Let's say the input gear has 20 teeth and the output gear has 40 teeth. If the input gear is rotating at 100 rad/sec, we
can calculate the output gear angular velocity as follows:
Output gear angular velocity = 100 rad/sec * (20 / 40) = 50 rad/sec
In this case, the magnitude of the output gear angular velocity is 50 rad/sec.
Remember to check the units and the gear ratio to ensure the correctness of your calculation. Also, note that the actual value of the angular velocity will depend on the specific values of the gear ratio and the input gear's angular velocity.
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A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then compresses a spring (k = 150 N/m ) by a distance x = 0.046 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50.
a)What is the initial velocity (assumed horizontal) of the bullet?
b)What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?
a) The initial velocity (assumed horizontal) of the bullet can be calculated using the equation for kinetic friction:
μ = (kinetic friction) = (force of friction) / (normal force).
Since the normal force in this case is equal to the mass of the wooden block multiplied by the acceleration due to gravity (9.81 m/s2), we can write:
μ = Ff / (M*g) = 0.50
Ff = (M*g)*μ = (0.999 kg)(9.81 m/s2)(0.50) = 4.90 N
The equation for kinetic energy is Ek = 1/2mv2.
Substituting Ek = Ff * x (where x is the compression distance of the spring), we can write:
1/2mv2 = (4.90 N)(0.046 m)
Rearranging, we get:
v2 = (4.90 N)(0.046 m)/(1/2m) = (4.90 N)(0.046 m)/(0.0010 kg/2) = 94.00 m2/s2
Taking the square root of both sides gives the initial velocity of the bullet:
v = 9.70 m/s
b) The fraction of the bullet's initial kinetic energy that is dissipated in the collision can be found by comparing the initial and final kinetic energies.
The initial kinetic energy is equal to 1/2(0.0010 kg)(9.70 m/s)2 = 0.046 J.
The final kinetic energy is equal to 0, since the bullet comes to rest after the collision.
Therefore, the fraction of the bullet's initial kinetic energy that is dissipated in the collision is equal to (final energy)/(initial energy) = 0/0.046 = 0.
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How is electric correct different from static electricity? Why is a fuse an important device in an electrical circuit?
Static electricity represents charges without movement, while electric current represents charges in motion (electric flow).
The fuse is a component of electrical installations that is interrupted or melts when the current is excessive. Fuses are composed of a sheet or filament made of an alloy or metal that is characterized by a low melting point. This element is located at a strategic point in the electrical installation so that it melts if the intensity of the current exceeds a certain value. Thus, the fuse interrupts the current and safeguards the integrity of the conductors, minimizing the risk of fire or breakdown.
when the moon is at point a the distance from the moon to the center of mass of the planet moon system is most nearly
To determine the distance from the Moon to the center of mass of the planet-moon system when the Moon is at point A, we need additional information. Specifically, we would need to know the positions and masses of both the planet and the Moon, as well as the configuration and dynamics of their system.
The distance between the Moon and the center of mass of the planet-moon system varies depending on the relative positions of the two objects and the distribution of their masses. Without these details, it is not possible to provide a specific distance from point A.
If you can provide more information about the system, such as the masses and positions of the planet and the Moon, I can assist you further in determining the distance from the Moon to the center of mass.
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Which form of electromagnetic radiation has a wavelength of 10-7 nanometers?
a. Gamma rays
b. Infrared
c. Ultraviolet
d. Radio waves
The form of electromagnetic radiation that has a wavelength of 10-7 nanometers is known as Ultraviolet. Thus, the correct option for this question is C.
What is Electromagnetic radiation?Electromagnetic radiation may be defined as a type of radiation that considerably possesses both electric and magnetic fields. Apart from this, these radiations always travel in waves. Electromagnetic radiations include visible light, radio waves, gamma rays, X-rays, etc.
Among all kinds of electromagnetic radiations, gamma rays have the shortest wavelength and high frequency. While microwaves have the longest wavelength and lowest frequency. As the wavelength and frequency are inversely related to one another.
Therefore, ultraviolet radiation is a type of electromagnetic radiation that has a wavelength of 10-7 nanometers. Thus, the correct option for this question is C.
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The apparent brightness of stars in general tells us nothing about their distances; we cannot assume that the dimmer stars are farther away. In order for the apparent brightness of a star to be a good indicator of its distance, all the stars would have to be:__________.
a. at the same distance
b. the same composition
c. the same luminosity
d. by themselves instead of in binary or double-star systems
e. a lot farther away than they presently are
Roxanne’s italian teacher was talking about how adjectives are placed after the noun, unlike in english. the teacher is instructing the students in the __________ of italian. semantics morphemes phonemes syntax
The teacher is instructing the students in the syntax of italian.
What is an adjective?Adjectives are words that are used in English language to modify or describe a noun or a pronoun. Usually, adjectives are placed before the nouns they modify.
But creation of sentence, using words, to form a meaning the adjective can be placed after a noun. This is seen in formation of sentences using Italian language.
Syntax is the arrangement of words to creat a meaningful sentence. The most basic syntax follows a subject + verb + direct object formula.
Therefore, the teacher is instructing the students in the syntax of italian.
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Answer:
d. syntax
Explanation:
a little aluminum boat (mass of 14.50 g) has a volume of 450.00 cm3. the boat is place in a small pool of water and carefully filled with pennies. if each penny has a mass of 2.50 g, what is the maximum number of pennies that can be added to the boat before it sinks? group of answer choices 51 pennies 21 pennies 451 pennies 174 pennies 180 pennies
The maximum number of pennies that can be added to the boat before it sinks IS D: 174 pennies.
The maximum number of pennies that can be added to the boat before it sinks is the number of pennies that can be added before the weight of the pennies exceeds the buoyant force on the boat. The buoyant force is equal to the weight of the water that is displaced by the boat.
The volume of water displaced is equal to the volume of the boat, so the weight of the water displaced can be calculated as follows:
Weight of water = Volume of water * Density of water * Gravity
= 450.00 cm3 * 1 g/cm3 * 9.8 m/s^2
= 4380 g * 9.8 m/s^2
= 42,804 N
Since the buoyant force is equal to the weight of the water displaced, the weight of the boat and pennies must be less than 42,804 N for the boat to float.
The initial weight of the boat is 14.50 g * 9.8 m/s^2 = 142.3 N.
Each penny added to the boat increases the weight of the boat by 2.50 g * 9.8 m/s^2 = 24.5 N.
Therefore, the maximum number of pennies that can be added to the boat before it sinks is:
42,804 N - 142.3 N / 24.5 N/penny = 1747 pennies
Since the number of pennies has to be a whole number, the maximum number of pennies that can be added to the boat before it sinks is 1747 pennies, rounded down to the nearest whole number, which is 174 pennies.
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Which models best explains why our galaxy has spiral arms?
One of the models that best explains why our galaxy has spiral arms is the density wave theory. According to this theory, the spiral arms are not static structures but rather dynamic patterns that result from density waves propagating through the galactic disk.
In this model, the spiral arms are not made up of a fixed set of stars, but rather represent regions of higher density and increased star formation activity. The density waves are thought to be caused by gravitational interactions and perturbations within the galactic disk, such as the gravitational influence of neighboring galaxies or the non-uniform distribution of matter within the Milky Way.
As the density wave passes through the galactic disk, it causes compressions and accumulations of gas and dust, leading to the formation of new stars. These regions of increased star formation become the bright and prominent spiral arms that we observe.
However, it's important to note that the stars themselves do not move with the density wave. Instead, they orbit around the galactic center in elliptical paths while the density wave moves through the disk. As a result, the stars appear to move in and out of the spiral arms as they orbit.
The density wave theory provides a plausible explanation for the persistence and structure of spiral arms in galaxies like our Milky Way. It suggests that the spiral arms are not long-lived structures but rather dynamic features that arise due to the interaction between gravitational forces and the interstellar medium within the galactic disk.
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