The reason behind the terrestrial planets denser than Jovian planets are gravity compresses terrestrial planets to a higher degree, making them denser. (option d)
The terrestrial planets formed closer to the Sun in the inner solar system, where the protoplanetary disk was hotter and denser. This meant that only the most massive and dense materials, such as metals and rock, could condense and form planets.
In mathematical terms, the density of a planet can be expressed as its mass divided by its volume:
density = mass/volume
The mass of a planet depends on the amount of material it contains, while the volume of a planet depends on its size and shape. The more massive a planet is, the greater its gravitational pull, which can cause the planet's materials to compress and increase its density.
Overall, the density of a planet is determined by a complex interplay of factors, and while terrestrial planets tend to be denser than Jovian planets, there are exceptions to this rule.
Hence option (a) is correct.
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The fastest pitched baseball was clocked at 47 m/s. Model the throw as being caused by a constant, horizontal force over a distance of 1. 0 m. A baseball has a mass of 150 g.
The force the pitcher exerts on the ball during this record-setting pitch is 160.15 N. The force exerted on the baseball as a fraction of the pitcher's weight is 0.195.
What is a force?Concepts related to force include thrust, which increases the velocity of an object; drag, which decreases the velocity of an object; and torque, which produces changes in the rotational speed of an object. In an extended body, each part usually applies forces on the adjacent parts; the distribution of such forces through the body is internal mechanical stress.
The given parameters;
the initial velocity of the baseball, u = 47 m/s
distance traveled by the ball, d = 1 m
mass of the baseball, m = 145 g = 0.145 kg
The free-body diagram of the ball during the pitch is in the image added.
The acceleration of the baseball over the given distance is calculated as;
v² = u² - 2as
when the ball stops, the final velocity, v = 0
0 = u² - 2as
2as = u²
a= u²/2s
a = 1140.5 m/s²
The force the pitcher exerts on the ball during this record-setting pitch is calculated as;
F = ma
F = 0.145 x 1,104.5
F = 160.15 N.
The weight of the pitcher is calculated as;
W = mg
W = 84 x 9.8
W = 823.2 N
The force exerted on the baseball as a fraction of the pitcher's weight is calculated as follows;
n = 160.15/823.2 = 0.195
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if the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.
True, if the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.
What does a closed surface's electric flux look like?
The charge encapsulated divided by the permittivity is equal to the total electric flux out of a closed surface. The electric field is multiplied by the surface area projected in a plane perpendicular to the field to get the electric flux across a region.
If there is a net outward flow, the electric flux through a closed surface is positive; if there is a net inward flow, it is negative. If there is a source inside the closed surface, we have a net outward flux, and if there is a sink inside the closed surface, we have a net inward flux. Zero field implies zero flux, but zero flux does not imply zero field.
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(4\%) Problem 3: A uniform electric field of magnitude 42 N/C is parallel to the x axis. A circular loop of radius 24 cm is centered at the origin with the normal to the loop pointing 55 ∘ above the x axis. - $50% Part (a) Calculate the electric flux in, newton squared meters per coulomb, through the loo Φ= N⋅m 2 /C Hints: deduction per hint. Hints remaining: 2 Feedback: deduction per feedback.
The electric flux through the loop is approximately 3.42 newton squared meters per coulomb (N·m^2/C).
The electric flux through a surface is given by the product of the electric field passing through the surface and the area of the surface,
Φ = EAcos(θ)
where Φ is the electric flux, E is the electric field, A is the area of the surface, and θ is the angle between the electric field and the normal to the surface.
In this problem, the electric field is parallel to the x-axis, so its angle with the normal to the circular loop is θ = 55°.
The area of the circular loop is A = πr^2, where r is the radius of the loop. Thus, the electric flux through the loop is:
Φ = EAcos(θ)
= (42 N/C)(π(0.24 m)^2)*cos(55°)
≈ 3.42 N·m^2/C
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--The complete question is, A uniform electric field of magnitude 42 N/C is parallel to the x axis. A circular loop of radius 24 cm is centered at the origin with the normal to the loop pointing 55 ∘ above the x axis.
(a) Calculate the electric flux in, newton squared meters per coulomb, through the loop.--
Some thermometers contain alcohol. Alcohol is used in thermometers because A. is soluble in waterB. is a clear gas when it evaporatesC. expands and contracts easilyD. has a high density
A rate law that is proportional to the concentration of reactants raised to a power, which corresponds to the reactant's stoichiometric coefficient, is often used to describe reactions that can occur in a single step.
What is the reaction's rate constant, 2N2O5 to 2N2O4 O2?rk = [N2O5] = 2.40 10 53.0 10 5 = 0.8 mol L 1. Calculate the concentration of N2O5 using the reaction's rate and rate constant, which are 2.40 mol L-1 second-1 and 3 mol L-5 second-1, respectively.
What happens when 2O3 and 3O2 react in what order?The following is how the chemical reaction 2O3 3O2 develops. The appropriate expression for the rate law is O3 O2 +O (FAST) O+O32O2 (SLOW).
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Is cc is the same as ml ?
Indeed, the cc and ml units of volume are equivalent.
Throughout the measuring process, a physical quantity is contrasted with a recognized standard quantity of some type.
For instance, when a measurement is represented as 10 kg, 10 denotes the measurement's magnitude and kg denotes the standard unit used to indicate the mass of the physical object.
Due to the fact that they both carry the same amount of substance, one ml and one cc, or one cubic centimetre, are equal, according to the established relations.
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what is the angular displacement formula?
Angular displacement is defined as “the angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis”.
Formula:
S = rθ
∴ S = arc length
r = distance
θ = angular displacement
What is the frequency of light when the energy for a mole of photons is 1.55 × 10^13 J? a)3.88 × 10^22 Hz b)1.03 × 10^20 Hz c)6.18 × 10^21 Hz d)2.58 x 10^23 Hz
One photon has an energy of E. Consequently, one mole of neutrons has an energy of EAW. The Avogadro equation is shown here as A.
What does the word "energy" mean?
The capacity to perform work is energy. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible. People utilize energy to move around on foot and by bicycle, in cars and boats on the sea, and to cook food in stoves.
Why is energy necessary, and what is it?
Energy is the capacity to carry out work. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to another and use it to accomplish tasks, making modern civilization possible.
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Helpppppppppppppppppp
Answer:
2,3,4,6
Explanation:
A student completes a PET experiment using chloroplasts from leaves lacking pigments that absorb in the 550 nm to 600 nm wavelength range. Which color of light should they avoid in their experiment if they want to measure activity at different wavelengths? Absorbance 360 760 460560660 Wavelength (nm) O Blue O Orange O Yellow O Red O Violet Light Absorption Spectrum of Spinach Extract
The student should avoid using yellow light if they want to measure activity at different wavelengths.
Yellow light should not be used since it lacks the pigment necessary to absorb wavelengths between 550 and 580 that will cause it to be completely ineffective.
Color Wavelength (nm)
Red 650 - 800
Orange 590 - 640
Yellow 550 - 580
Blue 460 - 480
Indigo 440 - 450
Violet 390 - 430
In physics, a periodic wave's wavelength is the length over which its form repeats. It is a characteristic of other spatial wave patterns as well as traveling and standing waves.
It is the separation between two consecutive positions on a wave that correspond to the same phase, such as two close-by crests, troughs, or zero crossings. The reciprocal of wavelength is the spatial frequency. Wavelength is usually denoted by the Greek letter lambda ().
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A 6 kg bowling ball is rolling with a velocity of 3 m/s. What is the kinetic energy of the bowling ball?.
27J is the kinetic energy of the bowling ball
Describe kinetic energy.
The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.
Kinetic energy, K.E : 1/2 mv^2
m : 6kg
v : 3m/s
K.E : 1/2 *6*3*3
K.E : 27J
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The force of gravity pulls down on a book sitting on a desk with 15 Newtons of force while the desk pushes back on the book with 15 Newtons of force. What is the net force and the resulting motion of the book?
The net force acting on the book is zero, since the force of gravity pulling down on the book is balanced by the force of the desk pushing up on the book. This means that the book is not experiencing any acceleration or motion, and is in a state of static equilibrium.
What is gravity?Gravity is a fundamental force of nature that exists between any two objects in the universe that have mass. It is the force that attracts all objects with mass towards one another. The strength of the gravitational force depends on the mass of the objects and the distance between them.
The net force acting on the book is zero, since the force of gravity pulling down on the book is balanced by the force of the desk pushing up on the book. This means that the book is not experiencing any acceleration or motion, and is in a state of static equilibrium.
In other words, the book remains stationary on the desk.
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Fill in the blank: Scientists worried that cloned animals would age rapidly because their cells contain ________ as old as the individual they were cloned from.
Scientists worried that cloned animals would age rapidly because their cells contain Clones as old as the individual they were cloned from.
What are Clones?Cloning is a method that scientists employ to make genetically identical copies of genes, cells, or even whole animals.
There are already some clones in nature. When single-celled organisms like bacteria reproduce, they create identical copies of themselves every time. Identical twins in humans are comparable to clones. They have nearly identical genes.
In the lab, scientists also create clones. Genes are frequently cloned for study and improved comprehension. Researchers take DNA from a living thing and place it into a carrier like bacteria or yeast to clone a gene.
Therefore, Scientists worried that cloned animals would age rapidly because their cells contain Clones as old as the individual they were cloned from.
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A satellite travels in a circle at 100m/s. Compare the satellites speed and velocity
In physics, velocity and speed are similar but separate ideas. Speed, which is a scalar quantity, describes the extent of motion or the rate at which an item shifts in space.
What is satellite?A satellite is a body that orbits a planet, star, or moon. For instance, the fact that Earth orbits the sun makes it a satellite.
In physics, velocity and speed are similar but separate ideas. Speed, which is a scalar variable, describes the amount of motion or the rate at which an item shifts in space.
The satellite's speed, which is a scalar measurement of the magnitude of motion, is 100 m/s when it is moving in a circle.
However, because the satellite is moving in a circular path and its velocity has both a magnitude and a direction, it is continually varying.
The satellite's velocity is always moving in the direction of the circle's center, and its magnitude is equal to its speed, or 100 m/s.
Thus, this the comparison of satellites speed and velocity.
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The lowest note on a grand piano has a frequency of 27.5 Hz. The entire string is 2.00 m long and has a mass of 440g . The vibrating section of the string is 1.90m long.What tension is needed to tune this string properly?
The tension needed to tune a grand piano string with a frequency of 27.5 Hz and a length of 1.90 m is 5,129 N.
The tension required to tune the string can be calculated using the following formula:
T = (mu * v^2) / L
Where T is the tension, mu is the string's linear mass density (mass per unit length), v is the wave's speed on the string, and L is the span of the string's vibrating portion.
To begin with, we must figure out the string's linear mass density:
mu = m/L = 0.440 kg/1.8 m = 0.2316 kg/m
The speed of the wave on the string needs to be calculated next. The equation: gives the speed of a wave on a string.
sqrt(T/u),
T represents tension, and u represents linear mass density. This equation can be changed to:
T = u
The tension required to tune the string can be calculated using the following formula:
T = (mu * v^2) / L
Where T is the tension, mu is the linear mass density of the string (mass per unit length), v is the speed of the wave on the string, and L is the length of the vibrating section of the string.
First, we need to calculate the linear mass density of the string:
mu = m / L = 0.440 kg / 1.90 m = 0.2316 kg/m
Next, we need to calculate the speed of the wave on the string. The speed of a wave on a string is given by the formula:
v = sqrt(T/u)
where T is the tension and u is the linear mass density. Rearranging this equation gives:
T = u * v^2
Substituting in the values we have:
v = f * lambda
where f is the frequency and lambda is the wavelength of the wave. The wavelength can be calculated from the length of the vibrating section of the string:
lambda = 2 * L = 3.80 m
Substituting in the values we have:
v = f * lambda = 27.5 Hz * 3.80 m = 104.5 m/s
Now we can calculate the tension:
T = u * v^2 / L = 0.2316 kg/m * (104.5 m/s)^2 / 1.90 m = 5,129 N
Therefore, the tension needed to tune this string properly is 5,129 N.
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what is the meaning of spectrum
The term "spectrum" refers to a range of different colors, frequencies, or wavelengths.
It is often used to describe the visible spectrum of light, which is made up of different colors that we can see, such as red, orange, yellow, green, blue, and violet. The spectrum can also refer to other types of electromagnetic radiation, such as radio waves, microwaves, infrared radiation, ultraviolet radiation, X-rays, and gamma rays.
In addition to its use in the field of physics, the term "spectrum" can also be used more generally to describe a range of different things or qualities. For example, one might talk about a spectrum of political beliefs, a spectrum of emotions, or a spectrum of musical styles.
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is water wet? or does it make things wet?
Water is not wet itself or it does not make things wet. The water makes bond with the other materials through adhesive forces.
What is Wetness?Wetness is a description of the experience of water, it is a quality of the liquid water. Liquid water is not itself wet, however it cannot even make things actually wet. Wetness is the ability of a liquid to adhere to the surface of a solid material, so when we say that something is wet, we mean that the liquid material is sticking to the surface of a material.
An adhesion is present between two things and something that the water molecules cannot do to itself. Water has to be wetted by something else or it makes no sense at all. Water can be wetted easily by oil or another foreign liquid, however it cannot wet itself.
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A simple model shows how drawing a bow across a violin string causes the string to vibrate. As the bow moves across the string, static friction between the bow and the string pulls the string along with the bow. At some point, the tension pulling the string back exceeds the maximum static friction force and the string snaps back. This process repeats cyclically, causing the string's vibration. Assume the tension in a 0. 33-m -long violin string is 70 N , and the coefficient of static friction between the bow and the string is μs = 0. 80. If the normal force of the bow on the string is 0. 75 N , how far can the string be pulled before it slips if the string is bowed at its center?
The normal force of the bow on the string is 0.75 N. The coefficient of static friction between the bow and the string is 0.80. The string can be pulled before it slips if the string is bowed at its center as far as 106.06 m.
The maximum static friction force that can be applied to the string before it slips is the product of the normal force and the coefficient of static friction:
Fmax = μs × N = 0.80 × 0.75 N = 0.60 N
The tension in the string is 70 N. The string is bowed at its center, so the tension force is evenly distributed on both sides of the bow. The tension force on one side of the bow is:
Ft = 70 N / 2 = 35 N
The string will slip when the tension force exceeds the maximum static friction force:
Ft > Fmax
35 N > 0.60 N
The string can be pulled a distance of x before it slips. The tension force is equal to the product of the string's length and the distance the string is pulled:
Ft = L × x
35 N = 0.33 m × x
x = 35 N / 0.33 m = 106.06 m
The string can be pulled 106.06 m before it slips.
Therefore, the answer is 106.06 m.
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Prescription glasses do not provide adequate eye protection because they:
Select one:
A. do not have shatterproof lenses.
B. have large rounded lenses.
C. offer little or no side protection.
D. are not secured with a strap.
Answer:
They do not have shatterproof lenses. Safety glasses are required to protect the eye from weather such as sandstorms and blizzards, or from hazards like sparks, and from impact especially, which is why the shatterproof lenses are needed. Prescription glasses, on the other...eye? Are made to mitigate or correct vision deformities such as near-sightedness or blurriness. These lenses are not made, nor required, to physically protect your eyes, but instead provide clarity of vision.
Prescription glasses do not provide adequate eye protection because they do not have shatterproof lenses. So, option A.
Safety glasses provide a different function than the prescription glasses.
Safety glasses must adhere to greater standards than conventional prescription eyeglasses in terms of impact resistance in order to be considered. The vast majority of prescription eyeglasses won't match up to this requirement.
Correcting eyesight is the main function of prescription glasses. Although they don't correct eyesight, safety glasses protect the eyes.
Regular prescription glasses cannot be used as eye protection in laboratories since they do not offer sufficient protection against potential dangers.
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How many watts of power does Jim's car use if it does 1675 joules of work in carrying a boat for 8.9 seconds?
Answer:
8.6
Explanation:
HELPPPPPPP
8. Explain the process of making ice cream in terms of heat energy transfer. Be sure to explain why the liquid milk
mixture changed into solid form AND why the ice in the bag started changing to a liquid. (Where was the heat originally
and where did it go? How do you know-what data do you have that proves the thermal energy was transferred?)
Making ice cream is a great way to explore thermal energy transfer. The liquid milk mixture changed to a solid during
the process because thermal energy transferred from the liquid milk to
The ice changed to a
liquid during the process because thermal energy transferred from the
to the ice. Thermal energy
transfer is confirmed by the states of matter changes of the milk mixture and the ice. It is also confirmed by the change
in temperature of the items. The milk mixture had a
in temperature, which confirms thermal
in temperature, which confirms thermal energy being
energy loss. The ice had a(n).
gained.
Heat is transferred from the cream solution to the ice leading to the ice melting and colder.
What happens to heat energy when making ice cream?Heat energy goes from the regions with more heat energy to other regions with less heat energy. The milk mixture has more heat energy as compared to the salt and ice. Heat energy goes from the milk mixture to the ice and salt. The milk mixture releases heat energy, which resulted in cooling and freezing which eventually becomes the ice cream solid.
Ice absorbs energy to melt. Heat is transferred from the cream solution to the ice, making the ice melt and the cream colder. Eventually, as the ice absorbs more energy from the cream mixture it will start freezing.
So we can conclude that Heat is transferred from the cream solution to the ice making the ice melt and cold the cream.
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10 tips on how to study effectively 1. Get organised. 2. Don't skip class! 3. Take notes. 4. Talk to your teacher & ask questions. 5. Space out your studying. 6. Create a study plan - & stick to it. Images Videos en-gb drive dow
10 tips on how to study effectively: Get organised, Don't skip class, Take notes, Talk to your teacher & ask questions, Space out your studying, Create a study plan & stick to it, Images and Videos, Test yourself, Find examples and follow a plan.
Why should we not miss a study session?We must attend all or most of our study sessions because it is one of the best ways to improve our ability to do better in exams. Whenever we miss a class, we might risk missing important work and the assignments.
The classes, notes or assignments can be very helpful in studying and preparing for our class test and exams.
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whats the scientific method in order
Answer:
See explanation
Explanation:
Observe, question, research, hypothesize, experiment, review hypothesis, report results.
If a ball is tossed straight up into the air, at what position is its potential energy the greatest? question 6 options: when it begins to fall back to your hand when it approaches the top of its flight when it reaches the top of its flight when it first leaves your hand.
If a ball is tossed up into the air, then its potential energy is greatest when it reaches the top of its flight. So the correct option is Option B.
Potential energy is defined as energy by virtue of its motion. The potential energy of any object at a given time is determined by the relative position of that object at that specific time interval. The ball was tossed straight up from the air. When it just leaves the hand, it has some velocity. So the ball at that specific time interval has maximum kinetic energy and zero potential energy. Then as the ball moves up, its velocity goes on decreasing. So according to the law of conservation of energy, the kinetic energy stored in the ball gets converted into potential energy. Now when the ball has reached its maximum height in its trajectory, now the velocity of the ball at the greatest height becomes zero. So now the ball has zero kinetic energy and maximum potential energy.
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Line a is parallel to line b. If the
measure of 27 is 114°, what is the
measure of 41?
21
34
65
114°= 78
a
b
The measure of angle 3 is given as 114 degrees
What is an angleAn angle is a geometric figure formed by two rays or lines that share a common endpoint called the vertex. The rays or lines that form the angle are referred to as the arms or sides of the angle. Angles are typically measured in degrees (°) or radians, and the measure of an angle indicates the amount of rotation between the two arms or sides, starting from one arm and rotating around the vertex to reach the other arm.
Line a and line b are parallel.
< 7 = 114°
The value of 3 measured as
= < 7
Having similar angles, = 114°
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What does work mean in physics?
In physics, work is defined as the energy transferred to or from an object by a force acting on the object over a certain distance. It is typically measured in units of joules (J) or foot-pounds (ft-lbs).
More formally, work is defined as:
W = Fd cosθ
Energy is the ability to do work, and it can come in various forms such as thermal, electrical, kinetic, potential, chemical, and nuclear energy. Energy is a fundamental concept in physics that plays a crucial role in everyday life. For example, we need energy to light up our homes, power our cars, and run our electronic devices.
Energy is also responsible for the movement of objects, the flow of fluids, and the transfer of heat. This means that the total amount of energy in a closed system remains constant, and any change in the system's energy must come from a transfer of energy from one form to another.
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An element crystallizes in a face-centered cubic lattice and has a density of 1. 456 g/cubic. The edge of its unit cell is 4. 52 x 10-8 cm. What is the mass of a unit cell ?.
The mass of a unit cell is 6.65 x 10⁻²³ g.
What is mass?
Mass is a measure of the amount of matter in an object. It is a scalar quantity, meaning it has only magnitude and no direction. Mass is often used interchangeably with weight, although they are different concepts. While mass is a measure of the amount of matter in an object, weight is the force exerted on an object due to gravity.
The mass of a unit cell can be calculated using the formula:
mass = density x volume
The volume of a face-centered cubic (FCC) unit cell can be calculated as follows:
volume = (edge length)^3
Substituting the given values, we get:
volume = (4.52 x 10⁻⁸ cm)³ = (4.52 x 10⁻⁸)³ cm³ = (4.52 x 10⁻²⁴) cm³
And the mass of a unit cell is:
mass = density x volume = 1.456 g/cm³ x 4.52 x 10⁻²⁴ cm³ = 6.65 x 10⁻²³g
So the mass of a unit cell is 6.65 x 10⁻²³ g.
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a block of wood is floating with one half of its volume out of the water. then it is pushed down so that it is completely underneath the water. use your understanding of buoyant force and archimedes’ principle to determine what happens to the forces on the block of wood.A. The buoyant force on the block is the same in the two cases because the weight per unit volume of the wood has not changed.
B. The buoyant force on the block is the same in the two cases because the weight per unit volume of the water is the same in each case.
C. The buoyant force on the block is greater when the block is completely submerged than it is when the block is floating.
D. The buoyant force on the block is greater when it is floating than when it is totally submerged.
E. The buoyant force on the block is the same in the two cases because the block loses weight as it is submerged.
The force that occurs in a wooden block is the buoyant force on the block is greater when the block is completely submerged than it is when the block is floating.
So Archimedes' Law explains that there is a relationship between weight and upward force on a force if it is put in water. As a result of the upward lift (buoyancy), of course, objects that are in the liquid will experience a weight reduction. As a result, objects lifted in water will feel lighter than when lifted on land.
When submerged, the weight of the object in the liquid is greater than the upward force exerted by the liquid.
So, the compressive force of water < the weight of the object, and the correct answer is C.
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Throughout the letter, king juxtaposes opposites to highlight tension between what is and what should be. Focusing on two examples, what points does he raise?.
The storyteller's discourse on Ignatius' appearance contrasts with his record of inward contemplations, highlighting the irregularity between his judgmental demeanor, sketchy garments, and prepping.
What is Ignatius?Except for what can be deduced internally from Ignatius' letters, nothing is known about his life outside of later (and occasionally false) traditions.Ignatius allegedly became a Christian at a young age. Ignatius and his associate Polycarp are recognised by tradition as being followers of John the Apostle.Ignatius was appointed Bishop of Antioch later in his life; according to the fourth-century Church historian Eusebius, Ignatius replaced Evodius.To know more about Ignatius, click the link given below:
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The complete question is: What points does King raise by juxtaposing opposites to highlight tension between what is and what should be?
If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?.
If the amplitude of the motion of a simple harmonic oscillator is doubled, the maximum speed of the oscillator increases by a factor of 2.
Here, we have a simple harmonic oscillator with an amplitude of let us say A. We know that the formula for speed of a Simple harmonic oscillator at any given point is :
V = ω[tex]\sqrt{A^{2}-x^{2} }[/tex]
where, V = velocity , A is the amplitude , ω is the angular frequency of the motion and x is the position(displacement) of the oscillator.
We know that the maximum speed of the oscillator is at the mean or equilibrium point where x = 0.
∴ Maximum velocity ⇒ ω[tex]\sqrt{A^{2} }[/tex]
⇒ Maximum Velocity = ωA
Now, doubling up the amplitude,
Maximum velocity when amplitude is doubled ⇒ ω[tex]\sqrt{(2A)^{2} }[/tex]
⇒ω[tex]\sqrt{4A^{2} }[/tex]
⇒2ωA
Now, dividing both the velocities ⇒(Maximum velocity when amplitude is doubled) / (First maximum velocity)
⇒ 2ωA / ωA
⇒ 2
Therefore, Maximum velocity of the oscillator will increase by a factor of 2 when we double up the amplitude.
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To answer this question, access the interactive simulation "Planetary Orbits Simulator".
Click the "reset" button near the top of the control panel, set parameters for Mercury, and then click on the "Kepler's 3rd Law" tab at the bottom of the control panel. Select "show solar system orbits" in the Visualization Options panel. Study the graph in the Kepler's 3rd Law tab. Use the eccentricity slider to change the eccentricity of the simulated planet. First, make the eccentricity smaller and then larger.
What does the change in the period with respect to the eccentricity tell you about the dependence on the period on the eccentricity?
A. The period depends inversely on the eccentricity.
B. The period depends directly on the eccentricity.
C. The period does not depend on the eccentricity.
D. The graph does not indicate anything about the dependence.
The eccentricity tell you about the dependence on the period on the eccentricity ; The period depends directly on the eccentricity.
What is the eccentricity ?Eccentricity is a measure of how much an ellipse deviates from a perfect circle. It is defined as the ratio of the distance between the two foci of an ellipse to the length of its major axis. The eccentricity of a circle is zero, while any other ellipse has an eccentricity greater than zero but less than one. Eccentricity is used to quantify how elongated an ellipse is, with higher eccentricity indicating a more elongated shape. Eccentricity can also be used to describe the orbits of planets and other celestial bodies, with higher eccentricity indicating a more elongated orbit.
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