An optics manufacturer commissions you to create a highly accurate mirror alignment system. Mirror displacements must have a resolution of a few nanometers, and these
What is placement dis?
An volume or mass of a liquid (such as water) that is displaced by a lifting surface (such as a vessel) of equivalent weight is referred to as displacement: the distinction between an object's initial position and any subsequent positions additionally: the total volume that all of an internal combustion engine's pistons displace in this manner
Displacement activity: what is it?
furthermore, automobiles: Internal combustion engines' required amount so displaced by all of their pistons is referred to as displacement activity or displacement behavior. Numerous people have been displaced as a result of the war. shifts in the Earth's mantle soil shifting brought on by farming
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which of the following sets of vectors best describes the velocity, acceleration, and net force acting on the cylinder at the point indicated in the diagram? (figure 2)
Draw vector strokes (straight lines without arrowheads) in the diagram to the right that show what an object travelling in a counter clockwise circle looks like when it is doing the following.
How do you refer to a straight line?To indicate that a line has no "wobbles" anywhere along its length, it is sometimes called a long line or, more quaintly, a right line (Casey 1893). Even though lines are fundamentally one-dimensional shapes, they can still be found incorporated into higher dimensional areas.
The following equation is used to determine the acceleration in each scenario: a = v2/R. A = (3.70)2/(1.30) = 10.53 m/s2 is the speed at the top of the loop. A = (7.10)2/(1.30) = 38.78 m/s2 is the speed of the loop's bottom. Always use Fnet = m•a to calculate the net force. Fnet equals 1 kg times 10.53 m/s2 or 12.6 N just at bottom of the loop. Fnet equals 1.20 kg multiplied by 38.78 m/s2 to equal 46.5 N just at bottom of the loop. The formula mg, where g is equal to 9.8 m/s2, is always used to calculate the force of gravity.
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suppose that you drive the 17.1 km from your university to home in 17.0 min. your average speed in km/h is
The average speed required to cover 17.1 km distance is found to be 60.42 Km/hr.
Why is average speed used as a term?Measuring average speed involves dividing the whole distance covered by the total time it took to cover that distance. Speed refers to the speed of moving of something at a specific time. Average speed describes the average speed during the course of a journey.
The distance traveled = 17.1 Km
The time taken to cover the distance = 17min =>0.283hr
The average speed need to cover this distance =>
=> V = d/t = 17.1/0.283 => 60.42 Km/hr
How do you calculate distance?
The metre is the SI unit for distance (m). Long distances can be measured in kilometres, while little distances can be measured in millimetres (cm) (km).
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what did you notice about the total momentum before the collision and the total momentum after the collision in each of the above cases
There is a difference in total momentum before collision (3.212) and total momentum after collision (32.007).
The total momentum before and after a collision is conserved in an isolated system, meaning that the total momentum of the objects before the collision is equal to the total momentum of the objects after the collision. This is known as the law of conservation of momentum.
The law of conservation of momentum is a fundamental concept in physics that states that the total momentum of a closed system remains constant, unless acted upon by an external force. This law states that the momentum of an isolated system remains constant, regardless of any internal or external forces. The law of conservation of momentum is a consequence of the law of energy conservation and is a fundamental principle in mechanics, and it applies to both linear and rotational motion.
The law of conservation of momentum can be applied to a wide range of physical systems, including collisions between objects, explosions, and the motion of objects in space. In the case of a collision between two objects, the total momentum of the objects before the collision is equal to the total momentum of the objects after the collision, provided there is no external force acting on the system. This law is used to predict the velocity and direction of objects after a collision, as well as the amount of energy transferred during the collision.
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Complete Question: -
What did you notice about the total momentum before the collision and the total momentum after the collision in each of the above cases?
The principle you should have noted in the previous question is called conservation of momentum. What do you think it means to say something is conserved in the context of physics?
find the young's modulus for the muscle tissue, assuming it to be a uniform cylinder of length 0.21 m and cross-sectional area 43 cm2 .
The Young's modulus for the muscle tissue, assuming it to be a uniform cylinder of length 0.24 m and cross-sectional area 48 cm2. We get 5.68*10^4 Pa.
Elongation e = 2.2 cm = 0.022 m
Length l = 0.24 m
Strain = e/l = 0.0916
Force F = 25 N
Area A = 48*10^-4 m^2
Stress = F/A =5208.33 Pa
Youngs modulus Y = Stress/Strain = 5208.33/0.0916 = 5.68*10^4 Pa
In physics, a pressure is an influence which can alternate the movement of an item. A force can cause an item with mass to trade its pace (e.g. transferring from a nation of rest), i.e., to boost up. force also can be defined intuitively as a push or a pull. A force has both magnitude and course, making it a vector amount. it is measured within the SI unit of newton (N). pressure is represented by way of the image F (formerly P).
The authentic shape of Newton's 2d regulation states that the internet pressure performing upon an object is same to the price at which its momentum changes with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is without delay proportional to the net pressure acting on the item, is within the path of the net force, and is inversely proportional to the mass of the item.
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Complete Question: -
To stretch a relaxed biceps muscle 2.2 cm requires a force of 25 N. Find the Young's modulus for the muscle tissue, assuming it to be a uniform cylinder of length 0.24 m and cross-sectional area 48 cm2.
__________ is very small drops of water similar to mist, and it is very light causing it to fall slowly.
Drizzle is very small drops of water similar to mist, and it is very light causing it to fall slowly.
What is gravity?Gravity is the force that pulls items toward the center of a planet or other entity. The gravitational pull keeps all of the planets in orbit around the sun. Gravity always causes things to accelerate at a rate of 9.8 m/s2 as it pushes them toward the earth. Unless air resistance affects one item more than another, all things accelerate at the same rate owing to gravity, regardless of mass differences. Gravity, often known as gravitation, is a force that exists between all physical things in the universe. The force of gravity seeks to draw any two objects or particles with nonzero mass toward one other. Gravity affects things of all sizes, from subatomic particles to galaxy clusters.
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when an object is intended to be deployed deep into the ocean's depths, which of the following materials constants would you use to help determine the amount of elastic compression it will experience?
When an object is intended to be deployed deep into the ocean's depths, the material constants that must be taken into consideration include its Young's modulus, Poisson's ratio, and bulk modulus.
Young's modulus measures the elasticity of the material, while Poisson's ratio measures its compressibility, and the bulk modulus measures the resistance of a material to compression.
These material constants can be used to calculate the amount of elastic compression an object will experience when deployed deep into the ocean.
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The above figure shows the kinetic energy K of a simple harmonic oscillator versus its position x. The vertical axis scale is set by ks​ =4.0J. What is the spring constant?
The spring constant is 8.3 x 10^2N/m obtained from the figure which shows that the kinetic energy KE of a simple harmonic oscillator versus its position x.
Since mechanical energy is conserved, we may deduce from the graph that the system's total energy is 6.0J. We should also observe that the amplitude appears to be x = 12 cm = 0.12 m.
We can therefore set the maximum potential energy at 6.0 J.
We know that Kinetic Energy(KE) = 1/2kx^2 where k is the spring constant = 6J
So, 6 = 1/2 * k * 0.12 * 0.12
k = 12/0.0144 = 8.33 * 10^2N/m
Hence the required spring constant is 8.33 * 10^2N/m
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If the kinetic energy of the block is increasing, the blockmustbe Consider the block in the process of oscillating.
at the equilibrium position.
at the amplitude displacement.
moving to the right.
moving to the left.
moving away from equilibrium.
moving toward equilibrium.
if the kinetic energy of the block is increasing, ( considering the block in the process of oscillating ) the block must be moving toward equilibrium.
option D.
What is kinetic energy?
The kinetic energy of an object is the energy possessed by the object due to its motion.
The kinetic energy of a block under going a simple harmonic motion increases with increase in the speed of the block. The speed of the block increases as the block moves towards the equilibrium position.
Thus, if the kinetic energy of the block is increasing, ( considering the block in the process of oscillating ) the block must be moving toward equilibrium.
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the specific heat capacity of material x is c1 and that of material y is c2 such that which of these substances requires more input energy for a temp change g
A substance's specific heat is the amount of calories required to raise the temperature of one gram by one degree Celsius. In order to adjust the temperature, material with a high caloric content needs higher energy input.
What is the equation for the highest temperature?To determine the maximum case temperature, multiply the device's heat output by the junction-to-case thermal resistance to obtain the temperature rise from the junction to the case. To determine the maximum case temperature, first deduct this temperature rise from the maximum junction temperature.
How much heat is needed to raise a gram of water's temperature by one degree?A 1°C increase in temperature for 1g of water requires 4.18 Joules of heat energy, according to quantitative experiments. As a result, a liter (1000g) of water that went from 24 to 25°C absorbed 4.18 J/g°C times 1000g times 1°C.
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Now we can think about what other factors influence diffusion since we know how displacement varies with time, specifically ((Ax)2) = 2Dt, where D, the proportionality constant, is called the diffusion coefficient. (The factor of 2 in the equation is included since, in one dimension, a particle can move in one of two directions -- left or right.) So we will now explore what determines the diffusion coefficient (using a very loose argument!). Particles (atoms or molecules) in a system have, on average, a value of kinetic energy (or thermal energy) of around a kBT, where kB is the Boltzmann constant (a fundamental constant of nature, which simply equals the ideal gas constant divided by Avogadro's number) and T is the temperature of the system. As particles collide with other particles, they can gain or lose energy. Using, again, an imprecise argument, kinetic energy losses result from the viscous drag forces acting on a particle moving through a background fluid. This viscous drag force is given by Stoke's equation, which you have likely studied earlier; Fdrag = 67 Rnu where R is the radius or size of the particle, n is the viscosity of the background fluid through which the particle is moving, and v is the speed of the particle, which we can write as displacement over time (v = The work, amount of mechanical energy removed by this particle, due to this drag force over a distance of A.x, is given by W = - Faraq Ax = -67 RNAx = -6Rn (47), the result being negative since the drag force is opposite the displacement of the particle (mechanical energy is being dissipated). The energy removed over this average displacement is about equal to the thermal energy, kBT. Finally, averaging over many particles and knowing how the displacement is related to time during diffusion, again, ((Ac)²) = 2Dt, we find a relationship for the diffusion coefficient: 67 RnD = kbT or D= This is called the Stokes-Einstein equation, since Einstein was the first to find this when explaining Brownian motion. Considering this result, which of these statements is NOT true? Bigger objects diffuse slower than smaller objects through a fluid. o The diffusion coefficient of a particle moving through a fluid only depends on the properties of that fluid. O Particles diffuse more quickly through water than through corn syrup. o Particle diffusion is faster at higher temperatures.
RnD ≈ kbT or D, 67 For diffusion issues where the conductivity value is constant, one or more of them can be used, including the solution of heat conduction.
What is the association between the root mean town center distance and the diffusion coefficient? Where has a particle been?The relative permeability in gases rises proportionally to T1/2 as that the root median square velocity rises. According to Equation 2.10, if the viscosity is constant, the diffusion coefficient rises proportionally to T because the energy of a fluctuations increases.
Describe 2D diffusion ?We can discuss the statistical motions of randomly medium vibrate in multiple directions using the 2D diffusion equation. When we say that a movement is random, we understand that we There is no predictive or predictive control over the particle's precise velocity from one time to the next, or, to put it another way.
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an air-track glider attached to a spring oscillates between the 9.00 cm mark and the 63.0 cm mark on the track. the glider completes 10.0 oscillations in 41.0 s.
The frequency, amplitude, and maximum speed are all 0.303 Hz, 0.25 m, and 3.3 s, respectively.
What is the oscillation formula?A basic harmonic oscillator's angular frequency, period T, and frequency f are given by =km, T = 2mk, and f = 12km, where m is the system's mass and k is the force constant.
Time Period T = Time taken for one oscillation
T = 41.0s / 10 = 4.1 seconds
Therefore, Time period is 4.1 seconds
we know that frequency is the inverse of time period so;
Frequency f = 1/T = 1 / 41.0 s
Frequency f = 0.02439 Hz
Therefore, The frequency is 0.02439 Hz
amplitude A = 1/2 ( 63.0 cm - 9.00 cm )
A = 1/2 × 54 cm
A = 27 cm
Therefore, amplitude is 0.27 m
maximum speed V(max) = ωA and ω = 2π/T,
maximum speed V(max) = (2π/T)A
maximum speed V(max) = (2π/41.0) × 0.27 m
so maximum speed V(max) = 0.04137 m/s
Therefore, maximum speed is 0.04137 m/s
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Question:
An air-track glider attached to a spring oscillates between the 10 cm mark and the 60 cm mark on the track. The glider completes 10 oscillations in 33 s. What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider
which of the following is not a reasonable idea to attribute to plato as part of the meaning of the allegory of the cave?
The idea of physical determinism is not a reasonable idea to attribute to Plato as part of the meaning of the Allegory of the Cave.
The Allegory of the Cave is a philosophical allegory in which Plato explores the nature of reality and knowledge. He uses the image of people living in a cave and perceiving only shadows to represent the limited and deceptive nature of our perceptions. In this allegory, the journey from the cave to the world of light and truth symbolizes the journey from ignorance to knowledge. Physical determinism, on the other hand, is the idea that all physical events, including human actions, are determined by prior causes and have no freedom of will. This concept is not directly related to the Allegory of the Cave and is not a central part of Plato's philosophy.
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from the same height you simultaneously drop a lightweight tennis ball and a heavyweight bowling ball. when they hit the floor they have the same
The kinetic energy of the projectile that is shot is higher than the kinetic energy of the cannon that is recoiling.
In our situation, the bowling pin exerts an equivalent force in the opposite direction on the bowling ball when the bowling ball applies a force to it.
Do heavier things pick up more speed?While lighter things have less momentum, massive ones have more momentum for a given speed. Because of this, stopping a loaded vehicle requires more force than stopping an empty one. Likewise, items that move quicker have greater momentum than those that move slower.
According to Newton's third law, every force applied to an item will result in an equal and opposite force being applied to the object applying the force.
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which statements are true about electric field lines? check all that apply. which statements are true about electric field lines?check all that apply. they are continuous. they form closed loops.
Electric field lines are continuous and can form closed loops. They point away from positive charges and towards negative charges, and can never cross.
Additionally, electric field lines can be mapped by the motion of charged particles.
An electric field is a vector field that represents the force exerted on a particle due to an electric charge. It is an invisible field of force that exists between two charged particles, and it can be used to calculate the force between those particles.
The electric field is a measure of the intensity of the electric force, and it is usually represented by electric field lines. These lines point away from positive charges and towards negative charges, and can never cross. The electric field is a force field generated by electric charges, and it is also responsible for creating electric potential energy.
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determine the magnitude of its acceleration when it is at point a . express your answer to three significant figures and include the appropriate units.
v=67.5 m/s is the value magnitude of the acceleration when expressed in terms of three significant figures as well as the relevant units.
What is the magnitude?In terms of physics, magnitude is just "distance or quantity." It displays an object's size, direction, or motion in absolute or comparative terms. It is employed to indicate the size or scope of something. In physics, the term "magnitude" often refers to the a size or amount.
A magnitude example is what?A thing's magnitude is its size. For instance, a bike moves more fast than a car when it comes to speed. In this instance, the car or the bike go at varying speeds. It displays the size or direction of an object's motion, whether it be absolute or relative.
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which of these are the fiber-optic connectors? each correct answer represents a complete solution. choose all that apply
There are several drawbacks to fiber-optic connectors. Due to severe restrictions on how much it can bend and the need for specialized training for employees working on the wire, its installation is expensive.
The three most widely used styles for networking and audio/video in the USA are LC, SC, and ST. LC and SC are typically the most popular styles. ST connectors are used less frequently these days. SC, ST, or MIC connectors are the most popular types of connectors for Fiber Optic networking. Networks using Token Ring use IDC/UDC. In Ethernet networking, connectors like RJ-45 and BNC are frequently used. The most widely utilised connectors in use today are ST, SC, FC, MT-RJ, & LC connectors, while less popular possibilities include Plastic FOC, Opti-Jack, LX-5, Volition, MU, and E2000.
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Consider a system of three noninteracting identical bosons that move in a common external one-dimensional harmonic oscillator potential. Find the energy levels and wave functions of the ground state, the first excited state, and the second excited state of the system.
The energy levels for the ground state, first excited state, and second excited state are E_0 = (3/2)h_bar omega, E_1 = (5/2)h_bar omega, and E_2 = (7/2)h_bar omega, respectively.
What is energy levels?In physics, an energy level is any discrete number from a range of total energy values for a subatomic particle confined by a force to a restricted region or for a system of such particles, such as an atom or a nucleus.
Here,
The energy levels of a one-dimensional harmonic oscillator are given by
E_n = (n + 1/2)h_bar omega,
where n is the quantum number, omega is the angular frequency of the oscillator, and h_bar is the reduced Planck constant.
For a system of three noninteracting identical bosons, the wave function must be symmetric with respect to particle exchange, so the total wave function is given by the product of three single-particle wave functions, each with quantum number n. The wave function for the ground state (n = 0) is given by
psi_0(x_1, x_2, x_3) = (1/sqrt(6)) (phi_0(x_1) phi_0(x_2) phi_0(x_3)),
where phi_0(x) is the wave function for the ground state of a single harmonic oscillator.
For the first excited state (n = 1), the wave function is given by
psi_1(x_1, x_2, x_3) = (1/sqrt(6)) (phi_1(x_1) phi_0(x_2) phi_0(x_3) + phi_0(x_1) phi_1(x_2) phi_0(x_3) + phi_0(x_1) phi_0(x_2) phi_1(x_3)).
For the second excited state (n = 2), the wave function is given by
psi_2(x_1, x_2, x_3) = (1/sqrt(6)) (phi_2(x_1) phi_0(x_2) phi_0(x_3) + phi_0(x_1) phi_2(x_2) phi_0(x_3) + phi_0(x_1) phi_0(x_2) phi_2(x_3) + 2 phi_1(x_1) phi_1(x_2) phi_0(x_3) + 2 phi_1(x_1) phi_0(x_2) phi_1(x_3) + 2 phi_0(x_1) phi_1(x_2) phi_1(x_3)).
The ground state, first excited state, and second excited state energy levels are E_0 = (3/2)h_bar omega, E_1 = (5/2)h_bar omega, and E_2 = (7/2)h_bar omega, respectively.
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calculate the ratio of the distance from saturn to the earth to the distance from earth to the sun. use scientific notation to calculate the ratio and express your answer in standard notation. (round to the hundredths place)
The ratio of the distance from Saturn to the Earth to the distance from the Earth to the Sun is approximately 9.49, indicating that the average distance from Saturn to the Earth is about 9.49 times greater than the average distance from the Earth to the Sun.
To calculate the ratio of the distance from Saturn to the Earth to the distance from the Earth to the Sun, we first need to find the average distances between each of these celestial bodies. The average distance from the Earth to the Sun is approximately 93 million miles (149.6 million kilometers), while the average distance from Saturn to the Earth is about 886 million miles (1.4 billion kilometers).
The ratio of these distances can be expressed as:
(distance from Saturn to Earth) / (distance from Earth to Sun) = (886 million miles) / (93 million miles) = 9.49
This ratio can also be expressed in scientific notation as [tex]9.49 * 10^0[/tex]. To express the ratio in standard notation, the ratio can be rounded to 9.49 (rounded to the hundredths place).
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If a heat engine is operating between two temperatures (QH>QC), what is the maximum efficiency attainable?
When a heat engine is operating between two temperatures (QH>QC), the maximum efficiency attainable is Carnot efficiency .
What is Carnot Efficiency?
Carnot efficiency is the maximum theoretical efficiency of a heat engine, defined as the ratio of the work done by the engine to the heat absorbed from a high temperature source, as described by the Carnot cycle.
It is considered as the most efficient possible cycle for converting heat into useful work, and serves as an upper bound for the efficiency of all heat engines.
The Carnot efficiency is expressed as a function of the temperature difference between the hot and cold sources, and is independent of the working fluid or materials used in the engine.
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when a force of 400m is applied on a body at an angle to the horizontal direction of displacements the body covers a distance of 8m calculate the work done
The work done to the horizontal direction of displacements the body is 3200 joule.
What is work done?A force must be applied and there must be movement in the force's direction for a work to be completed scientifically.
With that said, we may state that Work is the product of the force's component acting in the displacement's direction and its magnitude.
Applied force = 400 N
Displacement in the direction of force = 8 m
Hence, work done = 400 × Joule = 3200 joule.
Therefore, the work done to the horizontal direction of displacements the body is 3200 joule.
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true/false. shows a a geosynchronous satellite, which is a satellite that goes around the earth once every 24 hours. if a geosynchronous satellite is in an equatorial orbit, its position appears stationary with respect to a ground station, and it is known as a geostationary satellite.
Therefore the given statement is true.
A geosynchronous satellite orbits the Earth once every 24 hours, which is the same amount of time it takes the Earth to rotate on its axis.
When a geosynchronous satellite is placed in an equatorial orbit, it appears to be stationary with respect to a ground station and is known as a geostationary satellite.
This is because the satellite is always located above the same point on the Earth's surface, making it appear as though it is not moving.
Geostationary satellites are useful for a variety of applications, including telecommunications, weather forecasting, and military surveillance.
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a car of mass m, traveling at speed v, stops in time t when maximum breaking forces applied. assuming the same breaking force, what would be the time required to stop a car of mass 2m at speed v.
a car of mass m, traveling at speed v, stops in time t when maximum breaking forces applied. assuming the same breaking force, 2t would be the time required to stop a car of mass 2m at speed v.
v=f/mt
t=mv/f
m=2m
t=2t
Motion in a Straight Line: What Is It?An object is said to be in motion if its location in relation to its surroundings varies over time. It is a shift in an object's location over time. Linear motion is the only type of motion that exists. It employs just one dimension since, as its name implies, it is in a specific straight line.
In contrast to uniform acceleration, a body is said to be moving non-uniformly when its rate of change differs at various times throughout its motion and its velocity varies by uneven amounts across equal time periods.
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how do I solve this?
The value of vector B is determined as - 6.8i and the magnitude is -6.8.
What is the value of vector B?The value of vector B is calculated by applying the following formula as shown below.
R = C + B
where;
R is the resultant vectorThe value of vector B is calculated by adding vector C and B as shown below.
7.4j = 6.8 i + 7.4j + B
7.4j - 7.4 j - 6.8i = B
0j - 6.8i = B
B = -6.8 i
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Select the option that places the objects in order from smallest to largest.
a) Planet, star, solar system, galaxy, galaxy cluster
b) Star, planet, galaxy, galaxy cluster, solar system
c) Planet, solar system, star, galaxy cluster, galaxy
d) Planet, star, galaxy, solar system, galaxy cluster
Answer:
The answer would be a. Hopefully this helped
of a system. now also recall the translational impulse-momentum theorem, where impulse is the process that changes the translational momentum of a system. similarly, angular impulse is the process that changes the angular momentum of a system. with this in mind, which of the following statements are true?
Impulse is the process that changes the translational momentum of a system is a true statement.
According to the impulse-momentum theorem, an object's applied impulse is equal to the change in its momentum. It demonstrates how an object's change in momentum is influenced by both the force's intensity and duration. Only the size of the force and the time interval may typically be changed when the change in momentum is constant. For instance, a significant force applied for a brief period of time can have an impact on an object's change in momentum. By lengthening the period at a weaker force, the same change in momentum can be achieved. Momentum can be found in every moving object. Because momentum is mass in motion, this is the case. Our method for calculating an object's momentum is fairly simple. The formula for momentum is p=mv, where p stands for momentum, m for mass in kilogrames, and v for velocity in meter per second. Momentum is the product of an object's mass and velocity. Both mass and velocity are proportional to momentum, thus a change in one will result in an equal change in the other. Therefore, if you add to the mass of an item, you likewise add to its momentum.
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I answered this question.
.... had a complicated relationship with European settlers.
Answer:
Explanation:
native americans
Answer:
Going to assume Native Americans
Explanation:
28.4 g of iron shot is added to a graduated cylinder containing 46.10 ml of water. the water level rises to the 49.20 ml mark, calculate the density of iron using these information.
The density of iron, divide the mass of iron (28.4 g) by the volume of water it displaced (49.20 - 46.10 ml = 3.10 ml). So, the density of iron is 28.4 g / 3.10 ml = 9.16 g/ml.
Density is a measure of the mass of a substance per unit of volume. It is typically expressed in grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). The density of a substance is determined by its composition and structure.
For example, water has a density of 1 g/cm³, while iron has a density of 7.86 g/cm³.
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the rod oa rotates clockwise with a constant angular velocity of 6 rad/s . two pin-connected slider blocks, located at b , move freely on oa and the curved rod whose shape is a limacon described by the equation r
The equation for a limacon described by a rod OA rotating clockwise with a constant angular velocity of 6 rad/s is r = 200(2 - cos 6) mm.
This equation describes the shape of the curved rod, and the two pin-connected slider blocks located at B move freely on OA along this curved rod.
To answer your question, I began by searching for the equation for a limacon described by a rod OA rotating clockwise with a constant angular velocity of 6 rad/s.
Finally, I provided an explanation of how this equation describes the shape of the curved rod and how the two pin-connected slider blocks located at B move freely on OA along this curved rod.
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the following statements describe ways in which the analogy might apply to the real universe. which statements are correct?
The following statements describe ways in which the analogy might apply to the real universe:
The average distance increases with time, both between raisins in the cake and between galaxies in the universe.An observer at any raisin sees more distant raisins moving away faster, just as an observer in any galaxy sees more distant galaxies moving away faster.An analogy is a comparison between two objects, events, or ideas that share certain characteristics. In the context of the real universe, an analogy can be used to compare the universe to something familiar, such as a balloon.
Just as a balloon expands when air is added to it, the universe is expanding, with the average distance between galaxies increasing over time. Similarly, just as a balloon needs energy to expand, the universe contains vast amounts of matter and energy, with much of it still undiscovered.
Finally, just as a balloon follows the same basic rules of geometry, the geometry of the universe follows ordinary Euclidean geometry, with the same basic rules of geometry applying to both the small and large scale.
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Complete question:
The following statements describe ways in which the analogy might apply to the real universe. Which statements are correct?
Check all that apply.
- The average distance increases with time both between raisins in the cake and between galaxies in the universe.
-An observer at any raisin sees more distant raisins moving away faster, just as an observer in any galaxy sees more distant galaxies moving away faster.
-The raisins stay roughly the same size as the cake expands, just as galaxies stay roughly the same size as the universe expands.
The integral with respect to time of a force applied to an object is a measure called impulse, and the impulse applied to an object during a time interval determines its change in momentum during the time interval. The safety of a t-shirt launcher, used to help get crowds cheering at baseball games, is being evaluated. As a first step in the evaluation, engineers consider the design momentum of the launched t-shirts. The springs in the launcher are designed to apply a variable force to a t-shirt over a time interval of tu=0.5 s. The force as a function of time is given by F(t) = at' + b, where a = -28 N/s' and b = 7.0 N. F (t) dt. By applying the given time The momentum of the t-shirt will be its initial momentum (po = 0) plus its change in momentum due to the applied impulse: pj=po+ S dependent function for F(t) and performing the integration, which of the following is the correct expression for p/? View Available Hint(s) P = 0+ )6 0+*+8 +b)16 0+(+3 + bt) 0+ +)
The impulse equation is given by pf = p0 + ∫tL₀F(t)dt. With the given information, the integral is ∫tL₀(-28t² + 7.0)dt.
What are the terms impulse equation and unit?It's common to define impulse as the average net force acting on an object during a predetermined period of time. J = Ft is the equation for an impulse. Please take note that we consider force to be constant. Like force, impulse is a vector quantity that also has a direction.
The integral of xⁿ is xⁿ⁺¹/(n+1).
the integral of -28t² + 7.0 is -28/3t³ + 7t.
evaluated from t=0 to t=0.5
pf = 0 + (-28/3(0.5)³ + 7(0.5)) = -2.167.
the correct expression for pf is pf = -2.167.
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