According to the question, Pollux is approximately 2 x 1014 kilometers, or 34 light years, away from the Earth.
What is the length of a light-year?
A light-year measures distance rather than time (as the name might imply). A light-year is the distance a light beam travels in one year on Earth, which is around 6 trillion miles (9.7 trillion kilometers).
Do light years have 365 days?
The distance that light travels in a year is called a light year (365 days). Because "year" is right there in the name, it is frequently used incorrectly as a measure of time. Light will always need one year to traverse one light year.
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When a driver applies the brakes to keep a car going down hill at constant speed and constant kinetic energy, the potential energy of the car decreases. Where does this energy go? Where does most of it appear in a hybrid vehicle?
The potential energy is utilized during work done against frictional force.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.
When a driver applies the brakes to keep a car going down hill at constant speed and constant kinetic energy, the potential energy of the car decreases. The potential energy is utilized during work done against frictional force and total energy remains constant.
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an oscillator consists of a block of mass 0.500 kg connected to a spring. when set into oscillation with amplitude 35.0 cm, the oscillator repeats its motion every 0.500 s. find the (a) period
The period must be T = 0.500 s because the motion repeats every 0.005 s.
What is oscillation in motion?The to-and-fro movement of the body in relation to its fixed position is referred to as oscillatory motion. Periodic motion includes oscillatory motion. Strings that are vibrating or even a pendulum that is swaying are examples of oscillatory motion.
Is vibration and oscillation the same thing?Oscillations & vibrations aren't the same thing since oscillations are defined as a solid body's specific amount of displacement in relation to its travel time or distance. While The movement or alteration that oscillations in the body generate is known as vibration.
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do you think that mechanical work had to be done to increase the separation of the plates? if so, how do you reconcile this with the fact that the energy stored decreased when you increased separation?
To separate the plates in a capacitor, they are charged with the opposite polarity. The stored charges on the capacitor drop as the plates separate as the capacitor's capacity to hold charges decreases.
What two kinds of mechanical job are there?Motion (kinetic energy) and stored mechanical energy are the two forms (potential energy). Our guide that describes potential and kinetic energy has further information. The amount of potential energy determines how mechanical conversion works.
Is manual labor always productive?The work is positive if an object is subjected to an applied force and moves in the same direction. If an object experiences force and then moves in the opposite direction,
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State the law of conservation of linear momentum and describe its consequences.
The law of conservation of linear momentum states that if no external forces act on the system of two colliding objects, then the vector sum of the linear momentum of each body remains constant and is not affected by their mutual interaction.
What is linear momentum?Linear momentum is defined as a vector quantity which is the product of the mass of an object and the velocity of the same object.
The law of momentum agrees that the the total momentum of a system remains constant.
In a linear momentum, the law of conservation states that if no external forces act on the system of two colliding objects, then the vector sum of the linear momentum of each body remains constant and is not affected by their mutual interaction.
The consequences of the this law of conservation is that If the net external force acting on a system of bodies is zero, then the momentum of the system remains constant.
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to start a car engine, the car battery moves 4.05e21 electrons through the starter motor. what is the absolute value of the amount of charged moved through the battery, in coulombs
The absolute value of this charge is 6.48e1 C.
What is electrons?Electrons are subatomic particles that carry a negative electrical charge. They are found outside the nucleus of an atom and are responsible for chemical reactions, electrical conductivity, and magnetism.
The charge of an object is measured in coulombs (C). An electron, the fundamental unit of charge in the electric current, has a charge of -1.6 x 10^-19 C.
To find the total charge moved through the battery in coulombs, we can multiply the number of electrons moved by the charge of one electron:
Q = n * e
where Q is the total charge, n is the number of electrons, and e is the charge of one electron.
In this case, the number of electrons moved through the starter motor is 4.05e21. Therefore:
Q = 4.05e21 electrons * -1.6 x 10^-19 C/electron
Q = -6.48e1 C
The absolute value of this charge is -6.48e1 = 6.48e1 C.
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A cat is stuck in the tree and the fire department needs a ladder to rescue the cat. The fire truck available has a 95-foot ladder, which starts 8 feet above ground. Unfortunately, the fire truck must park 75 feet away from the tree. If the cat is 60 feet up the tree, does the cat get rescued
The ladder is not long enough to reach the cat. The cat would not be rescued with the ladder available.
What does physics mean by displacement?The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. An arrow pointing from the starting point to the finishing point serves as its symbol.
What is referred to as displacement?When an atom or group of atoms in a molecule are replaced by another atom, this is referred to as a displacement reaction. For instance, copper metal is displaced when iron is added to a solution of copper sulphate.
To determine if the cat can be rescued using the 95-foot ladder, we need to calculate the reach of the ladder, which is the distance from the base of the ladder to the highest point it can reach.
The ladder starts 8 feet above ground, so the reach of the ladder is 95 feet (the length of the ladder) + 8 feet (the distance above ground) = 103 feet.
Now, we need to calculate the horizontal distance between the base of the ladder and the tree. This distance is the sum of the distance between the fire truck and the tree (75 feet) and the distance between the base of the ladder and the fire truck (8 feet).
So, the horizontal distance between the base of the ladder and the tree is 75 feet + 8 feet = 83 feet.
Now we have to check the reach of the ladder is greater than the horizontal distance between the base of the ladder and the cat and the height of the cat.
103 feet (reach of ladder) > 83 feet (horizontal distance) + 60 feet (height of cat)
103 > 143
which is not true.
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you encounter a 8.2 m long stretched string that is clamped at both ends. you launch a pulse from one end that returns in 0.57 s. what is the frequency of the 3rd normal mode in hz?
The frequency of the 3rd normal mode is 8.4 Hz.
What is frequency?The frequency of an event is the number of times it occurs each unit of time. It is often measured in hertz (Hz), which is the number of cycles per second.
The frequency of a normal mode in a stretched string is given by the equation:
f_n = (n*v)/2L, where f_n is the frequency of the nth normal mode, v is the wave velocity, L is the length of the string, and n is the mode number.
In this case, the length of the string is 8.2 m, the time it takes for the pulse to return is 0.57 s, the mode number is 3 and we are looking for the frequency of the 3rd normal mode.
We can first calculate the wave velocity, v, by dividing the length of the string by the time it takes for the pulse to return.
v = L/T
v = 8.2 / 0.57
v = 14.4 m/s
Now we can use this value of v to calculate the frequency of the 3rd normal mode:
f_n = (n*v)/2L
f_n = (314.4)/(28.2)
f_n = 8.4 Hz
So, the frequency of the 3rd normal mode is 8.4 Hz.
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what is the apparent weight of a 76 kg passenger at the highest point of the circle? express your answer in si units.
The apparent weight of the passenger is 744.8 N.
What is weight of an object?The force of gravity acting on an object is known as its weight, and it can be calculated using the formula w = mg, which equals the mass times the acceleration of gravity. The newton is the SI unit for weight because it is a force.
How to find the weight of the passenger?The apparent weight of a 76 kg passenger at the highest point of a circle is the force experienced by the passenger due to gravity and the centrifugal force acting on them.
At the highest point of the circle, the passenger is experiencing the greatest force due to the centrifugal force acting on them. This force acts away from the center of the circle and is equal to the product of the mass of the object and the square of the angular velocity of the circle (w²r) where w is the angular velocity and r is the radius of the circle.
As the apparent weight is equal to the force due to gravity minus the centrifugal force, at the highest point of the circle, the apparent weight of a 76 kg passenger would be equal to their true weight (76 kg) minus the centrifugal force acting on them.
So, to express this in SI units, the apparent weight would be in Newtons (N) and the weight of the passenger is 76 kg * 9.8 m/s^2 = 744.8 N.
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how fast must the rocky core of jupiter have developed after the sun formed in order to gravitationally attract its hydrogen and helium atmosphere before these gases were dissipated from the solar nebula by the solar wind?
It took 10 million years for the formation of rocky core of Jupiter developed after the sun formed in order to gravitationally attract its hydrogen and helium atmosphere.
How long does a rocky planet take to form?Gas giants like Jupiter grow on top of rocky cores after rocky planets with rocky surfaces like Earth do over the course of millions of years. New data, however, from NA SA's Spitzer Space Telescope points to the possibility that some gas giants could bud in less than a million years, more akin to planetary wildflowers than trees.
Why couldn't rocky planets develop in a distant solar system?As far as planetary formation is concerned, rocky planets have a tendency to form closer to the Sun because the silicates and heavier gases that make them up "fall" inwards towards the Sun.
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A 5-kg object is sliding to the right and encountering a friction force that slows it down. The coefficient of friction between the object and the surface is 0.1. Determine the force of gravity, the normal force, the force of friction, the net force, and the acceleration
Answer:
Explanation:
The friction force is 4.9 N
Explanation:
Friction Force
When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration or speed because the friction force opposes motion.
The friction force when an object moves on a horizontal surface is calculated by:
Where is the coefficient of static or kinetics friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
Thus, the friction force is:
The object has a mass of m=5 Kg, calculate the weight:
W = 5 * 9.8 = 49 N
It encounters a friction force that slows it down. We are given the coefficient of friction μ = 0.1, thus the friction force is:
Fr=0.1 49 N = 4.9 N
The friction force is 4.9 N
Since the only force acting on the object is the friction force, thus the net force is F = 4.9 N, and the acceleration can be calculated by using the equation of Newton's second law:
F = m.a
Solving for a:
The friction force is 4.9 N
Explanation:
Friction Force
When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration or speed because the friction force opposes motion.
The friction force when an object moves on a horizontal surface is calculated by:
Where is the coefficient of static or kinetics friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
Thus, the friction force is:
The object has a mass of m=5 Kg, calculate the weight:
W = 5 * 9.8 = 49 N
It encounters a friction force that slows it down. We are given the coefficient of friction μ = 0.1, thus the friction force is:
Fr=0.1 49 N = 4.9 N
The friction force is 4.9 N
TRUE OR FALSE As a projectile rises towards the peak of its trajectory, the vertical acceleration is directed upward; as it falls from the peak of its trajectory, its vertical acceleration is directed downward. Group of answer choices
As a projectile rises towards the peak of its trajectory, the vertical acceleration is directed upward; as it falls from the peak of its trajectory, its vertical acceleration is directed downward. The correct answer is TRUE.
As a projectile is launched into the air, it initially experiences an upward acceleration due to the force applied to it. This acceleration causes the projectile to move upwards, until it reaches the peak of its trajectory. At the peak, the projectile's velocity in the vertical direction is zero and the acceleration is directed downward due to the force of gravity.
As the projectile falls back towards the ground, it experiences a downward acceleration, causing its velocity in the vertical direction to become negative. This acceleration continues until the projectile lands on the ground.
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State the law of conservation of linear momentum and describe its consequences.
The law of conservation of linear momentum states that the total momentum of a system is always conserved and the consequence is that the system must be isolated.
What is the law of conservation of linear momentum?The law of conservation of linear momentum states that in an Isolated system, the total momentum of the system is always conserved.
Mathematically, the formula for the conservation of linear momentum is given as;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectu₁ is the initial speed of the first objectu₂ is the initial speed of the second objectv₁ is the final speed of the first object v₂ is the final speed of the second objectBased on the law of the conservation of linear momentum, the sum of the initial momentum of the system will be equal to the sum of the final momentum of the system provided the system is isolated.
Thus, the consequences of conservation of linear momentum is that the total momentum of the system will not be conserved if the system is not isolated.
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A point charge of magnitude q is at the center of a cube with sides of length L.Part A - What is the electric flux Φ through each of the six faces of the cube? Use ϵ0 for the permittivity of free space (not the EMF symbol E0).Part B - What would be the flux Φ1 through a face of the cube if its sides were of length L1? Use ϵ0 for the permittivity of free space.
The flux from the side of each face is [tex]\frac{q}{6a}[/tex] where a is the permittivity of free space.
The amount of the electric field flowing through a specific area is known as the electric flux. The quantity of field lines travelling through a specific area can be used to calculate the electric flux. The charge contained in a surface can be used to compute the electric flux through that surface.
For, a close gaussian surface,
electric flux is equal to charge divided by permittivity of free space.
Now, in the part A, consider that a length of the sides of cube is L and for each of the face the electric flux emerging out of the cube will be divided into six parts.
The number of field lines traveling across a given area is known as the electric flux. The flux moving through any one of the cube's faces is equal to the cube's overall flux divided by six.
so flux is [tex]\frac{q}{6a}[/tex] where a is permittivity of free space.
and for part B now the length is different but as we have seen that flux depends upon length it just depend upon charge and permittivity of free space which remains same even if the length get changes.
So, flux remains same.
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At what speed do a bicycle and its rider, with a combined mass of 100 kg , have the same momentum as a 1400 kg car traveling at 1.6 m/s
The speed at which a bicycle and its rider, with a combined mass of 100 kg, have the same momentum as a 1400 kg car traveling at 1.6 m/s is 50.4km/hr
The momentum of a bicycle and its rider, with a combined mass of 100 kg, is equal to the momentum of a 1400 kg car traveling at 1.6 m/s.
Momentum is calculated by multiplying the mass of an object by its velocity.
Therefore, the bicycle and rider would need to be traveling at a velocity of 14 m/s
1.6 m/s × 100 kg/1400 kg=14m/s
To have the same momentum as the car. In terms of speed, 14 m/s is equal to 50.4 km/h.
Therefore, the bicycle and rider would need to be traveling at 50.4 km/h to have the same momentum as the car.
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Which of the following changes would decrease the coefficient of friction needed for this rice? a. increasing the rider's mass b. increasing the radius of the rice c. increasing the speed of the ride d. increasing the acceleration due to gravity (taking the ride to another planet)
The correct answer is b. Increasing the radius of the rice would decrease the coefficient of friction needed for the ride, as a larger surface area would increase the area of contact between the rider and the ride, thus reducing the force of friction.
What is gravity?Gravity is a natural phenomenon by which all objects with mass are brought towards each other. It is most commonly observed as the attraction between objects with mass, such as the Earth and the Moon. This force of attraction is known as the force of gravity. Gravity also affects light and other particles, such as protons and neutrons. Gravity holds us to the ground and helps keep the planets in their orbits. It is the reason why objects fall to the ground and why we can’t easily fly off into space. Gravity is one of the fundamental forces of nature and is essential to understanding the universe.
Increasing the speed of the ride would increase the coefficient of friction needed, as it would increase the force of friction. Increasing the acceleration due to gravity would have no effect on the coefficient of friction needed for the ride.
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Imagine hanging from a chin-up bar and beginning a chin-up. Which of the following velocity versus time graphs best represents the first part of your motion (from being at rest to being approximately halfway to the bar)
The graph between velocity and time, which increases exponentially, best depicts the initial phase of your motion (from being at rest to being approximately halfway to the bar).
The velocity of an item in motion is a function of time and quantifies how quickly its position modifies with respect to a frame of reference. A moving object's velocity indicates both its direction and speed of motion. When we say that something is moving, what we really mean is a change in the object's position with respect to time. Things in motion, such as a book falling off a table, water running from a faucet, rattling windows, etc., serve as examples of motion.
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If a wave moves from a medium with a high wave velocity to one with a low wave velocity, which of the following CANNOT change: frequency, amplitude, wavelength, velocity, direction
When a wave move from a medium with high wave velocity to one with low wave velocity, the one that do not change is frequency.
When a wave moves from one medium to another, frequency is the only thing that remains constant, because it depends solely on the source, not the medium. Every other factors changes according to the medium.
When a wave moves from high velocity medium to low velocity medium, the velocity decreases. The direction changes, and is called refraction. From a lighter medium to denser medium, the wavelength, the waves slow down and wavelength decreases. On the boundary of the mediums, some absorptions may happen. So amplitude may decrease, or remains the same, if no external energy is provided.
So the factor that remains constant irrespective of the medium is the frequency.
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under what circumstances would a vector have components that are equal in magnitude? the vector lies at a 60 degree angle with two axes along which the component lie. the vector lies at a 45 degree angle with two axes along which the component lie. the vector lies at a 30 degree angle with two axes along which the component lie.
When a vector's components are identical in size, it means that the vector is at a 45° angle to the axis along which the components are located.
What needs to be true in order for a vector's components to have equal magnitudes?Only when two vectors share the same direction and magnitude are they regarded as being equal. Given that they share the same size and direction, the vector v and w are equivalent. Because they have opposite directions, vector v and w are still not identical.
Which one of the following comments about equal vectors is accurate?If the magnitude and direction of two vectors are the same, they are said to be equal. If they share the same original comment and are collinear, they will be initial if the same line is parallel to both vectors.
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when connecting manifold gauges to a heat pump that is in heating mode the hoses should be connected to the?
The hoses should always be hooked to that same vacuum pump when installing manifold gauges on a heat engine that is operating in the heating mode.
What do people's gauges represent?When alluding to the jewellery itself, the phrase "gauge" is really just a made-up byword for "stretched earlobes." Gauges are sometimes referred to as jewellery by those who are unfamiliar with the technical jargon used in body modification. The width of piercings once they reach an inch is known as the gauge.
What does gauge mean?The French term "jauge," which means "result of measuring," is the ancestor of the noun "gauge" and is tied to it. Documents as from 13th century make reference to this word.
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If an object is rotating clockwise, this corresponds to a _____ angular velocity:
a- negative
b- positive
If an object is rotating clockwise, this corresponds to a negative angular velocity. The greater the rotation angle in a given amount of time, the greater the angular velocity. The units for angular velocity are radians per second (rad/s).
What is angular velocity?The time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.
Is angular velocity a vector quantity?Yes, angular velocity is a vector quantity and has both a magnitude and a direction. The direction is the same as the angular displacement direction from which we defined the angular velocity.
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if the tension on the string is halved and the string is replaced by another with twice the linear density, by what factor will the speed of a wave on the string change?
The factor by which the speed of a wave on the string change is halved (1/2).
What is a string of mass's tension?The pull that is designated as tension is in that direction. As a result, the tension will point toward the string or rope and away from the mass. When a mass is hanging, the string pulls it upward, applying an upper force, which causes the tension to be on the upper side.
Tension= T' = 1/2T
Linear density = (m/L) final = 2 (m/L)
Speed of the wave = v => sqrt(T/(m/L)
=> sqrt(T/2 x 2(m/L) )
V final = 1/2sqrt(T/(m/L)
=> 1/2 times V
What does linear density mean?Mass per unit length of a strand or along the flow route of a stream of fibres is referred to as linear density.
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A small polyester ball and a piece of polyvinyl chloride (PVC) pipe are given the same negative charge. The ball is then placed over the PVC pipe, where it is observed to remain at rest 40 cm from the pipe. The mass of the polyester ball is 3.0 grams. Determine the charge on the ball.
The charge is ___uc
Also, solve with significant figures.
diagram of love shows one way to measure the volume of a irregular object which of the following measures men's
There is no scientific way to measure the volume of someone's love. Love is an emotion and cannot be measured by any scientific means.
What is volume?Volume is the measure of the amount of something. It could be the amount of space that something occupies or the amount of something that is present. It could be the amount of liquid, gas, or solid, or the amount of sound. It is an important concept in physics, mathematics, and other sciences. It can be measured in units such as cubic meters, liters, gallons, quarts, or decibels. Volume can be used to compare objects of different sizes, to measure the amount of a certain material, or to compare the relative sizes of two objects.
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the complete question is -
diagram of love shows one way to measure the volume of a irregular object which of the following measures men's
If K.E. of an object moving with velocity 4 m/s is 72 J. Calculate mass of the object.
Answer:
m=9
Explanation:
[tex]k.E = \frac{1}{2}m {v}^{2} [/tex]
[tex]m = \frac{2k.E}{v}^{2} [/tex]
m=2(72)/(4)^2
m=144/16
m=9
Find the equivalent resistance between terminals a and b Express your answer to three significant figures and include the appropriate units.
The equivalent resistance between them is 9.6 ohm.
At constant temperature, Georg Ohm discovered that the electrical current flowing through a fixed linear resistance is directly proportional to the voltage applied across it, as well as inversely proportional to the resistance. Ohms Law is based on the relationship between voltage, current, and resistance.
We can use Ohms Law to find the third missing value if we know any two values of Voltage, Current, or Resistance. Ohms Law is widely used in electronic formulas and calculations, so "understanding and accurately remembering these formulas is critical."
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if a 20.0 n brick is placed on top of the wooden block, what force will be required to keep the block and brick moving at constant velocity?
If a 20.0 n brick is placed on top of the wooden block, the force that will be required to keep the block and brick moving at constant velocity is 21N.
Given a wooden block is placed on smooth table.
Force exerted on the block (Fn) = 14N
Weight of the block (W) = 40N
The block is moving at constant velocity.
Then sliding frictional force acts on the block which is = Ff = Force exerted on the block.
Let the coefficient of sliding friction = µ
We know that force exerted Ff = Fn
µ(W) = Fn then µ = Fn/W
µ = 14/40 = 0.35
(a) Hence the coefficient of sliding friction is 0.35
(b) Again 20 N weight is added to the existing block.
Then total weight on the block (W) = -40 -20 = -60N
It acts as normal force = Fn = 60N
To keep the block and brick moving at constant velocity Force needed = Ff = µFn
Ff = 0.35 x 60 = 21N
Hence the force that will be required = 21N
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complete question: A smooth wooden block is placed on a smooth wooden tabletop. You must exert a 14.0N force to keep the 40.0N block moving at constant velocity.
a. What is the coefficient of sliding friction?
b. If a 20.0N brick is placed on the block, what force will be required to keep the block and brick moving at constant velocity?
Read the following passage.The cathode ray experiment indicated the existence of negatively charged particles in an atom. This experiment also disproved the part of Dalton's atomic model that claimed indivisibility of the atom. When the experiment was repeated using cathodes made of a different metal, each time the results were consistent. These discoveries of Thompson were later substantiated by Robert Millikan when he calculated the charge on an electron.Use information from the passage to justify whether the characteristics of reliable scientific explanations are present in the development of the atomic theory.
According to the atomic theory, matter was composed of indivisible units called atoms. The atomic theory was first proposed as a philosophical idea rather than on solid scientific grounds.
What explains the atomic theory?The atomic theory of matter aims to shed light on the composition of matter—the substances from which the universe, all galaxies, solar systems, and Earth are made. The atomic theory of matter asserts that every chemical element is composed of basic building blocks called atoms. John Dalston was the first to make this claim.
Atoms make up every form of matter. Atoms from the same element are identical, while atoms from other elements are distinct. Compounds are created when whole-number ratios of atoms combine.
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we measured the orbital period of a planet orbiting a star exactly like our sun, to be 2 hours. where is such a star located? answer in units of au.
According to Kepler's Third Law, the cubes of the quasi axes of the orbits of planets are directly related to the squares of the planets' orbital periods. The Third Law of Kepler suggests that
What is a ratio?
proportionate definition (End of Entry 2) 1a: equal in size, extent, or intensity. B: Corresponding sides of identical triangles are proportionate if their ratios are the same or constant. A proportionate system of migration quota regulates or determines in size or extent with regard to proportions.
What is proportion's polar opposite?
Phrases equivalent to the word proportionate. Similar words for proportionate. Asymmetry, distortion, irregularity, lopsidedness, nonsymmetry,
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when the pencil is a great distance from the screen, the shadow shows light and dark bands, clear signs of diffraction and interference. understanding this pattern requires us to use which model of light?
The wave model of light is used to understand the pattern when the pencil is at a great distance from the screen, the shadow shows light and dark bands, clear signs of diffraction and interference.
Huygens' Light Wave Model. According to Huygens' theory of light, light acts like a longitudinal wave. Huygens perceived the movement of a wave as the transmission of light. He said that by watching the movement of water surfaces, it is possible to better understand the nature of light.
Christiaan Huygens, an astronomer, devised a wave model of light.
Electrons move so quickly around a central nucleus that they resemble energy waves. The electron orbital clouds take on many forms as electrons jostle one another. According to scientists, there could be up to seven primary energy levels for the electrons surrounding the nucleus in an atom.
as airy as a wave One way to think of light is as an electromagnetic wave. According to this paradigm, a shifting magnetic field is produced by a shifting electric field.
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Suppose you have the equilateral triangle JKL where each side measures 5 feet with an altitude from K to JL. Which is the measure of the altitude?
The measure of the altitude of the equilateral triangle JKL is 4.33 feet
We have an equilateral triangle JKL that has a side of length 5 feet.
Now if we draw an altitude from K to J.
We can assume that the major the altitude is H.
We can assume the altitude to be perpendicular to the base.
The altitude should be by setting the base into two equal parts so we will have another triangle that will have a base of length 2.5 feet and hypotenuse of 5 feet.
Now we can simply with the Pythagoras theorem and order to find the attitude,
H² = (5)²-(2.5)²
H² = 25-6.25
H = 4.33 feet.
So, the altitude is of the magnitude 4.33 ft.
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