Potential energy or stored energy, and kinetic energy, the energy due to motion can be balanced in the process of converting kinetic energy to potential energy during an uphill motion
The correct option for, which situation shows potential energy and kinetic energy are balanced is option;
A roller coaster car going uphill
The reason the selected option is correct is as follows:
Potential energy is the energy that is due to the relative position of an item in relation to a ground or zero state. The formula for potential energy due to the elevation is given as follows;
Potential energy, P.E. = m·g·h
Kinetic energy is the energy that is due to motion. The kinetic energy of an item is given as follows;
Kinetic energy, K.E. = (1/2) × m × v²
The potential and kinetic energy of a body is balanced when we have;
P.E. = m·g·h = K.E. = (1/2)·m·v²
Which gives;
g·h = (1/2)·v²
Therefore, a point is reached as the an body moves up a heal, where the potential energy (the energy due to height of the object) and the kinetic energy (the energy due to current speed) of the object are equal
The correct situation which shows potential energy and kinetic energy are balanced is therefore; A roller coaster car going uphill
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Final answer:
Potential energy and kinetic energy are balanced when a roller coaster car is going uphill, where potential energy increases and kinetic energy decreases as the car ascends. At the peak, the two energies balance out due to the law of conservation of energy, ensuring total mechanical energy remains constant in a closed system.
Explanation:
The situation where potential energy (PE) and kinetic energy (KE) are balanced is when a roller coaster car is going uphill. As the roller coaster car ascends, its PE increases while its KE decreases as it slows down. At the peak of the hill, there's a moment where the car's velocity is zero and all of the KE has been converted into PE. If we assume no energy is lost to friction and we're dealing with a closed system, the law of conservation of energy states that the total mechanical energy (the sum of KE and PE) remains constant. Thus, the roller coaster at the top of the first rise has a certain amount of total mechanical energy, which balances out as it ascends and descends, converting between KE and PE.
For example, if a roller coaster descends 20 m and starts with an initial speed of 5 m/s, whether it was moving uphill or downhill, it will have the same final speed when it reaches a point 20 m below its starting height. This is consistent with the conservation of energy principle, as the total amount of mechanical energy remains the same throughout the ride, despite the continuous conversion between PE and KE.
Why is there lightning in volcanic eruptions
Answer:
Volcanic lightning is created when a volcano erupts and lots of tiny fine particles of volcanic ash form a cloud. Friction between the particles of ash and the gases emitted from the eruption cause differentces that create lightning. Friction between the particles of ash and the gases emitted from the eruption cause differentces that create lightning. The lightning usually occurs between clouds and from the eruption column to the crater.
Explanation:
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What phenomenon would cause you to see an emission of a specific wavelength of light from metal salts during the flame test?
The the flame test is used to identify some inorganic chemical elements, by means of the emission of light by the phenomenon of atomic excitation by the increase in temperature.
In this sense, when an atom is excited, it means that it has left its ground state (in which each electron occupies its place in its orbit, around the nucleus), when this happens some electron jumps out of the orbit it occupied in its fundamental state to an outer orbit, further away from the nucleus and then return to the ground state, emitting in the form of light the energy received.
To understand it better:
An excited electron is an unstable electron, and when passing from one orbit to another, it produces light of a specific wavelength (color) that depends on the amount of energy the electron loses.
This is how the color of the light emitted in the flame is related to a characteristic chemical element.
Which is the correct answer?
Answer:
Point A
Explanation:
The work done by stretching or compressing a spring is given by E=1/2kx²
The potential energy is numerically equal to the work done.
This means that the higher the bigger the value of the extension, x, the higher the energy contained.
In this scenario the modulus of x is considered.
Among the given values of x the modulus of -5 is the largest.
thus it gives the highest value of energy.
Shiny reflective clothing allows a firefighter to get closer to a fire. What type of heat transfer is reduced because of this material?
A.Conduction
B.Insulation
C.Radiation
D.Convection
Answer:
radiation
Explanation:
Answer:
C.Radiation
Explanation:
dude above was correct, took the test on apex and got this one correct..ty
Both the electrical force and the gravitational force between two objects share which relationship?
A. They are directly proportional to mass.
B. They are inversely proportional to the square of the distance.
C. They are inversely proportional to charge.
D. They are directly proportional to the square of the distance.
Answer:
B. They are inversely proportional to the square of the distance.
Explanation:
The gravitational force between two objects is given by:
[tex]F_G = G \frac{m_1 m_2}{r^2}[/tex]
where
G is the gravitational constant
m1, m2 are the masses of the two objects
r is the distance between the two objects
While the electrical force is given by
[tex]F_E = k \frac{q_1 q_2}{r^2}[/tex]
where
k is the Coulomb's constant
q1, q2 are the charges of the two objects
r is the distance between the two objects
As we see from the two equations, both forces are inversely proportional to the square of the distance, so the correct option is
B. They are inversely proportional to the square of the distance.
Answer:
b
Explanation:
Both the electrical force and the gravitational force between two objects share which relationship?
They are directly proportional to mass.
They are inversely proportional to the square of the distance.
They are inversely proportional to charge.
They are directly proportional to the square of the distance.
Whereas the vast majority of astrophysicists support the big bang theory, many nonscientists consider the theory to be controversial. Why do you think so many people might object to the theory?
Undoubtedly because they lack the education, experience, subject knowledge, or raw brain cells to comprehend the evidence on which the theory rests. OR they just haven't taken the time to READ the evidence yet.
It's the same thing that you find in the areas of the shape of the Earth, or the existence and causes of climate change. It's always the people with the least to say who are doing the most, loudest talking.
Here's an example: I'm writing this in early June, 2019. There's a group of these people who, when Climate Change comes up for discussion and action, beg themselves out of the discussion, saying "I'm not a scientist.". But only a short time later, when it comes to debate and legislation on abortion rights, those are the SAME people who suddenly claim to possess the knowledge and informed judgement of competent gynecologists.
2 Points
What kind of simple machine is the shin bone in your leg?
O
A. Lever
O
B. Inclined plane
O
C. Pulley
O D. Wedge
SUBMIT
Answer:
A. Lever
Explanation:
A Lever is the kind of simple machine is the shin bone in your leg.
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The shin bone in your leg, also known as the tibia, acts like a lever in the context of simple machines. It helps create movement, with muscles providing the force, and joints serving as fulcrums.
Explanation:The shin bone in your leg, also known as the tibia, is similar to a lever in the context of simple machines. In our bodies, bones, muscles, and joints work together to create movement. Muscles exert force, bones act as levers, and joints act as fulcrums. For instance, when you kick a ball, your shin bone acts as the lever; the joint at your knee serves as the fulcrum; and the muscles in your thigh and calf provide the force.
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What is the definition of physical weathering?
Physical weathering refers to the process of rocks breaking down due to external conditions like temperature and water, without their chemical composition being altered. Examples include temperature changes causing cracks in rocks, and water freezing in rock cracks leading to their breakage.
Explanation:Physical weathering, also known as mechanical weathering, is a concept in geography that describes the process of rocks breaking down into smaller pieces due to external conditions, without any change in their chemical composition. This occurs primarily due to temperature changes, water, wind, and biological activity.
For example, in the case of temperature changes, the rock can expand and contract causing it to crack and eventually break apart. This is often seen in desert environments where there is a large temperature difference between day and night. Similarly, water, when it gets into the cracks of the rock and freezes, expands, causing the rock to break apart. This process is known as freeze-thaw weathering and is commonly found in cold climates.
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Physical weathering is the process of breaking down rocks into smaller pieces by physical forces like temperature changes and erosion, without any change in the rock's chemical composition. Factors like climate and biotic activity can significantly influence the rate and extent of physical weathering.
Explanation:Physical weathering, also known as mechanical weathering, is a geological process where rock is broken down into smaller pieces by mechanical means, without any change in the chemical composition of the rock. This can occur through a variety of processes, including temperature changes, wind, water erosion, and biological activity. An example of physical weathering could be the process by which a mountain range is eroded by water and ice: the rocks are not chemically altered, but they are gradually worn down into smaller pieces due to the abrasive action of the moving water and ice.
Another important factor in physical weathering is the climate. Higher temperatures cause rocks to expand, and cooler temperatures cause them to contract. This expansion and contraction can cause stress in the rock that leads to cracking and breaking. Also, in areas of high moisture, water can seep into cracks in rocks and freeze, causing the cracks to widen and the rock to break.
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Which president is linked to the trickle-down theory of economics?
Answer:
Ronald Regan
Explanation:
Ronald Regan is the president linked to the trickle-down theory of economics.
Answer:
The answer is President Ronald Reagan.
Explanation:
Reaganomics is the term used when refering to the economic policies instituted by former President Ronald Reagan.
Reaganomics was part of the Economic Recovery Tax Act of 1981-Title I: Individual Income Tax Provisions-Subtitle A-Tax Reductions.
The Economic Recovery Tax Act of 1981-Title I: Individual Income Tax Provisions-Subtitle A-Tax Reductions states the following:
"Economic Recovery Tax Act of 1981 - Title I: Individual Income Tax Provisions - Subtitle A - Tax Reductions - Amends the Internal Revenue Code to reduce individual and estate and trust income tax rates for 1982, 1983, 1984 and thereafter."
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What is the magnitude of the gravitational force acting on the earth due to the sun?
Answer: [tex]3.524(10)^{22}N[/tex]
Explanation:
According to Newton's law of Gravitation, the force [tex]F[/tex] exerted between two bodies of masses [tex]m1[/tex] and [tex]m2[/tex] and separated by a distance [tex]r[/tex] is equal to the product of their masses and inversely proportional to the square of the distance:
[tex]F=G\frac{(m1)(m2)}{r^2}[/tex] (1)
Where:
[tex]G[/tex] is the Gravitational Constant and its value is [tex]6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}[/tex]
[tex]m1=1.99(10)^{30}kg[/tex] is the mass of the Sun
[tex]m2=5.972(10)^{24}kg[/tex] is the mass of the Earth
[tex]r=1.50(10)^{11}m[/tex] is the distance between the Sun and the Earth
Substituting the values in (1):
[tex]F=6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}\frac{(1.99(10)^{30}kg)(5.972(10)^{24}kg)}{(1.50(10)^{11}m)^2}[/tex] (2)
Finally:
[tex]F=3.524(10)^{22}N[/tex] This is the gravitational force acting on the earth due to the sun
The magnitude of the gravitational force acting on Earth due to the Sun is about 3.52 x 10^22 newtons, governing the Earth's orbit and the dynamics of the solar system.
The magnitude of the gravitational force acting on the Earth due to the Sun is approximately 3.52 x 10^22 newtons. This colossal force arises from Newton's law of universal gravitation, which states that every mass attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. In this case, the mass of the Sun, which is about 1.989 x 10^30 kilograms, exerts an immense gravitational pull on the Earth, situated at an average distance of approximately 93 million miles (or 150 million kilometers).
The gravitational force is responsible for keeping the Earth in orbit around the Sun and governing the motion of all celestial bodies in the solar system. It is a fundamental force of nature that shapes the dynamics of our universe.
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What are atoms of the same element with different numbers of neutrons called?
Answer:
These are called isotopes.
Explanation:
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In a system with only a single force acting upon a body, what is the relationship between the change in kinetic energy and the work done by the force?Answers:Work is equal to the change in kinetic energy.Work depends on the square of the change in potential energy.Work is equal to the negative of the change in kinetic energy.Work is equal to the square of the change in kinetic energy
Answer:
Work is equal to the change in kinetic energy.
Explanation:
Since energy cannot be created nor destroyed, and work is a form of energy, the work done by a force acting on an object must be equal to the kinetic energy gained by the object.
This is summarized by the work-energy theorem, which can be written as:
[tex]W=\Delta K = K_f - K_i = \frac{1}{2}mv^2 - \frac{1}{2}mu^2[/tex]
where
W is the work done on the object
m is the mass of the object
v is the final speed of the object
u is the initial speed of the object
Final answer:
The work done by a force on a body is equal to the change in that body's kinetic energy, according to the work-energy theorem.
Explanation:
In a system where only a single force is acting upon a body, the work done by that force is equal to the change in kinetic energy of the body. This is known as the work-energy theorem, which can be mathematically expressed as the total work done on the system being equal to the change in kinetic energy. If the force is in the direction of the motion, the work done on an object increases its kinetic energy. However, if the force is opposite the direction of motion, it does negative work, and the kinetic energy decreases. No other forms of energy, such as potential energy, are taken into account in this particular relationship.
A molecule must be nonpolar if the molecule1. is liner2. is neutral3. has ionic and convalent bonding4. has a symmetrical charge distribution
Answer:
4. has a symmetrical charge distribution
Explanation:
Symmetrical charge distribution in molecules results in the formation non-polar molecules.
For a symmetrical distribution of charge to occur, there must be a sort of sharing of electrons between two atoms. In the case where electrons are transferred, there won't be any need to distribute charges.
When electrons are shared between atoms with similar likeness for the electron, none of the two atoms pulls the electrons more to itself. The electrons are shared evenly and symmetrically between the two atoms. This leaves no charge separation on any of the atom. Therefore, the dipoles in one direction cancels out the dipoles in another direction and this leaves no charge.
This makes the molecule non-polar.
Answer:
has a symmetrical charge distribution
Explanation:
A symmetrical charge distribution means the atoms have the same electronegativity or they are a molecule with the same atoms in a regular pattern around the center is in CH4, identical along a central line.
Which one of the following can the transit method tell us about a planet? -its mass-its size-the eccentricity of its orbit
The "transit method" means doing very careful precise measurements as the planet passes in front of its star.
It's too far away for us to see it directly, but when it "transits" the star, the brightness of the star decreases by a tiny tiny tiny bit, which we can measure.
If we can measure that dip with good enough precision, it tells us how much of the star's photosphere was blocked from our view when the planet temporarily got in the way. From that, we can estimate the planet's size.
The law of reflection states that the angle of incidence and the angle of reflection are always A: greater than 45 degrees each B: less than 45 degrees each C: equal in measure D: different in measure
Answer:
It'll be, C.) equal in measure.
The law of reflection states that the angle of incidence and the angle of reflection are always C: equal in measure.
What are the three laws of reflection?
Incoming rays, normal rays, and reflected rays are all in the same plane. Changing the direction of the incident ray changes the angle of the plane. Again, the incident, normal, and reflected rays are all in the same plane.
Set of optics: When light hits a flat surface, it is reflected so that the angle of reflection is equal to the angle of incidence, placing incident, reflected, and vertical rays on the surface. ..
Law of light reflection (i) The incident rays, normals, and reflected rays are all in the same plane. (Ii) The angle of incidence is equal to the angle of reflection.
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which statement best describes the big bang theory?
A.The universe began as a ball of energy and has been collapsing since its formation.
B.The universe began as a cloud of dust and gas and has been expanding since its formation.
C.The universe began at an outer boundary has been collapsing since its formation.
D.The universe began at a single point and has been expanding since its formation.
Answer:
the universe began at a single point and has been expanding since its formation
The statement best describes the big bang theory is the universe began at a single point and has been expanding since its formation. The correct option is D.
What is big bang?The big bang is the theory which explains that how the universe began. It says that the universe began with just a single point. It went on expanding and stretched to grow as large as possible. It is still now expanding.
The big bang consist of fully dark matter, interstellar gases or dust. The big bang is increasing just because in universe there is abundant of hydrogen and helium.
The radiations come from the big bang. These rays are also called as cosmic wave. This big bang is still on it way of expanding more.
Thus, the statement best describes the big bang theory is the universe began at a single point and has been expanding since its formation.
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which image illustrates diffraction
Answer:
I think it is C
Explanation:
I think C because it is the one. I might be wrong but I helped and your welcome if you thanking me.
Answer:
Figure C
Explanation:
Here different figure represents different situations
Figure A
it represents the situation of reflection of light in which light bounce back into the same medium after reflecting by a surface
Figure B
It show refraction of light in which light will bend from its path when light travels from one medium to other medium
Figure C)
here we can see that a plane wavefront incident on the small opening and after that it converts into spherical wavefront. So when light passes through a small opening then it gets diverge at the corners of the opening which is known as diffraction
Figure D
it is just the incident of light ray which get completely absorbed by the medium.
20 POINTS! Two similar solids have heights of 6 cm and 9 cm. If the volume of the smaller solid is 88 cm^3, calculate the volume of the larger solid.
PLEASE give an explanation with your answer! PLEASE!
Answer: [tex]132cm^{3}[/tex]
Explanation:
The volume [tex]V[/tex] of a solid is given by the multiplication of its three dimensions:
[tex]V=(height)(widgth)(length)[/tex]
In this case we have two similar solids with volumes [tex]V_{1}=88cm^{3}[/tex] and [tex]V_{2}[/tex], and we only have information about the height of each solid [tex]h_{1}=6cm[/tex] and [tex]h_{2}=9cm[/tex].
Now, there is a theorem for similar solids, which establishes the ratio of their volume is [tex]\frac{V_{1}}{V_{2}}[/tex] and the ratio of one of their corresponding sides (the height in this case) is [tex]\frac{h_{1}}{h_{2}}[/tex].
Knowing this, we can write the following relation:
[tex]\frac{V_{1}}{V_{2}}=\frac{h_{1}}{h_{2}}[/tex]
Substituting the known values:
[tex]\frac{88cm^{3}}{V_{2}}=\frac{6cm}{9cm}[/tex]
Fially finding [tex]V_{2}[/tex]:
[tex]V_{2}=132cm^{3}[/tex]
Final answer:
The volume of the larger solid is found by cubing the linear dimension ratio (which is 2:3 for the heights of the two solids) and then multiplying by the volume of the smaller solid. This calculation results in a volume of 968 cm³ for the larger solid.
Explanation:
When comparing the volumes of two similar solids, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Since the heights of the two solids are 6 cm and 9 cm, we use the ratio of their heights (6:9) which simplifies to 2:3. The volume of the larger solid is then calculated by cubing the ratio (2:3) and multiplying it by the volume of the smaller solid:[tex]V_{smalller}[/tex]
[tex]V_{larger}[/tex] = (3/2)³ × [tex]V_{smalller}[/tex] = (27/8) × 88 cm³ = 11 × 88 cm³ = 968 cm³.
Therefore, the volume of the larger solid is 968 cm³.
A transverse wave on a string has an amplitude A. A tiny spot on the string is colored red. As one cycle of the wave passes by, what is the total distance traveled by the red spot?a.) 4Ab.) 1/2 Ac.) 1/4 Ad.) Ae.) 2A
Since it's a transverse wave, a particle on the string moves left and right as the wave passes by, but the particle doesn't travel forward or backward at all.
So the little red dot moves 'A' to the left, then 'A' back to the center, then 'A' to the right, then 'A' back to the center again.
All together, the red dot moves a total distance of 4A . (choice 'a')
The total distance traveled by the red spot in one cycle is equal to 2A. Therefore, option (e) is correct.
What is a transverse wave?Transverse waves are described as waves the displacement of the particle is perpendicular to the direction of propagation of the wave. Examples of transverse waves involve ripples on the surface of the water, secondary waves of an earthquake, waves on a string, human waves, ocean waves, and Electromagnetic waves.
A longitudinal wave can be defined as the displacement of the particle parallel to the direction of the propagation. Sound waves in the air, primary waves of an earthquake are longitudinal waves.
A transverse wave of the particle of the medium traveling around its mean position in a direction that is the opposite of the propagating direction. Transverse waves are produced only on the surface of liquids and solids.
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An object weighing 20 n moves horizontally toward the right a distance of 5.0 m. What is the work done on the object by the force of gravity?
Answer:
Zero
Explanation:
The work done by a force on an object is given by:
[tex]W = Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and the displacement
From the formula, we see that if the force and the displacement are perpendicular to each other, then the cosine term is zero, so the work done is zero.
In this problem, the force is the force of gravity, which pulls downward, while the displacement is horizontal (in the right direction): so, the force and the displacement are perpendicular to each other, and so the work done by gravity is zero.
The work done by gravity on an object moving horizontally is zero because the displacement is perpendicular to the direction of the gravity force.
Explanation:The student wants to know the work done on an object by the force of gravity as it moves horizontally. The work done by a force on an object is the product of the force and the distance moved in the direction of the force. In this case, the object is moving horizontally, perpendicular to the direction of the force of gravity, which acts downwards.
Since work done is the product of force and displacement in the direction of the force, and here the displacement is perpendicular to the force of gravity (represented by the weight), the work done is zero. This is because the angle between the direction of the force and direction of displacement is 90 degrees, and the cosine of 90 degrees is zero, making the entire product of force and displacement zero.
This is in line with the concept that gravity does zero work when the displacement is horizontal. In essence, for a horizontal movement, no work is done by gravity.
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Which of these best describes a situation where science is used?
A. choosing a career after graduation
B. brushing teeth after having dinner
C. ordering food in a restaurant by looking at a menu card
D.predicting the weather by looking at the clouds
Answer:
The correct answer will be option-B.
Explanation:
Science is a systematic approach to understand and explain the natural phenomenon occurring in an area.
The explanation of any phenomenon or process taking place can be approached through following scientific methods which include: asking a scientific question based on predictions, background research and formation of hypothesis which can be tested through experiments and observations.
In the given question, predicting the atmospheric weather after looking at the clouds in the sky is the situation where scientific methods can be applied as the situation starts with the observation and prediction of the atmosphere which could lead to the generation of a scientific question.
Thus, Option-B is the correct answer.
Which scientist used cepheid variables to measure the distance to faint "nebulas" in our sky, proving they were actually whole other galaxies?
Cepheids variables are stars of variable luminosity (like a lighthouse), pulsing with specific periods. That is, these are stars that periodically change their brightness (from the perspective of an observer on Earth).
Then, by measuring this period of variation of brightness we can have a measure of the brightness of the star. And knowing this brightness, this can be compared with the star's apparent brightness in the sky to obtain a measure of the distance to the star; thus indicating the distance at which the star is in the Universe.
To understand it better and returning to the comparison with the lighthouse:
If we know how bright is the light of a lighthouse at a specific distance (two meters, for example) and we also know how that brightness changes with distance, as we move away from the lighthouse we will know how much its brightness has been reduced. In this way we can use this measure as a pattern to calculate the luminosity of the object as a function of distance.
Well, this is what Edwin Hubble did to measure the variable brightness of the star Cepheid V1, discovering that the nebula in which it was found was actually a galaxy (Andromeda galaxy), showing that there were more galaxies in the universe and that the Milky Way was not the only one.
Then Hubble continued progressively its measurements with Cepheid variables in more distant galaxies measuring their periods, managing to formulate the famous Hubble law, which would open the way to the knowledge that our universe is expanding.
Edwin Hubble used cepheid variables to measure the distance to faint 'nebulas', showing they were other galaxies. This led to our understanding of the expanding universe.
Explanation:The scientist who used cepheid variables to measure the distance to faint 'nebulas' in our sky, ultimately determining that they were actually other galaxies, was Edwin Hubble. Hubble's work led to the understanding that the universe is constantly expanding. Cepheid variables are stars that pulse at a rate proportional to their intrinsic brightness, thus by observing the pulsation period of these variables, Hubble was able to determine their distance from Earth. This use of cepheid variables led to the revolutionary discovery of other galaxies beyond the Milky Way.
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A 60-vibration-per-second wave travels 30 meters in 1 second. Its frequency is
It really doesn't matter how long it takes it to travel what distance.
You said the wave vibrates 60 times per second. That right there is a pretty fair intuitive description of what "frequency" means.
If it vibrates 60 times per second, then its frequency is 60 per second.
(The unit "per second" has a special name: "Hertz", abbreviated "Hz" .)
A main difference between gravitational and electric forces is that electrical forcesA. attract. B. repel or attract. C. obey the inverse-square law. D. act over shorter distances. E. are weaker.
Answer is :
repel or attract- B.
What do sound waves and infrared waves have in common
Explanation:
Sound waves (mechanical waves) and infrared waves (electromagnetic waves), both can transfer energy through matter. However, there is a huge diference between them:
Mechanical waves only propagate through matter and can not propagate in vacuum. This means, they necessarily need a medium to propagate.
On the other hand, electromagnetic waves can propagate through matter and in vacuum, too. This means their propagation does not depend on the existence of a medium.
The distance from the bottom of the objective lens to the surface of the slide is called the
Answer:
It's called the working distance .
The distance from the bottom of the objective lens to the surface of the slide is called the working distance, which decreases with higher magnification and requires careful focusing.
The working distance is the length of time between the objective lens's bottom and the slide's surface. This distance is critical in microscopy as it can affect the focus and resolution of the image being observed.
In general, as you increase the magnification by switching to a higher power objective lens, the working distance decreases. This means that there is less space between the objective lens and the specimen, resulting in a closer and more magnified view of the specimen.
However, a higher magnification also increases the risk of bringing the lens too close to the specimen, potentially damaging both the specimen and the lens if not handled carefully.
Therefore, when using high magnification, only minor adjustments should be made using the fine focus knob to avoid collision between the lens and the slide.
Suppose a spacecraft orbits the moon in a very low, circular orbit, just a few hundred meters above the lunar surface.The moon has a diameter of 3500 km , and the free-fall acceleration at the surface is 1.60 m/s^2.How much time in minutes does it take for the spacecraft to complete one orbit?
Explanation:
The acceleration due gravity (free-fall acceleration) [tex]g=[/tex] of a body is given by the following formula:
[tex]g=\frac{GM}{r^{2}}[/tex] (1)
Where:
[tex]G=6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}[/tex] is the gravitational constant
[tex]M[/tex] the mass of the body (the moon in this case)
[tex]r[/tex] is the distance from the center of mass of the body to its surface. Assuming the moon is a sphere with a diameter [tex]d=3500km[/tex], its radius is [tex]r=\frac{d}{2}=1750km=1750(10)^{3}m [/tex]
If the value of [tex]g[/tex] is given: [tex]g=1.60m/s^{2}[/tex] we can find the mass of the moon with equation (1):
[tex]M=\frac{gr^{2}}{G}[/tex] (2)
[tex]M=\frac{(1.60m/s^{2})(1750(10)^{3}m)^{2}}{6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}}[/tex] (3)
[tex]M=7.34(10)^{22}kg[/tex] (4)
Now, according to the 3rd Kepler's Law, there is a relation between the orbital period [tex]T[/tex] of a body (the spacecraft in this case) orbiting a greater body (the moon) in space with the size [tex]r[/tex] of its orbit.
[tex]T^{2}=\frac{4\pi^{2}}{GM}r^{3}[/tex] (5)
Substituting the known values and the calculated mass of the moon in (6), we can find the period of the orbit of the spacecraft around the moon:
[tex]T=\sqrt{\frac{4\pi^{2}}{GM}r^{3}}[/tex] (6)
[tex]T=\sqrt{\frac{4\pi^{2}}{(6.674(10)^{-11}\frac{m^{3}}{kgs^{2}})(7.34(10)^{22}kg)}(1750(10)^{3}m)^{3}}[/tex] (7)
Finally:
[tex]T=6571.37619s=109.522 min[/tex]
Given the moon's diameter and the acceleration due to gravity at its surface, a spacecraft in low, circular orbits roughly 115.2 minutes to complete one orbit, using the equations of circular motion.
Explanation:To calculate the time it takes for the spacecraft to complete one orbit, you need to know the speed of the craft, which is determined by the gravitational force between the Moon and the spacecraft. This force creates the centripetal acceleration that keeps the spacecraft in its circular orbit.
The formula to calculate the speed (v) in a circular orbit is v = √(g*r), where g is the acceleration due to gravity (1.6 m/s^2) and r is the radius of the orbit. Because the spacecraft is very close to the lunar surface, the radius is approximately the radius of the moon, which is 1.75 x 10^6 m (half the diameter).
Then, the orbital period (time for one complete orbit) can be calculated using the formula T = 2πr/v. Substituting known values and calculating, it takes approximately 1.92 hours, or 115.2 minutes, for the spacecraft to complete one orbit.
Learn more about Orbital Period here:https://brainly.com/question/13207632
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which statement correctly describes a hypothesis?
A.It is a result of an experiment
B.it cannot be tested
C.it is a conclusion based on scientific evidence
D.it is directly testable
Answer:
D
Explanation:
A hypothesis is pretty much what you think something is, what you think the solution is, with the little information that you already have. this can go on to be tested
Final answer:
Correct answer is option D. A hypothesis is a testable proposed explanation for a phenomenon, capable of being supported or refuted by scientific experiments or observations.
Explanation:
Within the realm of science, a hypothesis is a suggested explanation for a phenomenon that is based on evidence and can be tested through observation and experimentation. The key aspect of a hypothesis is its ability to be supported or refuted by experimental data.
So, the correct statement that describes a hypothesis is that it is directly testable (D). Contrary to a hypothesis that cannot be tested, which would not be a scientific hypothesis, a valid hypothesis must allow for the design of experiments or observations that could potentially demonstrate it to be false.
A soccer player is running at a constant speed of 1.8 m/s when she speeds up in the same direction with an acceleration of 0.50 m/s2. What will be her final speed if she accelerates for a total distance of 10.0 meters?
Answer:
3.6 m/s
Explanation:
v² = v₀² + 2a(x - x₀)
v² = (1.8 m/s)² + 2 (0.50 m/s²) (10.0 m)
v = 3.6 m/s
Answer:
Final speed, v = 3.63 m/s
Explanation:
It is given that,
Initial speed of the player, u = 1.8 m/s
Acceleration of the player, [tex]a=0.5\ m/s^2[/tex]
Distance, s = 10 m
We need to find the final speed of the player. Let it is given by v. Using third equation of motion as :
[tex]v^2-u^2=2as[/tex]
[tex]v^2=2as+u^2[/tex]
[tex]v^2=2\times 0.5\times 10+(1.8)^2[/tex]
v = 3.63 m/s
So, the final speed of the player is 3.63 m/s. Hence, this is the required solution.
A large cruise ship of mass 7.00 ✕ 107 kg has a speed of 11.6 m/s at some instant. (a) What is the ship's kinetic energy at this time? (b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.00 km?
(a) [tex]4.7\cdot 10^9 J[/tex]
The kinetic energy of an object is given by
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is its speed
For the ship in this problem,
[tex]m=7.00 \cdot 10^7 kg[/tex] is the mass
[tex]v = 11.6 m/s [/tex] is the speed
Substituting,
[tex]K=\frac{1}{2}(7.00 \cdot 10^7 kg)(11.6 m/s)^2=4.7\cdot 10^9 J[/tex]
(b) [tex]-4.7\cdot 10^9 J[/tex]
The work done on the ship is equal to the change in kinetic energy of the ship; so we have:
[tex]W = K_f - K_i[/tex]
where
W is the work done
Kf is the final kinetic energy of the ship, which is zero since it comes to rest
Ki is the initial kinetic energy of the ship, which is [tex]4.7\cdot 10^9 J[/tex]
Substituting into the formula,
[tex]W=0-4.7\cdot 10^9 J=-4.7\cdot 10^9 J[/tex]
and the sign is negative because the force used to stop the ship acts against the direction of motion of the ship, in order to slow it down.
(c) [tex]1.57\cdot 10^6 N[/tex]
The work done by the force applied to stop the ship is
W = Fd
where
W=-4.7\cdot 10^9 J is the work done
F is the force applied
d = 3.00 km = 3000 m is the displacement of the ship
Solving the equation for F, we find the force:
[tex]F=\frac{W}{d}=\frac{-4.7\cdot 10^9 J}{3000 m}=-1.57\cdot 10^6 N[/tex]
and ignoring the negative sign, the magnitude of the force is
[tex]1.57\cdot 10^6 N[/tex]