A sled is being held at rest on a slope that makes an angle θ with the horizontal. After the sled is released, it slides a distance d1 down the slope and then covers the distance d2 along the horizontal terrain before stopping. Find the coefficient of kinetic friction μk between the sled and the ground, assuming that it is constant throughout the trip.
The equation for the coefficient of kinetic friction is given below:
\(μk =d1sin(θ)/d2+d1cos(θ) [eq. 1]\)
Suppose the same sled is released from the same height on the same slope. This time, however, assume that the coefficient of kinetic friction between the ground and the sled is a known quantity, mu, and, as before, constant throughout the trip. After the sled is released, it slides the same distance d1 down the slope and then moves a certain (unknown) distance along the horizontal terrain before stopping.
Due to the work-energy principle, the energy dissipated in the form of heat is equal to the work done by the frictional force that brings the sled to a stop. We can write this as follows:
\(μkmgd = 1/2mV^2 [eq. 2]\)
Where, d is the distance that the sled travels along the horizontal terrain after it leaves the slope. Using trigonometry, we can relate d1 and d as follows:
\(d = d1sin(θ)/μk + cos(θ)\) [eq. 3]
Combining equations 2 and 3, we get:
\(μkmgd1sin(θ)/μk + cos(θ) = 1/2mV^2\)
Cancelling out m and rearranging the terms, we get:
\(d = V^2/2g(μkcos(θ) + sin(θ)) x d1\) [eq. 4]
Substituting the expression for\(V^2/2g\), we get:
\(d = (μkcos(θ) + sin(θ)) x d1/2μk\) [eq. 5]
Hence, the distance traveled by the sled is given by equation 5.
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pls help me to draw it . I will make you brianliest
Plane polarized light of intensity I0 is passed through a polarizer oriented at 45° to the original plane of polarization. What is the intensity transmitted?
a. 0.70 I0
b. 0.50 I0
c. 0.35 I0
d. 0.25 I0
e. 0.00
When plane-polarized light passes through a polarizer oriented at an angle of 45° to the original plane of polarization, the intensity of the transmitted light can be determined using Malus' law.
Malus' law states that the intensity of light transmitted through a polarizer is proportional to the square of the cosine of the angle between the polarization direction of the incident light and the axis of the polarizer. In this case, the angle between the original plane of polarization and the axis of the polarizer is 45°. The cosine of 45° is\(1/√2\).
Applying Malus' law, the intensity transmitted is given by: Intensity transmitted = \(I0 * (cos(45°))^2 = I0 * (1/√2)^2 = I0 * 1/2 = 0.50 I0\)
Therefore, the intensity transmitted through the polarizer is 0.50 times the original intensity (I0).
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Data can be arranged in visual displays called blank to make identifying trends easier
Data can be displayed as graphs, which are graphic representations, to help identify trends more quickly.
A graph is a visual representation of the relationship between two variables, typically two variables that are measured along an axis that is perpendicular to the other two axes. A graph, in a nutshell, is a visual representation of data for easy comprehension. Graphs are commonly used to show scientific data so that readers may immediately see trends. Graphs are often used in the social sciences to visually convey important information. A network's connection between lines and points is represented mathematically by a graph. The points and arcs that connect them make form a graph.
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Cart A has mass M and is released from rest at a height 2H on a ramp making an angle 2 with the horizontal, as shown above. Cart B has mass 2M and is released from rest at a height H on a ramp making an angle with the horizontal. The carts roll toward each other, have a head- on collision on the horizontal portion of the ramp, and stick together. The masses of the carts’ wheels are negligible, as are any frictional or drag forces.
a.) Derive an expression to determine the velocity of Cart A in terms of the variables given in the prompt.
b.) Derive an expression to determine the velocity of Cart B in terms of the variables given in the prompt.
c.) Determine the final velocity of the carts after the collision.
d.) Is the collision elastic or inelastic? Justify your answer.
*Answers should not include numbers, only variables.
a) The expression to determine the velocity of cart A is \(v_{A} = 2\cdot \sqrt{g\cdot H}\).
b) The expression to determine the velocity of cart B is
\(v_{B} =\sqrt{2\cdot g\cdot H }\).
c) The final velocity of the carts after the collision is \(v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}\).
d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together.
Study of an inelastic collisionIn this question we shall apply principle of energy conservation and principle of linear momentum conservation to model an inelastic collision between two carts.
a) The combination of cart and ramp can be considered a conservative system as there are no non-conservative forces (i.e. friction), the final velocity of cart A (\(v_{A}\)) is related to the change in gravitational potential energy:
\(\frac{1}{2}\cdot M\cdot v_{A}^{2} = M\cdot g \cdot 2\cdot H\) (1)
Now we clear \(v_{A}\) and simplify the resulting expression:
\(v_{A} = 2\cdot \sqrt{g\cdot H}\)
The expression to determine the velocity of cart A is \(v_{A} = 2\cdot \sqrt{g\cdot H}\). \(\blacksquare\)
b) We apply the same approach used in part b) to find the final velocity:
\(\frac{1}{2}\cdot (2\cdot M) \cdot v_{B}^{2} = (2\cdot M)\cdot g \cdot H\) (2)
Now we clear \(v_{B}\) and simplify the resulting expression:
\(v_{B} =\sqrt{2\cdot g\cdot H }\)
The expression to determine the velocity of cart B is
\(v_{B} =\sqrt{2\cdot g\cdot H }\). \(\blacksquare\)
c) The final velocity (\(v\)system is determined by principle of linear momentum conservation:
\(3\cdot M\cdot v = M\cdot 2\cdot \sqrt{g\cdot H}-2\cdot M\cdot \sqrt{2\cdot g\cdot H}\)
\(3\cdot v = 2\cdot (1-\sqrt{2})\cdot \sqrt{g\cdot H}\)
\(v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}\)
The final velocity of the carts after the collision is \(v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}\). \(\blacksquare\)
d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together. \(\blacksquare\)
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A car enters a freeway with a speed of 6.5 m/s and accelerates to a speed of 24 m/s in 3.5 min. How far does the car travel while it is accelerating? (Hint: find the acceleration first)
a 3205.5 m
b 1548.75 m
c 76.13 m
d 761.3 m
Explanation:
Using Equations of Motion :
(1) v = u + at
24 = 6.5 + a * 210
a (Acceleration) = 0.083 m/s^2
(2) v^2 = u^2 + 2aS
S = 576 - 42.25 / 0.166
S (Distance travelled) = 3215.3 m
(Option A seems a typo since the answer is 3215.3 m)
What happens to waves near the shore?
Answer As a wave travels across the open ocean, it gains speed. When a wave reaches a shallow coastline, the wave begins to slow down due to the friction caused by the approaching shallow bottom. ... Think of it like driving a car at high speed and then slamming on the breaks. Everything is going to fly to the front.:Waves at the Shoreline: As a wave approaches the shore it slows down from drag on the bottom when water depth is less than half the wavelength (L/2). The waves get closer together and taller. ... Eventually the bottom of the wave slows drastically and the wave topples over as a breaker. hope this helps have a nice night❤️❤️❤️
Explanation:
Use the emission spectra shown to answer the following questions (note the direction of the wavelength scale):
A. A high school student acquired an emission spectrum of an unknown sample. He knew the unknown sample contained one of the elements, whose spectra are shown above. The emission spectrum of his sample showed a strong emission at 610 nm and 480 nm but not at 670 nm. Which element did his unknown sample contain? (2 points)
B. Element A above has a strong emission around 670 nm. Would this correspond to a red line or a blue line? Explain your answer. (2 points)
C. Element C above has a strong emission line around 570 nm. What frequency does this correspond to? (2 points)
By using the emission spectra the following were found:
A) The element which has an emission spectra with these wavelengths is Strontium (Sr).
B) The element A above has a strong emission around 670 nm which would correspond to a red line.
C) The strong emission line around 570 nm corresponds to the frequency of 5.26 x 10^14 Hz.
A) The unknown sample contains an element whose emission spectra showed a strong emission at 610 nm and 480 nm but not at 670 nm. The element which has an emission spectra with these wavelengths is Strontium (Sr). The emission spectra of Sr has strong emission lines at 460 nm, 485 nm, and 610 nm. So, the high school student's unknown sample contains Strontium (Sr).
B) The element A above has a strong emission around 670 nm which would correspond to a red line. This is because the red color has the longest wavelength among all the colors of the visible spectrum. The wavelength of the red color is around 700 nanometers, and the wavelength of violet color is around 400 nanometers. As the wavelength of the red color is the longest, it is visible as a red line in the emission spectra.
C) As per the diagram given above, Element C has a strong emission line around 570 nm. We know that the speed of light is 3.0 x 10^8 m/s and frequency of light is given by the equation,
frequency = speed of light/wavelength
In order to find the frequency which corresponds to the wavelength of 570 nm, we need to convert the wavelength in meters.
1 nm = 1 x 10^-9 m
So, 570 nm = 570 x 1 x 10^-9 m = 5.7 x 10^-7 m
frequency = (3.0 x 10^8 m/s)/(5.7 x 10^-7 m) = 5.26 x 10^14 Hz
The strong emission line around 570 nm corresponds to the frequency of 5.26 x 10^14 Hz.
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If a star is 720 , 000 , 000 , 000 , 000 meters from Earth, how many seconds does it take light to travel from the Earth to the star
Answer:
anywhere between 100000 to about 400000 human years .
Explanation:
After a storm, a hospital may have to rely on backup generators to power some equipment. Which is the energy conversion provided by the generators?
A. mechanical to electrical energy
B. thermal to mechanical energy
C. nuclear to mechanical energy
D. thermal to electric energy
Answer:
in a generator mechanical energy is a device that converts a form of energy into electricty
The energy conversion provided by the generators is: mechanical to electrical energy. Hence, option (A) is correct.
What is working principle of electric generators?An electric generator is a device that generates electric energy, which can either be immediately delivered to houses, businesses, and other structures or stored in batteries. Electromagnetic induction is the basis for how electric generators operate.
A horseshoe-shaped magnet's poles are quickly rotated around a conductor coil, which is a copper coil that has been tightly wound onto a metal core. An armature is made up of a conductor coil and a core. The armature is rotated by a mechanical energy source, such as a motor, by means of a shaft connection.
The magnetic field that exists between the magnet's two poles is broken off when the coil turns. The conductor's electrons will interact with the magnetic field, causing an electric current to flow through it.
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Suppose two objects are gravitationally attracted to each other with some force F. If the mass of object 1 is multiplied by a factor of five and the mass of object 2 is multiplied by a factor of two, what will the new gravitational force be between the objects?
A. F2
B. 1/2F
C. 0.1F
D. 2F/5
E. 5F
J. 10F
Please help will mark brainliest
If F = Gm₁m₂/d², and we change m₁ to 5m₁ and m₂ to 2m₂, then the new magnitude of the gravitational force is
F' = G (5m₁) (2m₂) / d²
F' = 10 Gm₁m₂ / d²
but this is really just F' = 10F. So J is the correct choice.
Hi there!
Using Newton's Law of Universal Gravitation:
\(\large\boxed{F_g = G\frac{m_1m_2}{d^2}}\)
Fg = Force of gravity (N)
G = Gravitational Constant
m₁ = mass of object 1 (kg)
m₂ = mass of object 2 (kg)
d = distance between the objects (m)
There is a direct relationship between the masses of the objects and the resulting force of gravity, so we can plug new values in:
\(F_g = G\frac{5m_12m_2}{d^2}} = 10G\frac{m_1m_2}{d^2}} = 10F_g\)
Thus, the correct answer is J. 10Fg.
why do we classify living organisms
Answer:
The science of classifying living things is called taxonomy. Scientists classify living things in order to organize and make sense of the incredible diversity of life. Modern scientists base their classifications mainly on molecular similarities. They group together organisms that have similar proteins and DNA.
Explanation:
The science of classifying living things is called taxonomy.
is a
The wire in a simple circuit
which forms an
unbroken pathway, allowing the
electric charges to flow.
A. switch
B. insulator
C. resistor
D. conductor
Answer:
I believe the answer is D: Conductor.
Help fast. || Use this picture to explain that an electrically charged object can attract an uncharged object without any contact. Your answer should be at least three sentences long.
a balloon hanging from a string with small pieces of paper stuck to the bottom of it, with a few pieces on the ground
Answer:
In this picture, we see a balloon that has been rubbed against a material to acquire a negative charge. The negatively charged balloon then attracts the small pieces of paper, which are neutral and initially at rest, without any physical contact. This is an example of electrostatic attraction, which occurs between charged and uncharged objects and is caused by the electric field created by the charged object.
Petuina rolls 16Km a day and it take her 1.25hrs. How fast is petuina rolling?
The speed of the petunia rolls is obtained from the calculation as 12.8 Km/hr.
What is speed?The term speed is the ratio of the distance to the time that is taken by a body. We know that speed is how we would know how fast or slow that a material is moving and the unit that we can use to measure the speed of an object is kilometers per hour.
Distance covered by the object = 16Km
Time taken by the object = 1.25hrs
Speed = Distance/ Time
Speed = 16Km/ 1.25hrs
= 12.8 Km/hr
The speed is 12.8 Km/hr.
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The Fastest Moving Planet In A Solar System Is:? A. The Smallest Planet. B. Any Planet, Because They All Move At The Same Speed. C. The Planet Nearest The Sun. D. The Planet Farthest From The Sun.
The planet that moves the fastest in a solar system is the planet nearest the Sun.
The correct option is C. The Planet Nearest The Sun.
What is a Solar System?
A solar system is a collection of planets, moons, comets, asteroids, and other objects that revolve around a single star. The sun is the center of our solar system, and it includes all of the matter and energy that orbits around it, including Earth and all the other planets.
Sun, the star around which Earth and the other planets of the solar system revolve, has a huge gravitational field. Planets move around the sun in a fixed orbit at varying speeds, depending on their distance from the sun. Because planets are closer to the sun, their gravitational pull is greater, resulting in a faster orbital speed for them.
The planet nearest the sun in the solar system is Mercury. Due to its proximity to the sun, it orbits at a speed of around 48 km/s, making it the fastest planet in the solar system, with an orbital period of 88 Earth days.
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The Hayashi track is a nearly vertical evolutionary track on the H-R diagram. What does the vertical nature of this track tell you about a protostar as it moves along it?
a. The star remains the same brightness.
b. The star remains the same luminosity.
c. The star remains the same color.
d. The star remains the same size.
The vertical nature of the Hayashi track on the H-R diagram So, the correct answer to the question is b. The star remains the same luminosity.
Indicates that as a protostar moves along this track, its temperature remains roughly constant while its luminosity increases. This is because during the early stages of a star's evolution, it is powered by the release of gravitational potential energy as it contracts. As the protostar contracts, its interior becomes denser and hotter, and it emits more radiation, causing its luminosity to increase. However, the protostar remains relatively cool on the Hayashi track because it is still surrounded by a thick envelope of gas and dust that traps most of the radiation produced by the star's interior. This results in the star having a nearly constant temperature, and therefore a nearly constant color, as it moves vertically along the Hayashi track.
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?course_assessment_id=_192597_ Remaining Time: 23 minutes, 45 seconds. * Question Completion Status: Moving to the next question prevents changes to this answ
The relationship between the speed of light and the refractive index of a medium is essential in understanding the propagation of light in different materials.
The refractive index (n) of a medium is defined as the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v). Mathematically, n = c/v. When light passes through a medium, it slows down due to interactions with atoms or molecules in the material, resulting in a decrease in speed compared to its velocity in a vacuum. The refractive index determines how much light is bent or refracted as it enters a different medium, impacting phenomena like refraction, reflection, and dispersion. This relationship plays a crucial role in various applications, such as optics, telecommunications, and the study of wave behavior in different media.
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--The complete Question is, What is the relationship between the speed of light and the refractive index of a medium, and how does it affect the propagation of light in different materials?--
what are the musical instrument of liturgy and devitional music.
help me plssss
Answer: A hymn which accompanies religious observances and rituals. And others like guitar, violin, flute, harp and the organ
Explanation: Gradually people instructed the natives not only in singing but also in playing various instruments like guitar, violin, flute, harp and later on, the organ.
A standing wave is created through the interaction of many traveling waves. The name given to a stationary point along a standing wave is
Nodes or antinodes wave is created through the interaction of many traveling waves. Where the wave's amplitude is 0 is referred to as a node. Antinodes are the points in between two neighboring nodes when the amplitude (positive or negative) is at its highest.
In a body of water, two or more progressive waves that are propagating in opposite directions combine to form both features. An antinode, or location where the standing wave's amplitude is at its greatest, is the opposite of a node. These are situated in the middle of the nodes. The amplitude is at its greatest at antinodes.
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What are the 3 main approaches to the identification of unknown bacteria?
The three main approaches to the identification of unknown bacteria are as follows:Phenotypic identification, Molecular identification and Biochemical identification
What is Phenotypic, Molecular and Biochemical identification?1. Phenotypic identification
Phenotypic identification involves the physical and chemical characteristics of the bacterial colonies and cells. In this method, bacterial cells are studied through microscopy, their ability to grow on various types of media, cellular morphology, and other factors that are easy to observe.
2. Biochemical identification
Biochemical identification is based on the biochemical reactions of bacteria. This method involves the use of different chemical and biochemical tests to identify the bacteria. The tests are designed to identify specific enzymes or metabolic pathways. The results of the tests are then used to identify the bacteria.
3. Molecular identification
Molecular identification involves the use of DNA analysis to identify bacteria. In this method, the DNA of the bacterial cells is isolated and analyzed. This method has become popular in recent years due to its accuracy and speed.
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The energy the earth receives from the sun in one hour is enough energy to meet worldwide demand for how long?.
The energy the earth receives from the sun in one hour is enough energy to meet worldwide demand for a year
It is possible to change the form of energy. For instance, the body of a person can store chemical energy from food until that person uses it as kinetic energy during labor or play. The kinetic energy of moving water in rivers and the chemical energy held in coal and natural gas can be turned to electrical energy, which can then be transferred to light and heat.
In terms of working energy, these can be classified into two categories:
potential or reserve power
working force or kinetic energy
Energy is the potential for doing labour. Modern civilisation is made possible by the capacity to convert energy between different forms and use it to complete activities. People use energy to move around on foot and by bicycle, operate cars on land and in the sea, cook food on stoves, make ice in freezers, light up our homes and offices, make things, and send people into space.
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18 to determine the freezing level and areas of probable icing aloft, you should refer to
To determine the freezing level and areas of probable icing aloft, you should refer to the Area Forecast. The Area Forecast is a weather forecast that provides detailed information about the weather conditions that are expected to occur in a specific area.
The Area Forecast includes information about the temperature, wind, precipitation, and icing conditions that are expected to occur.
The freezing level is the altitude at which the temperature falls below freezing. Icing is the accumulation of ice on an aircraft's structure. Icing can be a serious hazard to aircraft, and it is important to be aware of the freezing level and areas of probable icing when planning a flight.
The Area Forecast can be found on the National Weather Service website. The Area Forecast is updated every 6 hours, and it is a valuable tool for pilots who are planning a flight.
Here are some additional tips for avoiding icing:
Avoid flying in areas where the freezing level is forecast to be below 10,000 feet. Avoid flying in areas where there is a forecast for thunderstorms or widespread precipitation. If you must fly in an area where icing is possible, be sure to fly at an altitude that is above the freezing level. If you encounter icing, descend to an altitude that is above the freezing level.Turn on your deicing and anti-icing systems.
Be aware of the signs of icing, such as a loss of power and control.If you are unsure about the weather conditions, it is always best to consult with a flight service specialist.
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!!!!!PLEASE ANSWER CORRECTLY!! I DESPERATLY NEED HELP!!!!!
Answer:
b
Explanation:
Suppose the Universe is 14 billion years old. If we observe a galaxy 10 billion light years away, how old was the Universe at the time the light we see left that galaxy
When the light from a galaxy 10 billion light years away leaves our galaxy, the universe is 4 billion years old.
What age was the universe when the light we see departed that galaxy?
According to estimates, the universe is 14 billion years old.The universe is an enormous area containing everything known and unknown to humankind. It includes planets, stars, galaxies, and all of the dark matter. If we observe a galaxy 10 billion light years away, we may estimate the age of the universe at that time to be 4 billion years. This is because it takes light 10 billion years to travel from that galaxy to our planet. Hence, the light from that galaxy we see today took 10 billion years to reach us. The age of the universe when the light we see left that galaxy was 4 billion years.Learn more about the galaxy:
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the choices below each describe the appearance of an h-r diagram for a different star cluster. which cluster is most likely to be located in the halo of our galaxy?
The cluster that is most likely to be located in the halo of our galaxy is the diagram that shows main-sequence stars of every spectral type except O, along with a few giants and supergiants.
What are star clusters?Star clusters are large collections of stars. Star clusters are classified into two types: Globular clusters are gravitationally bound groups of tens of thousands to millions of old stars.
Because of their location on the dusty spiral arms of spiral galaxies, they are sometimes referred to as galactic clusters. Stars in an open cluster share a common ancestor as they all formed from the same massive molecular cloud.
A typical spiral galaxy has a faint, extended stellar halo. A stellar halo is an essentially spherical population of stars and globular clusters thought to surround most disk galaxies and the cD class of elliptical galaxies. It should be noted that a halo is a spherical cloud of stars surrounding a galaxy. Astronomers have proposed that the Milky Way's halo is composed of two populations of stars.
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Why is an object’s mass, rather than its weight, used to indicate the amount of matter it contains?.
An object's mass rather than its weight is used to indicate the amount of matter it contains because weight is defined as the amount of force experienced by a body. The weight of a body can be different as it depends on where and under what conditions it is kept.
However mass is the measure of the amount of matter contained in a body and it is always constant.
Weight is defined as the amount of force exerted on a body by a moving gravitational field or any other field at the surface of the earth. It is measured in Newton (N)
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Heeeelllllllpppp I need this right now
Which type of friction acts on an object that is not moving?
O static fluid
O fluid friction
O sliding friction
O rolling friction
The friction which acts on the object that is not moving is static friction, so, option A is correct.
What is friction?Between two surfaces that are sliding or attempting to slide over one another, there is a force called friction. For instance, friction makes it challenging to push a book down the floor. Friction always moves an object in a direction that is counter to the direction that it is traveling or attempting to move.
Static friction is 0 for an object at rest on a level surface. Static friction generates an equal and opposite force that holds the book at rest if you push horizontally with a small force.
The static friction force grows to meet the force as you push harder. The book eventually moves when the maximum static friction force is reached.
Thus, the friction is static.
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Newton's law of universal gravitation, the law of conservation of mass, the law of superposition, and the laws of thermodynamics are all examples of scientific laws because..
A.
they have been modified repeatedly over time.
B.
they have been approved and accepted by congress.
C.
there are no exceptions to these laws under specific stated conditions.
D.
they are found in science textbooks.
Answer:
D
Explanation:
There are no exceptions to these laws under specific stated conditions..
The laws of science are statements that describe or predict a range of phenomena as they appear in nature. Laws explain facts determined by experiment. Laws do not have absolute certainty and be changed by future experiments and observations.
Answer:
there are no exceptions to these laws under specific stated conditions.
Explanation:
There are no exceptions to scientific laws under certain stated conditions. This is the main factor that distinguishes scientific theories from scientific laws.
Both scientific theories and laws are based on extensive observations, experimentation, and reasoning, but scientific theories are subject to change over time as new technology is invented and new evidence emerges.
Does the shape of a skateboard affect how will travel?
Answer:
Yes
Explanation:
The shape will affect the friction and the way the skateboard moves.
during volleyball practice a volleyball is tossed over a net, starting from a height of 1.5 meters above the ground. after reaching the top of its trajectory it returns to its original height as it falls. how does the motion of the ball at the top of its trajectory compare to its motion as it passes its original height?
When a volleyball is tossed over a net, starting from a height of 1.5 meters above the ground, where after reaching the top of its trajectory it returns to its original height as it falls, the ball's speed is the same as when it was tossed, but its velocity is different.
As ball 1 gets to the top of its trajectory, its velocity becomes zero.
since not stated otherwise, we assume that both balls have the same properties
If ball 2 is released at this instance, then they both will travel down at the same time interval and have initial velocity as zero.
since vertical travel is downwards, then acceleration due to gravity g is positive for both balls.
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