The horizontal velocity of the golf ball as it rolled off the table was 4.82 m/s.
We can solve this problem using the kinematic equations of motion for constant acceleration, assuming that the only acceleration acting on the golf ball is due to gravity. We can break the motion of the golf ball into two components; a horizontal component and a vertical component.
Let's start with the vertical component of the motion. The vertical distance the golf ball falls from the desk to the ground is 1 meter. We can use the following kinematic equation to find the vertical component of the velocity of the golf ball just before it hits the ground;
d = vit + 1/2 at²
where d is the distance fallen, vi is the initial vertical velocity (which is zero), a is the acceleration due to gravity (-9.81 m/s²), and t is the time it takes to fall 1 meter.
Solving for t, we get;
t = √(2d/a) = √(2 × 1 m / 9.81 m/s²)
= 0.451 s
Now that we know the time it takes for the golf ball to fall 1 meter, we can use the horizontal distance it travels (1.35 meters) and the time it takes to fall (0.28 seconds) to find the horizontal component of the velocity:
v = d / t = 1.35 m / 0.28 s
= 4.82 m/s
Therefore, the horizontal velocity of the golf ball is 4.82 m/s.
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8. A 0.45 kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.3 m on a frictionless horizontal surface. If the cord will break when the tension in it exceeds 75 N, what is the maximum speed the ball can have?
A 0.45 kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.3 m on a frictionless horizontal surface. If the cord will break when the tension in it exceeds 75 N, the maximum speed the ball can have is 15.1 m/s
The tension in the cord is provided by the centripetal force required to keep the ball moving in a circle. This force can be calculated using the equation:F = mv^2/r
where F is the centripetal force, m is the mass of the ball, v is its speed, and r is the radius of the circle.If the tension in the cord exceeds 75 N, the cord will break. Therefore, we can set F equal to 75 N and solve for v:
75 N = (0.45 kg) * v^2 / 1.3 m
v^2 = (75 N * 1.3 m) / 0.45 kg
v^2 = 227 m^2/s^2
v = sqrt(227 m^2/s^2) = 15.1 m/s.
Therefore, the maximum speed the ball can have is 15.1 m/s.
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a 75 kg student dives off a 30-m-highbrudge with an 18-m-long bungee cord tied to his feet and to the bridge. a bungee cord is essentially a flexible spring.
The spring constant of the bungee cord must be approximately 62.6 N/m for the student's lowest point to be 2.0 m above water.
To determine the spring constant of the bungee cord, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.
The potential energy due to gravity is given by mgh, where m is the mass of the student (75 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the bridge (30 m).
The potential energy stored in the spring is given by (1/2)kx^2, where k is the spring constant and x is the displacement of the bungee cord (30 m - 2 m = 28 m).
The total potential energy is given by mgh + (1/2)kx^2.
Setting the total potential energy equal to the potential energy at the lowest point of the jump (2 m above water), we can solve for k.
Solving for k gives us k = (2mgh)/(x^2).
Plugging in the given values, we have k = (2 * 75 kg * 9.8 m/s^2 * 30 m) / (28 m)^2.
Evaluating this expression gives us k ≈ 62.6 N/m.
Therefore, the spring constant of the bungee cord must be approximately 62.6 N/m for the student's lowest point to be 2.0 m above water.
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Complete question:
A 75 kg student dives off a 30-m-high bridge with an 18-m-long bungee cord tied to his feet and to the bridge. A bungee cord= flexible spring. What spring constant must the bungee cord have for the student's lowest point to be 2.0m above water?
I
NEED THIS ASAP. THANK YOU
Determine the maximum possible efficiency of an automobile engine with an exhaust temperature of 120°C, and the temperature of the burning gas in the engine is 620 °C. 0.66 0.36 0.56 0.46
The maximum possible efficiency of an automobile engine with an exhaust temperature of 120°C and a burning gas temperature of 620°C is 0.46, which corresponds to Option D.
The efficiency of an engine is determined by the Carnot efficiency formula, which is based on the temperatures of the hot reservoir (temperature of the burning gas) and the cold reservoir (exhaust temperature). The maximum efficiency is achieved when the engine operates as a Carnot engine.
Using the Carnot efficiency formula:
Efficiency = 1 - (Tc / Th)
Where Tc is the temperature of the cold reservoir (exhaust temperature) and Th is the temperature of the hot reservoir (burning gas temperature).
Plugging in the given values:
Efficiency = 1 - (120°C / 620°C) = 1 - 0.1935 ≈ 0.8065 ≈ 0.46 (rounded to two decimal places)
Therefore, the correct answer is Option D, 0.46, representing the maximum possible efficiency of the automobile engine.
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Which statement correctly represents the law of the conservation of mass?
F. The number of atoms on the reactants side is more than the number of atoms on the product side.
G. The number of atoms on the reactant side is less than the number of atoms on the product side.
H. The number of atoms on the reactant side equals the number of atoms of the product side.
J. The number of atoms on the reactant side is double the number of atoms on the product side.
Answer:
The statement H is the correct one: The number of atoms on the reactant side equals the number of atoms on the product side.
Explanation:
The law of conservation of mass states that mass can not be created or destroyed, just can be transformed. The mass of a system can not be added or removed, thereby the transfer of mass in a reaction must remain constant.
This implies that the mass of the molecules on the side of the reactants before the reaction must be equal to the mass of the atoms on the side of the products after the reaction.
Therefore, the statement H is the correct one: The number of atoms on the reactant side equals the number of atoms on the product side.
I hope it helps you!
47. explain why the abundances of heavy elements in stars correlate with their positions in the galaxy.
The presence of heavy elements in stars correlates with their positions because these elements show which star formed first, and a star's brightness and spectral type show where it is in the galaxy.
Heavy elements are present in population I stars. It is concentrated in the discs of spiral galaxies and typically contains the sun. It is also hot, youthful, and brilliant. The majority of them are found in spiral arms. In globular clusters and the outer galactic halo, where the concentration of heavy elements is relatively low, population II stars are born. The important information to compare the locations of the stars is therefore their abundances of heavy metals. Energy must be added in order for elements heavier than iron and nickel to develop.
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the emotion that occurs more often to more drivers is
The emotion that occurs more often to more drivers is frustration.
What is frustration? Frustration is a feeling of dissatisfaction, displeasure, and discontent that arises as a result of an inability to fulfill a need or a goal. In driving, frustration is a common emotional state that occurs when a person is prevented from driving at their preferred pace, or when a person experiences unexpected events while driving, such as traffic jams or sudden accidents. Frustration may be caused by a variety of factors, including:
Driving conditions: Poor weather conditions or heavy traffic, for example, can be stressful and frustrating for drivers.Road rage: Aggressive driving, tailgating, and other reckless behavior on the road may contribute to frustration in other drivers.Inattention: Drivers who are distracted or preoccupied may become frustrated and irritated more easily, particularly when they encounter unexpected situations.Inconvenience: Road construction, detours, and other delays can cause frustration in drivers who are in a hurry to reach their destination.Learn more about emotions: https://brainly.com/question/6450214
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the goose has a mass of 22.6 lb (pounds) and is flying at 11.1 miles/h (miles per hour). what is the kinetic energy of the goose in joules? enter your answer numerically in joules.
the goose has a mass of \(22.6 lb\) (pounds) and is flying at \(11.1\) miles/h (miles per hour). The kinetic energy of the goose in joules is \(5858.7 J\) .
What is energy ?Energy is the capacity to do work. It is the ability to move an object from one place to another or to cause a change in the object. Energy comes in many forms, including mechanical, electrical, chemical, thermal, and nuclear. Energy can be converted from one form to another, and it can also be stored and released. Energy is vital to many everyday activities, and it is necessary for the functioning of countless systems and processes. Humans have harnessed energy from the environment in various ways since the dawn of civilization. Today, energy sources such as fossil fuels, nuclear power, solar power, and hydropower are widely used to meet our energy needs.
The kinetic energy (KE) of an object is equal to its mass multiplied by the square of its velocity, divided by two.
KE = (mass× velocity2) \(/\) \(2\) =\((22.6lb* (11.1 mi/h)2) / 2\)\(=\)\((22.6 lb * 123.21 mi2/h2) / 2\) =\((2796.186 lb mi2/h2) / 2\) = \(1398.093 lb mi2/h21 lb mi2/h2 = 4.214 J\)
KE = \(1398.093 lb mi2/h2 * 4.214 J5858.7 J\)
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All of the following statements about the cosmic microwave background radiation are true, except for which one?
The shape of the spectrum from this radiation (black body curve) yields a temperature of 2.7K
The radiation comes from all directions in space.
It gives us clues to the age, content, and evolution of the universe up to few hundred-thousand years after the big bang.
The radiation comes from the center of the explosion of the big bang and it is hoped that it will tell us where in the universe the big bang actually occurred.
It was released when the universe was cool enough that atoms could form.
All of the statements about the cosmic microwave background radiation (CMB) are true except for the statement: "The radiation comes from the center of the explosion of the big bang, and it is hoped that it will tell us where in the universe the big bang actually occurred."
The cosmic microwave background radiation is a pervasive form of radiation that fills the entire universe. It is not localized to a specific point or direction in space, so it does not come from the center of the explosion of the big bang. Instead, it is observed uniformly in all directions.
The CMB is considered the remnant radiation from the early universe, specifically from a time called recombination when the universe cooled down enough for neutral atoms to form. Prior to recombination, the universe was hot and dense, consisting of a plasma of charged particles that effectively scattered photons. However, as the universe expanded and cooled to a certain point, protons and electrons combined to form neutral hydrogen atoms, allowing photons to travel freely without being scattered. The CMB represents the light that was emitted at this pivotal moment and has been traveling through space ever since, gradually redshifting over billions of years.
The CMB provides important insights into the early universe. Its spectrum corresponds to a nearly perfect black body curve, with a temperature of approximately 2.7 Kelvin. This temperature measurement is consistent with the idea that the CMB originated from the recombination era, around 380,000 years after the Big Bang. By studying the CMB, scientists can gather valuable information about the composition, age, and evolution of the universe during its early stages, including the fluctuations that eventually led to the formation of galaxies and large-scale structures.
However, the CMB itself does not reveal the precise location or point of origin of the Big Bang. It provides valuable clues about the early universe but does not directly tell us where the Big Bang occurred within the universe. The Big Bang is generally understood to have occurred uniformly throughout space, initiating the expansion of the universe as a whole.
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PLEASE HELP!!!! i will give brainliest to the first person...
Answer: Fossil fuels power the machine that shakes the tree so the apples fall to the ground
Explanation: most machines are powered by fossil fuels
What happens more on Earth, physical or chemical changes?
Chemical changes happens more on earth because, every living as well as non living things are under going some chemical changes day to day.
What are chemical changes ?Chemical changes involves the formation or breaking of chemical bonds that leads to a new product. Whereas, physical changes does not involves any change in chemical bonds. Phase change, change in size, shape etc. are physical changes.
For example rusting of iron is the formation of red iron oxide by the reaction of iron with oxygen from air or water. This oxide will spread over the surface of the metal and eventually gets corroded. This is a chemical change where a new product is formed.
The photosynthesis, and all biological process taking place every day in all living things are chemical changes. Similarly, non-living things as well undergoing similar changes by their reactivity towards air, water etc.
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Physical changes happens more on earth.
What are physical and chemical changes?Physical changes are reversible and do not produce a new substance. Chemical changes result in the production of a new substance and cannot be reversed.
Given terms,
Physical and Chemical changes on earth on Earth,
Earth has about 71 percent on the Earth's surface, and the oceans hold about 96.5 percent of all Earth's water.
which undergoes through physical change during whole water cycle,
Hence, On earth physical changes happen more.
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PLEASE ANSWER THIS ASAP THIS IS A SCIENCE QUESTION NO LINKS
Answer:
I believe the answer would be kinetic energy to thermal energy.
Explanation:
Thermal energy is the heat of the brakes, and the kinetic energy would be when the car is in motion before stopping.
what kind of intermolecular force is H2O
Answer: H2O has hydrogen bonds, dipole-induced dipole forces, and London dispersion forces.
Explanation:
Answer:
The H2O water molecule is polar with intermolecular dipole-dipole hydrogen bonds. As the water molecules attract each other and form bonds, water displays properties such as high surface tension and a high heat of vaporization
Which statements about water are true? Choose more than one answer.
Water molecules have no subatomic particles
Water does not appear on the periodic table of elements
Water molecules contain a lot of empty space
Molecules of water cannot be broken apart
Hydrogen and oxygen have different properties when separated
Every molecule of water contains two atoms of oxygen
water is not found in the periodic table.
water has a lot of empty space.
I think that's it I know those to are true.
The statements that are true about water are as followings,
Water does not appear on the periodic table of elements.
Water molecules contain a lot of empty space.
Hydrogen and oxygen have different properties when separated.
Therefore the correct options are options B, C, and E.
What is a Chemical compound?A chemical compound is a combination of two or more either similar or dissimilar chemical elements.
For example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.
The periodic table contains only elements therefore water cannot be found on the periodic table , oxygen and hydrogen would have different properties when separated.
Thus , the correct options are B, C, and E.
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How do you find the force of a ping-pong ball rolling down a track?
Answer:
Weight
a) weight's vertical component = Normal upward force
b) weight's horizontal component = Friction force = (mass of ball)(acceleration)
These forces depend upon the track,
1) inclined or horizontal
2) steepness.
Explanation
The force of gravity points straight down, but a ball rolling down a ramp doesn't go straight down, it follows the ramp. Therefore, only the component of the weight which points along the direction of the ball's motion can accelerate the ball.
weight's horizontal component = Friction force = (mass of ball)(acceleration)
The other component pushes the ball into the ramp, and the ramp pushes back.
If the ramp is horizontal, then the ball does not accelerate, as gravity pushes the ball into the ramp and not along the surface of the ramp. Hope this helps. Can u give me brainliest
Explanation:
i'll mark brainly for the right answer!
Which statement about Soybeans not true.
Soybeans have a lot of protein
Soy milk almost has a much protein as dairy milk
It has more protein per ounce than beef steak
Its in the vegetable food group
It has a type of "plant" estrogen
Answer:
It's in the vegetable food group
Explanation:
It's false, they're considered yo be part of the protein food group
help me find the series with images included! thank you
b. We can Connect 3 cells in series to 3 lamps in parallel and place an ammeter on the circuit to measure the current through one of the lamps.
The image is attached.
c. In this connection, we creates a series connection where the current flowing through each component is the same.
How do we connect?the two cells' positive and negative terminals must be connected in order to complete the circuit. As a result, a parallel connection is formed where the overall current capacity rises while the voltage across each cell stays the same.
The positive terminal of the first light would be connected to the negative terminal of the second lamp in order to link the two lamps and a motor in series. The second lamp's positive terminal would then be connected to one of the motor's terminals. Finally, you would attach the other motor terminal to the first lamp's negative terminal.
This establishes a series connection in which each component receives the same amount of current.
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which unit of electricity measures electrical force and 115 is a common value
The unit of electricity that measures electrical force is the volt (V). The volt is named after the Italian physicist Alessandro Volta, who is credited with inventing the first battery. It is the SI unit for electric potential difference and electromotive force.
In electrical systems, voltage represents the amount of potential energy per unit charge. It measures the force or pressure that drives electric current through a circuit. When a voltage difference exists between two points in a circuit, it causes the flow of electrons, creating an electric current.
A common value of 115 volts (115 V) refers to the standard voltage level used in many residential and commercial electrical systems. In countries such as the United States, Canada, and Mexico, the standard household voltage is 120 volts (120 V) with a nominal value of 115 V. This voltage level is compatible with most household appliances and devices.
The 115 volts supply is achieved through a distribution network where power is generated at higher voltages and then stepped down through transformers to a lower voltage for consumer use. This lower voltage is safe for most electrical devices and ensures efficient operation while minimizing the risk of electrical shock.
It is important to note that different countries may have different standard voltages. For example, in some European countries, the standard household voltage is 230 volts (230 V). The specific voltage requirements and regulations vary worldwide, and it is essential to adhere to the local electrical standards to ensure safe and reliable electrical installations.
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In order to calculate a planet's orbital period, we must know the Choose one: A. tilt of the planet's axis B. radius of the planet. C. dimensions of its orbit. D. velocity of the planet.
In order to calculate a planet's orbital period, we must know the dimensions of its orbit. The correct answer is C.
To calculate a planet's orbital period, we need to know the dimensions of its orbit, specifically the semi-major axis. The semi-major axis is the average distance between the planet and its parent star (assuming a circular or nearly circular orbit). The orbital period of a planet is determined by its distance from the star and the mass of the star.
The tilt of the planet's axis (option A) affects the planet's seasons but does not directly impact its orbital period. The radius of the planet (option B) is not directly related to its orbital period either. The velocity of the planet (option D) can vary along its orbit, but it is not sufficient on its own to calculate the orbital period. Hence the correct answer is C.
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The long, light-colored lines extending from many craters on the Moon are called rays and are ______.
Answer:
The long, light-colored lines extending from many craters on the Moon are called rays and are "crater rays".
Explanation:
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Someone please help me! Please help
Answer:
Explanation:
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Find the wavelength of a sound moving in air at 43.2 m/s and that has a frequency of
2.11 hz.
a. 20.47
b. 91.152
c. 0.0488
d. 177.35
please help!!
Answer:
a.) 20.47 mExplanation:
Here we are given sound moving in air at 43.2 m/s and that has a frequency of 2.11 hz and we need o calculate the Wavelength.
Using formula:
\( \\ \: \: \longrightarrow \: \: \:{ \underline{ \boxed{ \sf Frequency = \dfrac{Wave \: speed}{Wave \: length}}}} \\ \)
Where,
Frequency = 2.11 HzWave speed = 43.2 m/sOn Substituting the values, we get:
\(\\ \sf \: \: \: \longrightarrow \: \: \: 2.11 = \dfrac{43.2}{Wave \: Length} \\ \\ \\ \sf \: \: \: \longrightarrow \: \: \:Wave\: Length = \frac{43.2}{2.11} \\ \\ \\ \sf \: \: \: \longrightarrow \: \: \:{ \pink{ \underline{Wave \:Length = 20.47 m}} }\\ \\ \)
Hence,
Wavelength of a sound moving in air is 20.47 m\(\large\boxed{\bold{Formula: λ= \frac{v}{f}}}\)
In this question all the values are given so we'll simply have to substitute the values and solve.
Let's solve!
We'll have to divide the velocity or speed by the frequency.
Substitute the values according to the formula.
\( λ= \frac{43.2}{2.11}\)
Calculator answer:
\(\bold{λ= 20.47393365 \: m}\)
Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.
Final answer:
\(\large\boxed{\bold{λ= 20.47 \:m}}\)
Therefore, the wavelength is 20.47 meter.
Answer: Option A
Vitalpando Winery wants to raise $30 million from the sale of preferred stock. if the winery wants to sell one million shares of preferred stock, what annual dividend will it have to promise if inverstor demand a return of
a. 11% ?
b. 15%?
c. 8% ?
d. 10%?
e. 6% ?
f. 3% ?
Vitalpando Winery will need to promise an annual dividend of $330,000 if investors demand a return of 11% on their preferred stock. The dividend amounts for the other required return rates are as follows: $450,000 for 15%, $240,000 for 8%, $300,000 for 10%, $180,000 for 6%, and $90,000 for 3%.
To determine the annual dividend required to satisfy the investors' demands for different return rates, we need to multiply the number of shares by the desired return rate. In this case, the winery wants to sell one million shares of preferred stock.
For option (a), where the desired return rate is 11%, the calculation would be: $30,000,000 (total funds required) multiplied by 0.11 (11% expressed as a decimal) divided by 1,000,000 (number of shares). This results in an annual dividend of $330,000.
Similarly, for the other return rates, the calculations are as follows:
(b) $30,000,000 x 0.15 / 1,000,000 = $450,000
(c) $30,000,000 x 0.08 / 1,000,000 = $240,000
(d) $30,000,000 x 0.10 / 1,000,000 = $300,000
(e) $30,000,000 x 0.06 / 1,000,000 = $180,000
(f) $30,000,000 x 0.03 / 1,000,000 = $90,000
Therefore, the annual dividends required to satisfy the investors' demands for the different return rates are as stated above.
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a cluster of galaxies is observed to have a recessional velocity of 60,000 km/s. find the distance to the cluster, assuming a hubble constant of 72 km/s per mpc (1 mpc
On the basis of a hubble constant approximately 72 km/s per mpc, D is equal to 833.33 to the cluster.
The Hubble constant is what?In cosmology, the Hubble characteristic is a constant of proportionality that describes the relationship between it velocities of far-off objects and their lengths. It conveys the rate of the universe's expansion. most latest accurate measurements of distant objects' motions and distances.
Does Hubble's Constant exceed the speed of light?The region whereby the galaxies are moving away from each other faster than the speed of light is known as the Hubble sphere, after Edwin Hubble who found the universe was expanding back in the 1920s. Because they light is more red than it should be, they are almost all moving away from us, which is how we know.
Hubble constant = Mpc
= 60,000 / 72
D = 833.33
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An electic bulb is rated 60W, 220V. Calculate the resistance of its filament when it is operating normally.
Answer:
Explanation:
We have to use the equation p = I^2 x R. But we do not have the current.
To work out the current, we look at what we have. We have the voltage and power, therefore we will use the equation P = IV and rearrange to find the current.
I = P/V
I = 60/220
I = 0.2727272727 or round it to 2 dp to get = 0.27
we now have to rearrange the first equation to find the resistance.
R = P/I^2
R = 60/0.2727272727^2
R = 806.6666665501
R = 807 ohms (3sig)
The resistance of the filament is 806.67 ohms.
Electrical power is defined as the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is Watt, 1 joule per second ( 1J/S).
The formula of electrical power is
P = V^2/R
where,
P = power
V = volts
R = resistance
from the above formula
60 = 220x220/R
R = 220x220/60
R = 806.67
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John has gradually added time to his running routine to reach his goal of running a 5k. John has reached his goal of running a 5k without stopping. This achievement is an example of
Answer:
pursuing a goal
Explanation:
Since there are no answer choices provided I would say that this is an example of pursuing a goal. This is basically all of the tasks and struggles that an individual must go through in order to finally achieve a certain goal. It also involves gradually breaking barriers and pushing forward by increasing the complexity of the tasks until you are able to break through all of them to reach the end-goal that you have been striving for. Which is exactly what John has been doing in this scenario by gradually increasing his running time.
Cold packs are designed to become very cold when activated. When the pack is activated, a chemical reaction occurs to make the temperature of the cold pack decrease. What must be true of this chemical reaction? (2 points) The reaction releases energy to its surroundings. The reaction releases energy to its surroundings. The products and reactants have the same amount of energy. The products and reactants have the same amount of energy. The products have less energy than the reactants. The products have less energy than the reactants. The reaction absorbs energy from its surroundings.
Answer:
The reaction absorbs energy from its surroundings.
Explanation:
An endothermic reaction is any reaction in which energy is absorbed by the reaction system.Thus implies that energy is withdrawn from the environment A cold pack's function is based on an endothermic chemical reaction.
The absorption of energy by the reaction system means that the environment feels cool in an endothermic reaction.This manifests in a decrease in the temperature of the cold pack.
light from an object passes throug two lenses. the magnification of the image produced by the first lens is m1. this image acts as the object for the second lens, which produces an image of magnification m2. what is the overall magnification of the final image relative to the object?
The overall magnification of the final image relative to the object m1m2
Magnification is the process of increasing the apparent size of something rather than its physical size. This increase is quantified by a calculated number, also called the "factor". If this number is less than 1, it means size reduction, sometimes called size reduction or reduction.
The term magnification refers to the size of the image produced by the lens compared to the size of the object. For lenses: Magnification "m" is the ratio of image height to object height. The magnification of a lens is defined as the ratio of image height to object height. It is also given by image distance and object distance. equal to the ratio of image distance to object distance.
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Describe how rainforests are more diverse than arctic ecosystems. Give examples of ecological diversity, species diversity, and genetic diversity.
Answer:
Rainforests contain around 50% of all life on Earth and only take up 6% of the Earths surface area. It contains more species of plant and animals than any other ecosystem. It's climate and geography lend it to growing more plant life which sustains many small animals. The arctic is inhospitable to most species because of the extreme cold. It's food webs do not sustain themselves well as there are fewer species at the bottom the the chain. The genetic variations are greater at the equator than the arctic giving the organisms a greater chance to survive.
Rainforests are far more diverse than arctic ecosystems because of the amount of sunlight and the rain it receives throughout the year.
What are biomes?
Biomes can be defined as regions specified by particular biological and geographical communities that evolved because of the shared regional climate of that region.
Generally, there are mainly five major types of biomes those are forest desert grassland aquatic, and tundra.
Even though they only cover 6% of the planet's surface, rainforests are home to about 50% of all living. More plant and animal species may be found there than in any other habitat.
The high temperature of the arctic makes it uninhabitable for the majority of creatures. Because there are fewer species at the base of the food chain, its food webs are unable to support themselves.
Because there are more genetic variants around the equator than in the north, species there has a better chance of surviving.
Thus, rainforests are far more diverse than arctic ecosystems.
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A charged, parallel-plate capacitor is isolated. If the distance separating the plates of the capacitor decreases to half the original distance, what happens to the magnitude of the electric field between the two plates?
Hi there!
Recall the following:
\(C = \frac{Q}{V}\)
C = Capacitance (F)
Q = Charge (C)
V = Potential difference (V)
The equation for the capacitance of a parallel-plate capacitor:
\(C = \frac{\epsilon_0 A}{d}\)
C = Capacitance (F)
ε₀ = Permittivity of Free Space
A = Area of plates (m²)
d = distance between plates (m)
If the distance is halved, the capacitance will DOUBLE since there is an inverse relationship between capacitance and distance.
Thus, something has to change in regards to the charge or voltage for it to match the doubled capacitance.
Since the capacitor is ISOLATED, it is not connected to a battery, so the voltage is NOT maintained constant. The VOLTAGE will consequentially be changed, while the electric field will be unchanged.
Recall the equation for potential difference:
\(V = Ed\)
If the distance is halved, the voltage will be halved. This is mirrored by the doubled capacitance. Thus, the electric field will remain the SAME.
What does an increases in concentration do to a material?
Answer:
it will increase the frequency of collisions between the two reactants
Explanation:
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