Final answer:
In mathematics, when y decreases as x increases, they have an inverse relationship, which is a type of negative correlation where variables move in opposite directions.
Explanation:
If y gets smaller as x gets bigger, y and x have an inverse relationship. In an inverse relationship, when one variable increases, the other variable decreases. An example of this is the equation y = k/x, where k is a constant number. This illustrates that as x gets larger, y gets smaller, assuming k is a positive value. Conversely, as x becomes smaller, y becomes larger, which is often described as y being inversely proportional to x. An inverse relationship is a specific type of negative correlation where the two variables move in opposite directions.
It should not be confused with a positive correlation, where both variables change in the same direction, either both increasing or both decreasing. A positive value of r, the correlation coefficient, indicates a positive correlation, signifying that as x increases, y also tends to increase. Conversely, a negative value of r would suggest an inverse relationship.
An important aspect to consider is the rate of change in non-linear relationships, where the size of the change in x affects the measured change in y. This is different from linear relationships, where equal increments in x result in consistent changes in y. Therefore, for inverse relationships, large changes in x can result in rapidly diminishing values of y as x propagates towards infinity.
A drag racer starts from rest and accelerates at 7.4 m/s2. How far will he travel in 2.0 seconds?
Try this solution:
1. rule for this type of movement:
[tex]S=v_0t+\frac{at^2}{2}, \ where \ a-acceleration,S-distance,v-startSpeed,t-time.[/tex]
2. according to the rule described above:
[tex]S=0+\frac{7.4*2^2}{2}=7.4*2=14.8(m)[/tex]
answer: 14.8 meters.
A frame hanging on a wall is held by two cables. The tension in each cable is 30 N, and the cables make an angle of 45° with the horizontal, as shown in the picture. What is the weight of the frame?
A) 10.2 N
B) 21.2 N
C) 32.4 N
D) 42.4 N
Answer:
(D) 42.4N
Explanation:
Since the frame is at rest, the net force acting on it must be 0. There are three forces acting on it: the gravity and the opposing forces of the two cables.
Since the gravity is a vertical force, we are only interested in the vertical components of the remaining forces. The net force equation is
F_net = 0 = F_g -2 * F_y
The vertical force of one cable (using the information in the drawing) is:
F_y = 30N * sin 45 deg = 21.21N
Now the weight can be determined:
0 = F_g - 2 * F_y
F_g= 2 * F_y = 2 * 21.21N = 42.4N
The weight of the frame is about 42.4N.
Vector:T₁+T₂+F=0 , you put the vectors where you need, on the site I'm not going to put them
We design the relationship on the vertical axis Oy:
T₁sinα+T₂sinα=0
T₁=T₂=>2Tsinα=0
We design the relationship on the horizontal axis Ox :
2Tcosα-F=0=>F=2Tcosα=2*30*√2/2=30√2=42.4 N
The right answer is D
The pitch made by a musical instrument is dependent on the frequency of the wave. Frequency is the inverse of period. What impact do you think the frequency of a wave has on the wave speed?
I think the frequency of the wave has no effect whatsoever on the wave speed. The speed of a wave completely depends on the characteristics of the medium it's traveling through.
Physical properties of the medium determine the speed of mechanical waves, like sound, ocean waves, seismic waves, Slinky waves etc. If it depended on the frequency of the waves, then the sound of the band or orchestra would be all smeared out when it reaches you ... you'd hear the drums and bass first, and the flutes and trumpets last.
Electrical properties of the medium determine the speed of electromagnetic waves, like radio, light, and X-rays. If it depended on the frequency of the waves, then you couldn't watch a football game in the stadium or on TV. The reds, oranges, and yellows would reach your eyes first, and then the greens, blues, and violets would arrive later. The action would be all smeared out, and things that happened first might reach your eyes last. What a mess !
Answer:
it has no affect at all .. doesnt change
Explanation:
a balloon is expanded to the same volume as that of a human head. Do an order-of-magnitude estimate of the volume of this balloon in cm^3
a. 100cm^3
b. 1,000,000cm^3
c. 10cm^3
d. 1,000cm^3
Answer:
Volume of balloon = 1000 cm^3
Explanation:
The head of a normal person can be assumed as a sphere with radius 10 cm.
Volume of sphere [tex]=\frac{4}{3} \pi r^3[/tex], where r is the radius.
We have approximate radius = 10 cm.
Approximate volume of head [tex]=\frac{4}{3} \pi r^3=\frac{4}{3} *\pi* 10^3=4188cm^3[/tex]
In the given options the closest value to the approximate volume is 1000 cm^3.
So, volume of head = Volume of balloon = 1000 cm^3
A baseball is thrown vertically upward with an initial velocity of 30.0 m/s. The maximum height gained by the ball is?
Answer:
45.9 m
Explanation:
We can solve the problem by using the law of conservation of energy. In fact, the mechanical energy (sum of gravitational potential energy and kinetic energy) of the ball just after it is thrown is equal to the mechanical energy of the ball when it is at the top of its trajectory:
[tex]E_i = E_f\\U_i + K_i = U_f + K_f[/tex]
where
[tex]U_i = 0[/tex] is the initial gravitational potential energy of the ball, which is zero because the ball starts its motion from the ground (h=0)
[tex]K_i = \frac{1}{2}mv^2[/tex] is the initial kinetic energy of the ball, where m is the mass of the ball and v=30.0 m/s is its speed
[tex]U_f = mgh[/tex] is the gravitational potential energy of the ball at its maximum height h
[tex]K_f = 0[/tex] is the kinetic energy of the ball when it is at the maximum height (it is zero because the speed of the ball at its maximum height is zero)
Substituting into the first equation, we can find h:
[tex]\frac{1}{2}mv^2 = mgh\\h=\frac{v^2}{2g}=\frac{(30.0 m/s)^2}{2(9.8 m/s^2)}=45.9 m[/tex]
What is the primary energy transformation that occurs when a match is lit? A. Electrical energy is transformed into heat and light. B. Chemical energy is transformed into heat and light. C. Chemical energy is transformed into electrical energy. D. Heat and light are transformed into chemical energy.
B. chemical energy is transformed into heat and light
Final answer:
The correct answer is (B) "Chemical energy is transformed into heat and light". The primary energy transformation when a match is lit is the conversion of chemical energy into heat and light, an exothermic reaction during combustion.
Explanation:
When a match is lit, the primary energy transformation that occurs is the conversion of chemical energy to both heat and light. This chemical energy is stored in the molecules of the match head's substances. Upon ignition, these chemicals react with oxygen in a process known as combustion, during which the stored chemical energy is released as thermal energy (heat) and electromagnetic energy (light).
Therefore, the correct answer to the question is B. Chemical energy is transformed into heat and light. This transformation is an example of an exothermic reaction where the energy stored in the chemical bonds is released to the surroundings when those bonds are broken and new ones are formed.
How is science different from other subjects that involve thought, such as art, philosophy, and religion?
A.
Science is more objective, since it is predominantly based on evidence.
B.
Science is more subjective, since theories are based on opinions.
C.
Science has a tendency to be heavily influenced by society.
D.
Science requires more faith rather than logic and reason.
Answer:
A.
Explanation:
I did the Quiz and got it correct. Hope it helps!!!!
Select all of the energy types present in the circuit system when the switch is set to "Off."
A. light energy
B. heat energy
C. sound energy
D. electrical energy
E. chemical energy
F. magnetic energy
Question
Select all of the energy types present in the circuit system when the switch is set to "Off."
A. light energy
B. heat energy
C. sound energy
D. electrical energy
E. chemical energy
F. magnetic energy
I have 1 Answer D
Final answer:
In a circuit system when the switch is set to 'Off,' the energy types present are electrical energy (D), chemical energy (E), and magnetic energy (F).
Explanation:
When the switch is set to 'Off' in a circuit system, the energy types present are:
Electrical energy: Even though the switch is off, there is still potential electrical energy in the circuit waiting to be used.Chemical energy: If there are batteries or any other chemical power sources in the circuit, there is still chemical energy stored in them.Magnetic energy: Some components in the circuit, such as inductors, can store magnetic potential energy even when the switch is off.Which factor makes the mesosphere difficult to study? It is too high for weather balloons It is too high for satellites to observe Cloud cover makes it too hard to see The ozone layer blocks our view
SCIENCE
Answer:
It is too high for weather balloons
Explanation:
Chemists measure energy in units of _________ because it is based on heating water. Since most chemical reactions are doing in water or surrounded by water, this is an easy way to measure the energy change during a reaction.
A work
B Joule
C Calorie
D Horsepower
The answer is; C
A calorie is a unit of energy used to describe the energy required to raise the temperature of one gram of water by one degree at an ambient pressure of 1 atmosphere. This SI unit has gained popularity in its use in nutrition where the energy in a particular type of food (carbohydrates, proteins, and fats) is measured in calories.
Through how many volts of potential difference must an electron be accelerated to achieve a wavelength of 0.57 nm ?
To find the potential difference necessary to achieve a 0.57 nm wavelength for an electron, use the de Broglie wavelength equation in conjunction with the relationship between kinetic energy and voltage, leading to a calculation involving Planck's constant, electron charge, and mass.
Explanation:To determine through how many volts of potential difference an electron must be accelerated to achieve a wavelength of 0.57 nm, we utilize the de Broglie wavelength formula and the relationship between kinetic energy and voltage. The de Broglie equation is λ = h / p, where λ is the wavelength, h is Planck's constant (6.62607015 × 10⁻³⁴ m²kg/s), and p is the momentum of the electron. The momentum can be related to kinetic energy (½mv2) which can further be equated to the electric potential energy (eV, where e is the charge of an electron and V is the potential difference). Considering the charge of an electron (1.6 x 10⁻¹⁹ Coulombs) and rearranging the de Broglie equation to solve for V, we find:
V = (h2) / (2eλ2m)
Inserting Planck's constant, the electron charge, the given wavelength (0.57 nm or 0.57 x 10⁻⁹ m), and the mass of an electron (9.10938356 x 10⁻³¹ kg), we can solve for V.
This calculation reveals the potential difference required to accelerate an electron to a wavelength of 0.57 nm. Due to the complexity of the squares and the very small numbers involved, calculators or computational tools are recommended for an accurate result. This process illustrates the connection between quantum mechanics (as shown through de Broglie's equation) and classical physics (electric potential energy).
To determine the potential difference required to accelerate an electron to a wavelength of 0.57 nm, one must use the de Broglie wavelength formula and the kinetic energy equation associated with an electron's acceleration through a potential difference, involving algebraic manipulation and substitution of known constants.
The question asks: Through how many volts of potential difference must an electron be accelerated to achieve a wavelength of 0.57 nm? To find this, we can use the de Broglie wavelength formula, which relates the momentum of a particle to its wavelength, and connect it with the kinetic energy gained from acceleration through a potential difference.
First, the de Broglie wavelength equation is given by λ = h / p, where λ is the wavelength, h is Planck's constant (6.626 x 10-34 m2kg/s), and p is the momentum of the electron. To find the potential difference, we'll connect this with the kinetic energy an electron gains when accelerated through a potential difference V, which is given by the equation KE = qV, where q is the charge of an electron (1.6 x 10-19 C) and V is the potential difference in volts.
The momentum p can also be expressed in terms of kinetic energy KE, resulting in p = √(2mKE), where m is the mass of an electron (9.109 x 10-31 kg). Substituting the expression for KE based on the potential difference gives us a way to relate the potential difference directly to the desired wavelength.
After applying these equations and manipulating them to solve for V, the required potential difference to achieve a 0.57 nm wavelength can be numerically calculated.
A wrench is used to tighten a spark plug. If the wrench handle is 0.20m and a force of 20N is applied, what is the torque applied?
A) 0.01 Nm
B) 0.4 Nm
C) 4 Nm
D) 10 Nm
Torque [Nm] = Force [N] x Force arm [m]
C=F*b=20*0.20=4 Nm
The correct answer is C
a balloon is expanded to the same volume as that of a human head. Do an order-of-magnitude estimate of the volume of this balloon in cm^3
a. 100cm^3
b. 1,000,000cm^3
c. 10cm^3
d. 1,000cm^3
Answer:
Volume of head = 1000 cm^3
Explanation:
The head of a normal person can be assumed as a sphere with radius 10 cm.
Volume of sphere[tex]=\frac{4}{3} \pi r^3[/tex], where r is the radius.
We have approximate radius = 10 cm.
Approximate volume of head [tex]=\frac{4}{3}* \pi *10^3=4189 cm^3[/tex]
In the given options the closest value to the approximate volume is 1000 cm^3.
So, volume of head = 1000 cm^3
Mechanical (sound) waves to Earth from satellites. How is this possible? aves are unable to travel through a vacuum, such as through space, but radio waves are transmitted
Sound waves are not able to travel in a vacuum, sound requires a medium such as air or a solid for example. Satellites are indeed in space, but radio waves are not sound waves they are a form of light. Light can travel in a vacuum so the messages that satellites beam back to Earth are light waves not sound waves, that is why it is possible.
Answer:
Waves that move through matter only are called
mechanical
waves. Waves that move through space are called
electromagnetic
waves.
Explanation:
During a demonstration of the gravitational force on falling objects to her class, Sarah drops an 11 lb. bowling ball from the top of the science building. Determine distance the ball has traveled after falling for 1.0 second, ignoring air resistance and given the gravitational acceleration of 9.8 m/sec2. A) 4.9 m B) 11 m C) 20 m D) 32 m
Given that,
mass of ball , m =11 lbs
Time , t = 1.0 seconds
Acceleration , a = 9.8 m/s²
Distance , s = ?
Since, we know that,
S = Vi *t + 1/2 at²
Since initial velocity is zero in this case (ball was at state of rest before falling to the ground)
S = 1/2 *9.8 * (1)²
S = 4.9 m
The distance covered by ball after one second will be 4.9 m.
If the current in a wire increases from 5 A to 10 A, what happens to its magnetic field? If the distance of a charged particle from a wire changes from 10 cm to 20 cm, what happens to its magnetic field? If the charge of a particle changes from 2 µC to –2µC, what happens to the force exerted on that particle?
(1) Doubling of the current through the wire will result in doubling of its magnetic field.
The magnetic field around a wire is a function of the current I and radial distance r
[tex]B = \frac{\mu\cdot I }{2\pi r}[/tex]
(with mu denoting the magnetic permeability of the medium). So, B is directly proportional to I. The field magnitude will double with the doubled current from 5A to 10A
(2) Using the same formula as in (1), we can see that the magnetic field is inversely proportional to the radial distance from the wire. So, a particle at 20cm will experience half the magnitude compared to a particle at 10cm.
(3) Answer
If a particle with a charge q moves through a magnetic field B with velocity v, it will be acted on by the magnetic force
[tex]F_m = B\cdot v\cdot q[/tex]
So, a particle with charge -2uC will experience a magnetic force of same magnitude but opposite direction (and perpendicular to B) as compared to a particle with a charge of 2uC
If the current in a wire increases from 5 A to 10 A, the magnetic field will double.
If the distance of a charged particle from a wire changes from 10 cm to 20 cm, the magnetic field will be halved.
If the charge of a particle changes from 2 µC to –2µC, the magnitude of the force will be the same but the direction will be different
The given parameters:
Current, from 5 A to 10 ADistance of charge, from 10 cm to 20 cmCharge, from 2 µC to –2µCThe magnetic field around a wire is a function of the current I and radial distance r, given as;
[tex]B = \frac{\mu_o I}{2\pi r} [/tex]
Thus, we can conclude the following;
If the current in a wire increases from 5 A to 10 A, the magnetic field will double.If the distance of a charged particle from a wire changes from 10 cm to 20 cm, the magnetic field will be halved.The force exerted on a particle is calculated as follows;
F = qVB
where;
q is the charge'
If the charge of a particle changes from 2 µC to –2µC, the magnitude of the force will be the same but the direction will be different.
Learn more about magnetic field here: https://brainly.com/question/7802337
a sprinter starts from rest and accelerates at 1.5 m/s2 fro 20 meters. What is his final velocity?show work please
We can determine the final velocity via the following kinematic equation:
[tex]v_{final}^2=v_{initial}^2+2a \Delta x[/tex]
Since the sprinter starts at rest this means the initial velocity is zero, a = 1.5 m/s^2 and the difference of x is 20 meters therefore:
[tex]v_{final}^2=0^2+2(1.5m/s^2)(20)\\\\v_{final}^2=60\\\\v_{final}=\sqrt{60}\\v_{final} \approx 7.75 m/s[/tex]
The final velocity is 7.75 m/s
A 98 kilogram man is accelerating forward at a rate of 1.2 m/s2. What is the unbalanced force necessary to produce the movement? A) 81.67 N B) 96.8 N C) 99.2 N D) 117.6 N
The correct answer is D) 117.6 N
Use the formula F = ma, F = (98)(1.2) = 117.6 N.
please give me the brainliest
Final answer:
The unbalanced force required to produce the movement of a 98 kg man accelerating at 1.2 m/s² is calculated using Newton's second law of motion (F=ma), which results in a force of 117.6 N. So the correct option is D.
Explanation:
To determine the unbalanced force necessary to produce the movement of a 98 kilogram man accelerating forward at a rate of 1.2 m/s², we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma).
Given:
- Mass (m) = 98 kg
- Acceleration (a) = 1.2 m/s²
Force (F) = m × a
Force (F) = 98 kg × 1.2 m/s²
Force (F) = 117.6 N
Therefore, the correct answer is D) 117.6 N.
All living things are made up of cells. Some organisms, such as bacteria, exist only as single-celled organisms. Others, consist of countless cells all working together to form a single living being. Humans are comprised of trillions of cells that are organized into tissues such as muscle and skin or organs like the liver and lungs. Every organic life form starts from a single cell. Cells form a tissue, tissues form an organ and organs form the human body. These cell divisions by which a single cell divides a hundred trillion times is a process called growth. It is a unique and very complex process that happens in the body. A normal cell follows a uniform life cycle and reproduction. The abnormal (mutant) cells are cancer cells. Cancer cells happens when a certain cell (DNA) gets a different signal that causes mutation. When a cell senses a mistake, the system eliminates (self destructs) itself from the body, however, there are some instances that a cell’s mutation is left undetected. These cells reproduce and grow in a manner that is not even or regular in pattern or movement; hence, the growth of the cancers cells. Cancer cells vary from normal cells. They have different characteristics that allowed researchers to understand cell mutation extensively.
All normal cells carry characteristics that are essential to perform a normal bodily function. These cells differ in shape and size but they are uniformed depending on what type of cells they are. All human cells are eukaryotic (any organism having as it fundamental structural unit a cell type that contains specialized organelles in the cytoplasm, a membrane-bound nucleus enclosing genetic material organized into chromosomes, and an elaborate system of division by mitosis or meiosis, characteristic of all life forms except bacteria, blue-green algae, and other primitive microorganisms) because they contain a true nucleus that can hold genetic information, like DNA (deoxyribonucleic acid) and RNA (ribonucleic acid). These genes are responsible for all cellular activities and functioning. Healthy cells divide in an orderly manner to produce more cells only when the body needs them. They follow the lifecycle which includes mitosis (the usual method of cell division, characterized typically by the resolving of the chromatin of the nucleus into a threadlike form, which condenses into chromosomes, each of which separates longitudinally into two parts, one part of each chromosome being retained in each of two new cells resulting from the original cell), meiosis (part of the process of gamete formation, consisting of chromosome conjugation and two cell divisions, in the course of which the diploid chromosome number becomes reduced to the haploid), and apoptosis ( the death of a cell).
Is this like a helping thing. If it is thanks so much. I appreciate your time and work. Is this a question?
What climate is characterized by constant high temperatures at sea level with an average temperature of 18 °C or higher, and is found near the equator? A) arid B) polar C) tropical D) temperate
Correct answer id option C that is tropical.
Tropical Climate is characterized by constant high temperature at sea level with an average temperature of 18°C or higher and is found near the equator.
Areas with tropical climate have high humidity and temperature. Countries in tropical region have high precipitation rate. Tropical climate is also known as equatorial climate. Tropical regions are found near equator. Due to high convection rate, there is abundant rainfall.
Answer:
c. tropical
Explanation:
Tropical Climate is characterized by constant high temperature at sea level with an average temperature of 18°C or higher and is found near the equator.
Areas with tropical climate have high humidity and temperature. Countries in tropical region have high precipitation rate. Tropical climate is also known as equatorial climate. Tropical regions are found near equator. Due to high convection rate, there is abundant rainfall.
A drag racer starts from rest and accelerates at 7.4 m/s2. How far will he travel in 2.0 seconds?
Using the kinematic equation below we can determine the distance traveled if t=2, a=7.4m/s^2. First we must determine the final velocity:
[tex]v_{final}=v_{initial}+\frac{1}{2}at\\\\v_{final}=0+(7.4m/s^2)(2s)=34.8m/s[/tex]
Now we will determine the distance traveled:
[tex]v_{final}^2=v_{initial}^2+2a \Delta x\\\\\Delta x = \frac{v_{final}^2}{2a} =\frac{(34.8)^2}{(2)(7.4)}=81.83 m[/tex]
Therefore, the drag racer traveled 81.83 meters in 2 seconds.
We have that When A drag racer starts from rest and accelerates at 7.4 m/s the distance travelled in 2.0 seconds is
S=14.8m
From the question we are told
A drag racer starts from rest and accelerates at 7.4 m/s2. How far will he travel in 2.0 seconds?
Generally the equation for the Distance is mathematically given as
[tex]s=ut+1/2at^2\\\\Where\\\\Accelerates at 7.4 m/s2\\\\U=0\\\\T=2.0\\\\[/tex]
Hence
S=0+1/2(7.4)(2)^2
S=14.8m
Therefore
When A drag racer starts from rest and accelerates at 7.4 m/s the distance travelled in 2.0 seconds is
S=14.8m
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Name two energy transformations that occur as Adeline pedals her bicycle up a steep hill and then coasts down the other side.
Potential energy is first transformed into kinetic energy as she pedals, then gravitational as she coasts down the hill.
Question
Name two energy transformations that occur as Adeline pedals her bicycle up a steep hill and then coasts down the other side.
Answer
Potential energy is first transformed into kinetic energy as she pedals, then gravitational as she coasts down the hill.
So it starts as potential engry sence they are staying still but then been they strt moveing by pedleing upnthe hill it turns/or changes in kentic energy sence we are gping up the when i go bake down i don't use as much force or have to push because the gravity is pulling me down thats when it turns into gravitational energy.
Hope this helps :)
Need Help ASAP!
Which of the following places would have the most "continentality"?
A.) Los Angeles, California
B.) San Fransisco, California
C.) Denver, Colorado
D.) New York, New York
Continentality: Continentality, a measure of the difference between continental and marine climates characterized by the increased range of temperatures that occurs over land compared with water.
I'm not sure but I think the most reasonable would be C or B but again im not sure.
Final answer:
Denver, Colorado has the most continentality, as it is located away from the ocean and at a higher altitude, which leads to greater temperature ranges and a Type D climate.
Explanation:
The concept of continentality relates to the climate characteristics of an area, especially the range of temperatures, and is connected to how far an area is from the influence of the sea. Factors that influence continentality include proximity to large bodies of water and latitude. Based on these factors, Denver, Colorado would have the most continentality among the options given. Los Angeles and San Francisco have moderate Type C climates with oceanic influence that reduces temperature extremes. New York experiences some continentality but is still influenced by the Atlantic Ocean. In contrast, Denver is far from any large body of water and is located at a higher altitude in the interior of the continent, resulting in greater temperature ranges and a more pronounced Type D (cold or continental) climate.
which describes how transuranium elements are made in a lab?
A) by the transuranium of protons to electrons in a stable element
B) by the artificial transuranium of carbon compounds
C) by the artificial transurianium of lighter elements
Final answer:
Transuranium elements are created by bombarding target nuclei with particles like neutrons, resulting in new, heavier elements not found in nature.
Explanation:
Transuranium elements are made in a lab by the artificial transmutation of lighter elements. This process involves bombarding target nuclei with particles, such as neutrons or other atomic nuclei. During the bombardment, the target nuclei capture the incoming particles, which leads to the formation of a heavier element that did not previously exist naturally.
For example, the first transuranium element, neptunium (Z = 93), was synthesized by bombarding uranium-238 with neutrons. This creates uranium-239, which undergoes beta decay to form neptunium-239. Similar methods are used to create other transuranium elements, with the most advanced involving collisions with more massive nuclei to create superheavy elements like element 114 and element 116.
How do astronomers best learn about distant objects in the universe
A. They collect and analyze data from their electromagnetic radiation.
B. They analyze rock samples from space probes.
C. They study nearby objects and match their properties with those of distant objects.
They collect and analyze data from the objects' electromagnetic radiation.
Two plumbers are working at a site. The first tries to unscrew a pipe with a wrench and cannot budge it. The second one is twice as strong as the first one. He also has a wrench that is twice as long. How much more torque can the second plumber exert compared to the first?
Answer: The second plumber can exert 4 times more torque than the first one.
Explanation:
Torque is the cross product of force which causes rotation and the distance from the axis of rotation at which the force is applied.
τ = F × r
For the first plumber,
τ₁ = F₁ × r₁
For the second plumber,
τ₂ = F₂ × r₂ = 2 F₁ × 2 r₁ = 4 F₁ × r₁ = 4 τ₁ (∵ second plumber is twice as strong as first and second wrench is twice the length of first)
⇒τ₂ = 4 τ₁
What is the wavelength of infrared in scientific notation?
Answer:
[tex]7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m[/tex]
Explanation:
Infrared radiation has wavelength in the range between 700 nm and 1 mm. Lets' convert these values into scientific notation, keeping in mind that:
[tex]1 nm = 10^{-9} m\\1 mm = 10^{-3} m[/tex]
Let's start from the lower value, we have:
[tex]700 nm = 700 \cdot 10^{-9} m = 7.00 \cdot 10^{-7} m[/tex] (we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)
The higher value is:
[tex]1 mm = 1 \cdot 10^{-3} m[/tex]
So, the range of wavelength of infrared radiation is:
[tex]7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m[/tex]
What happens to rocks as water combines
with gases in the air to form acids?
A. The acid dissolves or alters the chemical
composition of the rock.
B. The acid solidifies any loose rock particles,
which makes the rock denser.
C. The acid forms a protective coating on
rocks, making it difficult for them to
weather.
D. The acid creates cracks in the rocks, which
allow air to circulate through the rock,
causing it to weather
The combination of water and gases in the air forming acids leads to the chemical weathering of rocks, where acids dissolve or alter the chemical composition of the rocks, following option A.
When water combines with gases in the air to form acids, the chemical composition of rocks can be significantly altered. Acid rain, which is a byproduct of industrial pollutants mixing with atmospheric moisture, leads to increased chemical weathering of rocks. This weathering is a process where the minerals in rocks react with the acids and experience changes such as oxidation or dissolving.
Carbon dioxide (CO₂) naturally reacts with rainwater to form carbonic acid, which is a weaker form of acid that also contributes to the weathering of rocks by dissolving them over time.
However, pollutants from burning fossil fuels add gases like nitrous oxide and sulfur dioxide to the atmosphere, which combine with rainwater to form more potent acids such as nitric and sulfuric acids, enhancing the weathering process. These acids do not solidify rock particles, form protective coatings, or create cracks for air circulation but instead actively dissolve or alter the rocks' chemical makeup, which aligns with option A.
The power is an electrical circuit is given by the equation P = i^2R, where I is the current flowing through the circuit and R is the resistance of the circuit. What is the power in a circuit that has a current of 0.1 amps and a resistance of 18 ohms?
A. 1.8 watts
B. 0.1 watts
C. 180 watts
D. 0.18 watts
Formula
Power = I^2 * R
Givens
R = 18 ohms
I = 0.1 amperes.
Solution
P = 0.1^2 * 18
P = 0.01 * 18
P = 0.18 watts.
D <<<< Answer
P=RI²=18*0,1²=18*0,01=0,18 W
Through how many volts of potential difference must an electron be accelerated to achieve a wavelength of 0.57 nm ?