Req = 30.0Ω.
When two or more resistors are in series, the intensity of current that passes through each of them is the same. Therefore, if you notice, you can observe that the three previous series resistors are equivalent to a single resistance whose value is the sum of each one.
Req = R1 + R2 + R3 = 10.0Ω + 10.0Ω + 10.0Ω = 30.0Ω
The equivalent resistance if you connect three 10.0 Ω resistors in series will be 30 ohms.
What is series circuit?In the series circuit, the amount of current flowing through any component in a series circuit is the same and the sum of the individual resistances equals the overall resistance of any series circuit.
The voltage in a series circuit, the supply voltage, is equal to the total of the individual voltage drops.
[tex]\rm R_{eq}= R_1+R_2+R_3 \\\\ R_{eq}=10+10+10 \\\\ R_{eq}=30 \ ohms[/tex]
Hence, the equivalent resistance will be 30 ohms.
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The atmosphere is made up of several layers of air. The bottom two layers are the troposphere and the stratosphere. How does the troposphere differ from the stratosphere?
Troposhere is differ from stratosphere by the following reason
1. all weather pheonamena take place in trosphere
2. in trosposphere temperature increase by increasing height which is just opposite in the case of stratosphere
3. the maximum air is found in trosposphere
Final answer:
The troposphere is the earthly atmospheric layer where weather and major atmospheric changes take place due to its high density and temperature that decreases with altitude. Above it sits the stratosphere, which contains the ozone layer, and exhibits a temperature inversion, stability, and a lack of weather phenomena.
Explanation:
Comparison of Troposphere and Stratosphere
The troposphere and stratosphere are the two lowest layers of the Earth's atmosphere. The troposphere is the bottommost layer, where nearly all weather occurs and which houses most of the atmospheric mass. This layer extends from sea level up to about 9 km at the poles and averages 12 km in thickness, reaching up to 17 km at the equator due to the Earth's rotation. The troposphere is characterized by a temperature that decreases with altitude, making it denser near the surface. By contrast, the stratosphere is the second layer that lies above the troposphere, stretching from approximately 12 km to 50 km above Earth's surface. It contains the ozone layer and is known for its temperature inversion, where temperature increases with altitude due to the absorption of ultraviolet radiation by ozone.
The most discernible difference between the troposphere and the stratosphere is the temperature gradient. In the troposphere, temperature generally decreases with altitude, while in the stratosphere, it increases with altitude due to the presence of the ozone layer which absorbs and scatters the Sun's ultraviolet light. This temperature inversion creates a stable layer that prevents convective currents, marking a clear boundary between these two atmospheric layers known as the tropopause.
The troposphere is significantly more turbulent and dynamic, housing all the weather systems and majority of the atmospheric water vapors. Meanwhile, the stratosphere maintains a more stable environment. The difference in density and temperature between the two layers is responsible for the distinctive weather phenomena and atmospheric conditions unique to each layer.
If the path-length differences between two identical and coherent beams is two wavelengths when they arrive on a screen, will they produce a dark or a bright spot?
a. bright spotb. dark spot
Answer:
Bright spot
Explanation:
When we have interference between two identical and coherent beams, the conditions for constructive interference (bright spots) and destructive interference (dark spots) are:
- Costructive interference: the path-length differences between the two waves is an integer multiple of the wavelength of the waves:
[tex]|d_1 - d_2| = n \lambda[/tex]
where the term on the left is the path difference, and [tex]\lambda[/tex] is the wavelength
- Destructive interference: the path-length differences between the two waves is an odd multiple of half the wavelength of the waves:
[tex]|d_1 - d_2| = (n+\frac{1}{2}) \lambda[/tex]
In this problem, the path-length difference is 2 wavelengths: so, it is an integer multiple of the wavelength, therefore the point is a point of constructive inteference (bright spot).
A path-length difference of two wavelengths between two coherent beams results in a bright spot on the screen due to constructive interference. This is related to double slit experiments, which display evenly spaced bright fringes.
Explanation:If two identical and coherent beams of light have a path-length difference of two wavelengths when they arrive on a screen, they will produce a bright spot. This is because a path-length difference of an integer number of wavelengths, such as two wavelengths, results in constructive interference. Constructive interference occurs when the crest of one wave overlaps with the crest of another, leading to an increase in amplitude and thus a bright fringe on the screen. This principle is at work in both single and double slit experiments.
In the context of single slit and double slit interference, evenly spaced bright spots are a characteristic of double slit experiments. On the other hand, the observation that some bright spots are dimmer on either side of the center is typical in single slit interference patterns because of the different path lengths and resulting interference effects.
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The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s2). Of an object’s mass is m=10. kg, what is its weight?
Answer:
98 N
Explanation:
The weight of an object is given by
W = mg
where
m is the mass of the object
g = 9.8 m/s^2 is the acceleration of gravity
Here we have an object with mass
m = 10 kg
Therefore, its weight will be
[tex]W=(10 kg)(9.8 m/s^2)=98 N[/tex]
1.Work is only being done when what happens to an object?
A) the object does not move
B) the object disappears without explanation
C) it moves in the same direction as the force
D) The object moves in the opposite direction of the force
2.Ben and Jerry, arch rivals, decide to have a weight lifting contest during PE. Ready, set, go! Ben and Jerry both lift a 250 kg barbell 10 times over their heads. They are approximately the same height and lift the barbell the same distance in the air. It takes Ben 5 seconds to complete 10 lifts; it takes Jerry 25 seconds to complete his 10 lifts.
Which statement is MOST accurate regarding the weightlifting contest?
A) Ben did more work than Jerry.
B) Ben has more power than Jerry.
C) Ben and Jerry have the same power.
D) Ben does more work and is more powerful than Jerry.
3.Which energy source can be found on the electromagnetic spectrum?
A) sound energy
B) chemical energy
C) UV light energy
D) mechanical energy
4. Sam blew up a balloon and rubbed it on his head. Then he stuck the balloon on the wall. This was all the result of electrostatics or the transfer of charge. The appearance of negative charge on a balloon is the result of its gaining electrons. And these electrons must come from somewhere; in this case, from Sam's hair. Electrons are transferred in any charging process. In the case of charging by friction, they are transferred between the two objects being rubbed together. Prior to the charging, both objects are electrically neutral and the situation obeys the law of conservation of charge. How does the law of conservation of charge explain Sam and his balloon?
A) Friction creates charge that collected on the balloon.
B) The balloon gained electrons; Sam's hair gained protons.
C) If the balloon acquires charge, Sam's hair loses charge.
D) The net charge before is zero; the net charge after is negative.
1.
C) it moves in the same direction as the force
D) The object moves in the opposite direction of the force
Work is defined as follows:
[tex]W=Fdcos \theta[/tex]
where
F is the magnitude of the force applied on an object
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
As we see from the formula, when d=0 (the object does not move), then W=0 (no work done). While we have work done if the object is moving. In particular, we have two situations:
- The object moves in the same direction as the force: [tex]\theta=0^{\circ}[/tex], so [tex]cos \theta= 1[/tex] and the work done is positive
- The object moves in the opposite direction of the force: [tex]\theta=180^{\circ}[/tex], so [tex]cos \theta= -1[/tex] and the work done is negative
2. B) Ben has more power than Jerry.
Power is defined as:
[tex]P=\frac{W}{t}[/tex] (1)
where
W is the work done
t is the time taken
Work is the product of force and displacement. Since Ben and Jerry lift the same mass (250 kg), they apply the same force, and since they lift the barbell the same distance in air the same number of times (10), the displacement is also the same: so, they did the same work.
However, Ben did it in less time (5 s) then Jerry (25 s): looking at eq.(1), we see that less time means more power, so Ben has more power than Jerry.
3. C) UV light energy
The electromagnetic spectrum is the classification of all electromagnetic waves according to their different wavelength.
From shortest to longest wavelength, we have:
Gamma rays
X-rays
UV (ultraviolet)
Visible light
Infrared radiation
Microwaves
Radio waves
So, we see that UV light energy (ultraviolet radiation) is a type of electromagnetic waves.
4. C) If the balloon acquires charge, Sam's hair loses charge
The law of conservation of charge applied to this case states that the total charge on Sam hair and the balloon before must be equal to the total charge after: no charge can be created or destroyed in the process, but only moved from one object to the other.
In this example, Sam rubs the balloon on his head: electrons are transferred from Sam's hair to the balloon's surface. Therefore, we can say that the balloon has acquired negative charge, while Sam's hair has lost negative charge.
What is the most common fuel used in nuclear power plants
Answer:
Uranium
Explanation:
The nuclear power plants on Earth work based on the principle of nuclear fission.
Nuclear fission occurs when a heavy unstable nucleus splits into lighter nuclei: in this process, the total mass of the final product is smaller than the mass of the initial heavy nucleus, so part of the mass is converted into energy according to Einstein's equation:
[tex]E=mc^2[/tex]
where E is the energy released when an amount of mass m is converted (c is the speed of light).
Generally, the "fuel" (the initial heavy unstable element) used in nuclear power plants is uranium. A nucleus of uranium is bombarded with slow neutrons, which cause the process of nuclear fission to start: the nucleus of uranium split into lighter nuclei, releasing also additional neutrons, which are used to start further nuclear reactions.
In Millikan’s experiment, the oil droplets acquire one or more negative charges by combining with the negative charges that are produced from the ionization of air by X rays. By measuring the charges on the oil droplets, he calculated the charge on a single electron as −1.60×10−19 C. The charge on any negatively charged oil droplet is always a whole-number multiple of the fundamental charge of a single electron.If Millikan was measuring the charge on an oil droplet with 10 negatively charged electrons on it, what charge would he have measured on the droplet?
Answer:
[tex]-1.6\cdot 10^{-18}C[/tex]
Explanation:
The charge of a single electron is:
[tex]q=-1.6\cdot 10^{-19}C[/tex]
If the oil droplet has N electrons, the total charge of the droplet will be
[tex]Q=Nq[/tex]
In this case, we have
N = 10
Therefore, the total charge on the droplet is
[tex]Q=(10)(-1.6\cdot 10^{-19} C)=-1.6\cdot 10^{-18}C[/tex]
In Millikan's experiment, the charge on any negatively charged oil droplet is always a whole-number multiple of the fundamental charge of a single electron. If the oil droplet had 10 negatively charged electrons, Millikan would have measured a charge of [tex]-1.60x10^-18[/tex] let.
Explanation:Millikan's experiment involved measuring the charges on oil droplets that acquire negative charges by combining with the negative charges produced from the ionization of air by X rays. Millikan found that the charge on any negatively charged oil droplet is always a whole-number multiple of the fundamental charge of a single electron, which is [tex]-1.60x10^-19[/tex]
If Millikan was measuring the charge on an oil droplet with 10 negatively charged electrons on it, he would have measured a charge of[tex]-1.60x10^-19[/tex] y 10, which is [tex]-1.60x10^-18[/tex]
A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4m/s. But 3 seconds later at the bottom of the slope its speed is 22m/s. What is its average acceleration?
Answer:
6 m/s^2
Explanation:
The average acceleration of the car is given by:
[tex]a=\frac{v-u}{t}[/tex]
where
v is the final speed
u is the initial speed
t is the time elapsed
For the car in this problem,
v = 22 m/s
u = 4 m/s
t = 3 s
Therefore, the acceleration of the car is
[tex]a=\frac{22 m/s-4 m/s}{3 s}=6 m/s^2[/tex]
Read the scenario.
A pinecone is lying on the road at a position of 0 m. Floyd kicks it to a position of 4 m west. Then, Sybil kicks it, and it comes to rest at a position of 2 m west.
Which option represents a scalar quantity from the scenario?
displacement = 2 m west
distance = 2 m
distance = 6 m west
distance = 6 m
Answer:
distance = 6 m
Explanation:
- Distance is a scalar quantity (so, only magnitude, no direction), and it is calculated as the scalar sum of all the distances travelled by an object during its motion, regardless of the direction. So, in this problem, the distance covered by the pinecone is
d = 4 m + 2 m = 6 m
- Displacement is a vector quantity (magnitude+direction), and its magnitude is calculate as the distance in a straight line between the final position and the initial position of the object. In this case, the final position is 2 m west and the initial position is 0 m, so the displacement of the pinecone is
d = 2 m west - 0 m = 2 m west
So, a scalar quantity from this scenario is
distance = 6 m
Where is visible light located on the electromagnetic spectrum
Answer:
The portion visible by the human eye of the electromagnetic spectrum is between 380 nm (violet-blue) and 780 nm (red) approximately.
This part of the spectrum is located between ultraviolet light and infrared light.
It should be noted that the fact only part of the whole electromagnetic spectrum is visible to humans is because the receptors in our eyes are only sensitive to these wavelengths.
Answer:
near the middle
Explanation:
for gradpoint anyway
Why is there convection in the outer core and what is the result of this?
Answer:
re believed to influence the Earth's magnetic field. ... As heat is transferred outward toward the mantle, the net trend is for the inner boundary of the liquid region to freeze, causing the solid inner core to grow
Explanation:
Final answer:
Convection in the Earth's outer core, caused by heat from radioactive decay and Earth's cooling, leads to the movement of conductive materials like iron and nickel. These movements generate the Earth's magnetic field, essential for maintaining our atmosphere and conditions favorable for life.
Explanation:
Convection in the Earth's outer core is driven by the heat generated from the decay of radioactive elements and the cooling of the Earth's interior. This heat causes the liquid iron and nickel in the outer core to move in convective currents. As these substances are metallic and thus conductive at the high temperatures and pressures found in the core, their movement generates the Earth's magnetic field. This magnetic field is crucial for maintaining the atmosphere and the conditions necessary for life on Earth. Without the convection in the outer core and the resulting magnetic field, Earth might lose essential gases in its atmosphere, similarly to what happened on Mars.
Which of the following technologies would produce the most energy in light waves?
A.Halogen lightbulb
B.Radio-controlled toy airplane
C.Microwave industrial drying equipment
D.Ultraviolet disinfecting wand
Answer:
D. Ultraviolet disinfecting wand.
Explanation:
Energy in light waves depends upon the frequency o the waves. Higher the frequency of the waves, higher the amount of energy it carries. Similarly, waves with shorter wavelength has higher frequencies and thus more energy.
Ultraviolet disinfecting wand would produce most energy out of the four options because it produce UV waves which have shorter wavelength and higher frequency.
Answer: (B): Radio-controlled airplane
Explanation:
A P E X
Energy from the sun reaches earth mostly by
Answer:
Radiation is the correct answer for this question.
Explanation:
two cars collide at an intersection. one car has a mass of 900 kg and is moving 10 m/s to the north, while the other has a mass of 1000 kg and is moving 7 m/s to the south. what is their combined momentum?
Answer:
2000 kgm/s to the north.
Explanation:
For any colliding bodies, momentum must be conserved.
In this case we are required to find the momentum before collision.
Since the two cars are moving to different direction, we are going to take one velocity as negative.
∴ (900×10) + (1000× -7) = 9000 + - 7000
= 9000 - 7000
= 2000 kgm/s
Since the answer is positive and we had taken the velocity due north as positive, the combined momentum is 2000 kgm/s to the north.
A typical american family uses 1000 kwh of electricity a month. what is the average rrns current in the 120 v power line to a typical house?
Power = (1000 kilo-Watt-hr/mo) x (1000/kilo) x (mo/30day) x (day/24 hr)
Power = (1000 x 1000 / 30 x 24) (kilo-watt-hr-mo-day/mo-kilo-day-hr)
Power = (1,000,000/720) watt
(voltage x current) = (1,000,000/720) watts
120v x current = (1,000,000/720) watts
Current = 1,000,000 / (720 x 120) Amperes
Current = 11.57 Amperes
The typical American home draws around an average effective (RMS) current of 11.58 amps from a 120 V power line.
Explanation:The average current in the power line of a typical American house can be calculated using Ohm's law and the power equation. If a typical American family uses 1000 kWh per month, we need to convert this to average power in kW, which gives (1000 kWh) / (30 days*24 hours) = 1.39 kW = 1390 W.
Given that the voltage is 120 V, we can use the formula: P = IV, rearranging to find I = P/V. Therefore, I = 1390 W / 120 V = 11.58 A.
This means the power to a standard American home running at typical usage rates should draw an average effective(RMS) current of around 11.58 amps from a 120 V power line.
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What is the energy of a photon that has the same wavelength as an electron having a kinetic energy of 15 ev?
Answer: [tex]6.268(10)^{-16}J[/tex]
Explanation:
The kinetic energy of an electron [tex]K_{e}[/tex] is given by the following equation:
[tex]K_{e}=\frac{(p_{e})^{2} }{2m_{e}}[/tex] (1)
Where:
[tex]K_{e}=15eV=2.403^{-18}J=2.403^{-18}\frac{kgm^{2}}{s^{2}}[/tex]
[tex]p_{e}[/tex] is the momentum of the electron
[tex]m_{e}=9.11(10)^{-31}kg[/tex] is the mass of the electron
From (1) we can find [tex]p_{e}[/tex]:
[tex]p_{e}=\sqrt{2K_{e}m_{e}}[/tex] (2)
[tex]p_{e}=\sqrt{2(2.403^{-18}J)(9.11(10)^{-31}kg)}[/tex]
[tex]p_{e}=2.091(10)^{-24}\frac{kgm}{s}[/tex] (3)
Now, in order to find the wavelength of the electron [tex]\lambda_{e}[/tex] with this given kinetic energy (hence momentum), we will use the De Broglie wavelength equation:
[tex]\lambda_{e}=\frac{h}{p_{e}}[/tex] (4)
Where:
[tex]h=6.626(10)^{-34}J.s=6.626(10)^{-34}\frac{m^{2}kg}{s}[/tex] is the Planck constant
So, we will use the value of [tex]p_{e}[/tex] found in (3) for equation (4):
[tex]\lambda_{e}=\frac{6.626(10)^{-34}J.s}{2.091(10)^{-24}\frac{kgm}{s}}[/tex]
[tex]\lambda_{e}=3.168(10)^{-10}m[/tex] (5)
We are told the wavelength of the photon [tex]\lambda_{p}[/tex] is the same as the wavelength of the electron:
[tex]\lambda_{e}=\lambda_{p}=3.168(10)^{-10}m[/tex] (6)
Therefore we will use this wavelength to find the energy of the photon [tex]E_{p}[/tex] using the following equation:
[tex]E_{p}=\frac{hc}{lambda_{p}}[/tex] (7)
Where [tex]c=3(10)^{8}m/s[/tex] is the spped of light in vacuum
[tex]E_{p}=\frac{(6.626(10)^{-34}J.s)(3(10)^{8}m/s)}{3.168(10)^{-10}m}[/tex]
Finally:
[tex]E_{p}=6.268(10)^{-16}J[/tex]
When an atom gains an electron it becomes
Answer:
it will become a negatively charged ion
Explanation:
Place the tiles in the correct order to describe how a nuclear power plant generates power.
1). Radioactive decay produces heat. 2). Boiling water produces steam. 3). Steam spins turbines. 4). Electricity is generated.
Answer:
The order is:
Radioactive decay produces heat.
Boiling water produces steam.
Steam spins turbines.
Electricity is generated.
Explanation:
A nuclear power plant uses heat from nuclear reactions to create steam from water. This steam spins turbines, which generate electricity.
Explanation:A nuclear power plant produces electricity using the heat generated by the nuclear reactions or radioactive decay within the reactor. The heat generated through this process is used to heat water, forming steam. Following this, in order:
Radioactive decay in the reactor produces intense heat.This heat is used to boil water, converting it into steam.The high-pressure steam is directed at turbines, causing them to spin.This mechanical energy from the spinning turbines is converted into electrical energy or electricity.Learn more about Nuclear Power Production here:https://brainly.com/question/34702905
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what is the magnification of a virtual image if the image is 10.0 cm....
Answer:
5.0
Explanation:
because 50.0 / 10.0 equals 5
A small cork with an excess charge of +6.0µC is placed 0.12 m from another cork, which carries a charge of -4.3µC.
A) what is the magnitude of the eletric force between the corks?
B) is this force attractive or repulsive?
C) how many excess electrons are on the negative cork?
D) how many electrons has the postive cork lost?
A) 16.1 N
The magnitude of the electric force between the corks is given by Coulomb's law:
[tex]F=k\frac{q_1 q_2}{r^2}[/tex]
where
k is the Coulomb's constant
[tex]q_1 = 6.0 \mu C=6.0 \cdot 10^{-6} C[/tex] is the magnitude of the charge on the first cork
[tex]q_2 = 4.3 \mu C = 4.3 \cdot 10^{-6}C[/tex] is the magnitude of the charge of the second cork
r = 0.12 m is the separation between the two corks
Substituting numbers into the formula, we find
[tex]F=(9\cdot 10^9 N m^2 C^{-2} )\frac{(6.0\cdot 10^{-6}C)(4.3\cdot 10^{-6} C)}{(0.12 m)^2}=16.1 N[/tex]
B) Attractive
According to Coulomb's law, the direction of the electric force between two charged objects depends on the sign of the charge of the two objects.
In particular, we have:
- if the two objects have charges with same sign (e.g. positive-positive or negative-negative), the force is repulsive
- if the two objects have charges with opposite sign (e.g. positive-negative), the force is attractive
In this problem, we have
Cork 1 has a positive charge
Cork 2 has a negative charge
So, the force between them is attractive.
C) [tex]2.69\cdot 10^{13}[/tex]
The net charge of the negative cork is
[tex]q_2 = -4.3 \cdot 10^{-6}C[/tex]
We know that the charge of a single electron is
[tex]e=-1.6\cdot 10^{-19}C[/tex]
The net charge on the negative cork is due to the presence of N excess electrons, so we can write
[tex]q_2 = Ne[/tex]
and solving for N, we find the number of excess electrons:
[tex]N=\frac{q_2}{e}=\frac{-4.3\cdot 10^{-6} C}{-1.6\cdot 10^{-19} C}=2.69\cdot 10^{13}[/tex]
D) [tex]3.75\cdot 10^{13}[/tex]
The net charge on the positive cork is
[tex]q_1 = +6.0\cdot 10^{-6}C[/tex]
We know that the charge of a single electron is
[tex]e=-1.6\cdot 10^{-19}C[/tex]
The net charge on the positive cork is due to the "absence" of N excess electrons, so we can write
[tex]q_1 = -Ne[/tex]
and solving for N, we find the number of electrons lost by the cork:
[tex]N=-\frac{q_1}{e}=-\frac{+6.0\cdot 10^{-6} C}{-1.6\cdot 10^{-19} C}=3.75\cdot 10^{13}[/tex]
A hockey puck is set in motion across a frozen pond. If ice friction and air resistance are neglected, the force
required to keep the puck sliding at constant velocity is
A) the weight of the puck divided by the mass of the puck.
B) the mass of the puck multiplied by 9.8 meters per second per second.
C) qual to the weight of the puck.
D) zero newtons.
E) none of these.
Answer:
D) Zero newtons
Explanation:
According to the First Newton Law:
"An object keeps its state of rest or its state of uniform motion at constant velocity, when the net force acting on the object is zero"
In this problem, the hockey puck is initially set in motion. While in motion, there are no ice friction and air resistance acting on it: this means that the net force acting on it is zero, so there is no need for an additional force to keep the puck in its state of uniform motion at constant velocity, according to the abovementioned law.
Therefore, the correct answer is
D) zero newtons
In line with Newton's First Law of Motion, the force required to keep a hockey puck sliding at constant velocity on a frictionless surface is zero newtons, because it moves at a constant velocity unless acted upon by an unbalanced force.
Explanation:The answer is D) zero newtons. According to Newton's First Law of Motion, an object will continue to move at a constant velocity unless acted upon by an unbalanced force. When the hockey puck is in motion on a frictionless surface, it keeps moving at a steady velocity without the need for an additional force. The net force acting on the puck is zero. Thus, no extra force is required to maintain its constant velocity.
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How many days does it take for mercury to orbit the sun
It takes approximately 88 Earth days for Mercury to orbit the sun.
Hope I helped, sorry if I'm wrong ouo.
~Potato
Copyright Potato 2019.
Answer:
87.96926 Days =88 days
Explanation:
Average speed 105,947 miles per hour.
An elevator filled with passengers has a mass of 1700 kg. (a) The elevator accelerates upward from rest at a rate of 1.20 m/s^{2} 2 for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 m/s^{2} 2 for 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?
(a) 18717 N
Newton's second law in this situation can be written as:
[tex]\sum F = T-W = ma[/tex] (1)
where
T is the tension in the cable, pointing upward
W is the weight of the elevator+passengers, pointing downward
m is the mass of the elevator+passengers (1700 kg)
a is the acceleration of the system (1.20 m/s^2, upward)
The weight is equal to the product between the mass, m, and the gravitational acceleration, g:
[tex]W=mg=(1700 kg)(9.81 m/s^2)=16,677 N[/tex]
So now we can solve eq.(1) to find T, the tension in the cable:
[tex]T=W+ma=16,677 N +(1700 kg)(1.20 m/s^2)=18,717 N[/tex]
(b) 16677 N
In this situation, the elevator is moving with constant velocity: this means that its acceleration is zero,
a = 0
So Newton's second law becomes
[tex]\sum F = T-W = 0[/tex]
and so we find
[tex]T=W=16,677 N[/tex]
(c) 15657 N
During the deceleration phase, Newton's second law can be written as:
[tex]\sum F = T-W = ma[/tex] (1)
Where the acceleration here points downward (because the elevator is decelerating), as the weight W, so we can write it as a negative number:
a = -0.600 m/s^2
we can solve the equation to find T, the tension in the cable:
[tex]T=W+ma=16,677 N +(1700 kg)(-0.600 m/s^2)=15,657 N[/tex]
(d) 19.35 m, 0 m/s
Distance covered during the first part of the motion; we know that
u = 0 is the initial velocity
a = 1.20 m/s^2 is the acceleration
t = 1.50 s is the time
So the distance covered is given by
[tex]d_1=ut + \frac{1}{2}at^2 = (0)(1.50 s)+\frac{1}{2}(1.20 m/s^2)(1.50 s)^2=1.35 m[/tex]
and the final velocity after this phase is
[tex]v_1=u+at=0+(1.20 m/s^2)(1.50 s)=1.8 m/s[/tex]
During the 2nd part of the motion, the elevator moves at constant speed of 1.8 m/s for t=8.50 s, so the distance covered here is
[tex]d_2 = v_1 t =(1.8 m/s)(8.50 s)=15.3 m[/tex]
Finally, in the third part the elevator decelerates at a = -0.600 m/s^2 for t = 3.00 s. So, the distance covered here is
[tex]d_3 = v_1 t + \frac{1}{2}at^2=(1.8 m/s)(3.00 s) + \frac{1}{2}(-0.600 m/s^2)(3.00 s)^2=2.7 m[/tex]
and the final velocity is
[tex]v_3 = v_1 +at = 1.8 m/s +(-0.600 m/s^2)(3.00 s)=0[/tex]
and the total distance covered is
[tex]d=d_1 +d_2+d_3=1.35 m+15.30 m+2.70 m=19.35 m[/tex]
The minimum energy required for an effective collision is called
Answer:
Activation Energy
Explanation:
Effective collisions are those that result in a chemical reaction. In order to produce an effective collision, reactant particles must possess some minimum amount of energy. This energy, used to initiate the reaction, is called the activation energy.
The alpha particles leave visible tracks in the cloud chamber because
Ionization by the alpha particle seeds the formation of clouds where the particle has passed.
The kinetic energy of the alpha particles heats the air.
The alpha particle is so energetic that it leaves a smoke trail behind.
The alpha particle strikes nitrogen molecules and breaks them into atomic nitrogen.
The inner atmosphere of a cloud chamber is composed of an easily ionizable gas, this means that little energy is required to extract an electron from an atom. This gas is maintained in the supercooling state, so that a minimum disturbance is enough to condense it in the same way as the water is frozen.
Then, when a charged particle with enough energy interacts with this gas, it ionizes it.This is how alpha particles are able to ionize some atoms of the gas contained inside the chamber when they cross the cloud chamber.
These ionized atoms increase the surface tension of the gas around it allowing it to immediately congregate and condense, making it easily distinguishable inside the chamber like a small cloud. In this way, it is perfectly observable the path the individual particles have traveled, simply by observing the cloud traces left in the condensed gas.
(Please Help, Will Give BRAINLIEST Answer)
A 50.0-kilogram skydiver jumps from an airplane and is in freefall for 20 seconds.
Immediately before she opens her parachute, her kinetic energy is 78,400 joules.
If the amount of heat her motion transferred to her surroundings during freefall was 884,000 joules, how far did she fall during her freefall?
(Assume the skydiver's gravitational potential energy is only transformed into heat and kinetic energy, and assume the rate of acceleration due to Earth's gravity is 9.81 m/s/s.)
A. 1,960 meters
B. 1,560 meters
C. 9,620 meters
Answer:
A
Explanation:
Initial gravitational energy = final kinetic energy + heat
mgh = KE + Q
(50 kg) (9.81 m/s²) h = 78400 J + 884000 J
h = 1960 meters
A sealed bottle is full of air. The volume of the bottle is decreased, but the temperature remains constant. What other change occurs in the bottle?
Answer:
The air pressure will increase.
Explanation:
Answer:The pressure of the gas in the bottle increases
Explanation:this is governed by Boyles law which states that at constant temperature,the volume of a gas is inversely proportional to it's pressure ,i.e mathematically V&1/P at constant temperature,this can be further arranged as P1V1=P2V2.the implication of this formula is that as volume of gases increases,it pressure is decreasing and vice versa.
It is important to note that the constant here is the absolute temperature of the bottle
When the flashlight is in the air and the refracted ray enters the water, how does the angle of refraction compare with the angle of incidence?
Answer:
The refracted angle will be less than the angle of incidence and the speed of light is slower in the new medium (which is water) and is closer to the normal.
Try remembering this by using FST SFA (Fast Sofa)
Fast -> Slow = Towards the normal
Slow -> Fast = Away from normal
When the flashlight is in the air and the refracted ray enters the water, the angle of refraction will be less than the angle of incidence.
What is refracted ray?When the light ray falls on the surface with angle of incidence, the lights gets reflected in the same medium with angle of reflection. The remaining rays gets into the medium on the other side of the surface.
The refracted angle is always less than the angle of incidence and the speed of light is slower comparatively in the another medium.
Thus, when the flashlight is in the air and the refracted ray enters the water, the angle of refraction will be less than the angle of incidence.
Learn more about refracted ray.
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Which of the following statements are true concerning a stable nucleus?Check all that apply..There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force.A stable nucleus contains a larger number of neutrons than protons.There is no limit to the size of a stable nucleus because of the great strength of the strong nuclear force.A stable nucleus contains nearly equal numbers of protons and neutrons.A stable nucleus contains a larger number of protons than neutrons.
Answer:
There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force
A stable nucleus contains nearly equal numbers of protons and neutrons
Explanation:
For an atom nucleus to be stable it has to have a balance between the strong nuclear forces keeping the protons and neutrons together against the repulsive electrostatic forces of the positively charged protons. When the nucleus is too large, the binding energy of the strong nuclear forces, that act over a short range, may not be sufficient to hold the nucleus together hence causing instability.
By what factor does the peak frequency change if the celsius temperature of an object is doubled from 20.0 ∘c to 40.0 ∘c?
Answer:
it increases by a factor 1.07
Explanation:
The peak wavelength of an object is given by Wien's displacement law:
[tex]\lambda=\frac{b}{T}[/tex] (1)
where
b is the Wien's displacement constant
T is the temperature (in Kelvins) of the object
given the relationship between frequency and wavelength of an electromagnetic wave:
[tex]f=\frac{c}{\lambda}[/tex]
where c is the speed of light, we can rewrite (1) as
[tex]\frac{c}{f}=\frac{b}{T}\\f=\frac{Tc}{b}[/tex]
So the peak frequency is directly proportional to the temperature in Kelvin.
In this problem, the temperature of the object changes from
[tex]T_1 = 20.0^{\circ}+273=293 K[/tex]
to
[tex]T_2 = 40.0^{\circ}+273 = 313 K[/tex]
so the peak frequency changes by a factor
[tex]\frac{f_2}{f_1} \propto \frac{T_2}{T_1}=\frac{313 K}{293 K}=1.07[/tex]
Infrared rays have a shorter wavelength than
Answer:
Microwaves and radio waves
Explanation:
The electromagnetic spectrum is the classification of the electromagnetic waves according to their wavelength.
From shortest to longest wavelength, they are classified as follows:
Gamma rays < 6 pm
X-rays 6 pm - 10 nm
Ultraviolet 10 nm - 380 nm
Visible light 380 nm - 750 nm
Infrared radiation [tex]750 nm - 5 \mu m[/tex]
Microwaves [tex]5 \mu m -0.3 m[/tex]
Radio waves > 0.3 m
From the list, we see that infrared rays have shorter wavelength than microwaves and radiowaves.
Infrared rays have longer wavelengths than visible light and ultraviolet radiation, falling in the range of 0.74(5m) to 1 mm, and are typically emitted by objects near room temperature. They are lower in energy and frequency compared to ultraviolet radiation, and are responsible for the warming sensation experienced when absorbed by the skin.
In answer to your question: Infrared rays have a shorter wavelength than microwaves. Infrared radiation, including infrared rays, falls below visible light in the electromagnetic spectrum with longer wavelengths and shorter frequencies than visible light. It ranges from about 0.74 micrometers (5m) to 1 millimeter (mm), corresponding to frequencies roughly from 300 gigahertz (GHz) to 400 terahertz (THz). Infrared rays are of lower energy compared to not only visible light but also ultraviolet radiation, which has a shorter wavelength and higher frequency than both visible light and infrared radiation.
Objects near room temperature emit most of the thermal radiation in the infrared range. Infrared light is emitted or absorbed by molecules when they change their rotational-vibrational movements. The sensation of warmth we often associate with infrared waves is due to the absorption of this radiation by our skin, which causes molecules to vibrate and increase in kinetic energy.