The Bohr model of an atom failed to explain the spectral lines of more complex atoms. Therefore, the wave model can correctly provide all of these, but the Bohr model fails for one. The spectral lines are one of the key pieces of evidence that the Bohr model is incorrect because it fails to describe them.
explanation to support the above statement: The Bohr model of the atom is no longer an accurate representation of an atom. Although it works for simple atoms such as hydrogen, more complex atoms cannot be described by the Bohr model. Electrons in atoms have wave-like and particle-like characteristics. This implies that they have both energy and momentum. To locate an electron within an atom, scientists must employ mathematical functions that describe the electron's probability of being in a particular region of the atom. The Bohr model fails to explain the spectral lines of more complex atoms. The Bohr model is unable to explain the phenomenon of spectral lines in more complex atoms, which is one of the most important reasons for its failure. When elements are exposed to energy, such as light or electricity, their atoms emit light at particular wavelengths. These wavelengths create the atom's unique spectral lines. Electrons emit energy when they move from a higher energy level to a lower one. The wavelengths of the emitted radiation can be used to determine the difference in energy between the two energy levels. The Bohr model was unable to clarify these spectral lines because it did not include the possibility of energy transitions from other energy levels.
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Calculate the momentum and velocity of:
a) An electron having a de Broglie wavelength of 2.0 × 10-⁹ m.
b) A proton of mass 1.67 x 10-27 kg and a de Broglie wavelength of 5.0 nm.
19. Calculate the associated de Broglie wavelength of the electrons in an electron beam which has
been accelerated through a pd of 4000V.
20. An alpha particle emitted from a radon-220 nucleus is found to have a de Broglie wavelength of
5.7 x 10-15 m. Calculate the energy of the alpha particle in MeV.
We can apply the de Broglie equation: = h/p, where h is the Planck constant (6.626 x 10-34 J.s), p is the momentum, and is the wavelength. P = h/ = (6.626 x 10-34 J.s)/(2.0 x 10-9 m) = 3.313 x 10-25 kg.m/s is the result of solving for p.
How is an electron's wavelength determined?Using the de Broglie relation between the momentum p and the wavelength of an electron (=h/p, where h is the Planck constant), the wavelength of an electron is computed for a given energy (accelerating voltage).
How can one determine an electron's de Broglie wavelength?To get the electron's wavelength, use the de Broglie wave equation, hmv.
Step 2 is to compute. λ=hmv=6.626×10−34J⋅s(9.11×10−31kg)×(3.00×108m/s)=2.42×10−12m.Step 3: Consider your outcome. This minute wavelength
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6. The engine of the car drives the car with a force of 700 N
with a speed of 40 m/s
If thrust, calculate the engine power.
ok
Here work done by the car against the force of air in each second denotes the power needed to overcome air resistance at that particular speed. The power of engine is 28 kW.
What is power?The power of an object denotes the rate of performing the work. It is defined as the work done in unit time. The SI unit of power is Watt (W) which is also called joules per second.
Power = Resistance × Speed of vehicle
Here the air resistance is found to be 700 N. Then,
Power = 700 × 40 = 28000 N m/s = 28 kW
Thus the engine power is 28 kW.
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Among the bodies in our solar system are asteroids, moons, planets and the Sun. Which statement least supports the theory that gravity helped form our solar system?
A.The Sun consists primarily of gases.
B.Many objects in space are spherical in shape.
C.Planets revolve around an object of greater mass.
D.Planets form by small masses combining into larger masses.
Answer:
A
Explanation:
Approximately 4.6 billion years ago, the solar system was a cloud of dust and gas known as a solar nebula. Gravity collapsed the material in on itself as it began to spin, forming the sun in the center of the nebula. ... Small particles drew together, bound by the force of gravity, into larger particles.
The Sun consists primarily of gases least supports the theory that gravity helped form our solar system.
What is the Solar System?The Solar System can be defined as the gravitationally bound system of the Sun and the objects that orbit it. Our solar system is formed 4.6 billion years ago from the gravitational collapse of a giant molecular cloud. The vast majority of the mass is in the Sun, with most of the rest mass contained in the planet Jupiter.
The four giant planets of the solar system are substantially larger and extremely massive than the terrestrials planets. Jupiter and Saturn, are gas giants, being made of mainly of hydrogen and helium.
The initial molecular cloud was several light-years across and probably birthed several stars. It consisted mostly of hydrogen, with some helium, and little amounts of heavier elements fused by generations of stars.
This region would become the Solar System, called as the pre-solar nebula collapsed, conservation of angular momentum caused it to rotate.
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When a carpenter shuts off his circular saw, the 10.0-inch diameter blade slows from 48300 rpm to 0 in 2.00 s . Part A What is the angular acceleration of the blade? (rev/s2 ) Part B What is the distance traveled by a point on the rim of the blade during the deceleration? (ft) Part C What is the magnitude of the net displacement of a point on the rim of the blade during the deceleration? (in)
Part A: -2513.7 rev/s²Part B: 1082.3 ftPart C: 12988 in (rounded to the nearest inch).The solution to the problem is shown below:
Part A
The initial speed of the blade when it's shut off = 48300 rpm (revolutions per minute)
The final speed of the blade when it comes to rest = 0 rpm (revolutions per minute)The time it takes for the blade to come to rest = 2.00 s
The angular acceleration of the blade can be determined by using the formula below:
angular acceleration (α) = (ωf - ωi)/t
where,ωi = initial angular velocity of the blade
ωf = final angular velocity of the bladet
= time taken by the blade to come to restSubstituting the given values in the above formula, we get:
α = (0 - 48300 rpm)/(2.00 s)
= -24150 rpm/s
The negative sign indicates that the blade's angular velocity is decreasing.Part BThe distance traveled by a point on the rim of the blade during deceleration can be determined by using the formula for displacement with constant angular acceleration:
θ = ωit + (1/2)αt²
where,θ = angular displacement of a point on the rim of the blade during deceleration
ωi
= initial angular velocity of the blade
= 48300 rpm
= 5058.8 rad/st
= time taken by the blade to come to rest
= 2.00 sα
= angular acceleration of the blade
= -24150 rpm/s
= -2513.7 rad/s²
Substituting the given values in the above formula, we get:
θ = (5058.8 rad/s)(2.00 s) + (1/2)(-2513.7 rad/s²)(2.00 s)²
= 8105.3 rad
≈ 1298.8 revolutions
The distance traveled by a point on the rim of the blade during deceleration can be calculated using the formula for arc length of a circle:
S = rθwhere,'
r = radius of the blade = 10.0 in
S = distance traveled by a point on the rim of the blade during deceleration
S = (10.0 in)(1298.8 revolutions)
= 12988 in
≈ 1082.3 ft Part C
The magnitude of the net displacement of a point on the rim of the blade during deceleration is the same as the distance traveled by a point on the rim of the blade during deceleration.
S = 1082.3 ft (rounded to the nearest inch)
Answer: Part A: -2513.7 rev/s²Part B: 1082.3 ft Part C: 12988 in (rounded to the nearest inch)
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I need help with the 1st and the 3rd one plzzzzzzzzzzzzz
Answer for the first one is 2. The answer for the 3rd one is 8
Explain how the mass of a planet affects the motion of the planet around the sun? Justify your response in two or more
complete sentences in the essay box below.
The mass of a planet affects the motion of the planet around the sun through the force of gravity.
How does mass affect motion of planets?According to Newton's law of universal gravitation, every object in the universe attracts every other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
The greater the mass of a planet, the stronger its gravitational pull and the more it affects the motion of other celestial objects in its vicinity, including its own orbit around the sun.
In summary, the mass of a planet is a crucial factor that determines its motion around the sun, as it affects the strength of the gravitational forces acting on the planet and its orbit.
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Which of the following would not be considered as projectile?a. A cannonball rolling down a slope.b. A cannonball thrown through the air.c. A cannonball rolling off the edge of a table.d. All of the above.
A cannonball rolling off the edge of a table would not be considered as a projectile. Hence the correct option is C.
A projectile is an object that is launched into the air and moves under the influence of gravity.
It typically follows a parabolic trajectory.
In options a and b, the cannonball is either rolling down a slope or thrown through the air, both of which involve the cannonball being launched and moving under the influence of gravity.
However, in option c, the cannonball is simply rolling off the edge of a table, which does not involve any launch or initial velocity. It is just rolling due to the force of gravity acting upon it. Therefore, option c would not be considered as a projectile.
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A shopping cart moves from a point 3.0m west of a flagpole to a point 18.0m east of the flagpole in 2.5s. Find its average velocity.
Answer:
6
Explanation:
Average velocity = (change in position) / (change in time)
Therefore, (18-3) / 2.5 = 6
The average velocity of the shopping cart is 8.4 meters per second, directed towards the east.
To find the average velocity of the shopping cart, we'll use the formula for average velocity:
Average velocity = (change in displacement) / (change in time)
The change in displacement is the difference between the final position and the initial position of the shopping cart. Since the cart moves from 3.0m west of the flagpole to 18.0m east of the flagpole, the change in displacement will be:
Change in displacement = 18.0m - (-3.0m) = 18.0m + 3.0m = 21.0m
Now, we'll calculate the average velocity:
Average velocity = (21.0m) / (2.5s) = 8.4 m/s
Hence, the average velocity of the shopping cart is 8.4 meters per second, directed towards the east.
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A student moves a box across the floor by exerting 56.7 N of force and doing 195 J of
work on the box. How far does the student move the box?
A.3.4 m
B. 11,056 m
C.138 m
D.0.29 m
Answer:
A. 3.4 m
Explanation:
Given the following data;
Force = 56.7N
Workdone = 195J
To find the distance
Workdone is given by the formula;
\( Workdone = force * distance\)
Making "distance" the subject of formula, we have;
\( Distance = \frac {workdone}{force} \)
Substituting into the equation, we have;
\( Distance = \frac {195}{56.7} \)
Distance = 3.4 meters.
Shortly after receiving a traffic ticket for speeding, Fred made numerous comments about the road signs being inadequate and is GPS telling him a different speed limit. This would be an example of:
Answer:
External locus of control
Explanation:
External locus of control is an attitude people possess that makes them attribute their failures or successes to factors other than themselves. The opposite of this type of attitude is the Internal locus of control where the individuals take responsibility for the outcomes of their actions whether good or bad. One good thing about the external locus of control is that when the individuals with this characteristic record successes, they attribute it to others and this presents them as people with team spirit. However, when they record failures, they do not want to take the blame, but rather attribute it to others.
Fred exhibits an external locus of control because he attributed his speeding to other factors like the road signs and GPS instead of fully admitting that it was his fault.
A hummingbird beats it’s wings up and down 60 times a second what is the frequency and period
Answer:
Period = 0.0167 seconds
Frequency = 60 Hz
Explanation:
Period: This can be defined as the time take by a wave to complete on cycle. The S.I unit is (s)
Frequency: This is the number of cycle completed by a wave. The S.I unit is (Hz)
From the question,
T = t/n................................... Equation 1
Where T = period, t = time take to complete n oscillation, n = number of oscillation.
Given: t = 1 seconds, n = 60.
Substitute these values into equation 1
T = 1/60
T = 0.0167 seconds.
Also,
F = 1/T........................... Equation 2
Where F = frequency
Given: T = 0.0167 seconds,
Substitute these value into equation 2
F = 1/0.0167
F = 60 Hz
Shelby the Skater's rocket provides a forward force of
220 Newtons. Shelby has a mass of 60. kg. If friction
provides a resistive force of 30. Newtons, then at what
rate does Shelby accelerate? Show all work.
Answer:
\(a=3.17\ m/s^2\)
Explanation:
Given that,
Force force acting on the Skater's rocket is 220 N
Resistive force acting on it, F' = 30 N
Mass of Shelby, m = 60 kg
We need to find the acceleration of Shelby. Net force acting on Shelby is given by :
Net force = 220-30
= 190 N
The formula of net force is :
F = ma
a is acceleration of Shelby
\(a=\dfrac{F}{m}\\\\a=\dfrac{190}{60}\\\\a=3.17\ m/s^2\)
So, the acceleration of Shelby is \(3.17\ m/s^2\)
5. Explain the law of conservation of energy using a relevant example from every day life.
The law of conservation of energy states that energy is neither created nor destroyed but is transformed from one form to another.
What is law of conservation of energy?The law of conservation of energy is the law that states that energy is neither created nor destroyed but is transformed from one form to another.
Examples of activities of everyday life that shows the conservation of energy include the following:
For loudspeaker, electrical energy is converted into sound energy.For a microphone, sound energy is converted into electrical energy.For a generator, mechanical energy is converted into electrical energy.When fuels are burnt, chemical energy is converted into heat and light energyLearn more about energy here:
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An example of the law of conservation of energy is a roller coaster.
What is the law of conservation of energy?The law of conservation of energy states that energy cannot be created or destroyed, only transferred or transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time.
A roller coaster car gains kinetic energy as it moves down the track, but it also loses potential energy. At the bottom of the track, the car has the most kinetic energy and the least potential energy, while at the top of the track, it has the most potential energy and the least kinetic energy. However, the total amount of energy in the system remains constant.
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what wrinkle resistance angle would you predict for a fabric specimen having an absorbance of 0.360? (round your answer to two decimal places.)
For a fabric specimen having an absorbance of 0.360,The absorbance value is 369.89.
Wrinkle-free or permanent ironing or permanent ironing is a textile finishing process that avoids wrinkles and creases and improves the appearance of items. Most cellulosic fabrics and cellulosic fabric blends tend to wrinkle or wrinkle.
Calculation:-
The equation is
y = 321.878 + 156.711x
= 321.878 + 156.711 × (0.360)
= 396.89.
Describes fabrics or garments that have been treated to retain their smooth appearance, shape, wrinkles, and/or creases after washing. Such garments require little or no ironing, especially if the garment has been tumble dried. Also called permanent press finish.
Wool woven shirts do not wrinkle easily, whereas 100% linen and cotton linen blend shirts naturally wrinkle easily. Fabrics made from synthetic materials that have inherent stretches, such as nylon and spandex, are also wrinkle-resistant.
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Scenario 2: A dam was built California in 1999 to block the Santa Ana River and help generate
hydroelectric power
1. What effects might this have on the environment?
Answer:
Some of the effects of a dam on the environment includes;
1) Increase in the amount of the greenhouse gases
2) Removal of the natural wetland and ocean carbon sinks
3) Disruption of the sources of nutrients in the ecosystem
4) Destruction of habitats
5) Raising of the sea levels and waste waters
6) Displace villages and communities
7) Dams have a potential to create flood risk
8) Dams lead to increased water loss due to evaporation and transpiration
9) Dams causes earthquakes
Explanation:
Dams are a source of renewable energy and are a means to prevent floods, however, dams can also have detrimental impact on the climate and the environment.
How did life evolve from nonliving matter?
Answer: it is proposes that in Earth's prebiotic history, simple organic matter was exposed to energy in the form of volcanoes and electrical storms
Explanation:
5. A truck starts from rest and rolls down a hill with a constant It travels a distance of 400 m in 20 s. Find its acceleration. Find the force acting on it if its mass is 7 tonnes (Hint: 1 tonne = 1000 kg.)
The acceleration of a body can be calculated using the following equation:
s = ut + ½at²
Where;
S = distanceu = initial velocityt = timea = acceleration400 = 0 × 20 + ½ × a × 20²
400 = 0 + 200a
a = 2m/s²
Force acting on the truck can be calculated by multiplying the mass of the truck by its acceleration as follows:
Force = 7000kg × 2m/s²
Force = 14,000N
Therefore;
the acceleration of the truck that starts from rest and rolls down a hill with a distance of 400m in 20s is 2m/s².The force acting on the truck if it's mass is 7 tonnes is 14,000N.Learn more about acceleration at: https://brainly.com/question/12550364
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A block on a horizontal surface of negligible friction is placed in contact with an ideal spring, as shown above. The block is moved to the left so that the spring is compressed a distance x from equilibrium and then released from rest. The block has kinetic energy k1 when it separates from the spring. When the spring is compressed a distance 2x and the block is released from rest, the kinetic energy of the block when it separates from the spring is:
Answer: 4K1
Explanation:
Check
What happens to the light coming from the Sun?
What happens to light on the surface of water?
What happens to light on the surfaces of rocks?
Photo by Andres Nieto Porras
What is the characteristic of the columns in the periodic table?
Answer: The periodic table also has a special name for its vertical columns. Each column is called a group. The elements in each group have the same number of electrons in the outer orbital.
Explanation: :)
what is momentum?
what is period of an oscillating body?
what is friction?
Answer:
Explanation:
Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
The period of an oscillating body is the smallest interval of time in which a system undergoing oscillation returns to the state it was in at a time arbitrarily chosen as the beginning of the oscillation.
Friction is a force between two surfaces that are sliding, or trying to slide, across each other. Friction always slows a moving object down. The amount of friction depends on the materials from which the two surfaces are made. The rougher the surface, the more friction is produced.
A 1000 kg
steel beam is supported by two ropes
A 1000 kg steel beam that is being supported by two ropes is a common example of a static equilibrium problem in physics.
When the beam is not moving, the net force acting on it must be zero, and the sum of the torques acting on it must also be zero. Since the beam is being supported by two ropes, the tension in each rope must be equal to half of the weight of the beam, which is 5000 N. This means that the total upward force acting on the beam is 10000 N, which is equal to the weight of the beam. To ensure that the beam remains in static equilibrium, the two ropes must be positioned such that the torques they produce are equal and opposite. The position and angle of the ropes can be calculated using the principles of torque and equilibrium.
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explain how the semicircular canals are specialized to assess rotational acceleration of the head, whereas the otolith organs are specialized to detect linear acceleration and static position of the head relative to the gravitational axis.
The semicircular canals are specialized to assess rotational acceleration of the head, while the otolith organs are specialized to detect linear acceleration and static position of the head relative to the gravitational axis. The semicircular canals contain fluid-filled channels arranged in three perpendicular planes, allowing them to detect angular movements of the head. On the other hand, the otolith organs consist of small calcium carbonate crystals suspended in gelatinous fluid, which respond to linear accelerations and changes in head position relative to gravity.
The semicircular canals are responsible for detecting rotational acceleration of the head. They are three fluid-filled canals positioned in different planes: the horizontal canal, anterior (superior) canal, and posterior (inferior) canal. Each canal has a bulge at one end called the ampulla, which contains hair cells that detect fluid movement. When the head rotates, the fluid within the canals also moves, bending the hair cells and signaling the brain about the rotational acceleration.
The otolith organs, consisting of the utricle and saccule, are specialized in detecting linear acceleration and static position of the head relative to the gravitational axis. These organs contain small calcium carbonate crystals called otoliths that are embedded in a gelatinous layer. When the head accelerates linearly or changes position relative to gravity, the otoliths move, causing the gelatinous layer to shift and stimulating the hair cells. This signals the brain about changes in linear acceleration and head position, including tilting or linear movements such as walking or riding in a vehicle.
In summary, the semicircular canals are designed to detect rotational acceleration, while the otolith organs are specialized in detecting linear acceleration and static position changes of the head relative to the gravitational axis. This division of sensory functions allows for a comprehensive assessment of different types of head movements and orientations in space.
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An ice cube is put into a heated pan. What will most likely happen to the molecules in the ice as the ice is heated
1. the molecules will begin to move slower
2.the molecules will begin to move faster
3. the molecules will begin to increase in density
4. the molecules will begin to condense in the air
Answer:
2 the molecules will move faster
Explanation:
the heat from the pay gives the molecules now energy causing the to spread out and move faster
A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) ____.
A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) n- dimensional array
an array of dimensions gives Information about the material composition for each point in the heterogeneous part is stored in N.
Similar to a one-dimensional array, a two-dimensional array is represented graphically as a grid (or table) with rows and columns.
A big gathering of objects or people is referred to as a "array," especially one that is eye-catching, inspires admiration, or has been arranged in a particular way: The spread of food on the table was magnificent. They were seated in front of numerous microphones and cameras. Related words and phrases are part of the SMART Vocabulary. Things in groups and collections
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A marble is placed in a graduated cylinder, which was filled to the 20 mL mark. The level rises to 40 mL. What happens to the volume of the water?
Answer:
Below
Explanation:
The volume of water remains the same....the new measurement now includes the volume of the marble ( 20 ml)
The Integrated circuit (microelectronic circuit on a chip) was first invented/developed in 1958 with milli-meter (1/1000 of a meter) device dimensions. Today, integrated circuits use 5 nano-meter (5/1000,000,000 of a meter) device dimensions. What have been the implications on computing and communications resulting from this million times shrinking of device dimensions over the past 6 decades. Be specific, like the impact on speed of computing, and sophistication of circuit functions, etc. 20 points
The shrinking of integrated circuit device dimensions over six decades led to faster computing, advanced circuit functions, improved power efficiency, and widespread advanced electronic devices.
Increased Computing Speed: As device dimensions have shrunk, the distance between transistors on a chip has decreased, enabling faster electrical signal propagation. This has led to increased clock speeds and faster processing capabilities, allowing for more complex computations and faster data processing.
Enhanced Circuit Functionality: With smaller device dimensions, more transistors can be integrated into a single chip. This has enabled the development of highly sophisticated and complex circuits, such as microprocessors, capable of performing intricate tasks.
The increased number of transistors has also facilitated the integration of various functionalities, such as memory, graphics processing, and communication capabilities, onto a single chip, leading to more versatile and powerful computing devices.
Improved Power Efficiency: Smaller device dimensions have reduced the distance that electrical signals need to travel within a chip. This has minimized the power losses associated with signal propagation, resulting in improved power efficiency. Additionally, the miniaturization of components has allowed for the development of low-power transistors, enabling energy-efficient operation and longer battery life in portable electronic devices.
Proliferation of Advanced Electronic Devices: The million-fold reduction in device dimensions has made it possible to produce smaller, lighter, and more compact electronic devices. This has led to the widespread adoption of smartphones, tablets, wearables, and other portable devices that offer advanced computing, communication, and multimedia capabilities. The miniaturization of integrated circuits has also enabled the development of Internet of Things (IoT) devices, smart sensors, and embedded systems, which have revolutionized various industries and aspects of everyday life.
Increased Integration and System Complexity: Shrinking device dimensions have allowed for greater integration of components and systems on a single chip. This has led to the development of system-on-chip (SoC) solutions, where multiple functions, such as processing, memory, and communication, are combined on a single integrated circuit. The increased integration and system complexity have contributed to the advancement of technologies like artificial intelligence, machine learning, and autonomous systems.
Cost Reduction: The continual shrinking of device dimensions has resulted in increased transistor density on a chip. This has led to higher production yields per wafer, driving down the manufacturing cost per transistor. The cost reduction has made advanced computing and communication technologies more affordable and accessible to a wider range of users, fostering their widespread adoption.
Overall, the million times shrinking of device dimensions in integrated circuits over the past six decades has had a profound impact on computing and communications, revolutionizing the speed, functionality, power efficiency, and size of electronic devices while enabling the development of new technologies and driving economic growth in the digital era.
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a force of 10 newtons pushes a box a distance of 1.86 m. how much work did the force do? do not include units in the answer.
When a force of 10 newtons pushes a box, then the work done is 18.6 joules.
Work done :
Work done is defined as the amount of energy used by a force to move an object.
W = Fd Its unit is joule.Force :
The push and pull of an object.Its unit is newton.A force pushes a box = 10 Newtons
Distance covered = 1.86m
work done is calculated as :
W = F x d
where
W = work done
F = force applied
d = distance covered by a box
W = 10 x 1.86
W = 18.6 joule.
so, the work done is 18.6 j.
When a force of 10 newtons pushes a box, then the work done is 18.6 joules.
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PLEASE HELP ASAP WILL GIVE BRAINLIEST
Answer:
Not testable.
Explanation:
The temperature of coffee can change, as the coffee gains or loses heat to the surroundings or the room temperature. For example, if you put a hot coffee in a cold room, the coffee will lose heat to the surroundings/room temperature, eventually making it colder.
Han and Greedo are at the rear and front of a relativistic train travelling at speed
u (with equivalent Lorentz factor gamma). As the train passes through a station (without
slowing), Han and Greedo are observed by the ticket collector on the platform to re
their laser blasters simultaneously. She also measures the length of the train to be LS.
Let the station and ticket collector be at rest in inertial frame S of the \standard
con guration", while the train, Han and Greedo are at rest in S0. De ne the origin
x0 = 0 of S0 to be Han's location at the rear of the train, and the origin x = 0 of S
to be the position of the rear of the train at the moment t = 0 in frame S when the
lasers are red.
i. Write down the (t; x) coordinates of the events corresponding to the ring of the
lasers in frame S, and transform them into S0 coordinates.
ii. Calculate the times in S0 when Han and Greedo each see the other fifi re their blaster.
iii. Comparing your results for parts (i) and (ii), could either Han or Greedo have red
their blaster in response to seeing the other shoot first?
Han and Greedo are at the rear and front of a relativistic train travelling at speed in opposite directions. In the frame of reference of the train (S'), Han is located at x' = 0, and Greedo is at x' = L'.
In the frame of reference of an observer standing beside the train tracks (S), the train is moving at velocity v in the positive x direction, and Greedo is located at x = vt and Han at x = L - vt. i. Derive the coordinate transformations between S' and S and express them in terms of the Lorentz factor .In S', x' = 0 and x' = L'. In S, x = vt and x = L - vt.The coordinate transformation from S' to S is:x = (x' + vt') .1)Similarly, the coordinate transformation from S to S' is:x' = (x - vt)................................(2)The Lorentz factor is given by: = 1/√(1-v²/c²)ii. What is the position of the rear of the train in frame S when the front of the train is at x = 0?When the front of the train is at x = 0, the position of the rear of the train in frame S is given by:x = L - vt = L - v(0) = Liii. Comparing your results for parts (i) and (ii), could either Han or Greedo have readied their blaster in response to seeing the other shoot firstNo, neither Han nor Greedo could have readied their blaster in response to seeing the other shoot first. This is because the distance between them is too great for any such response to be possible. According to equation (2), the distance between Han and Greedo in S' is L', which is shorter than the distance L in S. Therefore, the distance between them in S is:L > L' = LThus, they are too far apart in S to be able to react to each other's actions.For such more question on coordinate
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