Answer:
Net force = - 1500 N
Explanation:
We calculate the net force acting using Newton's second Law:
[tex]F_{net}=m*a\\F_{net}=(300 \,kg)*(-5\,m/s^2)\\F_{net}=-1500\,N[/tex]
Consider the circuit shown in (Figure 1) . Suppose that E = 11 V .
You may want to review (bookLink.gif pages 738 - 740) .
Part A
Find the current through the resistor a.
Express your answer to two significant figures and include the appropriate units.
Part B
Find the potential difference across the resistor a.
.Part C
Find the current through the resistor b.
Part D
Find the potential difference across the resistor b.
Part D
Find the potential difference across the resistor b.
Part E
Find the current through the resistor c.
Part F
Find the potential difference across the resistor c.
Part G
Find the current through the resistor d.
Part H
Find the potential difference across the resistor d.
The potential difference of a battery is 11V. Hence, the current through the resistor a is 1.1A.
What constitutes a potential difference?Possibly existing variation between any two points The amount of labour required to move a unit positive charge along any path between two places in the electric field is defined as the distance that can be traveled by the charge without accelerating.
What are resistors used for?A two-terminal passive electrical component used in electrical circuits to limit or regulate the flow of current. A resistor's primary function is to lower the voltage and reduce current flow in a specific area of the circuit.
Effective resistance of b, c and d
1/R => 1/(5+5)+1/10
R= 5Ω
V = IR
I = V/R ;
I = 11/(5+5) => 1.1A
Part A => 1.1A
Part B => (5 x 1.1) = 5.5V
Part C => I/2 => 1.1/2 => 0.55A
Part D => (0.55 x 10) => 5.5V
Part E => 0.55A
Part F=> 0.55 x 5 => 1.25V
Part G => 0.55A
Part H => 0.55 x 5 = 1.25V
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Let f be the function given by f ( x ) = 300 x − x 3 . On what intervals is the function increasing?
According to the given statement As a result, the function is getting stronger with time (10,infinity).
What is a simple definition for function?A relation in between collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
We must first find the derivative of the function and then identify the intervals where the derivative is positive in order to ascertain on which intervals the function is rising. F'(x) = 300 - 3x² is the derivative of f(x) = 300x - x3. By setting the derivative to zero and figuring out x, we may determine the function's crucial points:
f'(x) = 300 - 3x² = 0
3x² = 300
x^2 = 100
x = ±10
We can observe that for x -10 and for x > 10, the derivative of the function is negative. As a result, if x > 10, the function is growing.
Alternately, by examining the function's second derivative, f"(x) = -6x, we can also determine that the function is rising. The function is concave down and growing since it is always negative.
As a result, the function is getting stronger with time (10,infinity)
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draw the phasor for the emf e=(170v)cos((2π×60hz)t) at t=60ms.
The phasor diagram for the given emf has been drawn below and explained as well.
In electrical circuits, A phasor is a scaled line whose length represents an AC quantity that has both magnitude (peak amplitude) and direction (phase) frozen at some given time. It is generally represented by V=Vo sin(ωt+φ) where Vo represents the magnitude of the emf, ωt tells the phase at a given point in time and φ shows the initial stage.
In the given question-
(170V)cos((2π×60)t)
=(170V)sin(π/2-(2π×60)t)
ωt=2×π×60×60×10-³=7.2π
φ=π/2
Vo=170V
so, V at a given point will be,
V=170sin(π/2-7.2π)= -137.53 V
so, the phasor will look something like this(the image has been attached below).
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an object slides off a table 10 meters above the ground with an initial horizontal speed of 5 meters per second as shown above. Calculate the time between the objects leaving the table and hitting the ground
The time that have been taken for the ball to fall to the ground is 2 s.
What is the time that have been taken?We have to note that in this case, what we are trying to find is the time that have been taken. The question says that an object slides off a table 10 meters above the ground with an initial horizontal speed of 5 meters per second.
Now;
Distance that have been covered = 10 meters
Speed with which the ball falls = 5 meters per second
Speed = distance/Time
Time = Distance/Speed
Time = 10 m/5 m/s
Time = 2 s
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diagram below is a graph of the energy of a system of a planet interacting with a star. The gravitational potential energy Ug is s r1 r2 r, from star to planet Suppose that K+Ug of the system is A. Which of the following statements are true? O The system is a bound system; the planet can never escape O When the separation between the two bodies is r2, the kinetic energy of the system is (A-B). O When the separation between the two bodies is r2, the kinetic energy of the system is (B-C) O The potential energy of the system decreases as the planet moves from r to r2 O The kinetic energy of the system is greater when the distance between the star and planet is r1 than when the distance.
O The planet will escape Suppose instead that K+Ug of the system is B. Which of the following statements are true? O When the separation between the planet and star is r2, the kinetic energy of the system is zero O The planet and star cannot get farther apart than r2. O When the separation between the planet and star is 2, the potential energy of the system is zero. O This is not a bound system; the planet can escape
Correct statements are 1, 2, 4. The system is a bound system; the planet can never escape, When the separation between the two bodies is r2, the kinetic energy of the system is (B-C) and The potential energy of the system decreases as the planet moves from r to r2.
Correct options are as follows -
When the separation between the planet and star is r₂, the kinetic energy of the system is zero.
When the separation between the planet and star is r₂, the potential energy of the system is zero.
The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.
Therefore, the object's position is greater the higher the gravitational energy. Because it must fall a greater distance, a book on a higher shelf has more potential energy than one on the lowest shelf.
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Complete Question -
Which is more easily diffracted around the buildings AM or FM radio waves? Why?
FM radio waves are more easily diffracted around buildings than AM radio waves because they have lower frequencies and longer wavelengths.
What is wavelength?
Wavelength is the distance between two successive crests of a wave. It is the distance that a wave travels in one complete cycle, and is measured in meters or other units of length.
FM waves are able to bend around obstacles more easily than AM waves due to their longer wavelength. The longer wavelength of an FM wave allows it to bend and diffract around obstacles more easily than the shorter wavelength of an AM wave, which is more likely to be blocked or reflected by obstacles.
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Three loops of wire move near a long straight wire carrying a current as in the following figure. (a) What is the direction of the induced current, if any, in loop A ? Clockwise Counterclockwise No current is induced, (b) What is the direction of the induced current, if any, in loop B?
Clockwise Counterclockwise No current is induced.
a) Using Lenz's law, There is no induced current in loop A.
b) The direction of induced current is counter clockwise in the loop B.
According to Lenz's law, induced current will flow counterclockwise to resist the change in magnetic flux as the loop moves away from the wire.
How to determine the direction of current using Lens's law?The Lenz law, which states that the direction of electric current induced in a conductor by changing magnetic field is such that the magnetic field formed by induced current opposes the initial changing magnetic field, can be used to determine the direction of induced current. As a result, the magnetic field generated by the coil's current is directed in the opposite direction from the magnetic field outside.
The direction a positive charge would go is represented by the positive sign for current. The positive current arrow points in the opposite direction from where the electrons go because current in metal wires is carried by negatively charged electrons.
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Complete Question -
Rank the resolution of the same telescope used at different wavelengths. Rank ALL items.
Worst resolution to Best resolution of the telescopes -
radio waves, infrared, visible, ultraviolet, X-rays
Resolution is inversely correlated with primary mirror size. The value of, or the theoretical resolution, decreases as the mirror's diameter increases. Therefore, in theory, a large telescope can resolve more information than a small telescope at a particular wavelength.
Resolution improves with larger apertures and shorter wavelengths of light, which is dependent on the telescope's aperture. The smallest angular separation that the telescope can resolve is the resolving power, which is expressed as an angle.
Astronomical interferometers, a type of telescope array, are capable of producing telescopes with the highest angular resolutions: At optical wavelengths, these devices can attain angular resolutions of 0.001 arcsecond, and at x-ray wavelengths, they can achieve far higher resolutions.
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state the law of conservation of energy
Answer:
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.
Explanation:
I hope this quick explanation helps :D
Explanation:
Energy can neither be created or destroyed but can convert one form to the another
We assume the existence of a uniform electric field E0 =484 i N/C without specifying which charges are the cause. To this field is added that of a point charge q1 = 4 μC located at the origin. What is the resultant electric force acting on a charge q2 = 7 μC located at the point ( 6.7 m; 5.6 m)?
The resultant electric force acting on a charge q₂ is 0.0063 N.
What is electric force?Electric force is the repulsive or attractive interaction of two charged bodies. Newton's laws of motion describe the impact and effects of any force on a given body.
The x-component of electric force is
= {484 + 9×10⁹×4×10⁻⁶×6.7/(6.7²+5.6²)^(3/2)} × 7×10⁻⁶ N
= 0.0059 N
The y-component of electric force is
= 9×10⁹×4×10⁻⁶×5.6/(6.7²+5.6²)^(3/2)} × 7×10⁻⁶ N
= 0.0021 N
Hence, the resultant force is = √{(0.0059)²+(0.0021)²} N.
= 0.0063 N.
Hence, the resultant electric force is 0.0063 N..
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A body moving with uniform acceleration has a velocity of 14.2
when its a coordinate is 2.05. If its a coordinate 2.22 later is
-4.21, what is the x-component of its acceleration?
Answer in units of cm/s^2
Answer:
2.05 an $4.2 isn't the same result
Explanation:
no exceptions
4500 kj of work is done by a small engine in 7.2 s what power is supplied by the engine in this time interval ?
P equals 625000 watts The engine provides power during this period, enabling anything to be done or accomplished. political or governmental power
What does "force of life" actually mean?influencing oneself, others, and circumstances This kind of influence comes from personal qualities rather than institutional authority. Personal power is more of a mindset or attitude. Self-efficacy and collaboration skills are important to those with high personal power.
What is power, really?Real power is energy, and as our awareness and self-awareness expand, it grows from within. Being powerful depends on having insight. A person with true authority does not affect the world without taking the larger picture into account.
Work done by the steam engine, W=4500*10³J
Time taken to do work, t = 7.2 seconds
P=W/t
=4500*10³/7.2
=625000watt
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what is the total energy (in mev) released in the beta decay of a neutron?
Answer:
Neutron to Proton - Electron - anti-neutrino
Mass of Neutron - 1.0086654 u
Mass of Proton - 1.0072766 u
Mass of Electron - .000548597 u
1.0086654 - (1.0072766 + .0005486) = .0008402 units
i u = 931.478 Mev
.0008402 * 931.478 = .7826 Mev released
write the formula for isothermal compressibility (see example 5) in terms of p
Isothermal compressibility is given by K=−1V(∂V∂P)T.
What is meant by isothermal compressibility?
Isothermal compressibility is defined by the fractional differential change in volume due to a change in pressure.
What is the isothermal process?
An isothermal process is a thermodynamic process in which the temperature of a system remains constant. The transfer of heat into or out of the system happens so slowly that thermal equilibrium is maintained.
How is isothermal compressibility calculated?
To measure isothermal compressibility a known increment of pressure must be applied and the consequent isothermal volume change measured. During compression, however, heat is generated in the test liquid and must be dissipated before the volume change can be measured.
Is isothermal positive or negative?
The isothermal compression of the gas was performed in two ways, one irreversible and one reversible. The work done on the gas is positive because the gas is compressed; the surroundings do positive work on the gas.
Thus, the formula is K=−1V(∂V∂P)T.
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A typical human body has surface area 1.4 m2 and skin temperature 33∘C. If the body's emissivity is about 1, what's the net radiation from the body when the ambient temperature is 18∘C?
All objects—including humans—emit electromagnetic radiation. Temperature affects radiation wavelength. Thermal radiation describes this. Humans emit mostly infrared radiation at 12 microns. Infrared means "beyond the red" since its wavelength is longer than red visible light.
Objects emit thermal radiation based on their surface temperature, area, and features. Warmer objects radiate more heat. Infrared ear or forehead thermometers measure body temperatures by sensing infrared radiation. At airports, ports, and borders, infrared cameras examine feverish travelers quickly.
In meteorology, satellite photos depict cloud top and ocean/land surface infrared radiation intensities. Higher cloud tops are cooler and release less infrared radiation. Infrared satellite images show cloud top temperature distribution. Infrared satellite photos' "night vision" makes them useful 24/7, unlike visible images. Weather forecasters often utilize different colors (red, blue, green, etc.) to indicate cloud top temperatures to help them analyze cloud structure. However, most people prefer black-and-white cloud photos.
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two bodies of mass 8 kg and 4 kg move with velocities 11 meter per second and seven meter per second respectively if they Collide and stick together their speed after Collision is initially they move in opposite direction
Speed after Collision is initially they move in opposite direction = 9.6m/s
What is speed and what is its unit in physics?Speed is the rate of a distance's ensuing change in length over time. It has a dimension of time-distance. As a result, the fundamental unit of time with the basic unit for distance are combined to form that SI unit of speed. Thus, the metre per second (m/s) is the SI unit measure speed.
given-
M1 = 8 kg
M2= 4 kg
V1 = 11m/s
V2 = 7m/s
According to the law of momentum conservation
M1V1+M2V2= (M1+M2)V
V= 9.6m/s
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How much heat is required for isothermal process?
How much heat is required for adiabatic process?
Any process in which there is no heat transfer is referred to as adiabatic. This doesn't imply a constant temperature, just that no heat is being moved into or out of the system.
Temperature change in an isothermal process is zero, hence specific heat must be infinite.
The main distinction between these two processes is that there is no heat transfer from or to the liquid during the adiabatic process. The isothermal process, on the other hand, transfers heat to the environment in order to maintain a constant temperature throughout. There is a heat transfer.
The heat generated by an adiabatic process will be zero. The total amount of heat and work done constitutes the change in internal energy, according to the first law of thermodynamics.
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Hi so I have multiple questions, if it's possible, can anyone please help me do all 3? If you do, can you please label them like 1., 2., 3., including the answer? Thank you <3
1. Tyler asks to go get water, taking the hall pass. Rather than coming right back, she stands outside every teacher’s classroom, waving hi with the hall pass in her hand. She traveled 20 meters using a force of 0.5N to carry the hall pass. What is the amount of work Tyler did, rather than being in science?
Answer: ?
2. Suppose Julieta M. was putting on lip gloss and Ciara used 3N to take the lip gloss. She then hid it across the room for a total of 18 Joules of work. How many meters did Ciara walk across the room?
Answer: ?
3. Imagine that Yamielth and Cianna are asked to bring Mr. Williams a few copies of behavior charts for 6-2, taking the office pass. They traveled 4 meters, however, Yamileth completed 28 Joules of work while Cianna completed 36 Joules of work. Calculate the amount of force each girl used to get Mr. Williams the copies and which student used greater force.
Answer: ?
Answer:
Explanation:
1) The amount of work done by Tyler is equal to the force applied multiplied by the distance over which the force is applied. In this case, the force applied is 0.5 N and the distance is 20 meters. So, the work done is 0.5 N x 20 meters = 10 Joules
2) The work done is equal to the force applied multiplied by the distance over which the force is applied. In this case, the work done is 18 Joules and the force applied is 3 N. To find the distance, we can divide the work by the force: 18 Joules / 3 N = 6 meters
3) To find the force applied by each girl, we can use the formula work = force x distance.
Yamileth: 28 Joules = force x 4 meters => force = 28 Joules / 4 meters = 7 N
Cianna: 36 Joules = force x 4 meters => force = 36 Joules / 4 meters = 9 N
Yamileth used a force of 7 N to get Mr. Williams the copies and Cianna used a force of 9 N. Therefore, Cianna used greater force than Yamileth.
Consider a fusion reaction in which a proton fuses with a neutron to form a deuterium nucleus. How much energy is released in this reaction?(The mass of the deuterium nucleus is 2.01355u). Answer in Me
The difference in mass is then 2.01649u - 2.01355u = 0.00294u. This means that the energy released in this reaction is equal to 0.00294u × (c^2) = 4.621 x 10^-12 J.
What is mass?
Mass is a measure of the amount of matter an object contains. It is different from weight, which is a measure of the force gravity exerts on an object. Mass is typically measured in kilograms (kg) or grams (g).
The energy released in this reaction is equal to the mass difference between the products and the reactants multiplied by the speed of light squared. In this reaction, the mass of the reactants (1 proton and 1 neutron) is equal to 1.007825u + 1.008665u = 2.01649u.
The mass of the product (deuterium nucleus) is 2.01355u.
This means that the energy released in this reaction is equal to 0.00294u × (c^2) = 4.621 x 10^-12 J.
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A 2 kg object going 30 m/s feels a −4 N force for 8 seconds, find the object’s final velocity
When a 2 kg object going 30 m/s feels a −4 N force for 8 seconds, the final velocity of the object is 14 m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Initial momentum of the object = 2 kg× 30 m/s = 60 kg-m/s.
Impulse applied on the object = - 4 N×8 second = - 32 N-second.
Hence, final momentum of the object = (60 - 32) kg-m/s = 28 kg-m/s.
So, the final velocity of the object is= (28/2) m/s = 14 m/s
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Mitochondria have a "bag within a bag" structure. This structure is necessary in order to:
a) create a concentration gradient of certain molecules between the regions inside and outside the "inner bag," a form of potential energy.
b) keep molecules of ADP in close proximity to molecules of the ATP-synthesizing enzyme.
c) allow light-reactive accessory pigments to be embedded within the membranes.
d) segregate the most toxic digestive enzymes from molecules of ATP and NADP'.
e) None of the above.
Create a concentration gradient of certain molecules between the regions inside and outside the "inner bag," a form of potential energy.
What is potential energy?Potential energy is the energy stored in an object due to its position or chemical composition. It is the energy of an object that is ready to be released and converted into kinetic energy. Examples of potential energy include the energy stored in a compressed spring, the energy stored in a raised weight, the energy stored in a charged battery, and the energy stored in the bonds of molecules or atoms.
The inner and outer membranes of the mitochondria form a "bag within a bag" structure, which is necessary to create a concentration gradient of certain molecules between the inner and outer regions. This gradient allows for the formation of a potential energy source. This potential energy is used to drive the synthesis of ATP from ADP and the enzyme responsible for this reaction. This structure also helps to keep molecules of ADP close to the enzyme, thus allowing for efficient synthesis of ATP. Additionally, this structure allows for the embedding of light-reactive accessory pigments within the membranes. This way, they can absorb the energy of incoming light and convert it into chemical energy, which can then be used to power the synthesis of ATP.
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A scale model is a representation of an object that is _____ than the actual size of the object being studied.
Answer:
proportionally smaller
Explanation:
The Lyman series of emission lines of the hydrogen atoms are those for which nf = 1. a) determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed. b) Calculate the wavelengths of the first three lines in the Lyman series-those for which ni = 2,3,and 4. Please show all work
The Lyman series of emission lines of hydrogen atoms are observed in the ultraviolet region and the wavelengths of the first three lines are -822.5 nm, -364.6 nm and -182.3 nm.
a) The region of the electromagnetic spectrum in which the lines of the Lyman series are observed is the ultraviolet region.
The lines of the Lyman series are observed in the ultraviolet region because the energy levels involved in these transitions are located in the UV portion of the spectrum.
The series starts from the first excited state and ends with the ground state, each transition corresponds to a specific wavelength of UV light.
b) The wavelengths of the first three lines in the Lyman series can be calculated using Rydberg formula and specific values of [tex]n_{i[/tex] and [tex]n_{f}[/tex] :
λ = R(1 ÷ [tex]n_{i[/tex]² - 1 ÷[tex]n_{f}[/tex]²)
where λ is the wavelength, R is the Rydberg constant (approximately 1.097 x 10⁷ m⁻¹), [tex]n_{i[/tex] is the initial energy level, and [tex]n_{f}[/tex] is the final energy level.
For the first line ([tex]n_{i[/tex] = 2, [tex]n_{f}[/tex] = 1):
λ = 1.097 x 10⁷ m⁻¹ (1÷2² - 1÷1²) = 1.097 x 10⁷ m⁻¹ (1÷4 - 1) = 1.097 x 10⁷ m⁻¹ (-3÷4) = -822.5 nm.
For the second line ([tex]n_{i[/tex] = 3, [tex]n_{f}[/tex] = 1):
λ = 1.097 x 10⁷ m⁻¹ (1÷3² - 1÷1²) = 1.097 x 10⁷ m⁻¹ (1÷9 - 1) = 1.097 x 10⁷ m⁻¹ (-8÷9) = -364.6 nm.
For the third line ([tex]n_{i[/tex] = 4, [tex]n_{f}[/tex] = 1):
λ = 1.097 x 10⁷m⁻¹ (1÷4² - 1÷1²) = 1.097 x 10⁷ m⁻¹ (1÷16 - 1) = 1.097 x 10⁷ m⁻¹ (-15÷16) = -182.3 nm
Because it is in the ultraviolet portion of the electromagnetic spectrum, take note that the wavelength is negative.
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from an evolutionary perspective, the most basic division among all organisms on earth is among:
From an evolutionary standpoint, the division between bacteria, archaea, and eukarya is the most fundamental one among all living things on earth.
Since both Bacteria and Archaea are made up of unicellular organisms, scientists once believed that these two domains of life were the most closely linked to one another. The most closely linked domains, according to new genome sequencing data, are actually Archaea and Eukarya. Prokaryotic cells lack membrane-bound cell organelles such mitochondria, the Golgi apparatus, and chloroplasts, among other traits. There isn't a tightly confined, clearly defined nucleus. Circular DNA makes up genetic material, which is found bare in the cytoplasm of cells.
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Extending life? A free neutron lives about 1000 s before transforming into an electron and a proton. If a neutron leaves the Sun at a speed of 0,999c, (a) how long does it live according to an Earth observer? (b) Will such a neutron reach Pluto ( 5,9x10^-12 from the Sun) before transforming? Explain your answers
According to a recent study, assuming no nuclear holocaust, errant asteroid, or other catastrophe occurs, Earth may support life for at least another 1.75 billion years.
However, even in the absence of such terrifying end-of-the-the-world situations, cosmic forces will finally make the Earth inhabitable. The age of the Earth is 4.5 billion years. Nevertheless, in the six million years that people have been on Earth, they have had the chance to develop, According to a recent study, assuming no nuclear holocaust, errant asteroid, or other catastrophe occurs, Earth may support life for at least another 1.75 billion years.
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Diffraction Limit:
a) How far away can a human eye distinguish two car headlights 2.0m apart? Consider only diffraction effects and assume an eye pupil diameter of 6 mm and a wavelength of 560 nm.
b) What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects?
c) In reality, the minimum angular separation is about 1′ of arc. Why is it not equal to your answer in part b)?
The human eye can distinguish two car headlights 2.0m apart when the angular separation is about 0.03°.
What is diffraction?Diffraction is the bending of waves around an obstacle or through an opening. When light or sound waves encounter an obstacle, the waves are scattered and spread out in a pattern known as a diffraction pattern. The size and shape of the obstacle affects the amount of diffraction that occurs. The same is true for an opening, such as a slit or a hole, which causes the waves to spread out in multiple directions. Diffraction is an important concept in many areas of physics, such as optics, acoustics, and quantum mechanics.
This is calculated by using the formula θ = 1.22λ/D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the eye pupil. Assuming a light wavelength of 560nm and an eye pupil diameter of 6mm, the angular resolution is 0.03°.
The minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects, is 0.0003°. This is calculated using the same formula as before, only with the wavelength set to 550nm.
In reality, the minimum angular separation is about 1′ of arc, which is significantly larger than the answer calculated in part b). This is because diffraction effects are the only factor taken into account in part b), while in reality, other factors such as the eye's optical aberrations, the eye's accommodation, and atmospheric turbulence all play a role in limiting the resolution of the eye. Additionally, the eye's acuity is not constant and can be affected by fatigue and other factors. Thus, the true angular resolution of the eye is much lower than the theoretical limit calculated in part b).
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a downward force of 400 N is applied to the small piston with a diameter of 6 cm in the hudraulic lift system. What is the
a) upward force exerted by the large piston with diameter of 30 cm
b) if the input force pushes the small piston down by 25 cm how high will the large piston rise
Pressure will be constant at both ends, with the use of formula, the upward force is 10,000 N and the height is 625 cm
What is Pressure ?Pressure can simply be defined as a ratio of force to area. Hydraulic lift system makes use of pressure principles.
Given that a downward force of 400 N is applied to the small piston with a diameter of 6 cm in the hydraulic lift system.
What is the
a) upward force exerted by the large piston with diameter of 30 cm
Pressure will be the same at both end.
Since pressure P = F/A
The area of the piston = πr²
F1 = 400r1 = 6cm = 0.06 mF2 = ?r2 = 30 cm = 0.3mF1/A1 = F2/A2
Since π will cancel out, substitute the Force and radius r directly
400/0.06² = F/0.3²
F = 111111.1 × 0.09
F = 9999.99 N
F = 10,000 N
b) if the input force pushes the small piston down by 25 cm, we can know how height will the large piston rise by using the same formula
400/0.25 = 10000/L
1600 = 10000/L
L = 10000/1600
L = 6.25 m
L = 625 cm
Therefore, the upward force exerted by the large piston is 10,000 N approximately and the height is 625 cm
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The x component of velocity of a particle as a function of time is shown in (Figure 1) .
Part A
Over what intervals is the work done on the particle positive?
Check all that apply.
From a to b.
From f to g.
From d to f.
From b to c.
From d to e.
From e to f.
From c to d.
Part B
Over what intervals is the work done on the particle negative?
Check all that apply.
From d to e.
From d to f.
From e to f.
From a to b.
From c to d.
From f to g.
From b to c.
The x component of velocity of a particle as a function of time is shown in
Part A and Part B is explained below.
Velocity is a measure of the rate of change of an object's position in a given frame of reference. It is a vector quantity, meaning it has both magnitude and direction. Velocity is a fundamental concept in physics, and it is important in many areas such as mechanics, astronomy, and kinematics. Velocity is typically expressed in meters per second (m/s) and can be calculated by dividing the distance traveled by the time it took to travel that distance.
Part A
The work done on the particle is positive over the intervals a to b, f to g, d to f, b to c, d to e and e to f.
Part B
The work done on the particle is negative over the intervals d to e, d to f, e to f, a to b, c to d and f to g.
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A manufacturing company has a machine that can hold a maximum volume of 300 cm3 of liquid silver. This volume of liquid silver has a mass of approximately 2.8 kg. The company has a second machine that can only hold a maximum volume of 150 cm3 of liquid silver. What is the approximate mass of liquid silver that the second machine can hold?
Approximately 1.4 kg mass of liquid silver that the second machine can hold.
What is the approximate mass of liquid silver that the second machine can hold?The approximate mass of liquid silver that the second machine can hold is approximately 1.4 kg. To calculate this mass, one must understand the relationship between volume and mass, as the volume of a material can directly affect its mass.In this case, the first machine can hold a maximum volume of 300 cm3 of liquid silver, which has a mass of 2.8 kg. To calculate the mass of the second machine, one must divide the mass of the first machine by the volume of the first machine, and then multiply that number by the volume of the second machine.This equation looks like this: (2.8 kg/300 cm3) x 150 cm3 = 1.4 kg. Therefore, the approximate mass of liquid silver that the second machine can hold is approximately 1.4 kg. By understanding the relationship between volume and mass, one can accurately calculate the mass of a material that a machine can hold. In this case, the mass of the liquid silver that the second machine can hold can be calculated to be approximately 1.4 kg.This calculation can be useful for manufacturing companies, as it can help them to determine the amount of material their machines can hold in order to avoid any potential production issues.To learn more about The approximate mass of liquid silver refer to:
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A 68 kg college student's body has a typical density of 1050 kg/m3.
a: what is the volume?
0.0647 kg/m^3. is the correct answer .
What is Density ?
Density (volumetric mass density or specific mass) is the mass of matter per unit volume. The most common symbol for density is ρ (lowercase Greek letter rho), but the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.
[1] The density of matter varies with temperature and pressure. This variation is typically small for solids and liquids and much larger for gases. Increasing the pressure on an object decreases the volume of the object, thus increasing its density. Increasing the temperature of a substance (with some exceptions) increases its volume and decreases its density. In most materials, heating the bottom of the liquid causes convection of heat from the bottom to the top as the density of the heated liquid decreases, increasing the density compared to a denser, unheated material. To do.
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