Answer:
The answer for Work done is ≈224J or 224Nm
Explanation:
Work done=F×D
F=mg
F=W
d=15×22=330cm=3.3m
W=67.8×3.3
W=223.74J or 223.7Nm
W≈224J or 224 Nm
the value of the total radiant energy flux density at the earth from the sun normal to the incident rays is called the solar constant of the earth. the observed value integrated over all emission wavelengths and referred to the mean earth-sun distance is:
The observed value of the total radiant energy flux density at the earth from the sun, integrated over all emission wavelengths and referred to the mean earth-sun distance, is approximately 1,366 watts per square meter.
This value is known as the solar constant and is an important factor in understanding the earth's climate and energy balance. It represents the amount of solar energy that is received per unit area at the top of the earth's atmosphere and is a key input for models of global climate change.
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which one is not one of the functions of the screen pack and breaker plate at the die end of the extruder barrel?
Increasing the pressure inside the extruder barrel is not a function of the screen pack and breaker plate.
The screen pack and breaker plate have several functions, including:
1. Filtering out contaminants and impurities from the molten plastic.
2. Creating uniform melt flow.
3. Reducing pressure fluctuations.
However, they do not serve to increase the pressure inside the extruder barrel.
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A 55 kg skater is gliding along the ice at a velocity of 8 m/s to the right while holding a 3 kg ball. The skater throws the ball at a velocity of 4 m/s to the right. What will be the skaters velocity after throwing the ball?
Answer:
Speed of Skater = 8.16 m/s
Explanation:
Using kinetic energy:
[tex]M_{t} = M_{skater} + m_{ball}\\\frac{1}{2}M_{t}V_{i}^2 = \frac{1}{2}*M*V_{s} ^2+\frac{1}{2}*m*V_{b}^2\\ M_{t}V_{i}^2 = M_{s}*V_{s} ^2+m_{b}*V_{b}^2\\M_{t}V_{i}^2-m_{b}*V_{b}^2 = M_{s}*V_{s} ^2\\(M_{t}V_{i}^2-m_{b}*V_{b}^2)/M_{s} = V_{s} ^2\\V_{s} = \sqrt{\frac{(M_{t}V_{i}^2-m_{b}*V_{b}^2)}{M_{s}} } \\[/tex]
This gives the skater a velocity of 8.16 m/s after throwing the ball
wo astronauts are at rest in outer space, one 19.7 m from the space shuttle and the other 39.4 m from the shuttle. using a 121.0-w laser, the astronaut located 39.4 m away from the shuttle decides to propel the other astronaut toward the space shuttle. he focuses the laser on a piece of totally reflecting fabric on her space suit. if her total mass with equipment is 117.0 kg, how long will it take her to reach the space shuttle?
This is a very large amount of time, approximately [tex]3.6 x 10^5[/tex] years, which is not feasible for the astronauts.
We can use the conservation of momentum to solve this problem. Initially, the system (two astronauts and the laser) is at rest, so the total momentum is zero. When the laser is fired and the astronaut is propelled towards the shuttle, she gains some momentum in the direction of the shuttle, and the system as a whole gains an equal and opposite momentum.
First, we need to find the momentum gained by the astronaut. We can use the formula for the momentum of a photon:
p = h / λ
where p is the momentum, h is the Planck constant, and λ is the wavelength of the laser light. We are given the power of the laser (121.0 W), but we also need to know the energy of each photon. We can use the formula:
E = hc / λ
where E is the energy of a photon, c is the speed of light, and λ is the wavelength of the laser light. Rearranging this formula, we get:
λ = hc / E
Substituting the values and converting to SI units, we get:
[tex]λ = (6.626 x 10^-34 J s)(3.00 x 10^8 m/s) / (6.63 x 10^-19 J) = 3.13 x 10^-7 m[/tex]
Using this wavelength, we can find the momentum gained by the astronaut:
[tex]p = h / λ = (6.626 x 10^-34 J s) / (3.13 x 10^-7 m) = 2.12 x 10^-27 kg m/s[/tex]
This is the momentum gained by the astronaut in one photon.
To find the time it takes for the astronaut to reach the shuttle, we can use the impulse-momentum theorem:FΔt = Δp
where F is the force exerted by the laser, Δt is the time for which the force is applied, and Δp is the change in momentum of the astronaut. We can rearrange this formula to solve for Δt:
Δt = Δp / FThe force exerted by the laser can be found by dividing the power by the speed of light:
[tex]F = P / c = 121.0 W / 3.00 x 10^8 m/s = 4.03 x 10^-7 N[/tex]
Substituting the values, we get:
[tex]Δt = Δp / F = (2.12 x 10^-27 kg m/s) / (4.03 x 10^-7 N) = 5.27 x 10^-21 s[/tex]
This is the time it takes for the astronaut to gain the momentum needed to reach the shuttle. However, this time does not include the time it takes for the astronaut to travel the distance to the shuttle. We can use the average velocity of the astronaut to find this time:
v_avg = Δx / Δtwhere Δx is the distance to the shuttle. Substituting the values, we get:
[tex]v_avg = (39.4 m - 19.7 m) / (5.27 x 10^-21 s) = 3.80 x 10^22 m/s[/tex]
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to resolve two point sources, what distribution of cones must occur where the image strikes the retina?
The distribution of cones at the point of image formation is crucial in resolving two point sources
To resolve two point sources, a distribution of cones must occur where the image strikes the retina. Cones are responsible for color vision and high acuity vision, making them essential for resolving fine details such as two point sources.
In order for the brain to distinguish between two closely spaced points, each point must stimulate different cones. This can be achieved by having a distribution of cones at the point of image formation.
The cones should be spaced closely together to ensure that each point is detected by separate cones. The density of cones in the fovea, the area of the retina responsible for high acuity vision, is highest, allowing for the greatest resolution of point sources. .
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009 (part 1 of 2) 10.0 points A gas expands from I to F in the figure. The energy added to the gas by heat is 402 J when the gas goes from I to F along the diagonal path. 0 1 2 3 4 0 1 2 3 4 b b b b I A B F V (liters) P (atm) What is the change in internal energy of the gas? Answer in units of J. 010 (part 2 of 2) 10.0 points How much energy must be added to the gas by heat for the indirect path IAF to give the 2 same change in internal energy? Answer in units of J.
In the illustration, a gas from I to F. The energy contributed to the gas through heat is 474 J when the gas moves along the diagonal line from I to F.
In physics, what is heat?
In thermodynamics, heat is energy that, in some way besides through labor or the movement of matter, spontaneously flows between a system and the surroundings. Heat transfers naturally from a warmer to a cooler body when an appropriate physical pathway is present.
What category does heat fit into?
Based on this, heat is divided into two categories: hot and cold. We encounter heat energy everywhere, including in icebergs, earthquakes, and our own bodies. There is heat energy in all matter. Heat energy is the only thing that results from the movement of microscopic particles called as atoms, atoms, or ions in fluids, solids, and gases.
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what is the power, in diopters, of eyeglasses that will correct his vision when held 1.50 cm from his eyes?
To calculate the power, in diopters, of eyeglasses that will correct vision when held 1.50 cm from the eyes, you need to know the individual's refractive error in diopters.
Refractive error refers to the degree of near sightedness (myopia), farsightedness (hyperopia), or astigmatism that an individual has. This value is typically measured by an optometrist or ophthalmologist using a phoropter.
Once the refractive error is known, the power of the corrective eyeglasses can be determined by dividing the refractive error by the distance (in meters) between the glasses and the eyes. In this case, since the glasses are held 1.50 cm from the eyes, the distance in meters would be 0.015 meters.
For example, if the individual has a refractive error of -2.00 diopters, the power of the corrective eyeglasses when held 1.50 cm from the eyes would be -2.00 / 0.015 = -133.33 diopters.
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the four strings of a bass guitar are 0.865 m long and are tuned to the notes g (98 hz), d (73.4 hz), a (55 hz), and e (41.2 hz). in one bass guitar, the g and d strings have a linear mass density of 5.8 g/m, and the a and e strings have a linear mass density of 26.8 g/m. what is the total force exerted by the strings on the neck?
The total force exerted by the strings on the neck is 3061 N
We must determine the tension in each string and add it together to determine the overall force the strings are applying on the neck.
The wave speed equation may be used to determine the tension in a string:
v = fλ
where v is the speed of the wave (which is the same as the speed of the string), f is the frequency of the note, and λ is the wavelength of the wave (which is twice the length of the string).
For the g and d strings:
λ = 2(0.865 m) = 1.73 m
v = fλ
v_g = (98 Hz)(1.73 m) = 169.5 m/s
v_d = (73.4 Hz)(1.73 m) = 127.0 m/s
The tension in each string can be found using the wave equation:
T = [tex]μv^2/λ[/tex]
where T is the tension in the string, μ is the linear mass density of the string (mass per unit length), and v and λ are the speed and wavelength of the wave on the string.
For the g and d strings:
[tex]T_g = (5.8 g/m)(169.5 m/s)^2/1.73 m = 320 N[/tex]
[tex]T_d = (5.8 g/m)(127.0 m/s)^2/1.73 m = 196 N[/tex]
For the a and e strings
λ = 2(0.865 m) = 1.73 mv = fλ
v_a = (55 Hz)(1.73 m) = 95.2 m/sv_e = (41.2 Hz)(1.73 m) = 71.2 m/s
[tex]T_a = (26.8 g/m)(95.2 m/s)^2/1.73 m = 1643 N[/tex]
[tex]T_e = (26.8 g/m)(71.2 m/s)^2/1.73 m = 902 N[/tex]
The total force exerted by the strings on the neck is:
F_total = T_g + T_d + T_a + T_e
F_total = 320 N + 196 N + 1643 N + 902 N
F_total = 3061 N
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help please!!!!!!!!!!!
The circled vector on the diagram below represents the tension on the rope.
The option C is correct
What is tension?
Tension is described as the force transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends.
T = mg + ma
We know that the force of tension is calculated using the formula T = mg + ma.
In other terms, the pulling force that runs the length of a flexible connector, such a rope or cable, is known as tension. It is always pointed away from the force-applying object and along the length of the connector.
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if the merry-go-round starts at rest and acquires an angular speed of 0.5250 rev/s r e v / s in 5.00 s s , what is its mass?
We can use the formula for Newton's second law (F = ma) to find the mass of the merry-go-round, given the force and assuming that it accelerates uniformly.
The angular acceleration of the merry-go-round can be found using the formula:
angular acceleration = (final angular speed - initial angular speed) / time
angular acceleration = [tex](0.5250 rev/s - 0 rev/s) / 5.00 s = 0.105 rev/s^2[/tex]
Then, using the formula for torque (τ = Iα) and the moment of inertia of a solid disk (I = 0.5MR^2), we can find the torque exerted on the merry-go-round. Assuming that the torque comes from a person pushing on the edge of the disk, we can estimate the force exerted as F = τ / R, where R is the radius of the disk.
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How much heat does it take to raise the temperature of 5.0 kg of plastic from 15°C to 75°C? The specific heat of plastic is 2.60 kJ/(kg × °C).
where
m is the mass
c is the specific heat capacity
ΔT is the change in temperature
In your problem,
m=2.5 kg
c=2.60 kJ⋅°C-1kg-1
Δ
∴ q=2.5kg×2.60 kJ⋅°C-1⋅kg-1×60°C=390 kJ
Modern geologists have abandoned relative dating methods in favor of more precise absolute dating methods. True/False
False. Here is a step-by-step explanation:
1) Relative dating methods and absolute dating methods are two types of techniques used by geologists to determine the age of rocks and fossils.
2) Relative dating methods involve the study of the relationships between different geological formations and the relative order in which they were formed.
3) Absolute dating methods use radiometric techniques to determine the age of a rock or fossil based on the decay rate of radioactive isotopes.
4) Modern geologists use both relative and absolute dating methods, depending on the specific research question and the available data.
5) Relative dating methods are often used to establish a chronological framework for a geological sequence, based on the order in which events occurred.
6) For example, relative dating can be used to determine which geological events came first, second, third, and so on, in a particular area.
7) Absolute dating methods, on the other hand, are used to assign an actual age to a rock or fossil.
8) Absolute dating methods are generally more precise than relative dating methods, but they require the use of specialized equipment and techniques.
9) In many cases, geologists use both relative and absolute dating methods to establish a comprehensive understanding of the geologic history of a particular area.
10) Therefore, the statement that modern geologists have abandoned relative dating methods in favor of more precise absolute dating methods is false, as both methods are still widely used in the field of geology.
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What is the mass m of the elevator? use g=10m/s2 for the magnitude of the acceleration of gravity
If its mass is 500 kg and the acceleration due to gravity is 10 m/s^2, the weight of the elevator would be 5000 N (Newtons) .
To calculate the weight of the elevator, we can use the formula:
weight = mass * acceleration due to gravity
Given that the mass of the elevator is 500 kg and the acceleration due to gravity is 10 m/s^2, we can substitute these values into the formula and calculate the weight:
weight = 500 kg * 10 m/s^2
= 5000 N
Therefore, the weight of the elevator would be 5000 N (Newtons) if its mass is 500 kg and the acceleration due to gravity is 10 m/s^2.
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--The complete Question is, What would be the weight of the elevator if its mass is 500 kg, assuming that the acceleration due to gravity is 10 m/s^2? --
What is the mass of a 3920 newton desk?
Weight is defined as the force on an object that results from acceleration or gravity.
It can be calculated as:
W=mg
W= weight of an object (Newtons)
m = mass of the object (kilograms)
g = gravity (m/s^2)
given the information we can rearrange for m:
[tex]m=\frac{3920N}{9.8m/s^2}[/tex]
[tex]m=400 kg[/tex]
Where do I place the right ones
Cause: Human population grows worldwide.
Effect: Fossil fuels burn, cities become more industrialized, glaciers melt, climates change, and rain falls in unusual amounts.
What is global warming?Global warming refers to the long-term increase in Earth's average surface temperature, primarily due to the increasing levels of greenhouse gases, such as carbon dioxide, in the atmosphere. These gases trap heat from the sun, preventing it from radiating back into space and causing the Earth's temperature to rise.
Global warming has a range of potential impacts, including rising sea levels, more frequent and severe heat waves, changes in precipitation patterns, and more intense storms. It is considered one of the most significant and pressing environmental challenges facing the planet today.
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_____ refers to a method for scheduling media in which the airwaves (both cable and network tv channels) are flooded to make it virtually impossible to miss the ads.
Roadblock advertising".refers to a method for scheduling media in which the airwaves (both cable and network tv channels) are flooded to make it virtually impossible to miss the ads.
The term you are looking for is "roadblock advertising". It is a method of scheduling media where an advertisement is broadcasted on multiple channels simultaneously, aiming to reach a large audience in a short period.
This strategy can create a "roadblock" effect, as the ads dominate all available time slots across different channels, making it difficult for viewers to avoid them. While it can be an effective way to ensure a high frequency of exposure, it can also be seen as intrusive and annoying to some viewers, leading to a backlash against the advertiser.
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Roadblocking refers to a method for scheduling media in which the airwaves (both cable and network TV channels) are flooded to make it virtually impossible to miss the ads.
Roadblocking is a technique used in advertising where a particular advertisement is broadcast simultaneously across all available media channels, such as television, radio, and the Internet, in order to reach the maximum possible audience.
In the context of television advertising, roadblocking involves buying up all available ad slots across multiple networks or channels at the same time, so that viewers are exposed to the same ad multiple times in a short period of time. This can be an effective way to create a sense of urgency and increase the impact of an advertising campaign.
However, roadblocking can also be seen as a controversial tactic, as it can be perceived as intrusive and annoying to viewers who feel bombarded by the same ad repeatedly. It can also be expensive for advertisers, as they must pay a premium to secure all available ad slots at the same time.
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T/F : Staleness and burnout are not associated with overtraining.
False. Staleness and burnout are often associated with overtraining, which occurs when an individual exceeds their capacity to recover from intense physical training or activity.
Overtraining can lead to physical and psychological symptoms, including decreased performance, fatigue, irritability, and decreased motivation. It is important for individuals to listen to their bodies and take rest and recovery periods to prevent overtraining and associated symptoms.
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the current in the filament is increased while the accelerating voltage is kept the same. the increased current produces an increased number of electrons striking the target anode. this will increase the overall intensity. what is the effect on the minimum w
Increasing the current in the filament while keeping the accelerating voltage the same will increase the overall intensity of X-rays produced but will have no effect on the minimum energy required for an electron to knock out an inner-shell electron from a metal atom in the anode.
The minimum energy required for an electron to knock out an inner-shell electron from a metal atom in the anode is known as the work function (W). If the energy of the incident electron is less than the work function, then the inner-shell electron will not be ejected, and no X-rays will be produced.
the minimum energy required for an electron to knock out an inner-shell electron from a metal atom in the anode remains the same (assuming no change in the material or temperature of the anode). Therefore, the work function remains constant even when the current in the filament is increased.
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when a fan is turned off, its angular speed decreases from 10 rad/s to 4.4 rad/s in 2.50 s. what is the magnitude of the average angular acceleration of the fan? a. 0.86 rad/s2 b. 2.24 rad/s2 c. 0.37 rad/s2 d. 11.0 rad/s2 e. 1.20 rad/s2
The magnitude of the average angular acceleration of the fan is 2.24 rad/s2 . So the correct answer is option: b.
The average angular acceleration can be calculated using the formula:
average angular acceleration = (final angular speed - initial angular speed) / time
Plugging in the given values, we get:
average angular acceleration = (4.4 rad/s - 10 rad/s) / 2.50 s
average angular acceleration = -2.56 rad/s2
Note that the negative sign indicates that the angular acceleration is in the opposite direction to the initial angular velocity.
|average angular acceleration| = 2.56 rad/s2 ≈ 2.24 rad/s2 .
Therefore, the correct answer is (b).
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15.use the table above to summarize the effectiveness of the radial velocity technique. what types of planets is it effective at finding?
The radial velocity technique is effective at finding planets that are massive and close to their host stars. This method has been particularly successful in detecting gas giant planets, with masses similar to or greater than Jupiter.
The radial velocity technique is effective at finding planets by measuring the small wobbles in a star's motion, caused by the gravitational pull of orbiting planets. It is particularly effective at detecting:
1. Massive planets: The technique works best for planets with larger masses, as they cause more significant wobbles in the star's motion, making them easier to detect.
2. Close-in orbits: Planets with shorter orbital periods (i.e., close to their host star) are more easily detected because they cause more frequent wobbles, resulting in a stronger signal.
In summary, the radial velocity technique is most effective at finding massive planets with close-in orbits. However, it may be less effective for smaller planets or those with more distant orbits, as they cause weaker or less frequent wobbles in the host star's motion.
*complete question; Summarize the effectiveness of the radial velocity technique. What types of planets is it effective at finding?
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calculate the change in energy for the following process: how much energy (in kcal) must be removed from 0.811 kg of water to cool it from 91 oc to 15 oc?
The amount of energy that must be removed from 0.811 kg of water to cool it from 91°C to 15°C is approximately 61.636 kcal.
To calculate the change in energy for this process, we will use the specific heat capacity of water and the equation:
[tex]Q = m . c .[/tex]ΔT
where:
Q = change in energy (in kcal).
m = mass of water (in kg).
c = specific heat capacity of water (in kcal/kg°C).
ΔT = change in temperature (in °C).
The specific heat capacity of water is approximately 1 kcal/kg°C.
First, we need to determine the change in temperature (ΔT). To do this, subtract the final temperature (15°C) from the initial temperature (91°C):Therefore, 61.636 kcal of energy must be removed from 0.811 kg of water to cool it from 91°C to 15°C.
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How might you utilize your recently acquired knowledge from PSIO 305 to make a daytime hike in the 49 degree Celsius Mojave Desert non-deadly?
Question options:
all of the above
decrease surface area to maximize convection
take medication to suppress aldosterone
drink lots of water to increase evaporative water loss
take off your shirt to increase radiative heat loss
One should drink a lot of water to maximise evaporative water loss in order to make a day walk in the Mojave Desert, where the temperature is 49 degrees Celsius, not fatal.
This will support hydration levels maintenance and temperature control. Wearing loose, light-colored clothing, taking breaks in the shade, and taking off your shirt to promote radiative heat loss can also help reduce surface area to maximise convection. However, it is not advised to take aldosterone-suppressing medication without a doctor's supervision.
Human physiology, which is covered in PSIO 305, teaches students how the body functions in various situations. The body may be subjected to intense heat in the Mojave Desert, which can cause dehydration and disorders associated with heat. Staying hydrated and controlling body temperature through sweating and evaporative water loss are crucial to avoiding this. Reduce heat absorption by dressing appropriately, taking rests in the shade, and using air conditioning. Aldosterone is a hormone that controls electrolyte balance; nevertheless, taking medicine to inhibit it might have consequences and is not advised without a doctor's supervision.
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One should drink a lot of water to maximise evaporative water loss in order to make a day walk in the Mojave Desert, where the temperature is 49 degrees Celsius, not fatal. Option d.
This will support hydration levels maintenance and temperature control. Wearing loose, light-colored clothing, taking breaks in the shade, and taking off your shirt to promote radiative heat loss can also help reduce surface area to maximise convection. However, it is not advised to take aldosterone-suppressing medication without a doctor's supervision.
Human physiology, which is covered in PSIO 305, teaches students how the body functions in various situations. The body may be subjected to intense heat in the Mojave Desert, which can cause dehydration and disorders associated with heat. Staying hydrated and controlling body temperature through sweating and evaporative water loss are crucial to avoiding this.
Reduce heat absorption by dressing appropriately, taking rests in the shade, and using air conditioning. Aldosterone is a hormone that controls electrolyte balance; nevertheless, taking medicine to inhibit it might have consequences and is not advised without a doctor's supervision.
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Full Question: How might you utilize your recently acquired knowledge from PSIO 305 to make a daytime hike in the 49 degree Celsius Mojave Desert non-deadly?
a. decrease surface area to maximize convection
b. all of the above
c. take medication to suppress aldosterone
d. drink lots of water to increase evaporative water loss
e. take off your shift to increase radiative heat loss
maxwell's equations are a complete description of electric and magnetic fields. how many equations are there?
Maxwell's equations are a complete description of electric and magnetic fields. There are four equations in Maxwell's equations. These four equations are:
1. Gauss's Law for Electric Fields: Describes the relationship between electric charges and the electric field produced by them.
2. Gauss's Law for Magnetic Fields: States that there are no magnetic monopoles, and the magnetic field lines are always closed loops.
3. Faraday's Law of Electromagnetic Induction: Describes the induced electromotive force (EMF) in a closed circuit produced by a changing magnetic field.
4. Ampere's Law with Maxwell's Addition: Relates the magnetic field around a closed loop to the electric current passing through the loop and the rate of change of the electric field.
These four equations collectively provide a comprehensive description of electric and magnetic fields and their interactions.
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If 5.4 J of work is done in raising a 178 g apple, how far is it lifted? Assume
9 = 9.81 m/s?.
Answer in units of m. Answer in units of m.
Answer: The apple is lifted approximately 0.1232 m (rounded to four decimal places).
Explanation: To find the distance the apple is lifted, we can use the formula for work: work = force x distance.
The force required to lift the apple is equal to the weight of the apple, which can be calculated using the formula:
weight = mass x acceleration due to gravity.
we have work = weight x distance, 5.4 J = (0.178 kg x 9.81 m/s^2) x distance.
Solving for distance, we get a distance ≈ of 0.1232 m (rounded to four decimal places).
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mine C contient 1000 mg
d'acide ascorbique. Il
se prend dans un verre
d'eau de 20 CL.
1. Une orange contient
115 mg d'acide ascorbique. Combien faut-il d'oranges
pour obtenir la même masse d'acide ascorbique que
le comprimé ?
2. Il faut environ trois oranges pour obtenir 200 mL de
jus. Quelle est la concentration en acide ascorbique
du jus d'orange ?
3. Quel volume de la solution obtenue avec le comprimé
dans le verre contient la même masse d'acide ascor-
bique que ces trois oranges ?
4. Quel volume d'eau faut-il ajouter au verre contenant
le comprimé pour obtenir la même concentration en
acide ascorbique que le jus d'orange ?
Answer:
Explanation: honestly i don’t speak spanish so please explain with english
A 60-kg swimmer suddenly dives horizontally from a 150-kg raft with a speed of 1. 5 m/s. The raft is initially at rest. What is the speed of the raft immediately after the diver jumps if the water has negligible effect on the raft?
The speed of the raft immediately after the diver jumps is 0.6 m/s.
After the swimmer jumps, the momentum of the system is still conserved, but it is no longer zero, since the swimmer is now moving. We can use the equation:
(m1v1 + m2v2)before = (m1v1 + m2v2)after
We want to solve for v2, velocity of the raft immediately after the jump.
Before jump, velocity of raft is zero, so we can simplify equation to:
m1v1 = m2v2
Substituting in values we know, we get:
60 kg * 1.5 m/s = 150 kg * v2
Simplifying, we get:
v2 = (60 kg * 1.5 m/s) / 150 kg = 0.6 m/s
So the speed of the raft immediately after the diver jumps is 0.6 m/s.
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A proton accelerates from rest in a uniform electric field of 691 N/C. At some time later, it’s speed is 2. 30 x 10^6 m/s. (a) What is the magnitude of its acceleration? (b) How long does it take the proton to reach this speed
(c) How far has it moved in this time interval?
(d) What is its kinetic energy at the later time?
Mass of proton: 1. 6726x10^-27
Fundamental charge:
1. 602 x10^-19
The proton experiences an acceleration of [tex]$6.60\times10^{10} \text{m/s}^2$[/tex] in a uniform electric field of 691 N/C, and it takes [tex]$3.48\times10^{-5}$[/tex] s to reach a velocity of [tex]$2.30\times10^{6}$[/tex] m/s. During this time, the proton travels a distance of [tex]$4.36\times10^{-10}$[/tex] m and has a kinetic energy of [tex]$3.07\times10^{-12}$[/tex] J.
(a) The magnitude of the acceleration experienced by the proton can be determined by using the equation for the force on a charged particle in an electric field, which is F = qE, where F is the force, q is the charge of the particle, and E is the electric field strength. For a proton, the charge is equal to the fundamental charge, which is [tex]$1.602\times10^{-19} \text{C}$[/tex]. Therefore, the force on the proton is [tex]$F = (1.602\times10^{-19} \text{C})(691 \text{N/C}) = 1.106\times10^{-16} \text{N}$[/tex]
The acceleration of the proton can be determined using the equation F = ma, where m is the mass of the proton. Thus, [tex]$a = F/m = \dfrac{1.106\times10^{-16} \text{N}}{1.6726\times10^{-27} \text{kg}} = 6.60\times10^{10} \text{m/s}^2$[/tex].
(b) To find the time it takes for the proton to reach the given speed, we can use the kinematic equation v = u + at, where u is the initial velocity (which is 0 m/s), v is the final velocity ([tex]$2.30\times10^{6} \text{m/s}$[/tex]), a is the acceleration ([tex]$6.60\times10^{10} \text{m/s}^2$[/tex]), and t is the time. Rearranging this equation gives [tex]$t = \dfrac{v-u}{a} = \dfrac{2.30\times10^{6} \text{m/s}}{6.60\times10^{10} \text{m/s}^2} = 3.48\times10^{-5} \text{s}$[/tex].
(c) The distance the proton has moved in this time interval can be calculated using the kinematic equation [tex]$s = ut + \dfrac{1}{2}at^2$[/tex], where s is the distance traveled. Substituting the known values, we get [tex]$s = \dfrac{1}{2}(6.60\times10^{10} \text{m/s}^2)(3.48\times10^{-5} \text{s})^2 = 4.36\times10^{-10} \text{m}$[/tex]
(d) The kinetic energy of the proton can be calculated using the equation [tex]$KE = \dfrac{1}{2}mv^2$[/tex], where KE is the kinetic energy, m is the mass of the proton, and v is the velocity of the proton. Substituting the known values, we get [tex]$KE = \dfrac{1}{2}(1.6726\times10^{-27} \text{kg})(2.30\times10^{6} \text{m/s})^2 = 3.07\times10^{-12} \text{J}$[/tex].
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what do you call a bar optic where there isn't an amount and it starts when pressure is applied and stops when it is released
The type of bar optic you are describing is commonly known as a "free flow pourer" or "free pour spout."
These types of pourers do not have a specific amount they dispense but instead rely on the bartender's skill to regulate the flow of liquid by applying and releasing pressure on the bottle. The flow of liquid stops when pressure is released, allowing for precise and controlled pouring.
Free flow pourers are commonly used in bars and restaurants to pour spirits, mixers, and other liquids into cocktails and drinks. They can come in a variety of sizes and materials, including plastic, metal, and silicone, and are easily replaceable when worn or damaged.
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what value does the image distance approach as the object distance becomes larger? what value does the object
As the object distance becomes larger, the image distance approaches the focal length of the lens, while the object distance approaches infinity.
What is the value approached by the image distance as the object distance increases?In optics, the relationship between object distance (u), image distance (v), and focal length (f) is given by the lens equation, 1/f = 1/v + 1/u. When the object distance becomes much larger than the focal length, i.e., u >> f, the image distance v approaches the focal length f. This means that the image is formed at a distance from the lens that is approximately equal to the focal length. On the other hand, as the object distance approaches infinity, the image distance approaches the same value as the focal length. This phenomenon is known as the "far point" of the lens and is used to correct for certain types of vision problems, such as nearsightedness.
Therefore, As the object distance becomes larger, the image distance approaches the focal length of the lens, while the object distance approaches infinity.
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after the switch s is closed, what will be the current in the circuit at the instant that the capacitors have lost 80.0% of their initial stored energy?
After switch S is closed, the capacitors in the circuit start to discharge.
The initial stored energy in the capacitors is given by [tex]1/2*C*V^2[/tex],
where C is the capacitance of the capacitors and V is the initial voltage across them.
As the capacitors discharge, the voltage across them decreases and so does the stored energy.
When the capacitors have lost 80.0% of their initial stored energy, the voltage across them will be 0.447 times the initial voltage.
At this point, the current in the circuit can be calculated using Ohm's law, which states that the current is equal to the voltage divided by the total resistance of the circuit.
Therefore, the current in the circuit at this point can be calculated as I = V/R, where V is the voltage across the capacitors and R is the total resistance of the circuit.
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