When the handle of a jackscrew is rotated through one turn, the load weight is lifted by a height equal to the pitch d of the screw. What is the ima of the jackscrew with a handle length r and a pitch d?

Answers

Answer 1

The IMA of the jackscrew with a handle length r and a pitch d is 2πr/d.

In this case, the input force is applied to the handle of the jackscrew and the output force is the weight lifted by the screw.

When the handle is rotated through one turn, it moves in a circle of radius r, which corresponds to the distance moved by the input force. The distance moved by the output force is equal to the pitch d of the screw, since the weight is lifted by that height.

Therefore, the IMA of the jackscrew is:

IMA = distance moved by input force / distance moved by output force

= 2πr / d

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Related Questions

Find The Value Of RN And T Graphicly and Algebrique In Physics

Answers

The value of RN and T can be found graphically by plotting the relationship between the two variables.The value of RN and T can also be found algebraically.

What is variables ?

Variables are used in programming to store information or data. They are typically used to store values that may change over the course of the program's execution. Variables can be assigned different data types such as strings, integers, booleans, or other complex data types such as objects or arrays. Variables are typically declared with a type and a name, and are assigned a value. Variables can also be assigned values from user input, such as from a form or a text field. Variables are important because they allow the programmer to store and manipulate data. This can help the programmer create more efficient and complex programs.

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A phoneme is the largest unit of sound in a word. T F

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False. A phoneme is the smallest unit of sound in a word that can change its meaning.

The biggest unit of sound in a word is not a phoneme. The smallest unit of sound that may alter the meaning of a word is called a phoneme. As an example, the phoneme /b/ takes the place of the phoneme /k/ in the words "cat" and "bat" in English.

A word's syllable, which is made up of one or more phonemes, is a bigger unit of sound. Multiple-syllable words are possible, and the way these syllables are stressed can also impact the word's meaning.

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Why does knowing the velocity of a cloud in the disk of the Milky Way help astronomers figure out how far away it is?

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Knowing the velocity of a cloud in the disk of the Milky Way helps astronomers figure out how far away it is because of the use of the Doppler effect.

The Doppler effect is a phenomenon that causes a shift in the wavelength of light emitted by an object that is moving towards or away from an observer. This shift can be used to calculate the velocity of the object. In the case of a cloud in the disk of the Milky Way, the Doppler effect can be used to determine if the cloud is moving towards or away from Earth. If the cloud is moving away, the wavelength of the light will be longer, and if it is moving towards, the wavelength will be shorter. By measuring this shift in the wavelength of the light emitted by the cloud, astronomers can determine the velocity of the cloud.
Once the velocity of the cloud is known, astronomers can use other methods to determine its distance from Earth, such as comparing its brightness to similar objects of known distance. This information is crucial for studying the structure and dynamics of the Milky Way and understanding the evolution of galaxies.

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A glass rod is charged to +5.0 nC by rubbing. (a) Have electrons been removed from
the rod or protons added? Explain. (b) How many electrons have been removed or
protons added?

Answers

This indicates that about [tex]3.13 x 10^{10}[/tex] electrons have been extracted from the glass rod.

(a) Electrons have been removed from the glass rod. This is because when the rod is rubbed, electrons are transferred from the glass to the material it is rubbed against. Since electrons are negatively charged, the glass rod becomes positively charged as a result of losing electrons.

(b) The number of electrons removed can be calculated using the formula Q = ne, where Q is the charge on the rod, n is the number of electrons transferred, and e is the charge of an electron. Therefore, we can rearrange the formula to find n = Q/e. Plugging in the values for Q [tex](+5.0 nC)[/tex] and e [tex](-1.6 x 10^-19 C)[/tex], we get:

[tex]n = (+5.0 x 10^-{9 C}) / (-1.6 x 10^{-19 C}) ≈ -3.13 x 10^{10[/tex] electrons

This means that approximately [tex]3.13 x 10^{10}[/tex] electrons have been removed from the glass rod.

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what is the equation for speed of sound? Define each part of the equationWhat is the trend to remember for determining speed of sound through a medium?

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The equation for the speed of sound in a medium is: v = √(B/ρ.

v = √(B/ρ)

where:

v is the speed of sound

B is the bulk modulus of the medium

ρ is the density of the medium

The bulk modulus is a measure of the medium's resistance to compression. It relates the applied pressure to the resulting compression in the medium.

The density of the medium is a measure of the mass per unit volume of the medium.

The trend to remember for determining the speed of sound through a medium is that the speed of sound increases with the bulk modulus and decreases with the density of the medium. In other words, a medium that is harder to compress (higher bulk modulus) will have a higher speed of sound, while a medium that is dense will have a lower speed of sound.

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Please help

A ball of mass 0.32kg and a velocity of 5.1m/s collides head on with a ball of mass 0.75kg that is initially at rest. No external forced act on thr balls. After the Collison, the velocity of the ball which ews originally at rest is 2.38 m/s. What is the velocity of the 0.32kg ball after the collision.

Answers

Answer:

4.695 m/s

Explanation:

We can use the law of conservation of momentum to solve this problem. The law of conservation of momentum states that the total momentum of a closed system remains constant if there are no external forces acting on it. In this case, the two balls form a closed system.

The total momentum before the collision is:

p_before = m1v1 + m2v2

where m1 and v1 are the mass and velocity of the first ball, and m2 and v2 are the mass and velocity of the second ball.

Plugging in the values given in the problem, we get:

p_before = (0.32 kg) * (5.1 m/s) + (0.75 kg) * (0 m/s) = 1.632 kg*m/s

The total momentum after the collision is:

p_after = m1v1' + m2v2'

where v1' and v2' are the velocities of the first and second ball after the collision.

We know the velocity of the second ball after the collision:

v2' = 2.38 m/s

To find the velocity of the first ball after the collision, we can use the conservation of momentum:

p_before = p_after

m1v1 + m2v2 = m1v1' + m2v2'

Plugging in the values we know and solving for v1', we get:

v1' = (m1v1 + m2v2 - m2*v2') / m1

v1' = (0.32 kg) * (5.1 m/s) + (0.75 kg) * (0 m/s) - (0.75 kg) * (2.38 m/s) / (0.32 kg)

v1' = 6.48 m/s - 1.785 m/s

v1' = 4.695 m/s

Therefore, the velocity of the 0.32 kg ball after the collision is 4.695 m/s

Final answer:

The final velocity of the first ball is approximately 3.14 m/s. We can solve this physics problem using the principle of conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision, which allows us to solve for the unknown final velocity of the first ball.

Explanation:

To solve this problem, we can use the principle of conservation of momentum.The preliminary momentum of the machine is identical to the very last momentum.Since the second one ball is first of all at rest, its preliminary momentum is zero. The initial momentum of the first ball is given by the product of its mass and velocity: 0.32 kg × 5.1 m/s.

Using the principle of conservation of momentum, we can set up the equation: (0.32 kg × 5.1 m/s) = (0.32 kg × v1) + (0.75 kg × 2.38 m/s), where v1 represents the final velocity of the first ball.

By solving this equation, we can find that the final velocity of the first ball is approximately 3.14 m/s.

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what is the greatest distance from the camera at which two point objects 15 cm apart can be resolved? (assume light with a wavelength of 520 nm)

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The greatest distance from the camera at which two point objects 15 cm apart can be resolved is 5.62 cm.

The maximum resolution of two point objects is determined by the Rayleigh criterion, which states that the objects can be resolved when the first minimum of the diffraction pattern of one object coincides with the maximum of the diffraction pattern of the other. For two point objects separated by an angle α, this occurs when sin α = 1.22 λ/D, where λ is the wavelength of light and D is the diameter of the lens or aperture.

In this case, the objects are 15 cm apart, so we can calculate the angle α as follows:

tan α = 15 cm / D

To find the maximum distance from the camera at which the objects can be resolved, we need to determine the minimum value of D that satisfies the Rayleigh criterion. Rearranging the equation above, we get:

D = 15 cm / tan α

Substituting sin α = 1.22 λ/D, we get:

D = 15 cm / tan(sin⁻¹(1.22 λ/15 cm))

Substituting λ = 520 nm, we get:

D = 15 cm / tan(sin⁻¹(1.22 * 520 nm / 15 cm))

D = 5.62 cm

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A 0.15 kg pinecone falls 17 m to the ground, where it lands with a speed of 13 m/s .

A)How much work was done on the pinecone by air resistance? Express your answer using two significant figures.
B)What was the average force of air resistance exerted on the pinecone? Express your answer using two significant figures.

Answers

0.795N was the average force of air resistance exerted on the pinecone

m = 0.15 Kg

h = 16 m

v = 12m/s

Work was done on the pinecone by air resistance is W

F×16=12.72

F = 0.795N

How does air resistance function? What is it?

Air exerts a force known as air resistance. When an item is travelling through the air, the force works in the opposite direction. While a sports vehicle with a streamlined design will encounter reduced air resistance and experience less drag, the automobile will be able to move more quickly than a truck with a flat front.

Because air resistance slows down the motion of the falling item, it impacts acceleration during a fall to a lesser extent than gravity (g). The object's surface area and speed both influence how much it slows down.

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detailed observations of the structure of the milky way are difficult because

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The Milky Way's intricate and ever-changing structure is difficult to study due to factors such as our position within the galaxy, the prevalence of interstellar dust, and the complex movements of stars and gas within the system.

Why structure of the milky way is difficult?

Detailed observations of the structure of the Milky Way are difficult because of several reasons, including our location within the galaxy, the presence of interstellar dust, and the complex and dynamic nature of the galaxy itself.

Firstly, we are located within the Milky Way, which makes it challenging to study its overall structure and morphology from an external perspective. Our view of the galaxy is obstructed by the stars and gas that lie between us and the galactic center, making it difficult to observe the galaxy's structure as a whole.

Secondly, interstellar dust present in the Milky Way absorbs and scatters light, making it difficult to observe objects located on the opposite side of the galaxy. This can lead to incomplete and biased data, as some regions of the galaxy may be more obscured by dust than others.

Finally, the Milky Way is a complex and dynamic system that is constantly changing, with stars and gas moving and interacting in complex ways. This makes it challenging to study the structure and evolution of the galaxy over time, as these processes are difficult to observe and model accurately.

Despite these challenges, astronomers have made significant progress in understanding the structure and evolution of the Milky Way through a combination of observations and modeling, using techniques such as star counts, spectroscopy, and simulations.

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what is the gauge pressure, in atmospheres, in the balloon then? (assume the atmospheric pressure is constant.)

Answers

The gauge pressure inside the balloon when it reaches its maximum altitude is 2.27 atmospheres.

To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas:

(P1 × V1) / T1 = (P2 × V2) / T2

where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.

Part A:

At sea level, the temperature is 10.0 °C or 283.15 K, and the pressure is 1 atmosphere. Let's refer to this state as 1. The volume has expanded by a factor of 20, or V2 = 20 V1 when the balloon ascends to an altitude where its volume is twenty times that of the initial volume. The current temperature is -51°C or 222.15 K. Let's refer to this as state 2. The coupled gas law allows us to construct the following equation:

(P1 × V1) / T1 = (P2 × V2) / T2

Substituting the values, we get:

(1 atm × V1) / 283.15 K = (P2 × 20V1) / 222.15 K

Solving for P2, we get:

P2 = (1 atm × V1 × 20 × 222.15 K) / (283.15 K × V1)

     = 3.27 atm

Therefore, the pressure inside the balloon when it reaches its maximum altitude is 3.27 atmospheres.

Part B:

The gauge pressure is equal to the internal pressure of the balloon less the external air pressure. The gauge pressure may be computed as follows, assuming that the atmospheric pressure stays constant at 1 atmosphere:

Gauge pressure = P2 - 1 atm

                           = 3.27 atm - 1 atm

                           = 2.27 atm

Therefore, the gauge pressure inside the balloon when it reaches its maximum altitude is 2.27 atmospheres.

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Your question is incomplete. The complete question is:

Large helium-filled balloons are used to lift scientific equipment to high altitudes Part A: What is the pressure, in atmospheres, inside such a balloon if it starts out at sea level with a pressure of one atmosphere and a temperature of 10.0°C and rises to an altitude where its volume is twenty times the original volume and its temperature is -51°C? Part B: What is the gauge pressure, in atmospheres, in the balloon then? (Assume the atmospheric pressure is constant.)

Why do temperatures on Earth increase when the amount of carbon dioxide or methane in the Earth system increases? You must use the following words in your explanation: atmosphere, carbon dioxide, energy, methane, redirect, surface, temperature.

Answers

When the amount of carbon dioxide or methane in the Earth system increases, temperatures on Earth increase because these gases trap more energy in the atmosphere and redirect it back to the surface, causing it to warm up.

Carbon dioxide and methane are both greenhouse gases, which means they absorb and redirect energy in the form of infrared radiation. When the concentration of these gases in the atmosphere increases, more energy is trapped and redirected back to the Earth's surface, causing the surface temperature to rise.

This process is commonly known as the greenhouse effect. As more greenhouse gases accumulate in the atmosphere, they create a thicker layer that traps more energy and increases the surface temperature of the Earth.

The increased surface temperature can have significant effects on the planet, such as melting of polar ice caps, rising sea levels, and changes in weather patterns. It is therefore important to monitor and regulate the amount of carbon dioxide and methane emissions to mitigate their impact on the planet.

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when emplacing a deliberate crater, how many composition h6 cratering charges and packages of m112 are required for a crater that is 90 feet in length?

Answers

Five 40-pound H6 cratering charges and 106 packets of C - 4 (M112) are required for a crater that is 90 feet in length. When the cratering charges are set off, a relieved-faced crater will result.

39 lbs of Comp H6 explosive fill are used in the cratering charge, which is contained in tin-plated steel. The Army variant lacks a booster charge.

The following percentages by weight make up the castable military explosive combination H6: 44.0% RDX. 29.5% TNT. Aluminum in powder form, 21.0%. 5.0% of paraffin wax is used as a phlegmatizing substance.

A crater is a hollowed-out or bowl-shaped depression that results from a meteorite strike, volcanic eruption, or explosion.

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at what distance d will the sound from the speakers first produce destructive interference at the location of the listener?

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The distance (d) at which sound from the speakers will first produce destructive interference at the listener's location depends on the wavelength of the sound waves and the relative phase difference between the speakers.

The frequency, wavelength, and distance between the speakers all affect when sound from speakers begins to cause destructive interference at the listener's position, or distance d. When two sound waves of the same frequency and amplitude are 180 degrees out of phase with one another, destructive interference results.

For constructive interference to happen, the distance between the speakers has to be an integer multiple of half the wavelength of the sound wave, and an odd multiple of a quarter of the wavelength for destructive interference. The frequency, wavelength, and distance between the speakers must all be known to calculate the distance d.

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Pascal is an introvert who prefers staying in and reading a good book. their friend paulina is an extravert who would much rather spend her time partying. in terms of their ability to recognize facial expressions of emotion and to express emotions pascal:__________

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Pascal's introverted nature may lead to them being more reflective and introspective, which could enhance their ability to recognize facial expressions of emotion. However, they may struggle with expressing their own emotions outwardly, as introverts tend to process emotions internally before sharing them with others.


In terms of their ability to recognize facial expressions of emotion and to express emotions, Pascal, as an introvert, may be more sensitive and observant, which could potentially make them better at recognizing facial expressions.

However, this doesn't necessarily mean they are less able to express emotions compared to their extravert friend Paulina, who might display emotions more openly and energetically. Both introverts and extraverts have unique ways of processing and expressing emotions.

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A steel tube having an outer diameter of 2. 5 in. Is used to transmit 9 hp when turning at 27 rev/min. 1 hp = 550 ft?lb/s. Determine the inner diameter d of the tube if the allowable shear stress is ?allow = 10ksi. It is a hollow tube

Answers

The inner diameter of the tube must be greater than or equal to 2.06 inches to satisfy the design requirements.

To solve this problem, we need to use the torsion equation and the power equation. We are given the outer diameter (D) of a hollow steel tube, which is being used to transmit a certain amount of power at a given rotational speed. We are also given the allowable shear stress for the steel material, which is ?allow = 10 ksi.

Using the power equation, we can calculate the torque being transmitted through the tube:

P = Tω

9 hp = 4950 ft-lb/s

ω = 27 rev/min = 2.83 rad/s

T = P/ω = 1746.8 ft-lb

Using the torsion equation, we can calculate the maximum shear stress in the material:

τ_max = 2T / (π [tex]D^{3}[/tex])

τ_max = 2(1746.8 ft-lb) / (π [tex]2.5^{3}[/tex]) = 5656 psi

Since? allow = 10 ksi, we need to ensure that τ_max ≤ 10,000 psi. Therefore:

2T / (π [tex]D^{3}[/tex]) ≤ 10,000 psi

[tex]D^{3}[/tex] ≥ 2T / (π × 10,000 psi)

D ≥ (2T / [tex](pi*10,000)^{1/3}[/tex])

D ≥ 2.06 inches

Therefore, the inner diameter of the tube must be greater than or equal to 2.06 inches to satisfy the design requirements.

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a person rides a bicycle at constant speed around a circular path. the diagram above shows the forces acting on the bicycle/person system. what is the acceleration of the system?

Answers

To determine the acceleration of the system, we need to analyze the forces acting on the bicycle/person system. From the diagram, we see that there are two forces acting on the system: the gravitational force pulling the system downwards and the normal force pushing the system upwards. Since the bicycle/person system is moving at a constant speed, we know that the net force acting on the system is zero.

However, even though the net force is zero, the system still experiences a centripetal force directed towards the center of the circular path. This force is provided by the friction between the tires of the bicycle and the road. By Newton's Second Law, we know that the acceleration of the system is equal to the net force acting on the system divided by its mass.

Since the net force is the centripetal force, we can use the formula F = mv²/r to calculate it, where m is the mass of the system, v is the velocity of the system, and r is the radius of the circular path. Therefore, the acceleration of the system is a = F/m = (mv²/r)/m = v²/r.

In conclusion, the acceleration of the bicycle/person system moving at a constant speed around a circular path is equal to the square of the velocity of the system divided by the radius of the circular path. It is important to note that this acceleration is always directed towards the center of the circular path and is necessary to maintain the circular motion of the system.

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How can a luminous object convert into a non-luminous object?

pls helppp...​

Answers

Answer:

Explanation:

A luminous object is one that emits light, whereas a non-luminous object does not emit light on its own. The process of a luminous object becoming a non-luminous object can occur in several ways, including:

Running out of fuel: Many luminous objects, such as stars, emit light and heat as a result of nuclear fusion reactions that occur within them. However, these reactions require fuel to continue, and when the fuel runs out, the luminosity of the object will decrease until it is no longer emitting significant amounts of light.

Cooling down: Some luminous objects, such as incandescent light bulbs, emit light as a result of being heated to high temperatures. However, as they cool down, they emit less light and eventually become non-luminous.

Changing physical state: Some luminous objects, such as fire, emit light and heat as a result of a chemical reaction. When the fuel for the reaction is exhausted, the fire will extinguish and the object will no longer be luminous.

In summary, a luminous object can become non-luminous when it runs out of fuel, cools down, or undergoes a physical change that stops the process that was causing it to emit light.

if a soap bubble is 110 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? assume that n

Answers

The green wavelength experiences constructive interference because the thickness of the bubble is an exact multiple of half of the wavelength. This results in the strongest reflection of green light at the center of the outer surface of the bubble. Other colors will experience varying degrees of constructive and destructive interference, resulting in a rainbow-like effect around the bubble.

The wavelength that is most strongly reflected at the center of the outer surface of a soap bubble that is 110 nm thick when illuminated normally by white light is 550 nm, which is green light. This is because the thickness of the soap bubble is half of the wavelength of the green light, which causes constructive interference and results in the strongest reflection of that wavelength.

The reflection of light on a thin film like a soap bubble occurs due to the interference of light waves that are reflected off the top and bottom surfaces of the film. This interference can be either constructive, where the waves reinforce each other and create a bright spot, or destructive, where the waves cancel each other out and create a dark spot. The thickness of the film plays a crucial role in determining whether the interference is constructive or destructive.

In the case of the soap bubble that is 110 nm thick, this thickness is approximately half of the wavelength of green light, which is around 550 nm. When white light illuminates the bubble, it contains a range of wavelengths that interact with the bubble's surface. However, the green wavelength experiences constructive interference because the thickness of the bubble is an exact multiple of half of the wavelength. This results in the strongest reflection of green light at the center of the outer surface of the bubble. Other colors will experience varying degrees of constructive and destructive interference, resulting in a rainbow-like effect around the bubble.

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how does the frequency with the 200 g mass compare with the theoretical value that you obtained in preliminary questions?'

Answers

The frequency of a mass on a spring system is proportional to the square root of the spring constant divided by the mass:

f = 1/2π √(k/m)

The  frequence of a mass on a spring system is commensurable to the square root of the spring constant divided by the mass, as shown by this equation. As a result,  adding  the mass decreases the  frequence of the system, where as  adding  the spring constant increases the  frequence of the system.  

The  frequence of a mass on a spring system is a abecedarian  drugs term that's used to explain a wide range of physical systems, including oscillating systems,  wobbling  strings, and  swells. It's also useful in a wide range of practical  operations, including the design of mechanical systems and musical instruments.

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How much energy is gained by 72C on passing a 5V battery

Answers

Answer:

W= 6×1=6J

Explanation:

Final answer:

The energy gained by 72C of charge passing through a 5V battery can be calculated using the formula E = QV, resulting in an energy gain of 360 Joules.

Explanation:

The energy gained by a charge when it passes through a potential difference (voltage) can be calculated using the formula E = QV, where E is the energy in joules, Q is the charge in coulombs and V is the voltage in volts. So in this case, if 72 C of charge is passing through a 5 V battery, then energy gained would be E = 72 C * 5 V = 360 Joules.

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why has nasa sent recent orbiters to mars on trajectories that required them to skim through mars's atmosphere before settling into their final orbits? group of answer choices it saves money because the spacecraft uses atmospheric drag to slow down rather than needing to carry enough fuel to slow by firing rocket engines. it allowed the spacecraft to collect samples of the atmospheric gas for return to earth. it allowed the orbiters to get higher resolution pictures of the surface as it came close when skimming through the atmosphere. each spacecraft also carried a lander, and the lander could only be dropped to the martian surface when the spacecraft passed through the atmosphere.

Answers

The reason why NASA has sent recent orbiters to Mars on trajectories that required them to skim through Mars's atmosphere before settling into their final orbits is to save money.

This is because the spacecraft uses atmospheric drag to slow down instead of needing to carry enough fuel to slow down by firing rocket engines.

Additionally, this technique allowed the orbiters to get higher resolution pictures of the surface as they came close while skimming through the atmosphere.

However, it should be noted that not all recent orbiters sent to Mars used this technique. Some were designed to enter Mars's orbit directly without skimming through the atmosphere.

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given the following data of specific heat, and assuming that each material has equal mass, which material would exhibit the smallest rise in temperature when absorbing 1000 j of heat?

Answers

The material that would exhibit the smallest rise in temperature when absorbing 1000 J of heat is the one with the highest specific heat.

Specific heat is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. Therefore, the material with the highest specific heat will require more heat to raise its temperature by one degree Celsius compared to the material with a lower specific heat.

From the given data, water has the highest specific heat of 4.184 J/g°C, followed by aluminum with 0.902 J/g°C, and then iron with 0.449 J/g°C. Therefore, water would exhibit the smallest rise in temperature when absorbing 1000 J of heat.

The material with the highest specific heat requires more heat to raise its temperature by one degree Celsius, and from the given data, water has the highest specific heat of 4.184 J/g°C. Therefore, water would exhibit the smallest rise in temperature when absorbing 1000 J of heat.

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what does changing the medium do? relate it to wave speed, wavelength, frequency. use prior knowledge of solids, liquids, and gases to strengthen your response.

Answers

Changing the medium that a wave travels through affects its speed, wavelength, and frequency. Wave speed is dependent on the properties of the medium, such as its density and elasticity.

When a wave travels from one medium to another, its speed changes, causing a change in wavelength or frequency to maintain the same wave velocity. For example, sound waves travel faster through solids than through liquids or gases, because solids are denser and more elastic. This means that the wavelength of sound waves will be shorter in solids compared to liquids or gases, but their frequency will remain same. The denser and more elastic the medium, the higher the wave speed, which leads to a shorter wavelength and higher frequency.

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a distorted voltage contains an 11th harmonic of 20 v, 253 hz. calculate the frequency of the fundamental.

Answers

The frequency of the fundamental can be calculated by dividing the frequency of the 11th harmonic by 11.

253 Hz / 11 = 23 Hz

The frequency of the fundamental is 23 Hz.  

The fundamental frequency is the lowest frequency component of a waveform. In this question, we are given information about the 11th harmonic of a distorted voltage, but we need to find the frequency of the fundamental. The fundamental frequency can be found by dividing the frequency of the 11th harmonic by 11. This is because harmonics are integer multiples of the fundamental frequency. By dividing the frequency of the 11th harmonic by 11, we can isolate the frequency of the fundamental.

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fluid imbalances with constant osmolarity happen when ______ fluid is lost or gained.

Answers

Fluid imbalances with constant osmolarity happen when isotonic fluid is lost or gained. Isotonic fluid refers to a solution with the same concentration of solutes as the cells in the body. When this fluid is lost or gained in an equal amount, the osmolarity of the body remains constant, but the fluid balance is disrupted, leading to fluid imbalances.

Examples of isotonic fluid loss or gain include vomiting, diarrhea, excessive sweating, or excessive intake of isotonic fluids such as water or sports drinks.

Isosmotic fluid has the same osmolarity as the body's fluids, which means that the concentration of solutes is equal between the fluid and the body's cells. In this situation, the loss or gain of fluid does not disrupt the balance of solutes in the body, maintaining a constant osmolarity.

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What does Dougherty mean when she says separate and equal to three different things in the movie hidden figures 

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Dougherty, by saying separate and equal to three different things means that being the same as everyone else still robs her of the respect and abilities of others outside her ethnicity.

Who is Dougherty?

Dougherty Vaughan was elevated to group leader in 1949, making her the NACA's first black supervisor and one of the organization's few female supervisors. She was also the supervisor of Katherine Johnson and Mary Jackson, with whom she became famous in the film "Hidden Figures" many years later.

She talks about how even though she is the same as everyone else, she and other African-Americans are not as respected as other races considering the fact that they are no longer slaves.

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A 600-N block is placed on a horizontal surface and is supported by two springs with spring constants of 400 N/m. If the springs are compressed equally, what is the total compression of both springs?

Answers

Both springs have a total compression of 2x = 1.5 m.

How to calculate total compression?

The force acting on the block is equal to the sum of the forces from both springs. Let x be the compression of each spring.

The force from each spring is given by Hooke's law: F = kx, where k is the spring constant. Since there are two springs, the total force is:

F = 2kx

The force on the block is 600 N, so set up the equation:

2kx = 600

Substituting k = 400 N/m:

2(400 N/m)x = 600 N

Solving for x:

x = 0.75 m

Therefore, the total compression of both springs is 2x = 1.5 m.

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Forces at Time 1
Forces at Time 2
The arrows represent forces. Choose all that are correct when comparing the bicyclist at Time
1 and Time 2.
A. The bicyclist is moving faster at Time 2.
B. The bicyclist is moving faster at Time 1.
C. The bicyclist is applying more force on the pedals at Time 2.
D. The bicyclist is applying more force on the pedals at Time 1.

Answers

The bicyclist is applying more force on the pedals at Time 2.

option C.

What is the force applied to the bicycle at different times?

The force applied to the bicycle at different times is directly proportional to the motion of the bicycle.

Mathematically, the force is given as;

F = ma

where;

m is the massa is the acceleration

If the arrows represents the forces acting on the bicycle, the we can conclude that the bicycle has greater force at time 2, due to longer arrow point forward.

So if the bicycle has greater forward force at time 2, it implies that the  bicyclist is applying more force on the pedals at Time 2.

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an object that weighs 75.0 n is pulled on a horizontal surface by a horizontal pull of 50.0 n to the right. the friction force on this object is 30.0 n to the left. the acceleration of the object is closest to

Answers

The acceleration of the object is closest to 2.62 m/s² when the friction force on this object is 30n to the left and has an horizontal pull of 50n.

To find the acceleration of the object, we need to use Newton's second law, which states that the net force on an object is equal to the product of its mass and acceleration:

F_net = ma

where F_net is the net force acting on the object, m is the mass of the object, and a is its acceleration.

In this case, the net force on the object is the sum of the force applied by the pull and the force of friction:

F_net = F_pull - F_friction

where F_pull is the force applied by the pull, and F_friction is the force of friction.

Substituting the given values, we get:

F_net = 50.0 N - 30.0 N = 20.0 N

Since we know the weight of the object is 75.0 N, we can find its mass using the formula:

F_gravity = mg

where F_gravity is the force of gravity or weight, m is the mass, and g is the acceleration due to gravity, which is 9.81 m/s² on Earth.

Substituting the given weight, we get:

75.0 N = m * 9.81 m/s²

Solving for m, we get:

m = 7.64 kg

Now we can use Newton's second law to find the acceleration:

a = F_net / m = 20.0 N / 7.64 kg ≈ 2.62 m/s²

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a typical home uses approximately 1900 kwh of energy per month. part a if the energy came from a nuclear reaction, what mass would have to be converted to energy per year to meet the energy needs of the home? express your answer using two significant figures.

Answers

To meet the energy needs of a typical home for one year using nuclear energy, approximately 0.000914 kg (or 0.91 grams) of mass would have to be converted to energy.

The amount of energy needed per year by a typical home can be calculated as follows:

1900 kWh/month x 12 months/year = 22,800 kWh/year

To calculate the mass that would have to be converted to energy to meet this energy requirement, we can use Einstein's famous equation, E = mc², which relates energy (E) to mass (m) and the speed of light (c).

Rearranging the equation to solve for mass, we get:

m = E / c²

where E is the energy requirement in joules and c is the speed of light in meters per second.

First, we need to convert the energy requirement from kilowatt-hours (kWh) to joules (J):

22,800 kWh/year x 3.6 x 10⁶ J/kWh = 8.208 x 10^10 J/year

Then, we can substitute this value along with the speed of light (c = 2.998 x 10¹⁰m/s) into the equation to get:

m = 8.208 x 10¹⁰ J/year / (2.998 x 10 m/s)²= 9.140 x 10² kg/year

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