a) The central idea of the text or literature is about increasing the jail terms for young offenders or making the jail terms harsher for young offenders.
b) The article indicates that the Justice System ought to be strengthened by lowering the age of those required to be tried as adults. It also speaks to the bias in the judicial system where young aboriginal offenders are treated differently by being jailed earlier and for longer.
c) Respect for identity can help shape the Youth Judicial System if all identities are treated as equal under the law. When the law beings to create separate terms for various offenders of different identities, then justice is enervated.
What is the Youth Judicial System?All criminal matters involving minors under the age of 18 are handled by the Youth Judicial System. They are less official than other courts and enable the young person and their family to participate more. The youth court is presided over by a district judge (magistrate's court) and two lay judges.
The primary components of the juvenile justice system, such as law enforcement, prosecution and the courts, and prisons, are also highlighted. Corrections is provided in a wide perspective, with each component of corrections addressed in detail.
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An object accelerates 12.0 m/s2 when a force of 6.0 Newton's is applied to it .What is the mass of the object?
72 kg
6kg
2kg
0.5kg
Answer:
Explanation:
This is a direct application of Newton's 2nd Law:
F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object when this force is applied. Note: this is NOT the same as the acceleration due to gravity which is constant at -9.8 m/s/s or -32 ft/s/s. Filling in:
6.0 = m(12.0) so
m = .5 kg
A 75kg person is seated on a Ferris wheel 15m from the center axis. If the person presently experiences 1500N of centripetal force, what must be the angular velocity of the Ferris wheel
This question involves the concepts of centripetal force and angular velocity.
The angular velocity of the Ferris wheel is found to be "1.15 rad/s".
The centripetal force in terms of angular velocity is given by the following formula:
\(F=mr\omega^2\)
where,
F = centripetal force = 1500 N
m = mass of person = 75 kg
r = radius = 15 m
ω = angular velocity = ?
Therefore,
\(1500\ N=(75\ kg)(15\ m)\omega^2\\\\\omega=\sqrt{\frac{1500\ N}{(75\ kg)(15\ m)}}\)
ω = 1.15 rad/s
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The attached picture shows the centripetal force.
300 ml of a gas at 27°C is Cooled at -3°c at Constant pressure the final volume is plzz answer fast i will mark brainliest
Answer:V₁=300ml
T₁=27°C
V₂=?
T₂= -3°C
as we know
V₁T₁=V₂T₂
By putting values in formula
300ml×27°C=V₂×(-3°C)
300ml×27°C/-3°C=V₂
8100ml/-3=V₂
-2700ml=V₂
or V₂= -2700ml
a acrostic poem using the word "transformation" that summarizes what you've learned about kinetic and potential energy.
The acrostic poem using the word "transformation" that summarizes what you've learned about kinetic and potential energy is given below
Tremendous force creates motion
Releasing energy in every notion
Acceleration leads to kinetic state
New forms of energy await
Formed through a change in position
Action and reaction in succession
Invisible forces at work
Never-ending cycle that lurks
Energy in constant flux
Making the world go round with tucks.
What is the acrostic poem about?The first letter T stands for "Tremendous force" that creates motion, this is related to kinetic energy. Kinetic energy is the energy of motion, it is the energy that an object possesses due to its motion. The more motion an object has, the more kinetic energy it possesses.
Also, The second letter R stands for "Releasing energy" in every notion, this refers to the transformation of potential energy into kinetic energy. Potential energy is the energy an object possesses due to its position or state, this energy is stored and can be released as kinetic energy.
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A 20 n weight is hung from the bottom of a vertical spring, causing the spring to stretch 20 cm. (a) calculate the spring constant. this spring is now placed horizontally on a frictionless table. one end of it is held fixed and the other end is attached to a 5.0 n weight. the weight is then moved, stretching the spring an additional 10 cm, and released from rest. (b) calculate the period of oscillation.
The spring constant, k, is 10 N/m.
The weight of 20 N is equal to the force exerted by the spring: F = k * x, where F is the force, k is the spring constant, and x is the stretch distance (0.20 m).
Solve for k: k = F / x = 20 N / 0.20 m = 10 N/m.
Summary: By using Hooke's Law, we calculated the spring constant to be 10 N/m.
The period of oscillation, T, is approximately 1.41 seconds.
First, find the equivalent mass, m, of the 5.0 N weight: m = F / g = 5.0 N / 9.81 m/s² ≈ 0.51 kg, where g is the gravitational acceleration (9.81 m/s²).
Next, use the formula for the period of oscillation in a spring-mass system: T = 2 * pi * sqrt(m / k), where T is the period, m is the mass, and k is the spring constant.
Plug in the values: T = 2 * pi * sqrt(0.51 kg / 10 N/m) ≈ 1.41 seconds.
Hence, Using the formula for the period of oscillation in a spring-mass system, we calculated the period to be approximately 1.41 seconds.
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19) Suppose a ball is thrown straight up and experiences no appreciable air resistance. What is its acceleration just before it reaches its highest point? A) zero B) slightly less than g C) exactly g D) slightly greater than g
Answer:
C)
Explanation: In freefall motion object always has gravity as its acceleration.
consider the image of a manometer below. based on the image, how does the pressure of the gas in the manometer compare to the pressure of the atmosphere?
The pressure of the gas in the manometer shown in the image is greater than the atmospheric pressure. This is due to the height difference between the liquid in the two sides of the manometer.
Atmospheric pressure is the pressure exerted by the air around us and is determined by the weight of the air above us. The greater the height of the air above us, the higher the atmospheric pressure.
In the manometer, the air pressure is greater on one side because the column of liquid is higher on that side. This is due to the fact that liquid in a manometer is not affected by atmospheric pressure.
Therefore, the pressure of the gas inside the manometer is greater than the atmospheric pressure.
The difference between the two pressures is calculated using the formula "P1 = P2 + (rho)gh",
where P1 is the pressure in the manometer, P2 is the atmospheric pressure, rho is the density of the liquid in the manometer, g is the acceleration due to gravity, and h is the height of the column of liquid in the manometer.
The pressure of the gas in the manometer is greater than the atmospheric pressure because of the difference in height between the two columns of liquid in the manometer.
The difference between the two pressures is calculated using the formula "P1 = P2 + (rho)gh".
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The length of a soild of a metallic cube at 20°C is 5•0cm. Given that the linear expansivity of the metal is 4×^-5k^-1. Find the volume of the cube at 120°C. Find the volume of the cube at 120°C
Answer:
Explanation:
Length of one side of cube = 5 x 10⁻² m .
volume = ( 5 x 10⁻² )³
= 125 x 10⁻⁶ m³
Expression for thermal volume expansion is as follows :
V₂ = V₁ ( 1 + γ Δt )
V₂ and V₁ are volume before and after rise in temperature , γ is coefficient of volume expansion Δt is increase in temperature .
linear expansivity = 4 x 10⁻⁵ K⁻¹
coefficient of volume expansion γ = 3 x 4 x 10⁻⁵
= 12 x 10⁻⁵ K⁻¹
Putting the value
V₂ = 125 x 10⁻⁶ ( 1 + 12 x 10⁻⁵ x 100 )
= 125 x 10⁻⁶ + 125 x 10⁻⁶ x 12 x 10⁻³
= 125 x 10⁻⁶ + 1.5 x 10⁻⁶
= 126.5 x 10⁻⁶
= 126.5 cm³
how far does the cart in question 5 travel in 4.00 seconds? calculate the distance x two ways, first using equation 3 and then using equation 4. show your work
The cart in question 5 travels a distance of 32 meters in 4.00 seconds, calculated using equation 3 (kinematic equation for distance) and equation 4 (kinematic equation for velocity).
Let's assume the initial velocity of the cart is 0 m/s, as it starts from rest.
Using equation 3 (kinematic equation for distance):
The equation for distance covered (d) can be given as:
d = v0t + (1/2)at^2
Given:
v0 (initial velocity) = 0 m/s
t (time) = 4.00 s
a (acceleration) = 4.00 m/s^2 (from question 5)
Substituting the values into the equation:
d = 0 * 4.00 + (1/2) * 4.00 * (4.00)^2
d = 0 + (1/2) * 4.00 * 16.00
d = 0 + 32.00
d = 32.00 meters
Using equation 4 (kinematic equation for velocity):
The equation for distance covered (d) can be given as:
d = (1/2)(v0 + v)t
Given:
v0 (initial velocity) = 0 m/s
t (time) = 4.00 s
v (final velocity) = at (from question 5)
= 4.00 m/s^2 * 4.00 s
= 16.00 m/s
Substituting the values into the equation:
d = (1/2)(0 + 16.00) * 4.00
d = (1/2)(16.00) * 4.00
d = 8.00 * 4.00
d = 32.00 meters
The cart in question 5 travels a distance of 32 meters in 4.00 seconds, calculated using both equation 3 (d = v0t + (1/2)at^2) and equation 4 (d = (1/2)(v0 + v)t). Both methods yield the same result, demonstrating the consistency and validity of the kinematic equations.
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what is the greatest distance (in degrees) that a star can be from polaris and still be circumpolar as seen from philadelphia pa (latitude 40.0 °)
A star is considered circumpolar if it remains above the horizon throughout the entire night. The greatest distance that a star can be from Polaris, the North Star, and still be circumpolar is 50°.
Circumpolar stars are those that do not set below the horizon but instead appear to revolve around the celestial pole. In the northern hemisphere, Polaris serves as the North Star, located very close to the celestial north pole.
For a star to be circumpolar as seen from Philadelphia (latitude 40.0°), it must remain above the horizon at all times during the night.
The distance between Polaris and the celestial pole is equivalent to the observer's latitude. In this case, since the latitude of Philadelphia is 40.0°, any star within 40.0° of Polaris will be circumpolar.
Therefore, the greatest distance a star can be from Polaris and still be circumpolar is 40.0° + 10.0° (as the North Star is approximately 10.0° away from the celestial pole), giving a total of 50.0°.
Any star within this range, up to 50.0° from Polaris, will never dip below the horizon and will remain visible throughout the entire night as a circumpolar star.
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A student wants to get real and inverted
image of same size as object. Which type of
mirror should be used and draw ray diagram
for this.
Answer:
concave mirror
Explanation:
what is the minimum hose diameter of an ideal vacuum cleaner that could lift a 11 kg dog off the floor?
4 cm hose diameter required of an ideal vacuum cleaner that could lift a 11 kg dog off the floor.
How to measuring a Hoses Diameter?The internal diameter of your hose is the measurement across its width. There are two simple methods for measuring this.
Take a ruler to your hose and measure across the interior if you want it to be the same size as what you now have. Alternately, place a paper tube inside the aperture and measure across it.
You might try see if the spray attachment's existing type of fitting would accept that size. It never hurts to double-check, but most fitting like a 1 quick-connect coupler are universal.
What are Different Diameter Sizes Of Garden Hoses?The 5/8 diameter is the most prevalent size. It is a generally suitable size for your yard. The flow is also stronger. Using attachments like a hose nozzle, you want to manage that flow. In particular, if you have to lay it down while watering, you don't want to flood your yard. Additionally, it's perfect for filling up the kiddie pool or keeping an eye on your car. It is an excellent all-purpose hose.
Additionally, you'll discover that many hoses with diameters of 3/4 and 1/2 inches, which are slightly smaller than the 5/8 size, will also function well and are great for baskets and container plants. It enables a lovely trickle of water without endangering your sensitive plants.
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1pt In conduction, thermal energy naturally flows
O A. from low-temperature areas to high-temperature areas.
O B. from high-temperature areas to low-temperature areas.
O c. during conditions of thermal equilibrium.
OD. unless there is thermal contact.
Answer:
A. from a low-temperature areas to high-temperature areas
Explanation:
it goes from low-temperature to high-temperature because it's reacting
A cement mixer with a radius of 2 m spins with a tangential velocity of 0.4 m/s. Determine the centripetal acceleration of a piece of dried cement stuck to the inside wall of the mixer.
Answer:
\(a=0.08\ m/s^2\)
Explanation:
Given that,
The radius of the mixer, r = 2 m
Tangential velocity of the mixer, v = 0.4 m/s
We need to find the centripetal acceleration of a piece of dried cement stuck to the inside wall of the mixer. The formula for the centripetal acceleration is given by :
\(a=\dfrac{v^2}{r}\\\\a=\dfrac{(0.4)^2}{2}\\\\a=0.08\ m/s^2\)
So, the centripetal acceleration is equal to \(0.08\ m/s^2\).
Which of the followng is Newton's Second Law?
a. An object in motion will stay in motion unless acted upon by an unbalanced outside force
b .Force = mass times acceleration
c.When one object puts a force on the another object, the second object puts a force back on the first, equal in magnitude and opposite in direction
Answer:
A
Explanation:
Based on details in The Riddle of the Rosetta Stone, which statement best describes Jean-Baptiste Fourier's influence on Jean-François Champollion?
Answer:
hello your question is incomplete below is the missing part of the complete question
which statement best describes Jean-Baptiste Fourier’s influence on Jean-François Champollion? Fourier shared his research about mathematics with Champollion, which aided him in his research. Fourier was the first to introduce Champollion to the hieroglyphs on the Rosetta Stone, which fascinated him. Fourier shared his findings about the Rosetta Stone with Champollion, which helped him in his research. Fourier was the first to introduce Champollion to a variety of languages, which prompted his love of languages.
answer : Fourier was the first to introduce Champollion to a variety of languages, which prompted his love of languages.
Explanation:
Jean-Baptiste Fourier's influence on Jean-Francois Champollion is that Fourier was the first to introduce Champollion to a variety of languages, which prompted his love of languages. also Fourier was a mathematician who pleaded on the behalf of Champollion when he was about to be adopted into the military.
28. A student notices that when a weight is hung on a spring, the spring stretches. She decides to conduct an experiment to determine the relationship between the amount of weight
placed on a spring and the distance the spring stretches. She has five different weights: 25 9,50 9, 75 9, 100 g, and 125 g. She selects a weight, hangs it on the spring, and
measures how far the spring stretches
What is the independent variable in this experiment?
length of unstretched spring
O distance the spring stretches
weight hung from the spring
O temperature of the spring
Answer:
weight hung from the spring
Explanation:
An "independent variable" refers to the variable that is being changed or manipulated in an experiment. This is being done in order to check its impact on the "dependent variables." The independent variable does not rely on any other variables.
In the experiment above, the independent variable is the "weight." This variable is being manipulated in order to know how far the spring will stretch. This is the reason why there are five different weights, which means there will be five different distances expected to be covered by the spring.
If the device is kept reverse biased, we know that the voltage across the device will remain roughly constant at the zener voltage. If d5 is carrying a minimum current of 5ma (down) and d6 is carrying a current of 5ma (down), what is the minimum current through r1?
The minimum current through R1 will be 10mA.
Using Ohm's Law (V = IR), we can find the minimum current through R1 as follows:
Vr1 = Vz5 + Vz6
where Vr1 is the voltage across resistor R1.
Therefore, the minimum current through R1 is:
Ir1 = Vr1 / R1
Assuming that R1 is a standard value resistor (e.g., 1kΩ), and the Zener voltages are each 5V, the voltage across R1 will be:
Vr1 = Vz5 + Vz6 = 5V + 5V = 10V
Therefore, the minimum current through R1 will be:
Ir1 = Vr1 / R1 = 10V / 1kΩ = 10mA
Current is the flow of electric charge through a conductor or material. It is defined as the rate of flow of electric charge, measured in units of amperes (A). One ampere is equivalent to the flow of one coulomb of electric charge per second.
Electric current is caused by the movement of charged particles, typically electrons, in a circuit. When a voltage is applied to a conductor, it creates an electric field that causes electrons to move through the conductor. This flow of electrons constitutes an electric current.
The direction of electric current is defined as the direction of flow of positive charges, even though the actual charges that move are electrons, which are negatively charged. Electric current can be direct current (DC), where the flow of charge is in one direction, or alternating current (AC), where the direction of flow periodically changes.
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Help!!
I'm not sure my answer is correct.
The problem is attached!
Answer:
where's ur answer?
Explanation:
hihi
In Racial Formations essay reading, race is defined as a socio historical concept, what does that mean
to the authors? Do you agree with this definition why or why not? Explain how race is
socially constructed or strictly biological. Support your response with two paragraphs.
Racial Formations essay reading, race is defined as a socio historical concept.
According to the authors of the "Racial Formations" essay, race is a socio-historical concept that is constantly being constructed and reconstructed by society. This means that race is not a fixed biological category but a product of social, cultural, and historical processes that shape our understanding and interpretation of human differences. The authors argue that the concept of race is not based on any objective biological criteria, but rather on socially constructed ideas about physical and cultural differences that are used to justify power relations and social inequalities.
I agree with this definition of race as a socio-historical concept because it acknowledges that race is not a natural or biological phenomenon, but rather a product of human history and social relations. It recognizes that race is not something that is fixed or immutable, but rather something that is constantly being constructed and reconstructed by society through processes of racialization and racial formation. This perspective challenges the traditional biological concept of race, which assumes that human differences are based on fixed and immutable categories such as skin color, facial features, or genetic makeup.
In reality, race is socially constructed and can change over time and across different societies. For example, what is considered "black" or "white" in one society may be different in another, and what is considered "racial" in one context may not be in another. The social construction of race is also reflected in the way that racial categories are used to justify power relations and social inequalities, such as in the case of racial discrimination or racial profiling. In summary, race is a socio-historical concept that is shaped by society and culture, and it is important to recognize this in order to challenge racial discrimination and promote social justice.
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A ball is moving at a speed of 6.70 m/s. If the kinetic energy of the ball is 3.10 J, what is the mass of the ball?
Answer:
mass = 0.14kg
Explanation:
kinetic energy (K.E.) = ( m / 2 ) v^2
where,
m = mass ( kg )
K.E. = kinetic energy ( J )
v = velocity ( m / s )
note that the question does not have a velocity factor in it
but, we are just going to use the speed parameter for velocity since they have the same units ( m / s )
from our question,
m = unknown ( but for solution purposes, we will just call it x)
K.E = 3.10J
v = 6.70 m / s
from our formula,
we substitute our values to have;
3.10 = ( x / 2 ) 6.70^2
3.10 = ( x / 2 ) 44.89
when we open the bracket, 44.98 will multiply with x to give
3.10 = 44.89x / 2
we cross multiply to give us
44.89x = 3.10 ( 2 )
44.89x = 6.20
divide through by 44.89 to give us,
44.89x / 44.89 = 6.20 / 44.89
x = 0.14kg
We go to a state-of-the-art amusement park. All the rides in this amusement park contain biometric sensors that measure data about potential riders while they are standing in line. Assume the sensors can detect a rider's age, height, weight, heart problems, and possible pregnancy. Help the engineers write the conditional statement for each ride at the park based on their safety specifications. (d) The Neck Snapper: All riders must be 16 years or older and more than 65 inches tall and must not be pregnant or have a heart condition. Script ? MSave C Reset Ea MATLAB Documentation Run Script Previous Assessment: 4 of 5 Tests Passed (75%) Able to Ride × Heart Condition Arrays have incompatible sizes for this operation. Your conditional checking for a heart condition is incorrect or you have incorrect logicial operators. If you are getting either of the following errors, be sure to check that you are using the appropriate function to compare two character arrays. You should not use = to compare character arrays. - Arrays have incompatible sizes for this operation. - Operands to the logical and (\&\&) and or (II) operators must be convertible to logical scalar values. Age Height Pregnant
Allow rider if age is 16 or older, height is greater than 65 inches, not pregnant, and no heart condition; otherwise, rider does not meet safety specifications.
The conditional statement for "The Neck Snapper" ride at the amusement park can be written as follows:
```python
if (age >= 16) and (height > 65) and (not pregnant) and (not heart_condition):
# Allow the rider to go on "The Neck Snapper" ride
else:
# Rider does not meet the safety specifications for the ride
```
This conditional statement ensures that the rider meets the safety specifications for "The Neck Snapper" ride. The conditions are:
1. The rider must be 16 years or older (`age >= 16`).
2. The rider must be more than 65 inches tall (`height > 65`).
3. The rider must not be pregnant (`not pregnant`).
4. The rider must not have a heart condition (`not heart_condition`).
If all of these conditions are met, the rider is allowed to go on "The Neck Snapper" ride. Otherwise, if any of the conditions are not satisfied, the rider does not meet the safety specifications for the ride.
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A 24 N force is applied to an object that moves 10. m in the SAME direction during the time that the force is applied. How much work is done to the object
A 24 N force is applied to an object that moves 10. m in the SAME direction during the time that the force is applied.
The work done on an object is given by the formula
W = Fdcos(theta)
Where W is the work done, F is the applied force, d is the displacement of the object, and theta is the angle between the force and displacement vectors.
In this case, the force and displacement are in the same direction, so the angle between them is 0 degrees, and cos(0) = 1. Therefore, the work done is
W = Fdcos(theta) = 24 N * 10. m * cos(0) = 240 J
Hence, the work done to the object is 240 Joules.
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A study group is meeting to prepare for an upcoming social studies test on the Civil War. Which question would you
recommend asking during the study group session to encourage more discussion?
In what year did the Civil War start?
X Are you ready for this test?
What were the most important reasons that the Civil War started?
Who was the president during most of the Civil War?
Answer:
C.What were the most important reasons that the Civil War started?
Explanation:
What were the most important reasons that the Civil War started? This question would you recommend asking during the study group session to encourage more discussion. Thus, option (c) is correct.
A discussion of the fundamental causes of the Civil War, such as the disparities in economic and social conditions between the North and South, the problem of slavery, and the divergent ideologies regarding the federal government's function in the United States, would be sparked by this question.
The group can have a more in-depth discussion on the Civil War's intricacies and learn more about the fundamental causes of the fight by posing this question. The group members will benefit from this talk by remembering the important information they need to know in order to ace their next social studies test on the Civil War.
Therefore, option (c) is correct.
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What is the difference between Centrifugal Force And Centripetal Force.
Answer:
Centripetal force:
This force attracts an object at the center of its circular motion.
Gravitational force attracts the earth and all space bodies towards the sun, at the center of there orbit. So here, the centripetal force for all bodies is gravitational force.
When you start the fan, the tension force in the wings acts as Centeripetal force as the wings are not being flung out.
Note that this force changes it’s name in different Cinerios.
Centrifugal force:
This force acts as if it wants to throw an object from its circular path.
When you spin about your axis, your hands feel like they are being stretched out. This is centrifugal force.
When you spin a rock bounded by a string, you feel like the rock wants to be flung out from its circular path. This is centrifugle force. Here the tension in the string is centripetal force.
Note that this force is not an actual force, it is a pseudo force.
Explanation:
i hope that helps broski
Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high temperature of 77∘F occurs at 6 PM and the average temperature for the 24-hour time period is 59∘F . Find the temperature at 7 AM to the nearest tenth of a degree.
At 7 AM (13 hours after 6 PM), the temperature would be close to the average temperature of 59°F, which can be approximated to 65.9°F.
What is the approximate temperature at 7 AM?The temperature over a 24-hour period can be modeled using a sinusoidal function, given that the high temperature of 77°F occurs at 6 PM and the average temperature is 59°F.
To find the temperature at 7 AM, we need to consider the characteristics of a sinusoidal function. In this case, the function represents a single day, with the peak temperature at 6 PM and the average temperature over the 24-hour period.
Since a sinusoidal function repeats itself every 24 hours, we can infer that the low temperature would occur 12 hours after the high temperature. Therefore, at 7 AM (13 hours after 6 PM), the temperature would be close to the average temperature of 59°F, which can be approximated to 65.9°F.
To gain a deeper understanding of sinusoidal functions and their applications in modeling temperature variations over time, it would be beneficial to explore topics such as periodic functions, trigonometry, and mathematical modeling.
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A rocket engine uses fuel and oxidizer in a reaction that produces gas particles having a velocity of 1380 ms The desired thrust is to be 195000 N 16. what must be the fuel/oxidizer consumption rate (in kg s1)? 16 17. If the initial weight of the rocket is 125000 N, what is its initial acceleration? 17 18. What are the weight and acceleration of the rocket at t 15.0 s after 18. ignition? 19. What are the weight and acceleration of the rocket att 20.0 s after ignition?
Answer:
a. 141.3 kg/s b. 5.49 m/s² c. i. 104228.9 N ii. 8.53 m/s² d. i. 97305.2 N ii. 9.84 m/s²
Explanation:
a. What must be the fuel/oxidizer consumption rate (in kg s1)?
The thrust T = Rv where R = mass consumption rate and v = velocity of rocket. Since T = 195000 N and v = 1380 m/s,
R = T/v = 195000 N/1380 m/s = 141.3 kg/s
b. If the initial weight of the rocket is 125000 N, what is its initial acceleration?
We also know that thrust T - W = ma since the rocket has to move against gravity. where M = mass of rocket = W/g = 125000 N/9.8m/s² = 12755.1 kg, W = weight of rocket = 125000 N, a = acceleration of rocket and T = thrust = 195000 N.
So, T - W = Ma
195000 N - 125000 N = (12755.1 kg)a
70000 N = ma
a = 70000 N/12755.1 kg = 5.49 m/s²
c. What are the weight and acceleration of the rocket at t 15.0 s after ignition?
We know that the loss in mass ΔM = mass consumption rate × time = Rt. Since R = 141.3 kg/s and t = 15 s,
ΔM = 141.3 kg/s × 15 = 2119.5 kg
The new mass is thus M = M - ΔM = 12755.1 kg - 2119.5 kg = 10635.6 kg
i.The weight after 15 seconds is thus W' = M'g = 10635.6 kg × 9.8m/s² = 104228.9 N
ii. Since T - W' = M'a. where M' is our new mass and a our new acceleration,
a = (T - W')/M'
= (195000 N - 104228.9 N)/10635.6 kg
= 90771.1 N/10635.6 kg
= 8.53 m/s²
d. What are the weight and acceleration of the rocket at 20.0 s after ignition?
We know that the loss in mass ΔM" = mass consumption rate × time = Rt. Since R = 141.3 kg/s and t = 20 s,
ΔM" = 141.3 kg/s × 20 = 2826 kg
The new mass is thus M" = M - ΔM" = 12755.1 kg - 2826 kg = 9929.1 kg
i. The weight after 20 seconds is thus W" = M"g = 9929.1 kg × 9.8m/s² = 97305.2 N
ii. Since T - W" = M"a. where M" is our new mass and a our new acceleration,
a = (T - W")/M"
= (195000 N - 97305.2 N)/9929.1 kg
= 97694.8 N/9929.1 kg
= 9.84 m/s²
find the magnitude of the acceleration acm of the center of mass of the spherical shell. take the free-fall acceleration to be g = 9.80 m/s2 .
The acceleration of center of mass of spherical shell = 2.94 \(m/s^{2}\)
What is center of mass ?A position established in relation to an object or set of objects is the center of mass. It is the average location of all the pieces of the system, weighted according to their masses.
According the given information
Two forces act along the line of motion. Gravity down the slope,
m g sin(\(\alpha\)), and friction up the slope, F. They provide the linear acceleration and F also provides the torque about the Center of mass. This gives the equations of motion:
m a = m g sin(\(\alpha\)) - F
I dV/dt = F R
A spherical shell of mass m has moment of inertia I = 2/3 m R^2. Furthermore a pure rolling relates dV/dt and a through a = R dV/dt. So the two equations become
m a = m g sin(\(\alpha\)) - F
2/3 m a = F
These we solve for a and F:
Substituting F from the second equation gives
m a = m g sin(\(\alpha\)) - 2/3 m a
a = 3/5 g sin(\(\alpha\))
a = 3/5 × 9.80m/s^2 sin(30.0) = 2.94 \(m/s^{2}\)
The acceleration of center of mass of spherical shell = 2.94 \(m/s^{2}\)
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Discuss how directions fields and Euler's method are related. Draw the direction field and use Euler's method to approximate the solution at t = 10 using step size 1, for the initial value problem y'= -3y, y(0) = 5.
By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.
Euler's method is defined as a numerical technique which is used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.
In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.
Step 1:
We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].
Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:
Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25
Step 2:
Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:
Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125
Thus, by using Euler's method with two steps, the approximate value of Y(2) is 2.125.
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The complete question is
Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3
32. after the block in system a is released from rest, the time for the block to first reach a maximum speed is dta. after the block in system b is released, the time for the block to first reach a maximum speed is
Answer:
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