According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when kept at a constant volume.The molecules of a gas receive more energ
What happens to an ideal gas's volume as the temperature rises?These instances of how temperature can change a confined gas's volume while maintaining a constant pressure are typical:The volume rises with rising temperature and falls with falling temperature.
when an ideal gas's temperature is raised by?Since internal energy was directly proportional to the temperature, an adiabatic compression raises the temperature of the an ideal gas.
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How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating
at 5m/s²?
Answer:
Time taken = 2.444sec
Explanation:
Greetings !
Given values :-
Final velocity (Vf) =44km/hr =12.22m/s Initial velocity (Vi) = 0m/sAcceleration (a)= 5m/s²Required values:-
Time taken (t) =?Solution/ work-out:-
Firstly change the km/hr value to m/s
Then, recall the Velocity-Time Equation:
\(vf = vi \: + at\)
substitute known variables into the equation
\((12.22) = (0) + (5)t\)
Solve for time
\(t = 2.444sec\)
Hope it helps!!
FILL IN THE BLANK. A tennis coach paces back and forth along the sideline 10 times in 2 minutes. The frequency of her pacing is ________ Hz.
a. 5.0
b. 0.20
c. 0.12
d. 0.083
The correct answer is b. 0.20 Hz.
To find the frequency, we need to know how many cycles (in this case, pacing back and forth) occur in a unit of time (in this case, one second).
We know that the coach paces back and forth 10 times in 2 minutes. To convert minutes to seconds, we can multiply by 60:
10 times 2 minutes = 20 cycles in 120 seconds
To find the frequency, we divide the number of cycles by the time:
20 cycles / 120 seconds = 0.1667 cycles per second
To convert cycles per second to hertz (Hz), we simply use the same value:
0.1667 Hz ≈ 0.20 Hz
Therefore, the frequency of the coach's pacing is approximately 0.20 Hz.
Your answer: b. 0.20
A tennis coach paces back and forth along the sideline 10 times in 2 minutes. To calculate the frequency, we need to convert minutes to seconds and then divide the number of times by the total seconds.
2 minutes = 2 x 60 = 120 seconds
Frequency = (Number of times) / (Total time in seconds)
Frequency = 10 / 120 = 0.0833 Hz (approximately)
However, the closest answer to 0.0833 Hz among the provided options is:
b. 0.20 Hz
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Please answer if you know :)
Answer1. :(20/25)*200/*25 2. Increase the radius or apply the force perpendicular to the wrench
Explanation:torque =force*distance*sine of the angle between applied force and axis of wrench
The radius of curvature of a rear- view mirror in a car is 4m. If a truck is behind the
car, located 5m from the rear-view mirror of the car. Calculate the size of the image
relative to the size of the truck and also find the position and nature of the image formed
The image of the truck formed by the rear-view mirror is smaller and virtual, located in front of the mirror.
To calculate the size of the image relative to the size of the truck formed by the rear-view mirror, we can use the mirror equation:1/f = 1/u + 1/v,
where f is the focal length (radius of curvature) of the mirror, u is the object distance, and v is the image distance.
Given that the radius of curvature of the mirror is 4m and the truck is located 5m from the mirror, we can determine the object distance:
u = -5m (since the object is behind the mirror and its distance is negative)
Substituting these values into the mirror equation, we get:
1/4 = 1/(-5) + 1/v
Simplifying the equation:
1/v = 1/4 + 1/5
1/v = (5 + 4) / (4 * 5)
1/v = 9/20
v = 20/9
Now, we can calculate the size of the image relative to the size of the truck using the magnification formula:
magnification = -v/u
Substituting the values:
magnification = -(20/9) / (-5)
magnification = 4/9
Therefore, the size of the image relative to the size of the truck is 4/9. This means the image formed by the rear-view mirror is smaller than the actual truck.
As for the position and nature of the image, since the image distance (v) is positive, the image is formed on the same side of the mirror as the object. In this case, it means the image is formed in front of the rear-view mirror. The positive image distance also indicates that the image is virtual.
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during which stage does the star have an inert (nonburning) helium core?
The stage during which a star has an inert helium core is the red giant phase. As a star age, it undergoes nuclear fusion reactions that cause it to expand and become less dense. In the case of low to intermediate-mass stars (such as our Sun), this expansion causes the star to become a red giant.
During this phase, the outer layers of the star expand and cool, causing it to appear reddish in color. At the same time, the core of the star becomes hotter and denser as it continues to fuse hydrogen into helium.
Eventually, the hydrogen in the core is depleted and the star switches to fusing helium into heavier elements. This causes the core to shrink and become hotter, but the outer layers of the star continue to expand. As a result, the helium in the core becomes inert and nonburning. The star will eventually shed its outer layers, leaving behind a small, hot core known as a white dwarf.
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Question 2
4 pts
Astronomers observed that all the planets of the solar system orbit in the same direction. They also use
radioactive dating to calculate the age of meteorites and rocks from the Moon obtaining similar results.
What do these pieces of evidence mean about the formation of the bodies of the solar system?
O All bodies formed at the same time but from different nebulas spinning in different orientations.
O All bodies formed at the same time from the same spinning nebula.
O Different bodies formed at different times and from different nebulas spinning in different orientations.
Different bodies formed at different times but from the same spinning nebula.
The fact that all the planets of the solar system orbit in the same direction and that meteorites and rocks from the Moon have similar ages suggests that all the bodies of the solar system formed at the same time from the same spinning nebula.
This is known as the nebular hypothesis, which is the most widely accepted theory of the formation of the solar system.
According to the nebular hypothesis, the solar system formed from a rotating cloud of gas and dust called the solar nebula. As the nebula rotated, it flattened into a disk, with the Sun forming at the center and the planets forming from the material in the disk. The fact that all the planets orbit in the same direction and that meteorites and rocks from the Moon have similar ages suggests that they all formed from the same disk of material and at the same time.
What is the nebular hypothesis?The nebular hypothesis is the most widely accepted model in the field of cosmogony to explain the formation and evolution of the Solar System (as well as other planetary systems). It suggests that the Solar System formed from a rotating cloud of gas and dust called the solar nebula. As the nebula rotated, it flattened into a disk, with the Sun forming at the center and the planets forming from the material in the disk. The nebular hypothesis was first proposed by Immanuel Kant and later developed by Pierre-Simon Laplace in the 18th century.
The nebular hypothesis is supported by several lines of evidence, including the fact that all the planets of the solar system orbit in the same direction and that meteorites and rocks from the Moon have similar ages. These suggest that all the bodies of the solar system formed at the same time from the same spinning nebula.
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an ocean current moving from the equator toward a pole is
Answer:
A warm current
Explanation:
Answer:
A warm current is moving away from the equator towards the poles. The water in a warm current is warmer than the surrounding water.
A ball is thrown vertically upward with an initial speed of 50 m/s. if air resistance does affect motion, then what would be its speed upon returning to its starting point?
Answer:
your answer would 50 m/s I do believe
The correct answer for the speed of the ball upon resting to it's starting point is \(50\) m/s.
Given:
Initial speed: \(u = 50\) m/s
To calculate the speed upon resting position, Calculate the time requires to reach starting position:
Time required to reach starting point = 2 * (Time require to reach the maximum height)
Time required to reach the maximum height:
\(v = u+(-a )t\)
Final velocity(\(v\)) is \(0\) m/s.
Negative sign indicates negative acceleration:
\(t= \dfrac{50}{9.8}\\\\ = 5.10\)seconds
Time for start point = \(2 * 5.8\)
\(=10.6\) seconds
From equation of motion:
\(v= u+at\)
\(= 50 -9.8* 10.2\)
\(= -50.2\) m/s
Negative sign indicates downward direction.
Speed when ball return is is \(50\) m/s.
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Calculate the speed of a bus that travels a distance of 55 miles in 0.75 hours.
If it is 2:00 AM at 90 East longitude, what time is it at 75 East longitude? 11. If it is 8:00 PM at 15 East, what time is it at 135 East longitude? 12. How many hours difference is there between 105 West longitude and the Prime Meridian? 13. If it is 9:30 AM in New York which is located 41 North Latitude, and 75 West Longitude, what t is it in Lima Peru which is located at 15 South latitude, and 75 West Longitude?
Previous question
11.The time at 75° East longitude would be 1 hour and 20 minutes behind. 12.The time at 135° degrees East longitude would be 4 hours ahead. and 13. the time in Lima, Peru (15° South latitude, 75° West longitude) would also be 9:30 AM.
At 2:00 AM at 90° East longitude, the time at 75° East longitude would be 1 hour and 20 minutes behind. This is because for every 15 degrees of longitude, there is a time difference of approximately 1 hour. Since the two longitudes in question have a difference of 15 degrees, we can divide this by 15 to calculate the time difference.
If it is 8:00 PM at 15° East longitude, the time at 135° East longitude would be 4 hours ahead. Similarly, for every 15 degrees of longitude, there is an approximate time difference of 1 hour. Since the two longitudes in question have a difference of 120 degrees, we can divide this by 15 to calculate the time difference.
There is a 7-hour difference** between 105° West longitude and the Prime Meridian (0° longitude). The Prime Meridian, passing through Greenwich, England, serves as the reference point for determining time zones. As one moves westward from the Prime Meridian, each 15 degrees of longitude corresponds to a time difference of approximately 1 hour. Therefore, the time at 105° West longitude would be 7 hours behind the time at the Prime Meridian.
If it is 9:30 AM in New York (41° North latitude, 75° West longitude), the time in Lima, Peru (15° South latitude, 75° West longitude) would also be 9:30 AM. The latitude does not affect the time difference between the two locations. However, since both locations have the same longitude (75° West), they would experience the same local time. The time difference between different latitudes is primarily significant for determining time zones rather than the actual time within a specific time zone.
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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the building at a speed of 1.6 m/s, which is taken as the given dx/dt, how fast is the length of his shadow on the building decreasing when he is 4 m from the building
The speed of man when the length of his shadow on the building decreases when he is 4 m from the building will be 0.6 m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
Distance from spot shines = 12 m away
Height of man,h=2 m tall
Speed of man +1.6 m/s,
Distance from the building = 4 m
Let the height of shadow= y,
CD=x
Height of man=2 m
Speed of man:
\(\rm \frac{dx}{dt} = 1.6 \ m/sec\)
As the triangle ABD and ECD are similar. The property of the similarity is found as;
\(\rm \frac{y}{2} = \frac{12}{x} \\\\ xy = 24\)
Differentiate the above question with respect to x;
\(\rm x \frac{dy}{dt}+y\frac{dx}{dt}=0 \\\\ x\frac{dy}{dt}= -y\frac{dx}{dt}\)
From the given conditions the man is 4 m from the building the value of the remaining distance x is;
x=12-4
x=8 m
Speed of man:
\(\rm \frac{dx}{dt} = 1.6 \ m/sec\)
On putting all the values we get;
\(\rm \frac{y}{2} = \frac{12}{x} \\\\ xy = 24 \\\\ 8y = 24 \\\\ y= 3\)
The speed of man when the length of his shadow on the building decreases when he is 4 m from the building;
\(\rm \frac{dy}{dt} = - \frac{3}{8} \times 1.6 \ m/sec \\\\\ \frac{dy}{dt} = 0.6 \ m/sec.\)
Hence the value of the speed for the given conditions willl be 0.6 m/sec.
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Describe the differences between metals, nonmetals, and metalloids
Answer:
A metal is an element which is typically hard, shiny, fusible, malleable, and ductile, with good electrical and thermal conductivity. A nonmetal is an element that does not have the properties of a metal. A metalloid is an element having intermediate properties of both metals and nonmetals.
1. A 500.0 g metal block absorbs 5.875 × 103 J of heat to raise its temperature by 50.0 K. What is the substance? Show your work.
Specific Heats of Selected Substances
Substance
C [J/(kg·K)]
Water (ice)
2,060
Iron
450
Aluminum
897
Gold
130
Copper
385
Silver
235
Ammonia (liquid)
4,700
Water (liquid)
4,180
Water (steam)
2,020
Lead
128
The name of the substance is silver based on the specific heat capacity value.
What is the specific heat capacity of the substance?The specific heat capacity of the substance is calculated by applying the following formula for heat capacity.
Q = mcΔθ
where;
m is the mass of the substancec is the specific heat capacity of the substanceΔθ is the change in temperaturec = Q / mΔθ
The specific heat capacity of the substance is calculated as;
c = (5875 J ) / ( 500 g x 50 )
c = 0.235 J/kgK
The substance that has the same specific heat capacity calculated above is silver.
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What are the 7 steps of scientific method in order?
Answer:
1. Make an observation or ask a question.
2. Gather background information.
3. Create a hypothesis.
4. Create a prediction and perform a test.
5. Analyze the results and draw a conclusion.
6. Share the conclusion or decide what question to ask next.
7. Document the results of your experiment.
Hope this helps!
Seven scientific methods are observation, research, hypothesis, experimentation, data collection, result, conclusion and note.
What are the steps of scientific method ?Observation: Observe and identify a problem or question to be solved.
Research: Research and gather information and background knowledge on the problem.
Hypothesis: Develop a possible solution or explanation (hypothesis) for the problem.
Experimentation: Plan and conduct experiments to test the hypothesis.
Data Collection: Collect and analyze data from the experiments.
Results: Interpret and analyze the results to determine if the hypothesis was supported or rejected.
Conclusion: Draw a conclusion and make a statement about the problem based on the evidence collected during the experiments.
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12. The side of a FCC cubic unit cell of a monatomic crystal is 5.6 A. A wave is traveling along the [100] direction. The force constant between the two atoms is 1.5 x 10'dynes/em. The Young's modulus in the [100] direction is 5 x 10"dynes/s. The density of the crystal is 5g/ce. Estimate the frequency of the wave at which it is most strongly reflected from the crystal. Assume that the atoms lying away from the direction of propagation of the wave do not disturb it.
FCC cubic unit cellSide = a = 5.6AFor wave traveling along [100] direction,Distance traveled in 1 unit time = wavelength, λLet λ = x a (along [100] direction)where, x is a constantFor FCC crystal system, lattice parameter (a) = 4 × radius of each atomAtomic radius (r) = a / 2Let mass of each atom be mForce constant between the two atoms = kYoung's modulus in the [100] direction = YDensity of crystal = ρ Estimated frequency of the wave is ν = 2.5 × 10¹² Hz.
Therefore, mass of one atom, m = (ρ × a³) / (4 × π/3 × (a/2)³) = 4 × ρ × (a/2)³ / 3Force constant between two atoms, k = 1.5 × 10¹² dynes/cmYoung's modulus in [100] direction, Y = 5 × 10¹² dynes/cm²We have to find the frequency of the wave at which it is most strongly reflected from the crystal.We know that frequency, ν = c / λwhere, c is the speed of light.Now, the speed of light is not provided but as the problem states that atoms lying away from the direction of propagation of the wave do not disturb it, we can assume that it travels at the speed of sound.So, let's find the speed of sound using the following formula:v = √(Y / ρ) = √(5 × 10¹² / 5) = 1 × 10⁶ cm/sλ = x aν = v / λ = v / (x a)
We know that for a wave to be strongly reflected from a crystal, the incident wave should have the same frequency as that of the natural frequency of the crystal, which can be calculated using the following formula:f = (1/2π) √(k / m) = (1/2π) √(1.5 × 10¹² / m)As we are assuming that the wave travels at the speed of sound, we know that the wavelength of the sound wave is given by:λ = v / f
Therefore, the frequency of the wave at which it is most strongly reflected from the crystal can be calculated using the above equations.Estimated frequency of the wave is ν = (v / x a) (1/2π) √(m / k)The value of x is not provided in the problem but it can be assumed to be 1, so that λ = a.
Therefore,Estimated frequency of the wave is ν = (v / a) (1/2π) √(m / k)Substitute the given values to get,ν = (1 × 10⁶ / 5.6) (1/2π) √(4 × ρ × (a/2)³ / 1.5 × 10¹²)Simplify the expression to get,ν = (8.9 × 10¹⁰) (1/2π) √(ρ × a³) = (8.9 × 10¹⁰) (1/2π) √(5 × 5.6³)Estimated frequency of the wave is ν = 2.5 × 10¹² Hz.
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a pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?
(1) The time does pilot take the weight to hit the ground = 2.4 s
(2) The pilot travel before land = 400 m
Because fall time is proportional to fall height and acceleration due to gravity (g) is constant,
t₁ = t₂
s₁ = initial distance
s₂ = final distance
t₁ = initial time
t₂ = final time
Hence, the time does it take the weight to hit the ground = 2.4 s
The initial distance (s₁) = 200 m, and the pilot does a run at the same height but twice the speed.
So, the pilot travel before land:
s₂ = 2 x s₁
= 2 x 200 m
= 400 m
The question is incomplete, it should be:
There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground? How far does it travel before it lands?
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Almost ____ % of highway crashes involve drivers under 25 years of age
a. 40
b. 80
c. 90
d. 70
The answer is d. 70. Almost 70% of highway crashes involve drivers under 25 years of age.
Over the past 20 to 30 years, the number of road accidents and injuries in India has been rising alarmingly. The absence of adequate road infrastructure and the inefficiency of the methods and equipment used to maintain the traffic management system are the main causes of this issue. A daily average of nine persons in Punjab are killed in traffic accidents, according to the sixth progress report from the government of Punjab. Most developing nations place a high priority on research into artificial intelligence systems that can manage traffic accurately since many of these nations have not yet adopted autonomous traffic management systems.
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11. In conflict resolution,
promotes____ a win-lose outcome.
negotiation.
SANA MAKATULONG.
In the conflict resolution, promotes competition a win-lose outcome. Competition results into conflict when two parties tend to seek control over a situation.
What is Competition in conflict management?Competition results when one's own needs are advocated over the needs and requirements of others. It relies on an aggressive style of communication, which is of low regard for future relationships, and the exercise of coercive power. Those who are using a competitive style tend to seek control over a situation, in both the substance and ground rules.
There are times, when competition between two individuals can escalate into an unproductive, and dangerous conflict. The danger can range from unproductive behavior of a person to unethical behavior which could include physical attack. This results into a win-lose outcome.
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How do you do binomial expansion on a calculator?
Binomial Expansion is a mathematical technique that involves expanding a given expression with two terms (binomial) raised to a power. It can be useful in solving complex mathematical problems, but finding the expansion of a binomial expression by hand can be time-consuming and error-prone.
Fortunately, modern calculators can help simplify this process by providing built-in functions for binomial expansion. The specific method for using a calculator to perform a binomial expansion will depend on the type of calculator you have, but here is a general explanation for how it can be done:
Make sure your calculator is in the correct mode: Before using your calculator for binomial expansion, you need to make sure it is in the correct mode. For most calculators, this is the "math" or "algebra" mode.
Choose the correct function: Most calculators have a function specifically designed for binomial expansion, often referred to as the "binomial theorem" or "nCr" function. This function calculates the individual terms of the binomial expansion.
Input the binomial expression: Enter the binomial expression you want to expand, including the power to which it is raised. For example, if you want to expand (a + b)^3, enter (a + b) and then "^" followed by the power, "3".
Use the binomial theorem function: Apply the binomial theorem function to the expression. This will give you the individual terms of the expansion.
Verify the expansion: Compare the expansion generated by your calculator to a known result or to a binomial expansion table to make sure the expansion is correct.
Note: Not all calculators have a built-in binomial theorem function, so you may need to use a different method or software to expand binomials.
In conclusion, using a calculator to perform a binomial expansion can save time and reduce the risk of calculation errors. The specific steps may vary depending on the type of calculator you have, but the general idea is to choose the correct function and input the binomial expression.
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Is there static friction on anything that is not moving?
Or, is there static friction present ONLY when there is something trying to get something else to move, but it not moving?
The friction force is static since there is no relative motion between the shoe and the ground. The friction force, if any, is the static force of friction if there is no relative motion between the objects in contact (FS). An illustration would be a box that sits motionless on a ramp.
What is static friction?A force that holds an object at rest is called static friction. The following is a definition of static friction:
the resistance people feel when they try to move something that is stationary on a surface without actually moving their bodies or the surface they are trying to move it on.
It can be explained as the frictional force that perfectly balances the applied force throughout the body's stationary state.
The static frictional force is self-regulating, meaning that it will always be equal to and the opposite of the applied force.
Friction is the force that prevents an object from moving in the direction it is sliding along a surface, therefore it acts in the opposite direction. But a friction force can be felt even when an object is not moving.
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1.A Radio station broadcasts modern song on medium wave 350 Hz every day at ten o’clock in the morning. The velocity of radio wave is 3X108 ms-1. The wavelength of another wave created in water is one percent of the radio wave and the velocity of sound in water is 1450 ms-1.
How many times of the frequency of the radio wave that of the wave created in the water? Analyze mathematically.
Answer:
\(ans \: = \boxed{{4.8 \times 10}^{ - 4} Hz}\)
Explanation:
\(given \to \\ f_{r} = 350 \: \\ v_{r} = {3 \times 10}^{8} \\ but \to \\ v = f \gamma \to \: \gamma = \frac{v}{f} : hence \to \\ \gamma _{r} = \frac{v_{r}}{f_{r}} = \frac{3 \times 10^{8} }{350} = \boxed{857,142.85714 \: m}\\ therefore \to \\ given \to \\ f_{w} = water \: frequency = \: \boxed{ ?}\: \\ v_{w} = 14 50 \\ but \to \\ v = f \gamma \to \: \gamma = \frac{v}{f} : hence \to \\ \gamma _{w} = \frac{v_{w}}{f_{w}} = \frac{1}{100} \times \gamma _{r} = \frac{1}{100} \times 857,142.85714 \\\gamma _{w} = \boxed{8,571.4285714 \: m} : hence \to \: \\ f_{w} = \frac{v_{w}}{ \gamma _{w}} = \frac{1450}{8,571.4285714} = \boxed{0.1691666667} \\ if \: the \: number \: of \: times = \boxed{ x} \\ f_{r} (x)=f_{w} \\ (x) = \frac{f_{w}}{f_{r}} = \frac{0.1691666667}{350} = 0.0004833333 \\ hence \to \\ the \: frequency \: of \: the \: radio \: wave \: is \to \: \boxed{{4.8 \times 10}^{ - 4} }\: \\ that \: of \: the \: wave \: created \: in \: the \: water.\)
♨Rage♨
a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as: 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.
Using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.
Given:
Voltage input (V) = 30V
Initial speed (w) = 0
Step size (h) = 0.4s
Time at which speed is to be determined (t) = 0.8s
We need to determine the speed (w) at t = 0.8s using Heun's method.
We have k₁ = f(t₁, W₁) = 0.02 + 0.06w₁ (using the given equation)
At t = 0 and w = 0 (initial conditions), we have:
k₁ = 0.02 + 0.06(0) = 0.02
We have k₂ = f(t₁ + h, w₁ + k₁h) = 0.02 + 0.06(w₁ + 0.02h)
So, at t = 0.4s and w = 0 (initial conditions), we have:
k₂ = 0.02 + 0.06(0.02 * 0.4) = 0.02 + 0.00048 = 0.02048
So, W₂ = w₁ + (k₁ + k₂)(h/2)
= 0 + (0.02 + 0.02048)(0.4/2)
= 0.04048(0.2)
= 0.008096
Therefore, using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.
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The complete question is:
The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.4 s, determine the speed w at t = 0.8 s by using the Runge-Kutta 2nd order Heun's method. Heun's method: Wi+1=W₁ = w₁ + (-/-^₁ + = -K ₂ ) h where, k₁ = f(t₁, W₁) and k₂ = f(t₁ + h, w₁ + k₁h), the speed (w) at t = 0.8s is approximately 0.0081.
A 25g bullet is fired into a 2.0 kg block of wood initially at rest. The block and imbedded bullet then start moving at 4.0 m/s. Using the conservation of momentum, find the initial velocity of the bullet.
Answer:
\(\vec v_{0_{b}}=324 \ m/s\)
Conceptual:
Using the idea of momentum conservation to answer this question.
What is momentum?Momentum is a quantity an object has as it is in motion and is the product of that objects mass and velocity. Momentum is a conservable quantity as long as there are no external forces acting on the system. Momentum is measured in (kg·m²)/s and it is a vector quantity. We can calculate momentum using the following formula.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Formula for Momentum:}}\\\\ \vec P=m \vec v\end{array}\right}\)
Step-by-step:
Given:
\(m_b=25 \ g \rightarrow 0.025 \ kg\\m_w= 2.0\ kg\\\vec v_{f_{bw}}=4.0 \ m/s\)
Find:
\(\vec v_{o_{b}}= \ ?? \ m/s\)
In order to tackle this problem we need to analyze the objects before the collision and after the collision.
The initial momentum of the system:
\(\underline{ \vec P_0}\\\\\vec P_{0_{b}}=m_b \vec v_{0_{b}} \rightarrow (0.025)\vec v_{0_{b}}\\\\\vec P_{0_{w}}=m_w \vec v_{0_{w}} \rightarrow (2)(0)\\+ \rule{100}{0.5pt}\\\boxed{\vec P_0= (0.025)\vec v_{0_{b}}}\)
The final momentum of the system:
At this point the bullet is embedded in the wood so we can treat them as one object.
\(\underline{\vec P_f}\\\\\vec P_{f_{bw}}=(m_b+m_w) \vec v_{f_{bw}} \rightarrow (.025+2)(4) =8.1\\\\\therefore\boxed{\vec P_{f}=8.1}\)
Momentum is conserved. Thus, the initial momentum of the system must equal the final momentum of the system.
\(\vec P_{0}=\vec P_{f}\\\\\Longrightarrow 0.025 \vec v_{0_{b}}=8.1\\\\\Longrightarrow \vec v_{0_{b}}=\frac{8.1}{.025}\\ \\\therefore \boxed{\boxed{\vec v_{0_{b}}=324 \ m/s}}\)
Thus, the bullet's initial velocity was found.
A toy boat moves horizontally in a pond. The horizontal position of the boat in meters over time is shown below.
How much kinetic energy does a 2 kg book falling out of the backpack with a velocity of 4 m/s have?
Answer:
E = 16 J
Explanation:
Given that,
Mass of a book, m = 2 kg
Velocity of the book from the backpack, v = 4 m/s
We need to find the kinetic energy of the book falling out of the backpack. Due to the motion of the object, kinetic energy is possessed by it. It can be given by :
\(E=\dfrac{1}{2}mv^2\\\\=\dfrac{1}{2}\times 2\ kg\times (4\ m/s)^2\\\\=16\ J\)
So, the kinetic energy of the book is 16 J.
A 5 kg object and a 2 kg object are on opposite ends of a 4 m seesaw, with the fulcrum in the center. How far from the fulcrum must a 4 kg object be placed in order to keep it balanced?
A.1.5 m
B.0.5 m
C.2 m
D.1 m
To determine how far from the fulcrum a 4 kg object must be placed in order to keep the seesaw balanced,
Explanation:
1. Identify the masses and distances from the fulcrum:
- 5 kg object is 2 m away from the fulcrum (since the fulcrum is in the center).
- 2 kg object is 2 m away from the fulcrum.
- 4 kg object's distance is unknown (let's call it x).
2. Apply the principle of moments (torque balance):
- Clockwise moment = Counterclockwise moment
3. Calculate the moments:
- Clockwise moment: 5 kg * 2 m = 10 Nm
- Counterclockwise moment: 2 kg * 2 m + 4 kg * x = 4 Nm + 4x Nm
4. Set the moments equal and solve for x:
- 10 Nm = 4 Nm + 4x Nm
- 6 Nm = 4x Nm
- x = 1.5 m
The 4 kg object must be placed 1.5 m from the fulcrum to keep the seesaw balanced. So, the correct answer is A. 1.5 m.
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if you double the mass of an object while keeping the acceleration constant, you will double the force on the object halve the force on the object have no effect on the force of the object quadruple the force on the object
If you double the mass of an object while keeping the acceleration constant, you will double the force on the object.
According to Newton's second law of motion, the force acting on an object is directly proportional to the product of its mass and acceleration. Mathematically, this relationship is expressed as F = m * a, where F is the force, m is the mass, and a is the acceleration.When the acceleration is held constant and the mass is doubled, the force on the object will also double. This can be understood by rearranging the equation to F = (m * a) / 2 and observing that the acceleration remains unchanged while the mass is doubled. As a result, the force must also double to maintain the balance of the equation.
Therefore, doubling the mass of an object while keeping the acceleration constant will double the force on the object.
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The voltage in the lines that carry electric power to homes is typically 2000 V. What is the required ratio of the loops in the primary and secondary coils of the transformer to drop the voltage to 120 V?
Answer:
yurrrrr 221n54
Explanation:
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Answer:
b
Explanation:
EDGE 2021
A solution which has a solid solute is saturated at 25°C. It is then heated to 35°C. There is no change in the appearance of the solution. What term would now be associated with this solution?
A.
unsaturated
B.
saturated
C.
oversaturated
D.
supersaturated
Answer:
C. oversaturated
Explanation:
Sana nakatulong
What kinds of stars have either no habitable zones or very inferior ones