Heating of gas leads to change in kinetic energy of the gas.
As the temperature of the system increases, the molecules in it begin to move faster, and the speed of the particles is directly proportional to the kinetic energy.
Kinetic energy is the energy possessed by the gaseous particles while they are in motion.
Mathematically, KE = (1/2)mv^2,
where KE is kinetic energy, m is mass, and v is velocity.
When the temperature of a gas increases but the pressure remains the same, the volume of the gas increases, which means that the molecules must cover more space in the same amount of time by moving faster.
Kinetic energy increases as collisions between different molecules increase and the speed of motion increases. This behavior is demonstrated by Charles's law with the equation V/T = k. In this equation, V is the volume and T is the temperature, and the two are directly proportional. Similarly, temperature and pressure are also directly related, as in the Pressure law equation, P/T = k, where P is pressure and T is temperature.To know more about kinetic energy,
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va car with a mass of 950-kg and a speed of 22 m/s approaches the intersection from the west. a 1300-kg minivan traveling 15 m/s approached the intersection from the south. after the collision two cars move together. what is their speed and direction of the velocity?
The final speed of the car and minivan is 17.95 m/s
The mass of the car = 950 kg
The speed of the car = 22 m/s
The mass of the minivan = 1300 kg
The speed of the minivan = 15 m/s
The final speed of the car and minivan can be found using the conservation of momentum formula,
[tex]\displaystyle m_{1}v_{i1 } + m_{2}v_{i2} = m_{1}v_{f1} + m_{2}v_{f2}[/tex]
where [tex]\dispplaystyle m_{1}[/tex] is the mass of the car
[tex]\dispplaystyle m_{2}[/tex] is the mass of the minivan
[tex]\dispplaystyle v_{i1}[/tex] and [tex]\dispplaystyle v_{i2}[/tex] is the initial speed of the car and minivan respectively.
[tex]\dispplaystyle v_{f1}[/tex] and [tex]\dispplaystyle v_{f2}[/tex] is the final speed of the car and minivan respectively.
As the two cars move together, they would have the same final speed, i.e.
[tex]\dispplaystyle v_{f1} = \dispplaystyle v_{f2} = \dispplaystyle v_{f}[/tex]
Thus, the above equation becomes,
[tex]\displaystyle m_{1}v_{i1 } + m_{2}v_{i2} = (m_{1} + m_{2})v_{f}[/tex]
Let us substitute the known values in the above equation, we get
(950 x 22) + (1300 x 15) = (950 + 1300) [tex]\displaystyle v_{f}[/tex]
20,900 + 19.500 = 2,250 [tex]\displaystyle v_{f}[/tex]
40,400 = 2,250[tex]\displaystyle v_{f}[/tex]
40,400 / 2,250 = [tex]\displaystyle v_{f}[/tex]
= 17.95 m/s
Therefore, the final speed is 17.95 m/s
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The graph shows the displacement of a mouse
What is the farthest position the mouse reaches inside the tunnel?
7 meters into the tunnel
4 meters into the tunnel
3 meters into the tunnel
It cannot be determined from the information given
The farthest position the mouse reaches inside the tunnel is 4 meters into the tunnel.
From the graph,
The positions reached after,
5 s = 4 m
10 s = 2 m
20 s = 2 m
35 s = 3 m
40 s = 0 m
So the farthest position here is 4 m into the tunnel.
The rate of change of positions is displacement. So displacement will be change in initial and final positions divided by change in time.
s = Δx / Δt
Therefore, the farthest position the mouse reaches inside the tunnel is 4 meters into the tunnel.
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if you wish to reconstruct a complex wave from its fourier spectrum, what additional information must you obtain, other than the amplitudes of the harmonics?
In order to reconstruct a complex wave from its fourier spectrum, we must obtain the phase of each harmonic other than amplitudes of the harmonics.
The phase of each harmonic is needed because it tells you exactly where in time the harmonic will occur.
For example, if a wave has a frequency of 100 Hz, and you know that the phase of each harmonic is regularly spaced by 1 radian (180 degrees), then you can use this information to determine when each harmonic will occur. You can do this by dividing 360 degrees by the frequency and multiplying by 2 pi.
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To measure one wavelength, you would measure the distance between
C and A
C and F
D and B
A and B
To measure one wavelength, you would measure the distance between A and B.
option D is the correct answer.
What is one wavelength?
The wavelength of a wave is the distance travelled by a given a wave.
The wavelength of a wave is measured in meters and it depends on the frequency and speed of the wave.
One wavelength is distance measured from the trough to another trough of the wave form or the distance measured from crest to another crest of the wave form.
In the given image, the following are one wavelength;
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suppose the state machine shown below is in state c and receives the string 100010. what is its ending state?
B is its ending state for the state machine shown below is in state c and receives the string 100010.
A state machine is difficult to explain.A state machine reads a set of inputs and switches states in response to those inputs. A system is said to be in a state when it is waiting to make a transition. A transition is a sequence of steps to carry out when a condition is met or an event is received.
State machines are a type of programming architecture that enable dynamic flow between states based on values from earlier states or user inputs. Applications that can be categorized as a combination of the following fit well with this architecture: States. When to relocate to a specific state, using decision-making logic.
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a model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. the airplane engine provides a net thrust of 0.800 n perpendicular to the tethering wire. (a) find the torque the net thrust produces about the center of the circle. (b) find the angular acceleration of the airplane. (c) find the translational acceleration of the airplane tangent to its flight path.
The force on the section of the wall of the airplane is 3N.
The pressure outside the cabin of the commercial airplane is 0.150 atm and the pressure inside the airplane cabin is 0.900 atm.
The dimensions of the section of wall of the airplane are 2.00 m × 2.00m.
The area of the section = 4.00 m².
We know,
Force applied on the portion = pressure applied on that area × area
So, the force on the section of the wall of airplane will be,
Force = (0.900-0.150)×4
Force = 3N.
So, the force on the airplane is 3 Newtons.
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a sled of mass 2.49 kg has an initial speed of 4.53 m/s across a horizontal surface. the coefficient of kinetic friction between the sled and surface is 0.168. what is the speed of the sled after it has traveled a distance of 3.58 m?
The speed of the sled after it has travelled a distance 3.58 meter is 2.96m/s.
Mass of sled = 2.49kg
Initial speed across the horizontal surface = 4.53m/s
Coefficient of kinetic friction between the slate and surface = 0.168
Distance = 3.58m
Now to calculate the acceleration of sled we use :
F = ma
a = F/m
where
a = acceleration
m = mass
F = frictional force
a = μmg / m
a = μg
a = 0.168 x 9.8
a = 1.64m/s²
To calculate the speed of sled we use:
v² = u² - 2as
v² = (4.53)² - 2x 1.64 x 3.58
v² = 8.7785
v = 2.96m/s
The speed of the sled after it has travelled a distance 3.58 meter is 2.96m/s.
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Which option describes a vector quantity? (1 point)
O It has magnitude, units, and direction.
OIt has magnitude, but no units or direction.
It has magnitude and units, but no direction.
OIt has no magnitude, units, or direction.
A vector quantity has magnitude, units, and direction. So, the first option is correct.
A vector quantity, in physics, is a quantity that has both magnitude and direction. A vector with the value of magnitude equal to one is called a unit vector.
For example, a man is driving a car with a velocity of 90 km/hr in a northeast direction. Then, as we see for defining the velocity, we need two things, i.e. the magnitude of the velocity and its direction. Therefore, it represents a vector quantity. Other examples of vector quantities are displacement, acceleration, force, momentum, weight, the velocity of light, a gravitational field, current, and so on.
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Answer:
(Question) Which quantity is scalar?
(Answer) Energy
(Question) Which option describes a vector quantity?
(Answer) It has magnitude, units, and direction.
(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?
(Answer) It describes displacement, which is a vector quantity.
(Question) Which statement is true regarding a distance vs. time graph?
(Answer) The graph should show distance on the vertical axis.
(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates
(Answer) motion in the positive direction.
Explanation:
just did the quick check, enjoy UwU
What are the forces applied?
The forces applied on the bucket are tension and gravitational.
What is the gravitational force?
According to Newton’s gravitational law, it is the force exerted due to attraction between two objects that is directly proportional to the product of their masses and is inversely proportional to the square of distance between them.
The force applied to the bucket containing water is gravitational force. The gravitational force acts in downward direction and there is no change in the state of motion. There is another force as well which is the muscular force by which we hold the bucket in the upward direction with the help of our muscles. Tension is also exerted on the bucket as this force is seen in existence when any object is being pulled up with the help of string or rope. It is always seen in the direction which is parallel to the rope.
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30.0-kg child sits on one end of a long uniform beam having a mass of 20.0 kg, and a 40.0-kg child sits on the other end. the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. how long is the beam? a 30.0-kg child sits on one end of a long uniform beam having a mass of 20.0 kg, and a 40.0-kg child sits on the other end. the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. how long is the beam? 2.07 m 1.93 m 2.12 m 2.20 m 1.98 m
The length of the beam on which the the two boys are lying is 1.01 m.
The mass of one kid is 30 kg and the mass of the beam is 20kg, the beam is balanced at a distance of 1.10 m from the 30 kg boy when a 40kg boy was sitting at the other end of the beam.
If the beam is balanced at 1.10 m from the 30kg boy it means that there lies the center of mass of the system.
So, let us assume the length of the beam to be X meters and the assume the center of mass to be at center.
So,
0 = M₁X₁ + M₂X₂/M₁+M₂
M₁ is 30kg and X₁ is 1.10m.
M₂ is 40kg and the X₂ is (X-1.10)m.
Putting values,
0 = 30 x 1.1 + 40 x (X-1.1)
(1.1 - X)40 = 3.3
X = 1.01 m.
So, the length of the Beam is 1.01 m.
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A motorcycle travels a certain distance, moving with constant speed of 80 Km/h and in it he spends a time 5 hours. What will be its distance traveled?
☆ Hello ☆
We first apply the data to the problem.
Data:
V = 80km/hT = 5hrsD = ?Then, we apply the formula that is.
Formula:
D = V • TFinally we develop the problem.
Developing:
D = (80km/h) • (5hrs)D = 400kmThe distance traveled is 400 kilometers.
Uniform line movement
Rectilinear uniform motion is one in which an object moves in a straight line, it is a single direction, with a constant speed. When we speak of constant speed we mean that the movement maintains the same speed; that is, the object does not move faster or slower, always at the same speed.
We have that the data is:
Speed (V) = 80 km/h
Distance (d) = ?
Time (t) = 5 h
The formula for uniform motion is:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} } \end{gathered}$} }[/tex]
We clear for the distance
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=v*t} \end{gathered}$} }[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=80\ \frac{km}{\not{h}}*5\not{h} } \end{gathered}$}}[/tex]
[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=400 \ km} \end{gathered}$}}}[/tex]
Answer: The distance traveled is 400 km✅.To learn:https://brainly.com/question/16513152To learn:https://brainly.com/question/13682534To learn:https://brainly.com/question/17141837To learn:https://brainly.com/question/24000863To learn:https://brainly.com/question/16645603An aluminum tube of 3-in. Outside diameter is to carry a load P of 10 kips having an eccentricity e = 0. 6 in. Knowing that the stock of tubes available for use are made of aluminum alloy 2014-T6 and have wall thicknesses in increments of 116 in. Up to 12 in. , determine the lightest tube that can be used. Use the interaction method of design with an allowable stress in bending of 25 ksi. (Input the final answer as a fraction. )
The Method of Interaction It's a cooperative method for more effective teamwork.
Explain about the Interaction Method?
A combination of hardware and software components that enables computer users to carry out a single job is known as an interaction technique, user interface technique, or input technique.
Four fundamental interaction tasks exist: position, text, select, and quantify. These can be carried out using a variety of hardware and software tools, each of which has been given a category based on its capabilities and qualities.
An interaction occurs when two or more factors have an impact on one another. If one investigates each of their effects independently, they may not have as strong an impact on a result as they might if they occur simultaneously and interact. Caffeine and painkillers are an example of such interaction.
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what would happen to the force exerted by the sun on earth if the sun shrank and became half its present size while retaining the same mass?
The force would be the same. Since gravitational force only varies with object mass and separation
What is called gravitational?The force of gravity, often known as gravitation, affects every material object in the universe.The force of gravity tends to draw any two objects or particles with nonzero mass toward one another.From subatomic particles to galaxy clusters, gravity affects things of all sizes.A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.To learn more about Gravitational force refer,
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leveling the amount of work done at each work station is an example of this step in the continuous lean journey?
Leveling the amount of work done at each work station is an example of Value Stream Mapping.
Value stream mapping was developed out of lean manufacturing, which companies use to create a visual guide of all the components required to deliver a product or service for the purpose of analyzing and optimizing the entire process.
The process of creating a value stream map takes all the people, processes, information, and inventory you need and presents them in flowchart form.
Learning core Lean Six Sigma (LSS) tools can help you become more attractive to new employers or increase the value you offer in your current workplace in a number of ways, including:
Useful for career Promotes clear communication and collaboration encourages continuous improvement of processes.Enables cultural change within the organization visualizes delays, overstocks and production.To learn more about Value Stream Mapping apping, refer:
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a child and his sled have a combined mass of 40 kg. the sled/child system has a speed of 5 m/s speed at the top of a 10 m high slope. the sled and child descend the hill linearly along a distance of 100 m. determine the speed of the child and sled at the bottom of the 100 m slope, if the force of friction between the sled and snow is 20 n.
The speed of the child and sled at the bottom of the slope is 11 m/s.
What is mechanical energy?Mechanical energy, is the sum of potential energy and kinetic energy. The principle of conservation of mechanical energy states that mechanical energy is constant if an isolated system is subjected to only conservative forces.
Combined mass (m) = 40 kg
Speed at top of slope (v) = 5 m/s
Height of slope (h) = 10 m
Entire range of the slope (d) = 100 m
Force of friction (F) = -20 N
Work done by friction (W) = F × d
= -20 × 100
= -2000 J
Kinetic energy (KE) of sled at the top of slope = ¹/₂ mv²
= ¹/₂ × 40 × 5²
= 500 J
Potential energy (PE) of sled at the top of slope = mgh
= 40 × 9.8 × 10
= 3920 J
Now, total energy (E) of sled/child system at the top of slope = KE + PE
= 500 + 3920
= 4420 J
So, the energy left at the bottom of slope:
4420 J - 2000 J
= 2420 J
Now this lost energy is converted into kinetic energy of the system:
KE = ¹/₂ mv²
2420 J = ¹/₂ × 40 × v²
v² = 121
v = 11 m/s
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a 44 kg package is dropped by a parachute out of an airplane. what is the terminal speed of the package if the parachute has an area of 25 square meters. (use air density, p= 1.2kg/m^3
Terminal velocity of the package is 5.16 m/s
When the object's drag force is equal to the gravitational force then it experiences zero acceleration and so the velocity remains constant. Such constant velocity is called as terminal velocity.
Drag force is a kind of frictional force that opposes the flow of motion.
Mathematically drag force F = [tex]\frac{1}{2}[/tex]ρA[tex]v^{2}[/tex]
ρ = density of the package = 1.2 kg/[tex]m^{3}[/tex]
A = 25 [tex]m^{2}[/tex]
v = terminal speed
Also Force is the product of mass and acceleration
Mathematically F = ma
where
m = 44 kg
a = 10 m/[tex]s^{2}[/tex]
Therefore, F = 44 * 10 = 400 N
Putting value of F in the drag force equation we get,
400 = [tex]\frac{1}{2}[/tex]ρA[tex]v^{2}[/tex]
400 = [tex]\frac{1}{2}[/tex] * 1.2 * 25 * [tex]v^{2}[/tex]
[tex]v^{2} = \frac{400*2}{1.2 * 25}[/tex]
[tex]v^{2} = \frac{800}{30}[/tex]
v = [tex]\sqrt{26.66}[/tex]
v = 5.16 m/s
The terminal speed of the package if the parachute has an area of 25 [tex]m^{2}[/tex] is 5.16 m/s.
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Which has the most kinetic energy from its motion?
Multiple choice question.
cross out
A)
a 1,100-kg car traveling 60 km/h
cross out
B)
a 2,000-kg truck traveling 50 km/h
cross out
C)
a 900-kg car traveling 80 km/h
cross out
D)
a 300-kg motorcycle traveling 100 km/h
Among the given options the vehicle that has the most kinetic energy is a 900-kg car traveling 80 km/h
KE = 1 / 2 m v²
KE = Kinetic energy
m = Mass
v = Velocity
For A,
m = 1100 kg
v = 60 km / h
KE = 1 / 2 * 1100 * 60²
KE = 1980000 J
KE = 1980 KJ
For B,
m = 2000 kg
v = 50 km / h
KE = 1 / 2 * 2000 * 50²
KE = 2500000 J
KE = 2500 KJ
For C,
m = 900 kg
v = 80 km / h
KE = 1 / 2 * 900 * 80²
KE = 2880000 J
KE = 2880 KJ
For D,
m = 300 kg
v = 100 km / h
KE = 1 / 2 * 300 * 100²
KE = 1500000 J
KE = 1500 KJ
KEc > KEb > KEa > KEd
Therefore, the 900-kg car traveling 80 km/h has the most kinetic energy
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A 5kg cat is lifted 2meters into the air. how much gpe does it gain?
Answer:
98
Explanation:
You are asking for the pe right? I think this is right
Potential Energy= mgh = (5)(9.8)(2)= 98
why does saturn radiate even more excess energy than jupiter? why does saturn radiate even more excess energy than jupiter? saturn can fuse hydrogen into helium in its core, like the sun. helium rain gives off heat as it differentiates toward saturn's center. saturn's atmosphere contains much methane, creating a large greenhouse effect. saturn's thick cloud layer contributes to a larger greenhouse effect. saturn is still radiating heat left over from its formation.
Saturn radiates even more excess energy than Jupiter Helium rain gives off heat as it differentiates toward Saturn's center. Option B.
Its density is so low that it floats on water. Like Jupiter, Saturn emits almost twice as much energy as it receives from the Sun. This is because it has its own internal heat source driven by the slow gravitational collapse that began with the planet's formation. The Jupiter planet draws heat from the Sun and from within.
Jupiter produces a lot of internal heat and emits thermal radiation to release this heat. In fact, Jupiter produces so much internal heat that it emits almost twice as much energy as it receives from the Sun. Hydrogen exists in a liquid metallic state around the central rocky core and surrounds the inner half of the planet. Compared to Jupiter, Saturn's mass and volume consist of this conductive metallic liquid which may partly explain why Saturn's magnetic field is much weaker.
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a woman stands on the edge of a cliff. she throws three identical rocks with the same speed. rock a is thrown vertically downward, rock b is thrown horizontally, and rock c is thrown vertically upward. assuming the elevation loss of the three rocks is the same (the ground at the base of the cliff is flat), which rock hits the ground with the highest speed?
The speed with which the rock A, B and C which are thrown same initial speed and same mass hit the ground is equal for all the rocks.
Let us consider the initial velocity be 1 m / s and the height of the cliff to be 10 m.
For the rock A which is thrown vertically downward,
v² = u² + 2 a s
v² = 1 + ( 2 * 9.8 * 10 )
v² = 197 m / s
v = 14 m / s
For rock B which is thrown horizontally,
vx = 1 m / s
v² = u² + 2 a s
v² = 0 + ( 2 * 9.8 * 10 )
v = 14 m / s
vy = 14 m / s
v = √ vx² + vy²
v = √ 1 + 14²
v = √ 197
v = 14 m / s
As we can see here all rocks start with same gravitational potential energy and end with same gravitational energy. So all rocks have equal velocity and kinetic energy, and so energy is conserved. So they all hit the ground with same speed.
Therefore, they all hit the ground with the same speed.
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which is a way to exactly double the illuminance on an object? question 2 options: double the distance of the light source. quadruple the distance of the light source. double the luminous flux of the light source. cut the distance from the light source in half.
double the luminous flux of the light source is a way to exactly double the illuminance on an object.
The electromagnetic radiation that the human eye perceives as light, or visible light, is found in the region of the electromagnetic spectrum. Typically, visible light is characterized as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which are intermediate between the infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).
The term "light" can be used more generally in physics to refer to electromagnetic radiation of any wavelength, whether or not it is visible.
This makes gamma rays, X-rays, microwaves, and radio waves also constitute light. Intensity, the direction of propagation, frequency or wavelength spectrum, and polarization make up the fundamental characteristics of light. One of the basic constants of nature is its speed in a vacuum, 299 792 458 meters per second (m/s).
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a 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. the safe hits the spring and, in coming momentarily to rest, compresses it 50 cm. what is the spring constant of the spring?
The value of the spring constant of the spring is 156800N/m.
As per the work energy theorem, the work done in making the safe go down will be equal to the work done by the spring.
So it can be written
1/2kx² = mgh
K is the spring constant,
x is the compression,
m is the mass of the safe,
g is the acceleration due to gravity which is 9.8m/s²,
H is the height above the ground at which the safe is kept which is 2m.
Now, putting all the values,
1/2(k)(0.5)² = 1000(2)(9.8)
K = 156800 N/m.
So, the value of the spring constant is 156800 N/m.
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
The magnitude of the acceleration is -36 m/s² since the toy car is stopping thus, -36 is the deceleration of the toy.
The Force of the object is the product of the mass of the object with the acceleration with which it is moving. It is the vector product. The SI unit of force is Kg-m/s² or Newton(N). The equation for the force is,
F = ma
where F = Force
m = mass
a = acceleration
The values given for force f = 9.0N, m = 0.25kg
∴ F = ma
9.0 = 0.25 × a
a = 36 m/s²
Hence, the negative sign indicates the deceleration of the toy car thus the magnitude is -36m/s².
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catia when looking at an image of an object, what enables you to notice the surfaces and edges more clearly?
Orthographic projection enables you to notice the surfaces and edges more clearly.
What helps you to notice the surfaces and edges more clearly?Means of representing three-dimensional objects in two dimensions is called Orthographic projection.
Orthographic views helps us to represent a 3D object in 2D on a drawing. It can show an object viewed from each direction.
An orthographic projection has three views: front view, top view and side view. The right side is used for the side view but if the left side is used then it will be clearly labeled in the drawing. The final drawing is known as a 3 view drawing.
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6. what is the origin of the acceleration cue when in hover mode at 4 ktgs? in hover mode at 7 ktgs? in transition mode at 50 ktgs?
When the velocity vector is less than its maximum scale, the tip of the vector serves as the origin of the acceleration cue (6 KTGS). When the velocity vector is at or above maximum scale, the center of the LOS reticle serves as the origin of the acceleration cue.
Where does maximal velocity occur?Knowing that the system is in equilibrium at y=0, or when displacement and acceleration are both equal to zero, is known as the velocity maxima. As a result, the maximum velocity in simple harmonic motion at a given place can be calculated using the formula v=A. A velocity vector shows the rate of change in an object's position. The magnitude of a velocity vector represents an object's speed, whereas the vector's direction represents an object's direction. The apex—the highest point on any trajectory—is reached when vy=0. Given that we are aware of the initial location, initial and final velocities, and initial position, we may determine y using the equation v2y=v20y2g(yy0).
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the lift piston base and the input piston base are at the same height. what input force, , is required to maintain this system in equilibrium?
Input force = (Output force/Output area) × Input area
By Pascal Law,
Input force / input area = Output force / output area
By re-arranging,
Input force = (Output force/Output area) × Input area
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the hanging mass is referred to as m and it sets the centripetal force. group of answer choices true false
The answer is True
When we do not have the numerical value of mass.
The answer is False
By choosing a value of hanging mass it becomes false.
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bird bones have air pockets in them to reduce their weight. this also gives them an average density significantly less than that of the bones of other animals. suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). what mass of water is displaced?mass of water displaced:kg what is the volume of the bone?volume of the bone:m3 what is its average density?average density of the bone:kg/m3 question credit: openstax college physics
a) Mass of displaced water is 41.4 g or 0.0414 kg
b) Volume of the bone is 41.4 mL or 41.4 × 10⁻⁶m³
c) Average density of the bone is 1.09 g/ mL or 0.00109 × 10⁻⁶ Kg /m³
In the given question we have, the weight of some bird bones is measured in air outside of some water and the weight is 45.0 grams and the apparent weight in water is 3.60 grams. Now, we shall find out the weight of the displaced water? So the buoyant force is this difference between the weight of the bones out of the water and in the water, so the weight out of the water times g minus the weight in the water times g and then the g can be factored in and the buoyant force is also equal to the weight of the displaced fluid from Archimedes' principle
i.e., 45 × g - 3.60× g = weight/ mass of displaced water
weight of displaced water = 41.4 × g
g× mass of displaced water = 41.4 ×g
=> mass of displaced water = 41.2 grams
a) Mass of displaced water = 0.0414 Kg
b) the volume of the bones is going to be equal to the volume of water displaced.
We know that the density of water is the mass of water displaced divided by the volume of water. So the volume of water displaced is the weight of the water displaced divided by the density of the water.
Volume of water displaced = 41.4 grams / density of displaced water
density of water displaced = 1 grams / milliliters
So, the density of water is 41.4 milliliters or 41.4 ×10⁻⁶ m³
c) The average density of the bone is the weight of the bone divided by its volume,
Average density of bone = 45 grams / 41.4 mililitres
so it's value is 1.09 grams per milliliter or 0.00109 × 10⁻⁵ m³
To learn more about Archimedes' principle, refer
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If a ring particle survived for the age of the solar system, how many collisions would it undergo?.
Answer:
The answer is near 8 trillion
Explanation:
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Hydropower is the production of electrical energy through the use of
A. gravitational force
B. stored energy
C. water flowing upwards
D. water resistance
Answer:
gravitational force .. .. .
Explanation:
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