The electron's motion can be described as a combination of constant-speed horizontal motion and gravity-influenced vertical motion. The vertical motion can be described using the following equation:
y = v₀t + (1/2)gt²
where y represents vertical displacement, v0 represents initial vertical velocity (0 m/s), t represents the time elapsed, g represents gravity's acceleration (9.8 m/s²), and t represents the time elapsed.
Because the electron moves horizontally at a constant speed, its horizontal distance can be expressed as:
x = vt
where v denotes horizontal velocity (1.5 x 10(6) m/s).
We can use the relationship between horizontal and vertical distances to calculate the time elapsed:
35 cm = 0.35 m x = vt
t = x / v
Plugging in the values:
t = 0.35 m / (1.5 x 10⁶ m/s)
Substituting the time elapsed into the equation for the vertical displacement:
y = v₀t + (1/2)gt²
y = 0 m/s + (1/2)(9.8 m/s²)(t²)
So the electron will fall a distance of y in the vertical direction before hitting the screen.
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When determining the density of the unknown metal, the flask was filled less than one quarter way with the metal instead of halfway. When determining the volume of the flask, the student did not fill the flask completely with water and left approximately 1 ml or air at the top of the flask prior to weighting it. What will be the effect on the measured density of the unknown liquid and the unknown solid?
Density is an important property of a material that helps to identify it. In determining the density of an unknown metal, the volume of the metal and the volume of the flask it occupies play a crucial role. Inaccuracies in measuring these parameters can cause errors in the calculated density. In this scenario, two such inaccuracies have been mentioned - less than one quarter of the metal was filled in the flask and the flask was not completely filled with water when determining its volume. In this text, we will discuss the effects of these inaccuracies on the measured density of the unknown liquid and solid.
Effects on Measured Density:
Less than one quarter of metal in the flask:
When the flask was filled less than one quarter with the metal, it means that the volume occupied by the metal in the flask is smaller than what it should have been. This leads to an overestimation of the density of the metal as the numerator in the density equation (mass) remains the same while the denominator (volume) is smaller. This error will be proportional to the extent of the deviation from one quarter - the greater the deviation, the greater the error in the calculated density.
Flask not completely filled with water:
When determining the volume of the flask, it is important to fill it completely with water. The presence of air at the top of the flask results in an underestimation of its volume, leading to an overestimation of the density of the unknown metal. This is because the numerator in the density equation (mass) remains the same, while the denominator (volume) is smaller. The error will be proportional to the volume of the air present in the flask.
In conclusion, these inaccuracies in measuring the volume of the metal and the flask will result in errors in the calculated density of the unknown metal. To minimize these errors, it is important to follow standard procedures when determining density, including filling the flask halfway with the metal and completely with water when measuring its volume.
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at what condition is the wet-bulb temperature equal to the dry-bulb temperature in an open system containing a gas-vapour mixture? briefly describe your answer
At 100% relative humidity, the wet-bulb temperature equal to the dry-bulb temperature in an open system containing a gas-vapour mixture.
Relative humidity (RH) is the measure of the quantity of water vapour, or moisture, in the air, represented as a percentage of the maximum amount of moisture the air can contain at a particular temperature and pressure without condensing.
The mass of vapour per unit mass of the gas is used to define the humidity of a vapor-gas mixture. The mass of vapour per unit mass of the gas is used to define the humidity of a vapor-gas mixture. Any vapour existing in any noncondensable gas can be subject to this basic rule.
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if your car tire requires 30 psi of pressure, approximately how many kg per square cm would that equal?
If your automobile tyre needs 30 psi of pressure, it would roughly translate to 2.068427 kg/cm^2.
1 psi is equal to 6.894757 kPa, and 1 kPa is equal to 0.01 kg/cm^2.
So, 30 psi would equal:
30 psi * 6.894757 kPa/psi = 206.8427 kPa
And then:
206.8427 kPa * 0.01 kg/cm^2/kPa = 2.068427 kg/cm^2
The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.
The Imperial method of measuring measures pressure in pounds per square inch (PSI). PSI is frequently used to calculate the pressure of liquids or gases (hydraulic pressure).
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a 3.0μc point charge is at the origin of a coordinate system. another point charge of -6.0μc is at x = 1.0 m. what is the electric potential at the point where x = 0.50 m?
Answer: -5.4 * 10^4 V
Explanation:
q = 3 q2 = -6 x = 1
V = (kq1/r + kq2/r)
v = 1/(4pi*8.85*10^-12) * (-3/0.5)
V = -5.4*10^4 V
the cell has a potential difference of 2.0 V and the resistor has a resistance of
5.0 The ammeter reading is 0.9 A.
i) Show that the current through the resistor is 0.4 A.
Answer:
thie is your answer come again
Explanation:
it is
How can we describe the location of an object in the local sky?
The location of an object in the local sky can be described by its altitude and azimuth.
Altitude refers to the height of an object above the horizon. It is measured in degrees, with 0 degrees being the horizon and 90 degrees being directly overhead.
Azimuth refers to the object's position in the sky along the horizon. It is also measured in degrees, with 0 degrees being directly north, 90 degrees being directly east, 180 degrees being directly south, and 270 degrees being directly west.
Together, altitude and azimuth describe the position of an object in the local sky in a two-dimensional plane. By observing the altitude and azimuth of an object at different times, we can determine its motion across the sky, which can be used for navigation, identifying stars and constellations, and tracking the positions of celestial bodies.
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Which of the following statements are true in steady state (mark all that apply)?No heat is transferred from the system to the surrounding.Entropy can be produced.The pressure can change with position.The pressure can change with time.The local concentration does not change with time.The system is in equilibrium.
No heat is transferred from the system to the surrounding,The local concentration does not change with time.
The term "adiabatic process" refers to a change in a thermodynamic system where there is no heat transfer between the system and its environment. There is no heat exchange between the system and environment during the adiabatic process.
What method doesn't involve heat transfer?
A thermodynamic process known as adiabatic means that no heat is transferred into or out of the system. For an ideal gas, an adiabatic process is a reversible process with constant entropy.
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What does it mean when we say: momentum is conserved? (Law of Conservation of Momentum)
We say that momentum is conserved, we mean that the total momentum of a system remains constant.
This means that in any interaction or collision, the total amount of momentum before and after the collision is the same. This is due to the law of conservation of momentum, which states that the total momentum of a closed system (meaning that no external forces are acting on it) is constant. This means that the total momentum before and after an interaction must be the same, as the momentum of the system cannot be changed unless an external force acts on the system. Whether an elastic or non-elastic collision occurs, momentum is always conserved. Kinetic energy, however, is not conserved in a non-elastic collision; instead, it is transformed into heat energy, potential energy, etc.
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a particle undergoes simple harmonic motion. the graph shows the variation of velocity v of the particle with time t. what is the variation with the time of the acceleration a of the particle
The acceleration of the particle is given as the derivative of velocity with respect to time.
What is derivative of velocity ?The derivative of velocity is acceleration. Acceleration is the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration is typically measured in meters per second squared (m/s2). Acceleration can be positive, negative, or zero. Positive acceleration means that the velocity is increasing, negative acceleration means that the velocity is decreasing, and zero acceleration means that the velocity is constant. Acceleration can be caused by forces such as gravity, friction, and propulsion. For example, when an object is dropped, the force of gravity causes it to accelerate until it reaches a terminal velocity.
From the graph, it can be seen that the velocity of the particle increases with time when t is less than 1s, and it decreases with time when t is more than 1s. This implies that the acceleration of the particle is positive when t is less than 1s and is negative when t is more than 1s. Hence, the variation of acceleration of the particle with time is that it is positive when t is less than 1s and it is negative when t is more than 1s.
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Let the polar coordinates of the point (x,y) be (r,θ). Determine the polar coordinates for the points (a) (−x,y), (b) (−2x,−2y), and (c) (3x,−3y).
Answer: a. (-x, y) = (r, 90° + θ) , b. (−2x, −2y) = (2r, 180° + θ) , c. (3x, −3y) = (3r, 360°- θ)
What are Polar Coordinates?
Suppose we have a point O on the plane called the origin, let's say the axis through that point - x Axis – Called the polar axis.
Then the polar coordinates (r,θ) describes a point at an angle θ to the x-axis and a distance of r units from the origin. The θ value can be specified in degrees or radians.
The conversion from Cartesian to Polar is:
[tex]r= [x2 + y2]^{1/2}[/tex] and θ = tan-1 y/x
a] P = ( - x, y) is a point in the 2nd quadrant.
So, therefore, (-x, y) = (r, 90° + θ)
b] P = (-2x, -2y) is in the 3rd quadrant
=> R' = [(-2x)2 + (-2y)2] = 2R
therefore, (−2x, −2y) = (2r, 180° + θ)
c] P = (3x, - 3y)
Similarly, R' = 3R
and since this point is in the 4th quadrant (3x, −3y) = (3r, 360°- θ)
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The polar coordinates for the points a. (-x, y) = (r, 90° + θ) , b. (−2x, −2y) = (2r, 180° + θ) , c. (3x, −3y) = (3r, 360°- θ)
What are Polar Coordinates?
Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point (the pole) and an angle from a reference direction. It is most commonly used to plot points on a two-dimensional graph.
Suppose we have a point O on the plane called the origin, let's say the axis through that point - x Axis – Called the polar axis.
Then the polar coordinates (r,θ) describes a point at an angle θ to the x-axis and a distance of r units from the origin. The θ value can be specified in degrees or radians.
The conversion from Cartesian to Polar is:
[tex]r = [x2+y2]^{1/2}[/tex] and θ = tan-1 y/x
a] P = ( - x, y) is a point in the 2nd quadrant.
So, therefore, (-x, y) = (r, 90° + θ)
b] P = (-2x, -2y) is in the 3rd quadrant
=> R' = [(-2x)2 + (-2y)2] = 2R
therefore, (−2x, −2y) = (2r, 180° + θ)
c] P = (3x, - 3y)
Similarly, R' = 3R
and since this point is in the 4th quadrant (3x, −3y) = (3r, 360°- θ)
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How did astronomers finally solve the mystery of what gamma-ray bursts were? What instruments were required to find the solution?
A significant source of information used to determine the unidentified sources of the gamma-rays was data from NASA's Hubble and Fermi space telescopes.
What determine unidentified sources of the gamma-rays?Researchers examined data on a variety of galaxies, including their rates of star formation, total masses, physical sizes, and separations from Earth.
Several satellites used to track treaty compliance found a significant rise in the quantity of gamma rays they were counting every second.
Therefore, based on the effects of the freed atomic electrons in gases, crystals, and semiconductors, conventional methods for gamma ray detection are described in radiation measurement and scintillation counter. Atomic nuclei and gamma rays can collaborate.
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A significant source of information used to determine the unidentified sources of the gamma-rays was data from NASA's Hubble and Fermi space telescopes.
What determine unidentified sources of the gamma-rays?Researchers examined data on a variety of galaxies, including their rates of star formation, total masses, physical sizes, and separations from Earth.
Several satellites used to track treaty compliance found a significant rise in the quantity of gamma rays they were counting every second.
Therefore, based on the effects of the freed atomic electrons in gases, crystals, and semiconductors, conventional methods for gamma ray detection are described in radiation measurement and scintillation counter. Atomic nuclei and gamma rays can collaborate.
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the graph of the velocity-time relationship for the model rocket shows that in the time interval from 0.0s 0.0 s to 2.5s 2.5 s its acceleration is
The model rocket's velocity time connection graph demonstrates that its acceleration is constant between the time intervals of 0.0s 0.0 s and 2.5s 2.5 s.
The link between velocity time can be utilised to calculate an object's acceleration. The slope of the velocity-time graph will remain constant across the given time period if the graph displays a constant acceleration. The model rocket accelerates steadily from 0.0 seconds to 2.5 seconds in this instance.
By calculating the velocity difference across the time interval and dividing it by the time interval, the slope of the velocity-time graph may be used to determine the acceleration. The acceleration is the value that results. This may be accomplished by determining the slope and equation of the line that depicts the link between velocity and time.
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What is 187 Centimeters in Feet and Inches?
187cm will be 6.135ft and 73.5in
What does the measuring unit foot mean?
"Feet" is the plural form of the single unit of measurement known as "foot." The symbol for foot or feet is, and the abbreviation is ft. One foot-long bags, for instance, can be written as either 1 ft or 1'.
Simply measure the length in inches, multiply the result by 12, and then you will have the conversion to feet. The linear footage is the resultant number. Height and width are unimportant for this dimension.
1 inch equals 2.54 cm or 0.0254 m.
1 ft. = 12 in. = 0.3048 m
187cm will be 6.135ft i.e. 73.5in
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Determine the order of the given differential equation and state whether the equation is linear or nonlinear.
According to the question, given differential equation: y + y' = 0.
What is differential equation ?A differential equation is a mathematical equation that relates some function with its derivatives. It is a way to describe how a function changes over time in terms of its rate of change. Differential equations are used to solve a variety of real-world problems, from predicting weather patterns to describing the motion of planets in the solar system. They are also used to model physical systems such as electrical circuits and mechanical systems.
The order of the given differential equation is 1, and it is a linear equation. This is because the equation is linear in the highest derivative, which is y'. There are no other derivatives or nonlinear terms present in the equation.
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An object has a mass of 60 kg. It decelerates from 50 m/s to 20 m/s when a resultant force of 300 n acts on it. For how long does the force act?.
Answer:
To calculate for how long the force of 300 N acts on the object with a mass of 60 kg, you need to calculate the work done by the force using the equation W = F × d, where W is the work done, F is the force and d is the displacement. In this case, the displacement is the difference in velocities (50 m/s - 20 m/s), which is 30 m/s. Therefore, the work done is 300 N × 30 m/s = 9000 Nm. To calculate the time that the force acts, divide the work done by the force: 9000 Nm ÷ 300 N = 30 s. Therefore, the force of 300 N acts on the object for 30 seconds.
For 6 seconds, the force acts on the object.
Speed: The distance traveled by an object per unit time is defined as its speed. Speed is a scalar quantity because it has no direction and only magnitude. The SI unit is meter/second.
Given the following parameters:
F =300N is the resultant force acting on the object.
Object mass: M = 60 kg
As a result,
the object decelerates: a = F/m = 300 N /60kg = 5 m/s2.
Now read
The object's initial speed is u = 50 m/s.
The object's final speed is v = 20 m/s.
Decides the object's speed = u - v = 50 m/s - 20 m/s = 30 m/s.
The deceleration formula is:
deceleration = Decrees in object speed/time taken
Time taken = Decrees in object speed/deceleration
= 30/5 s
= 6s.
As a result, the force acts for 6 seconds.
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o find the volume of a certain cube, you measure its side as 2.00 ± 0.02 cm. convert this uncertainty to a percent and then find the volume with its uncertainty.
Its side measures 2.00 0.02 cm. Find the volume with this uncertainty, then convert it to a percentage. Therefore, the cube's volume is 8.00 cm3 + 3%.
The following is where to find the percent uncertainty:
(Uncertainty / Measurement) * 100% = (0.02 cm / 2.00 cm) * 100% = 1% is the formula for percent uncertainty.
The cube's side length is therefore 2.00 cm + 1%.
Simply raise the side length to the power of three to determine the cube's volume:
Volume = side length * 3 * (2.00 cm * 3 * 8.00 cm * 3 * 3)
The following is where the volume's uncertainty may be found:
Volumetric uncertainty is equal to side length uncertainty times three, or 1% times three, or 3%.
Therefore, the cube's volume is 8.00 cm3 + 3%.
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There are two point charges q1=(7.00x10^0) µC and q2=(-9.000x10^0) µC. q1 is located at origin (0, 0). q2 is located at ((7.0000x10^0) m,(6.000x10^0) m). Now we place another point charge q3 = (6.0000x10^0) µC at ((7.0000x10^0) m, 0), i.e. q3 is right underneath of q2 . Please calculated the Y-component of the electrostatic force on q3 . Give your answer in the unit of N with 3 sf.
Y-component of the electrostatic force on q3 is 9.36 x 10^-5 N.
What is electrostatic force?Electrostatic force is an attractive as well as repulsive force caused by electric charge particles
As F = k * q1 * q2 / r^2
k is Coulomb constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are magnitudes of the charges, and r is separation distance between the charges.
F1_y = k * q1 * q3 / r1^2 * sin(θ1)
r1 is separation distance between q1 and q3 and θ1 is angle between r1 and the positive Y-axis.
F2_y = k * q2 * q3 / r2^2 * sin(θ2)
r2 is separation distance between q2 and q3 and θ2 is angle between r2 and the positive Y-axis.
r1 = sqrt((7.0 m)^2 + (0 m)^2) = 7.0 m
θ1 = tan^(-1)(0 / 7.0) = 0 rad
r2 = sqrt((7.0 m)^2 + (6.0 m)^2) = sqrt(65.0) m = 8.06 m
θ2 = tan^(-1)(6.0 / 7.0) = 0.98 rad
F1_y = k * (7.00x10^0 µC) * (6.0000x10^0 µC) / (7.0 m)^2 * sin(0) = 0 N
F2_y = k * (-9.000x10^0 µC) * (6.0000x10^0 µC) / (8.06 m)^2 * sin(0.98 rad) = 9.36 x 10^-5 N
F_y = F1_y + F2_y = 9.36 x 10^-5 N
So, the Y-component of the electrostatic force on q3 is 9.36 x 10^-5 N.
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How to convert 70 kilograms to pounds?
To convert 70 kilograms to pounds, you must multiply 70 by 2.2046. This is because there are 2.2046 pounds in 1 kilogram.
What is pound ?
Pound is the unit of measurement for weight and mass in the Imperial system of measurement. It is a unit of mass equal to 16 ounces or 0.45 kilograms. It is often used in the United States for measuring the weight of products. Pound is also used in other countries like the United Kingdom, Canada, and Australia. It is denoted by the symbol "lb". Pound is also used to measure force, where it is equal to a mass of one pound multiplied by the acceleration due to gravity, which is 9.8 m/s2.
Therefore, 70 kilograms is equal to 154.323 pounds.
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how does the third law of thermodynamics allow absolute entropies of substances to be determined?
The third law of thermodynamics will allow by the absolute entropies of the substances to be determined by a reference point by which entropy will changes can be measured and assigned an absolute entropy for the substance.
The entropy of a system approaches a constant value when the temperature approaches absolute zero, according to the third rule of thermodynamics. The entropy of a system at absolute zero is typically zero, and in all the cases it is determined only by the number of different ground states it has.
It defines the sign of the entropy of any of the substance at temperatures above absolute zero as positive, and it provides a fixed reference point that allows us to measure the absolute entropy of any of the substance at any temperature.
The given question is incomplete. The complete question is 'A) It defines a reference point by which entropy changes can be measured and assigned as an absolute entropy for a substance. B) It defines the temperature at which all absolute entropies are measured. C) It requires that all energy in a process be conserved to accurately measure an absolute entropy. D) It provides a reference point for the absolute entropy of the universe. E) It requires that a process be reversible to measure the absolute entropy change.'
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a negative charge that is in an electric field experiences a force that is
A negative charge experiences a force opposite to the direction of the electric field.
What is an electric field, exactly?
electric field, an electric property that is connected to every point in space when any kind of charge is present. The electric field strength, intensity, or simply the electric field is expressed by the value of E, which indicates the magnitude and direction of the electric field.
What characteristics do electric field lines possess?There is never a point where the field lines meet. The charge's surface is perpendicular to the field lines. Both the quantity of field lines and the magnitude of the charge are proportional to one another.
Question incomplete:a negative charge that is in an electric field experiences a force that is
A. opposite to the direction of the electric field.
B. same to the direction of the electric field.
C. vertical to the direction of electric field.
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Consider a three qubit system. What is the total number of basis states in the state space ? (a) 3 (b) 8 (c) 2 (d) 1
Qubits are fascinating, but they do not really assistance with computations on their own. We'll now examine how many qubits are maintained and how they may converse each other.
We've seen how to use a 2D vector to represent the state of a single qubit; now let's see how to do it for several qubits.
These vectors rise massively with the number of qubits, as can be shown. This answers why recreating quantum computers with many of qubits is so difficult. The greatest super computers are incapable of simulate a general quantum state with far more than 100 qubits, yet a contemporary laptop can do so with relative ease. The expression, for illustration, describes a system of three qubits.
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in a circus performance, a monkey on a sled is given a initial speed of 4.0 m/s up a 25 degree incline. the combined mass of the monkey and the sled is 20.0 kg and the coefficient of kinetic friction between the sled and incline is .20 how far up the incline does the sled move before it comes to rest
The sled moves 160.97 meter up the incline before it comes to rest.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy.
According to conservation of energy:
initial kinetic energy = potential energy + work done against friction
1/2 × 20.0 × 4.0² = 20.0 × 9.8 ×h + 0.20 × 20.0 × 9.8 ×h
h = (1/2 × 20.0 × 4.0²) ÷ {(1 +0.20) × 20.0 × 9.8}
h = 68.03
Hence, l = 68.03/sin25° meter = 160.97 meter
Hence, the sled moves 160.97 meter up the incline before it comes to rest.
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a 1-kg ball that is traveling at 12.0 m/s collides head-on with a 3-kg ball moving in the opposite direction at a speed of 2.0 m/s. the 1-kg ball bounces backward at 9.0 m/s after the collision. find the speed of the second ball after the collision. (check definitions for options)
Velocity of first ball is -28m/s , and velocity of second ball is -4m/s.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position. It is equal to the displacement of an object divided by the time interval over which the displacement occurred. Velocity has both magnitude and direction, and its units are typically meters per second (m/s). The velocity of an object can change over time due to acceleration, and if an object is moving in a circular path, it also has a component of velocity perpendicular to its direction of motion, known as centripetal velocity.
Given : Coefficient of restitution
[tex]$e=\dfrac{2}{3}$Velocity of mass[/tex]
[tex]$$1 \mathrm{~kg}$ after the collision is given by \\\\$V_1=\dfrac{\left(m_1-e m_2\right) u_1+(1+e) m_2 u_2}{m_1+m_2}$\\Or $\quad V_1=\dfrac{\left(1-\frac{2}{3} \times 2\right) \times 12+\left(1+\frac{2}{3}\right) \times 2 \times(-24)}{1+2}=-28 \mathrm{~m} / \mathrm{s}$\\[/tex]
[tex]Velocity of mass $2 \mathrm{~kg}$ after the collision is given by \\$V_2=\dfrac{\left(m-e m_1\right) u_2+(1+e) m_1 u_1}{m_1+m_2}$\\Or $\quad V_2=\dfrac{\left(2-\frac{2}{3} \times 1\right) \times(-24)+\left(1+\frac{2}{3}\right) \times 1 \times(12)}{1+2}=-4 \mathrm{~m} / \mathrm{s}$[/tex]
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a manometer attached to a pressurized nitrogen tank reads 28 inches of mercury. if the atmospheric pressure is 14.4 psia, what is the absolute pressure in the tank? multiple choice question. 29.1 psia 28.2 psia 13.8 psia 14.4 psia -0.3 psia
A manometer attached to a pressurized nitrogen tank reads 28 inches of mercury. if the atmospheric pressure is 14.4 psia, the absolute pressure in the tank is 28.2 psia.
The atmospheric pressure is 14.4 psia, and the manometer reading is 28 inches of mercury. The difference in pressure between the atmosphere and the pressure in the tank is equal to the difference in height between the liquid levels in the manometer tubes.
1 inch of mercury is equal to approximately 0.491 psia, so 28 inches of mercury is equivalent to:
28 inches * 0.491 psia/inch = 13.788 psia
Therefore, the absolute pressure in the tank is:
14.4 psia + 13.788 psia = 28.188 psia
So, the correct answer is 28.2 psia.
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A car travels on the entrance ramp to a freeway as it accelerates from v to the freeway speed of 7v3 in time t. Assume the car moves with constant acceleration.
The speed increase of the vehicle can be tracked down utilizing the equation: speed increase = (last speed - introductory speed)/time.
The formula is:
vf = vi + at
Where,
vf = 7v/3 (last speed)
vi = v (starting speed)
t = time taken to arrive at the last speed
Reworking the condition, we can track down speed increase (a) as:
a = (vf - vi)/t
We can then substitute the given qualities for vf, vi and t to track down the speed increase.
The speed increase of the vehicle can be tracked down utilizing the equation: speed increase = (last speed - introductory speed)/time. The speed increase can then be utilized to find the uprooting of the vehicle utilizing the equation: relocation = introductory speed * time + 0.5 * speed increase * time^2.
The speed increase of a vehicle can be determined by deciding the adjustment of speed over a specific timeframe, utilizing the condition speed increase = (last speed - introductory speed)/time. This speed increase can then be utilized to compute the vehicle's relocation during that time, utilizing the condition dislodging = introductory speed * time + 0.5 * speed increase * time^2. By knowing the underlying speed, last speed, and time, we can find both the speed increase and uprooting of the vehicle as it goes from v to 7v/3 on the on-ramp to a road.
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The complete question is:
A car travels on the entrance ramp to a freeway as it accelerates from v to the freeway speed of 7v3 in time t. Assume the car moves with constant acceleration. which of the following formula of velocity of kinematic should use?
a. v = vi + at.
b. v² = vi² + 2as.
c. s = vi*t + ½at²
compare the accelerations determined for the acceleration vs time and velocity vs time graphs. calculate their percent difference and discuss. use extra pages if necessary
Finding the area of a velocity-versus-time graph will reveal the displacement because velocity is equal to the product of the displacement and the time. Finding the area of a graph of acceleration vs. time will give you the change in velocity because acceleration is equal to the velocity change divided by the time.
As the word constant denotes steadiness, the graph of velocity vs. time for constant acceleration shows that the acceleration is constant throughout the motion; however, we can determine the change in velocity of a body for a given period by calculating the slope of the plotted curve on the V-T graph. If an item experiences this kind of acceleration, the graph that is drawn will have a linear slope, and these curves are used to calculate only variable velocity.
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A company produces 3 types of cables: A, B, and C. In-house production costs per foot of cables A, B, and Care S6, S8, and $10, respectively. The production process requires 5 resources: Drawing, Annealing, Stranding, Extrusion, and Assembly. For each resource, the table below specifies the number of minutes of the resource needed to produce a foot of each type of cable. For example, to produce each foot of Cable C, we need 0.1 minutes of Drawing, 0.2 minutes of Annealing, 0.3 minutes of Stranding, 0.1 minutes of Extrusion, and 0.4 minutes of Assembly. The column "Available hours", specifies the number of hours of each resource available during a production period For the next production period the firm is contractually obligated to produce 60,000 feet of A, 40,000 feet of B, and 120,000 feet of C. Due to limited resource availability, these demands cannot be met by in-house production alone. The company must procure cables from an outsourcing partner, at higher costs, to meet the demand. The costs per foot for purchasing cables A, B, and C from the outsourcing partner are $8, $10, and $15, respectively. The production manager must decide how much of each type of cable to produce in-house and how much to purchase from the outsourcing partner to meet the demands at minimum cost. Relevant data is summarized in the table below: A B с Available hours 60,000 $6 $8 0.1 Cable Type Demand (ft) Production Cost/ft Purchase Cost/ft Drawing (mins/ft) Annealing (mins/ft) Stranding (mins/ft) Extrusion (mins/ft) Assembly (mins/ft) 40,000 $8 $10 0.2 0.2 120,000 $10 $15 0.1 0.2 400 600 0.1 0.1 0.3 800 0.3 0.3 0.1 0.1 500 0.2 0.1 0.4 1000 Define the decision variables and specify the objective function and constraints. Decision Variables: XA, XB XC: Number of feet of Cables A, B, and C produced. YA, YB, YC: Number of feet of Cables A, B, and C purchased. Objective Function: Our objective is to minimize total cost = cost of production + cost of purchase Minimize Cost - 6 XA + 8 XB + 10 xC + 8 YA + 10 YB + 15 YC Constraints: Number of feet of Cable A produced + Number of feet of Cable A purchased should be no less than the demand for Cable A. Demand A: XA + YA >= 60000 Similarly, specify demand constraints for Cable B and Cable C. Demand B: XB + YB >= 40000 Demand.c: XC + YC >= 120000 Number of minutes of Drawing used should not exceed the number of minutes available. Drawing availability: 0.1 XA + 0.2 XB + 0.1 xC <- 24000 Similarly, specify availablility constraints for the other 4 resources. Annealing availability: 0.1 XA + 0.2 XB + 0.2 xC <= 36000 Stranding availability: 0.1 XA + 0.3 XB + 0.3 x <= 48000 Extrusion availability: 0.1 XA + 0.3 XB + 0.1 x <= 30000 Assembly availability: 0.2 XA + 0.1 XB + 0.4 x <= 60000 All decision variables are non-negative.
The goal of this linear programming issue is to reduce the cost of manufacturing and purchasing the three different types of wires (A, B, and C).
The production and purchase quantities of each type of cable (XA, XB, and XC) serve as the decision factors (YA, YB, YC). The limitations are determined by the demand for each cable, the availability of resources (drawing, annealing, stranding, extrusion, and assembly), and the decision factors' non-negativity. The goal is to reduce the total cost, which is determined by adding the costs of production and purchases. To find the best way to produce and buy cables to meet demand at the lowest possible cost, the problem can be handled using linear programming techniques.
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when an epiphyseal plate closes longitudinal growth is no longer possible T/F
"The given statement When an epiphyseal plate closes longitudinal growth is no longer possible is true."
Longitudinal growth is no longer possible when an epiphyseal plate closes.
When longitudinal growth ends, proliferation comes to an end, and the final adult height is attained. Senescence of the growth plate is the name for this process.
As kids get older, the growth plates fuse into solid bone. A growth plate that has completely fused with bone is said to be closed. When a growth plate shuts, the bones stop developing.
In the epiphyseal growth plates, chondrocyte proliferation and subsequent endochondral ossification lead to longitudinal bone development. The growth-plate, a cartilaginous template, is found between the long bones' epiphysis and metaphysis.
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gauss’s law is useful for calculating electric fields that are____
Gauss’s law is useful for calculating electric fields that are uniform.A closed surface (GS) can be easily find along which the electric field is uniform.
In material science and electromagnetism, Gauss' regulation, otherwise called Gauss' transition hypothesis, (or once in a while essentially called Gauss' hypothesis) is a regulation relating the dissemination of electric charge to the subsequent electric field. In its basic structure, it expresses that the transition of the electric field out of an erratic shut surface is relative to the electric charge encased by the surface, regardless of how that charge is disseminated. Despite the fact that the law alone is lacking to decide the electric field across a surface encasing any charge dissemination, this might be conceivable in situations where evenness commands consistency of the field. Where no such evenness exists, Gauss' regulation can be utilized in its differential structure, which expresses that the dissimilarity of the electric field is corresponding to the neighborhood thickness of charge.
The law was first[1] figured out by Joseph-Louis Lagrange in 1773,[2] followed via Carl Friedrich Gauss in 1835,[3] both with regards to the fascination of ellipsoids. It is one of Maxwell's four conditions, which frames the premise of old style electrodynamics.[note 1] Gauss' regulation can be utilized to infer Coulomb's law,[4] as well as the other way around.
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3. compare the means of each group (aspd and no aspd). what can you say about the narcissism scores of the aspd group compared to the no aspd group? (5 pts)
The mean of the ASPD group is likely higher than the mean of the no ASPD group.
ASPD stands for Antisocial Personality Disorder, which is a mental health condition characterized by a persistent pattern of disregarding the rights of others and engaging in illegal or unethical behavior. If a study were conducted to compare the means of the ASPD and no ASPD groups in terms of narcissism scores, it would likely show that the mean of the ASPD group is higher than the mean of the no ASPD group.
Narcissism is a personality trait characterized by a grandiose sense of self-importance, a sense of entitlement, and a lack of empathy for others. People with ASPD are often considered to be narcissistic, so it is likely that the mean narcissism score for the ASPD group would be higher than the mean score for the no ASPD group.
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