Due to the dependence of gas volume on temperature and pressure, gases are not commercially marketed by volume.
The space occupied by the gaseous particles under typical pressure and temperature circumstances is referred to as the volume of gas.
It has the symbol "V."
The symbol for volume in the SI is "litres," or "L".
When the gas is at normal temperature, a mole has a volume of 24 m3, or 24 000 cm3.
The molar volume of a gas is this quantity.
The body of lecture 18 is included in the material that follows. The Gas Laws, including the Ideal and Combined Gas Laws, as well as Charles', Boyle's, Avagadro's, and Gay Lussacs', are covered in this lecture.
The four primary characteristics of gases are related to one another by four main principles.
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the maximum lift-to-drag ratio of the world war i sopwith camel was 7.7. if the aircraft is in flight at 2250 ft when the engine fails, how far can it glide in terms of distance measured along the ground?
The far that can it glide in terms of distance measured along the ground is 38,500 ft.
Given that,
World War I Sopwith Camel was 7.7.
If the aircraft is in flight at 5000 ft when the engine fails.
Based on the above information, the calculation is as follows:
[tex]\begin{aligned}& \frac{\text { lift }}{d r a g}=\frac{\text { Distance }}{\text { height }} \\& 7.7=\text { Distance } \div 5500\end{aligned}[/tex]
So, the distance is 38,500 ft.
Distance is a measurement of how far away two things or locations are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common use.
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which type of wave is characterized by particle motion that is both perpendicular and parallel to the wave? responses longitudinal longitudinal electromagnetic electromagnetic surface surface transverse
Mechanical waves come in two different varieties: longitudinal waves, in which the medium is moved in the same direction as the wave.
What kind of wave is distinguished by the motion of a particle that moves perpendicular to the wave?The motion of the wave and the particles is always parallel in longitudinal waves. A classic illustration of a longitudinal wave is a sound wave that is moving through air.
What kind of wave best explains situations where particle motion is opposed to energy motion?Particles are displaced perpendicular to the wave's direction in a transverse wave. Transverse waves, such as those that cause ripples on the water's surface and vibrations in a string, are examples.
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two people apply the same force from the same height to throw two identical balls in the air. will the balls necessarily travel the same distance? why or why not?
The gravitational force acting on the balls is different, so they won't necessarily move the same distance.
Everything falls at the same rate due to gravity. This explains why balls of different weights strike the ground simultaneously. The force acting downward is gravity, whereas the force acting upward is air resistance. The pull that is designated as tension is in that direction. As a result, the tension will point toward the string or rope and away from the mass. When a mass is hanging, the string pulls it upward, applying an upper force, which causes the tension to be on the upper side.
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PLEASE HELPPPPP
A 0.18 kg plastic ball moves with a velocity of 0.39 m/s. It collides with a second plastic ball of mass 0.016 kg, which is moving along the same line at a speed of 0.05 m/s. After the collision, both balls continue moving in the same, original direction. The speed of the 0.016 kg ball is 0.26 m/s. What is the new velocity of the 0.18 kg ball?
The new velocity of the 0.18 kg ball, given that it's initial velocity was 0.39 m/s is 0.37 m/s
How do I determine the velocity of the 0.18 kg ball after collision?The following data were obtained from the question:
Mass of first ball (m₁) = 0.18 KgInitial velocity of first ball (u₁) = 0.39 m/sMass of second ball (m₂) = 0.016 KgInitial velocity of second ball (u₂) = 0.05 m/sNew velocity of second (v₂) = 0.26 m/sNew velocity of first ball (v₁) = ?The new velocity of the first ball (0.18 Kg) can be obtained as follow:
Momentum before = Momentum after
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(0.18 × 0.39) + (0.016 × 0.05) = (0.18 × v₁) + (0.016 × 0.26)
0.0702 + 0.0008 = 0.18v₁ + 0.00416
Collect like terms
0.18v₁ = 0.0702 + 0.0008 - 0.00416
0.18v₁ = 0.06684
Divide both sides by 0.18
v₁ = 0.06684 / 0.18
v₁ = 0.37 m/s
Thus, the new velocity of the 0.18 Kg ball is 0.37 m/s
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which changes by the largest factor along the main sequence from spectral types o to m: mass or luminosity?
The mass varies from only about 100M suns to about 0.08M suns or by about a factor of 1000 along the main sequence, whereas the luminosity varies from 10^6 for the most luminous stars to less than 0.001 or factors of more than 10^9 for the least luminous.
Only the radii of main sequence stars are fairly similar to that of the sun, which implies that the radii change by a smaller factor than the luminosity. The validity of the conclusion can be shown by noting that the luminosity of a star is proportional to R^2T^4, but this is beyond what is covered.
A main-sequence star is a star that burns hydrogen just like the Sun. Massive main-sequence stars are hot and in the upper left of the strip. Low-mass stars have low temperatures and are located in the lower right corner. Massive stars rapidly burn up all their hydrogen in just a few million years. luminosity and distance.
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maxwell developed his theory of electromagnetism by combining previous discoveries. he added his own original hypothesis that
The hypothesis is that, a changing electric field gives rise to a magnetic field.
What is electromagnetism?
The electromagnetic force that exists between electrically charged particles is the subject of the branch of physics known as electromagnetism. One of the four fundamental forces is the electromagnetic force.
What is electric field?
The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (or E-field).
What is magnetic field?
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.
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how large a net force is required to accelerate a 1200-kg suv from rest to a speed of 25 m/s in a distance of 200 m?
A 1200 kg SUV will take 1875.6 N of net force to accelerate it across 200 meters at 25 m/s from a standstill.
Where:
a = acceleration (m/s²)
v = final velocity (m/s)
u = initial velocity (m/s)
s = distance (m)
v² - u² = 2as
a = v² - u²/2s
a = 25² - 0²/2(200)
a = 625/400
a = 1.563m/s²
Since a = 1.563m/s²
F = 1200 × 1.563
F = 1875.6N
Therefore, a 1200 kg SUV will need to accelerate with a net force of 1875.6 N over a 200 m distance to reach a speed of 25 m/s.
In mechanics, a force is any action that has the potential to change, maintain, or deform a body's motion. The three principles of motion outlined by Isaac Newton in his Principia Mathematica are frequently used to illustrate the concept of force (1687). Newton's first law states that a body at rest or moving uniformly in a straight line will stay in that state until a force is applied to it. According to the second law, a body will accelerate (change in velocity) in the direction of any external force acting on it. The amount of acceleration is directly related to the amount of external force.
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What is the function of the muscles around the lens in the human eye?
They focus light rays onto light-sensor cells at the back of the eye.
They control the amount of light that passes through the lens.
They send signals to the brain.
They change the shape of the lens.
Answer: They change the shape of the lens
Explanation: It enables the lens to change its shape to focus on objects at various distances
Consider an R-L circuit with a DC voltage source, as shown in the figure. This circuit has a current 1, when t <0. At t=0 the switch is thrown removing the DC voltage source from the circuit. The current decays to I(t) at time t AA VVV R A.) What is the power, Pr(t), flowing into the resistor, R, at time t? Express your answer in terms of I(t) and R. B.) What is the power flowing into the inductor? Express your answer as a function of R and I(t).
The power, the resistor and time is I²₀R e-2Rt/L and - I₀²R e-2Rt/L .
Work rate or energy delivery time is expressed as W/t, where W is the quantity of work completed or energy delivered, and t is the time interval.
A passive electrical device with two terminals that controls or limits the flow of electricity across electrical circuits. The main function of a resistor is to lower the voltage and reduce the current flow in a specific area of the circuit.
a) L di/dt + iR = 0 -Rt/L
= I = I₀ e
At t=0. I = I₀
= Pr = I²R = I₀ R e = -2Rt/t
= Pr (t) = I²₀R e-2Rt/L
b) Energy of inductor = 1/2 L I²
= 1/2 L I₀² e-2Rt/L
Power, Pl (t) = dE/dt
= d/dt (1/2 LI₀² e-2Rt/L)
= 1/2 t I₀² ( e-2Rt/L) e-2Rt/L
Pl (t) = - I₀²R e-2Rt/L
Therefore, the power, the resistor and time is I²₀R e-2Rt/L and - I₀²R e-2Rt/L .
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a light truck can go around a flat curve of a 140 m radius with a speed of 26 m/s. what is the acceleration of the truck (in m/s2)
The acceleration of the light truck travelling around a flat curve with a radius of 140 m and a speed of 26 m/s is 17.14 m/s².
The acceleration of a light truck travelling around a flat curve with a radius of 140 m and a speed of 26 m/s can be calculated by using the equation: acceleration = (v2/r).
In this equation, ‘v’ is the speed of the truck, and ‘r’ is the radius of the curve.
Therefore, when substituting these values into the equation, we get: acceleration
= (262/140)
= 17.14 m/s².
This means that the acceleration of the light truck travelling around a flat curve with a radius of 140 m and a speed of 26 m/s is 17.14 m/s².
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g a block is pulled at a constant speed along a rough level surface by a rope the magnitude of the normal force could be reduced by
g a block is pulled at a constant speed along a rough level surface by a rope the magnitude of the normal force could be reduced by greater than zero but less than W.
A force is an effect that can alter an object's motion according to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P). The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress.
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bert and ernie are pushing on opposite sides of the box. if they can both push with the same amount of force, what is true about the motion of the box?
The box will be in rest due to net force applied on it is zero.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Given that Bert and Ernie are pushing on opposite sides of the box with force of same magnitude, let it be F.
So, net force acting om the force = F-F = 0.
As that net force acting on the box is zero, the box will be in rest.
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a waterskier skis over the ramp shown in the figure at a speed of 30 ftys. how fast is she rising as she leaves the ramp?
A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s, 7.73 ft/sec is rising as she leaves the ramp.
We assume the hypotenues = h
From the given figure (attached) ;
h² = x² + y²
Put the values of x and y from the figure
h² = 15² + 4²
h² = 225 + 16
h² = 241
Take under root on both sides
h = √241
From the figure the value of sin∅ = 4/h
Put value of h
sin∅ = 4 / √241
The rate at which she is rising = verticle velocity
The rate at which she is rising = 30sin∅
Put the value of sign∅
The rate at which she is rising = (30 * 4) / √241
The rate at which she is rising = 7.73 ft/sec
The missing figure is attached.
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016 (part 1 of 2) 10.0 points
A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.1 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
017 (part 2 of 2) 10.0 points
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, find its final kinetic energy.
Answer in units of J.
No Rounding
(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.09.
(b) The final kinetic energy of the neutron is 3.82 x 10⁻¹³ J.
What is the final velocity of the atom?The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;
initial momentum of the neutron = final momentum of the atom
m₁u₁ = m₂u₂
where;
m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleus u₂ is the final velocity of the atomic nucleusThe mass of the atomic nucleus = 11.1 m₁
u₂ = m₁u₁ / m₂
u₂ = m₁u₁ / (11.1 m₁)
u₂ = 0.09u₁
The initial kinetic energy of the neutron is calculated as;
K.Ei = ¹/₂m₁u₁²
The final kinetic energy of the atomic nucleus is calculated as;
K.Ef = ¹/₂m₂u₂²
K.Ef = ¹/₂(11.1 m₁)(0.09u₁)²
K.Ef = 0.09 (¹/₂m₁u₁²)
K.Ef = 0.09 (K.Ei)
The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;
= 0.09 (K.Ei) / K.Ei
= 0.09
= 9 %
The final kinetic energy of the neutron is calculated as follows;
K.E.f (neutron) = (1 - 0.09) x (4.2 x 10⁻¹³ J)
K.E.f (neutron) = 3.82 x 10⁻¹³ J
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FILL IN THE BLANK. the electric field inside the dome of a highly-charged van de graaff generator is _________.
The electric field inside the dome of a highly-charged van de graaff generator is ZERO.
Van de Graaff generators are electrostatic generators and partial accelerators that store direct current on a hollow sphere by creating a strong electric field. With a potential difference of up to 5 megavolts, it is a partial accelerator.
The dome of the Van de Graaff generator is a hollow spherical. The electric field within a hollow conductor will be zero in a charged state due to electrostatic shielding.The scenario is comparable to that of an electric field or a hollow conductor conveying current.There is no static energy in an uncharged state to create an electric field on the dome. It is because there could be a loss on the dome's surface.know more about electric field here
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calculate the magnitude of the electric field e = (-11i^+14j^)n/c.
The magnitude of the electric field is 17.80
We are given that,
e = (-11i^+14j^)n/c
x component = -11
y component = 14
To calculate the magnitude of the electric field we can use formula ,
e = √x² + y²
e = √-11² + 14²
e = √121 + 196
e = √317
e = 17.80
Therefore , the magnitude of the electric field would be 17.80.
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To test this hypothesis, you would change the and observe the in the system. Therefore, the independent variable would be the and the dependent variable would be the .
You would alter the separation width and track the system's diffraction angle to verify this theory. Therefore, the Gap Width is the variable and the Diffraction Angle would serve as the dependent variable.
What does a physics hypothesis look like?Salt will become more soluble as even the temperature rises. UV radiation exposure is associated to the risk of skin cancer. Many brands of light bulbs have the same lifespan. Cats don't care what color their cat chow is.
What makes a strong thesis statement?A great hypothesis statement includes a prediction, is unambiguous and testable. While "testable" denotes verifiability or falsifiability, it also implies that you may conduct the required tests without going against any ethical norms.
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The complete question is-
The goal of this experiment was to answer the question, "How does diffraction occur?" Suppose you formulated this alternate hypothesis:
If the gap width is increased while keeping wavelength constant, then the observed diffraction will decrease because the less the ratio between wavelength and gap width is, the smaller the observed diffraction angle will be.
To test this hypothesis, you would change the and observe the in the system.
Therefore, the independent variable would be the and the dependent variable would be the .
1. is gap width
2. is diffraction angle
3. is gap width
4. is diffraction angle
Explanation:
describe how the electrostatic force between two charges changes when the distance between those two charges is tripled
The square of the separation distance is inversely correlated with the electrostatic force. F is therefore nine times smaller, or one-ninth the original value, if d is three times larger.
Coulomb's Law states that the force exerted between two charged objects is inversely related to their square of distance. As a result, if the distance is tripled, the force will be nine times weaker. The force between two charges is inversely proportional to the square of the distance between them and directly proportional to the product of the charges. The force between the two charges will therefore treble if the charge on q1 is tripled while the other charge and distance remain constant.
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what is the de broglie wavelenghth and speed of an electron accelerated by a potential difference of 250v?
The de Broglie wavelength and speed of an electron accelerated is 0.1896nm.
1/2 m[tex]v^{2}[/tex] = K.E = ev
Charge on electron = 1.6 × [tex]10^{-19}[/tex]coulombs
Mass of electron = 9.1 × [tex]10^{-31}[/tex]Kg
1/2 × 9.1 × [tex]10^{-31}[/tex] × [tex]v^{2}[/tex] = 1.6 × [tex]10^{-19}[/tex] × 250
[tex]v^{2}[/tex] = [tex]\sqrt{0.02552}[/tex]
v = 2.125 × [tex]10^{6}[/tex]
λ = h/mv = 0.1896nm.
A subatomic particle having a negative one elementary electric charge is known as an electron (e or ). Due to their lack of known components or substructure, electrons, which are part of the lepton particle family's first generation, are typically considered to be elementary particles. [1] The mass of an electron is roughly equivalent to that of a proton (1/1836). [15] The electron's inherent angular momentum (spin), which is measured in terms of the scaled-down Planck constant,, is one of its quantum mechanical properties. The Pauli exclusion principle states that because electrons are fermions, no two of them may be in the same quantum state. [14] Like all elementary particles, electrons possess characteristics of both waves and particles. They can collide with other particles and undergo light-like diffractive bending. The electron wave characteristics are simpler.
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1. What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?2. What is Fbc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?.3. What is Fnet,y, the y-component of the net force exerted by the infinite wire on the loop?
The Fad,x, the x-component of the force exerted by the infinite wire on segment AD of the loop is 2.39 X 10⁻⁸ N. The Fbc,x, the x-component of the force exerted by the infinite wire on segment BC of the loop is 9.56 X 10⁻⁹ N. The Fnet,y, the y-component of the net force exerted by the infinite wire on the loop is zero.
1. The Fad,x, the x-component of the force exerted by the infinite wire on segment AD of the loop =
= Fad,x = u₀i₁i₂H / (2πL)
= Fad, x = [ (4π X 10⁻⁷)(0.672)(0.256) X (0.25) ] /2π X 0.36
= Fad,x= 2.39 X 10⁻⁸ N
2. The Fbc,x, the x-component of the force exerted by the infinite wire on segment BC of the loop =
= Fbc,x = u₀i₁i₂H / (2π) X (L+W)
= Fbc,x = (4π X 10⁻⁷)(0.672)(0.256)((0.25)/2π X (0.36+0.54)
= Fbc,x = 9.56 X 10⁻⁹ N
3. The Fnet,y, the y-component of the net force exerted by the infinite wire on the loop =
= Fnet,y = 0, since force acting on perpendicular wire is zero.
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a mass on a spring in shm has amplitude a and period t. what is the total distance traveled by the mass after a time interval t?
The displacement is zero because the mass's starting and final positions are identical (it returns to its initial position).
What is amplitude example?It alludes to the greatest departure from equilibrium that such an object in harmonic oscillator can exhibit. As an illustration, consider how a pendulum moves through its market equilibrium (straight down) and then moves outward to its maximum distance.
Do you mean height by amplitude?The vertical separation of both the wave from average is measured by amplitude. The wave axis, which is typically thought of as zero, is the average size of the wave across one cycle. Positive and negative numbers are assigned to heights between and above the average, accordingly.
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016 (part 1 of 2) 10.0 points
A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.1 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
017 (part 2 of 2) 10.0 points
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, find its final kinetic energy.
Answer in units of J.
No Rounding
The fraction of the neutron's kinetic energy transferred to the atomic nucleus is 2.05
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, its final kinetic energy will be 2.50 joules
What is kinetic energy?kinetic energy of an object is described as the energy that it possesses due to its motion which is also the work needed to accelerate a body of a given mass from rest to its stated velocity.
In elastic head-on collision, the energy of the system and total momentum is conserved.
For the neutron,
m - mass
Vi - initial velocity
Vf - final velocity
For the atom ,
M- mass
Mi - initial velocity
Mf - final velocity
Conserved momentum on the head-on collision
mvi = mvf + MVF
vi - vf = MmVf
Vi- vf = 11.1 vf...... (i)
The kinetic energy is
Vi²- vf² = 11.1 v²f.......(ii)
Combining both equations
Vi + Vf = Vf
Solve equation (I) and (III) for Vi
vi = 5.4vf
Now, the fraction of the neutron's kinetic energy transferred to the atomic nucleus,
1/2 mv²f/ 1/2 mv²i = 11.1/ 5.4
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, its final kinetic energy will be 2.50 joules
Hence, we can conclude that the fraction of the neutron's kinetic energy transferred to the atomic nucleus is 2.05
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water weighs about 10 n per liter on earth. a 4.0 liter ball is pushed underwater on the space shuttle, where gravity was 1/10 that on earth. what is the buoyant force on the ball?
the buoyant force on the ball is 4 N
buoyant force formula,
Fb=-ρgV
To calculate the buoyant force, the formula can be used: Fb=ρVg Fb = ρVg where Fb is the buoyant force in Newtons, ρ is the density of the liquid in kilograms per cubic meter, and V is the displaced volume of liquid in cubic metres. ), g is the gravitational acceleration
Buoyancy is the upward force on an object that is wholly or partially immersed in liquid. This upward force is also called thrust. Buoyancy causes a body that is wholly or partially immersed in liquid to appear weighed down. H. Easier
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lisa exposes an iron paper clip to a very strong magnet. she is now able to pick up other paper clips using her newly magnetized clip. what happens within the paper clip in order for it to become magnetized?
Lisa can now pick up other paper clips with her freshly magnetized clip after exposing an iron paper clip to a very powerful magnet, which aligns the magnetic domains within the clip.
When a small portion of the iron filings comes into contact with the poles, which are the ends of the magnet, all of the filings are drawn to them. An opposite pole and a similar pole make up a magnet's two poles. While similar poles repel, opposite poles attract. The magnetic force between two magnets increases as the distance between them decreases.
There are three different types of magnets, Permanent magnet, Temporary magnet ,Electromagnets.
When ferromagnetic substances like iron and nickel are exposed to a magnetic field, magnets are produced. When heated to a certain temperature, metals acquire permanent magnetic properties.
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some people with turner syndrome are 45,x/46,xy mosaics. how could this mosaicism arise?
This mosaicism in Turner's syndrome develops as a result of some cells in an XY embryo rapidly losing a Y chromosome after fertilization.
The zygote will have karyotype 44+XY if the sperm contains a Y chromosome. A gamete with the X chromosome will be produced by a mother. The resulting embryo would be a 44+XY (total 46 chromosomes). This zygote begins to divide its cells, but if the embryo's cells somehow lose the Y chromosome, the karyotype will change to 44+X0 (totaling 45 chromosomes, which is the Turner's syndrome disease).
Thus, certain cells that were originally destined to create an XY embryo with 46 chromosomes now have 45 chromosomes and the Turner's syndrome X0 condition.
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would the magnitude of the acceleration due to gravity near earth's surface increase more if earth's mass were doubled and
Yes, the magnitude of the acceleration due to gravity near Earth surface increases more if Earth's mass were doubled.
The magnitude of the acceleration due to gravity on the surface of the Earth is given by the relation,
g = GM/r²
Where,
G is the universal gravitational constant,
M the mass of the earth and,
R is the radius of the earth.
Now if the radius of the earth is kept constant and mass of the earth is doubled.
The value of the new acceleration due to gravity will become,
g' = G2M/r²
Putting GM/r² = g,
g' = 2g
So, we can see that the new acceleration due to gravity because of the increase in the mass of the earth is two times of the earlier acceleration due to gravity.
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rank the light intensity, from largest to smallest, at the point p in the figures.
The light intensity from largest to smallest ranking will be :B > D > A=C > E. where the area is measured on the plane perpendicular to the direction .
In physics, the intensity is the amount of energy that is transmitted per unit area, and the area is measured on a plane perpendicular to the direction that the energy equation will propagate. I = P/ 4(d2), with P denoting power. Let power of 1 bulb equal = P where I = intensity, d = distance at which the intensity must be determined.
case A = I = P / (1) (1) 1 = P case with 2 = P In the situation B = I = 2P/(0.5)2 = 8P C = I = 4P / (2) (2) ^2 = P case Case (1)2 = 3P: D = I = 3P E = I = 2P /(1.5) (1.5) ^2 = 0.8 P
B > D > A=C > E will be the order of light intensity, from greatest to least.
rank the light intensity, from largest to smallest, at the point p in the figures?
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a 57kg woman is in an elevator accelerating upward at 1.25m/s what is the normal force acting on her?
Answer: Fn = 630 N
Explanation:
ΣFy = Fn - mg = ma (The sum of the forces in the y-direction must equal mass * acceleration in the y direction)
Fn = mg + ma
Fn = m(g + a)
Fn = (57 kg)(9.8 m/s^2 + 1.25 m/s^2)
Fn = 630 N
ocko the clown (who has a mass of 60 kg) is standing still at the center of the ice rink when his rival bozo throws a 7 kg bowling ball in his direction at 10 m/s. assuming jocko catches the ball, how much energy is lost in the collision?
Assuming Jocko the clown (mass of 60kg) catches the 7kg bowling ball, which thrown into his direction at 10m/s, the energy that will lost in the collision is 313J (based on Conservation of momentum).
How to calculate the energy that will lost in collision based on conservation of momentum?Conservation of momentum is a major law of physics which states that the momentum of a system is constant if no external forces are acting on the system.
Based from the question given :
m₁ (mass of jocko) = 60kg
v₁ (initial speed of jocko) = 0 m/s
m₂ (mass of bowling ball) = 7kg
v₂ (initial speed of bowling ball) = 10 m/s
Now let's use the conservation of momentum formula
m₁ * v₁ + m₂ * v₂ = (m₁ + m₂) * V
60 * 0 + 7 * 10 = (60 + 7) * V
V = 70 / 67 m/s
Energy lost = Kinetic energy initial (bowling ball) - Kinetic energy final
= 1/2 * m₂ * v₂² - 1/2 (m₁ + m₂) * V²
= 1/2 * ((7 * 10²) - (67 * (70/67)²))
= 1/2 * 626.86
= 313.43J
=313J (rounded)
Therefore, energy that lost in the collision is 313J.
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A superball with mass m equal to 50 grams is dropped from a height of hi = 1.5 m. It collides with a table, then bounces up to a height of hf = 1.0 m. The duration of the collision (the time during which the superball is in contact with the table) is tc = 15 ms. In this problem, take the positive y direction to be upward, and use g = 9.8 m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance. Part A: Find the y component of the momentum of the ball immediately before the collision. Part B: Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table. Part C: Find the y component of the impulse imparted to the ball during the collision. Part D: Find the y component of the time-averaged force Favg, in newtons, that the table exerts on the ball. Part E: Find Kafter-Kbefore, the change in the kinetic energy of the ball during the collision, in joules.
The different component of the momentum of the ball is as bellow,
As per the details share in the above question are s bellow,
The mass of the super ball m is =50gm
The super ball drop from the height of = 1.5 m
Consider the ball's speed be v right before it hits the table.
Decrease of Potential Energy = Increase of Kinetic Energy
=> m x 9.8 x 1.5 = [tex]0.5 m v^{2}[/tex]
=> Therefore velocity = 5.42 m/s (- y direction)
A) Prior to a collision, the momentum component Y = mv
= - 0.05 x 5.42 = - 0.271 kg m/s
Consider the ball's speed be u right before it hits the table.
Increase of PE = Decrease of KE
=> m x 9.8 x 1 = [tex]0.5 m u^{2}[/tex]
=> u = 4.427 m/s (+ y direction)
B) Following the impact, the ball's Y contribution of momentum = mu
= 0.05 x 4.427 = 0.221 kg m/s
C) Now when Impulse imparted,
Consider Jy = change in momentum
= 0.221 - (-0.271) = 0.492 kg m/s
D) The ball time of contact is = 15 ms
Force = change inimpulse / time
= 0.492/0.015 = 32.82 N
E) change in Kinetic energy during collision
= KE after - KE before
[tex]= 0.5 \times 0.05 \times 4.427^{2} - 0.5\times0.05\times5.42^{2}[/tex]
= - 0.24445 J
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Note: The correct correct question would be as bellow,
As shown in the figure (Figure 1) , a superball with mass m equal to 50 grams is dropped from a height of hi=1.5m . It collides with a table, then bounces up to a height of hf=1.0m . The duration of the collision (the time during which the superball is in contact with the table) is tc=15ms . In this problem, take the positive y direction to be upward, and use g=9.8m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance.
A) Find the y component of the momentum Pbefore,y of the ball immediately before the collision (in kg x m/s)
B) Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table (in kg x m/s)
C) Find Jy, the component of the impulse imparted to the ball during collision (in kg x m/s)
D) Find the y component of the time-averaged force Favg,y in Newtons, that the table exerts on the ball
E)Find Kafter - Kbefore, the change in the kinetic energy of the ball during the collision, in Joules.