The mural paintings at Dura-europos suggested narrative scenes were part of the component of the decoration of many late antique synagogues in this type of context.
What is Mural painting?This refers to a type of graphic work which is usually done on walls, ceilings etc. This is usually done by a professional known as a painter and uses different techniques to get the right shades and shape.
This type of painting was used at Dura-europos in which different narrative scenes served as a component for the many late antique synagogues in this aspect and context of artwork present during that period of time.
This therefore makes narrative scenes the most appropriate choice.
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Calculate the energy of the red light emitted by a neon atom with a wavelength of 703. 2 nm. plank's constant (h) = 6. 62607 × 10-34 j. s
The energy of the red light emitted by a neon atom is 2.827*10^-19J
Light produces photons which might be small packets of power. as the atoms of an object are heated, it results within the manufacturing of photons. The electrons locate pleasure from the warmth and produce extra energy. This power emits inside the shape of a photon, and extra photons are released because the cloth becomes hotter.
The SI unit of wavelength is metre typically denoted as m. at the same time as measuring wavelength the multiples or fractions of a metre is also used. extensively, exponential powers of 10 are used while wavelengths are of a huge property. while there are shorter wavelengths they're expressed as negative exponential.
c=3*10^8 h=6.626*10^-34
wavelength= 703.2*10^-9m
E=2.827*10^-19J
Hence energy of the red light is 2.827*10^-19J.
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What is the maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling?
The maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling 50 pound.
A luminaire that weighs more than 23 kg (50 lb) shall be supported independently of the outlet box, unless the outlet box is listed for not less than the weight to be supported.
Luminaire, or light fixture, complete lighting unit, consisting of one or more lamps (bulbs or tubes that emit light), along with the socket and other parts that hold the lamp in place and protect it, wiring that connects the lamp to a power source, and a reflector that helps direct and distribute the light.
Fluorescent fixtures usually have lenses or louvers to shield the lamp (thus reducing glare) and redirect the light emitted. Luminaires include both portable and ceiling- or wall-mounted fixtures.
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When a 20. 0-ohm resistor is connected across the terminals of a 12. 0-v battery, the terminal voltage of the battery falls 0. 30 v. what is the internal resistance of this battery
Answer:
.513 Ω
Explanation:
The current through the 20 Ω load can be found to be
(12-.3) v / 20 Ω = .585 A
This current also flows through the internal resistance and produces the .3 v drop across this resistor
V/I = R
.3 v / .585 A = .513 Ω internal resistance
Select the correct answer. jay bought a toy car. to make the car move, he must turn a key attached to a spring. turning the key winds the spring tight. the toy car moves when the key is released and the spring unwinds. what’s the main transformation of energy in this example? a silver color kids pedal car with a key to run it a. chemical energy to electric energy b. chemical energy to motion energy c. electric energy to motion energy d. electric energy to potential energy e. potential energy to motion energy
The main transformation of energy is chemical energy to motion energy.
How does the chemical energy is converted to motion energy?
Jay's body converted chemical energy into mechanical energy to wind up the key. Mechanical energy in the key's winding was transformed into potential energy in the spring. The spring then strives to release itself, and as the toy car rolls forward, the potential energy is transformed into kinetic energy or motion energy.
What is chemical energy?
Chemical energy is the energy that is released when chemical substances engage in a chemical reaction and change into other substances.
What is potential energy?Potential energy is the power that an object can store as a result of its position in relation to other objects, internal tensions, electric charge, or other circumstances.
What is kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
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Hope this is correct.
A mass weighing 16 pounds is attached to a spring whose spring constant is 25 lb/ft. what is the period of simple harmonic motion?
The time period of the spring - mass system undergoing simple harmonic motion is 5.024 seconds.
We have a mass weighing 16 pounds which is attached to a spring whose spring constant is 25 lb/ft . This complete spring - mass system is undergoing simple harmonic motion.
We have to calculate the time period of this simple harmonic motion.
What is the formula to calculate the Time period of a spring - mass system performing Simple harmonic motion?The formula to calculate the time period of a spring - mass system undergoing simple harmonic motion is -
[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex]
Where -
T is the time period of spring - mass simple harmonic motion.
m is the mass of body
k is the spring constant
In the question given -
mass (m) = 16 pounds
Spring constant (k) = 25 lb/ft
Substituting the values in the formula above -
T = [tex]2\pi \sqrt{\frac{16}{25} }[/tex] = [tex]\frac{2\pi \times4}{5}[/tex] = 5.024 seconds
Hence, the time period of the spring - mass system undergoing simple harmonic motion is 5.024 seconds.
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At a speed of 0. 93 ccc, a spaceship travels to a star that is 8. 5 lyly distant. part a according to a scientist on earth, how long does the trip take?
At a speed of 0. 93 ccc, a spaceship travels to a star that is 8. 5 ly distant part and according to a scientist on earth 2.3 years the trip takes.
Spacecraft
A spacecraft is a vehicle or machine designed to fly in outer space. A type of artificial satellite, spacecraft are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and transportation of humans and cargo.
Satellites, rovers, and space stations are collectively referred to as spacecraft. In science fiction, a big, manned spacecraft that is not a satellite is commonly referred to as a spaceship.
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If we want to build a telescope that detects radio waves, we must build it with a very large dish since radio waves have very large wavelengths,
a) true
b) false
Building a telescope that detects radio waves must be built with a very large dish since radio waves have very large wavelengths is regarded as a true statement and is denoted as option A.
What is Wavelength?This is defined as the distance between two successive crests or troughs of a wave.
Radio waves have the longest wavelength in the electromagnetic spectrum which is therefore the reason why a very large dish is built to detect it.
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Suppose a comet orbits the sun on a highly eccentric orbit with an average (semimajor axis) distance of 1 au. how long does it take to complete each orbit, and how do we know?
If a comet were to orbit the sun with a highly eccentric orbit and an average (semimajor axis) distance of 1 au, we might use Kepler's third law of planetary motion to determine that each orbit would take one year to complete.
To find the answer, we need to know about the Kepler's third law of planetary motion.
What is Kepler's third law of planetary motion?The period of a planet's orbit (T) squared is equal to the size of the semi-major axis of the orbit (a) cubed when it is stated in astronomical units because T² ∝ a³ according to Kepler's Third Law. In reality, Kepler's Third Law compares a planet's orbital period and radius to those of other planets.Thus,[tex]a=1AU\\T=(1)^{3/2}=1 year[/tex]
Thus, we can conclude that, If a comet were to orbit the sun with a highly eccentric orbit and an average (semimajor axis) distance of 1 au, we might use Kepler's third law of planetary motion to determine that each orbit would take one year to complete.
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A 2-f and a 1-f capacitor are connected in series and a voltage is applied across the combination. the 2-f capacitor has:_______.
Half the potential difference of the the1-µF
A circuit must have a capacitance of 2 F across a 1 kV potential difference for an electrical technician. He has access to a sizable number of 1F capacitors, each of which can sustain a potential difference of no more than 400 V. Please suggest a configuration that uses the fewest capacitors possible.
The 2-mu F capacitor has the following characteristics: none of the aforementioned; half the charge of the 1-mu F capacitor; twice the charge of the 1-mu F capacitor; and half the potential difference of the 1-mu F capacitor.
Q = C V, C = Capacitance of the capacitor gives the charge stored by a capacitor with an applied voltage V. V is the applied voltage.
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Half the potential difference of the 1μf capacitor.
Charge: Q = CV where C is the capacitance in Farads, V is the voltage across the capacitor in Volts and Q is the charge measured in coulombs (C).
Energy stored: W = ½ QV = ½ CV×V
where W is the energy measured in Joules.
As the capacitance of a capacitor is equal to the ratio of the stored charge to the potential difference across its plates, giving: C = Q/V, thus V = Q/C as Q is constant across all series connected capacitors, therefore the individual voltage drops across each capacitor is determined by its its capacitance value.
When the capacitors are connected in the form of series combination, the capacitance in total is less than the individual capacitances of the series capacitors. If one, two or number of capacitors are connected in the series form, the overall effect is the single or equivalent capacitor which has the total sum of the spacings between the plates of the individual capacitors. The increase in the plate spacing results in the decreased capacitance, with all the other factors remaining unchanged.
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The reason the position of a particle cannot be specified with infinite precision is the?
The reason the position of a particle cannot be specified with infinite precision is the uncertainty principle .
The position of a particle moving in a straight line is a vector which represents a point P on the line in relation to the origin O. The position of a particle is often thought of as a function of time, and we write x(t) for the position of the particle at time t.
The Heisenberg uncertainty principle is a law in quantum mechanics that limits how accurately you can measure two related variables. Specifically, it says that the more accurately you measure the momentum (or velocity) of a particle, the less accurately you can know its position, and vice versa.
The uncertainty principle (for position and momentum) states that one cannot assign exact simultaneous values to the position and momentum of a physical system. Rather, these quantities can only be determined with some characteristic “uncertainties” that cannot become arbitrarily small simultaneously
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Read the scenario below and answer the question that follows. susan was in her algebra class preparing to take a test. her instructor, mrs. williams, tells susan, "try hard, even though math can be difficult for women to succeed in." what is the most likely effect of mrs. williams’ comment on susan’s test performance, and why? a. improved performance due to study behavior b. improved performance due to mores c. reduced performance due to stereotype threat d. reduced performance due to cultural shaping please select the best answer from the choices provided a b c d
The correct option is (c) reduced performance due to stereotype threat.
What is a culture of learning?
A culture of learning, or learning culture, is one in which employees continuously seek, share, and apply new knowledge and skills to improve individual and organizational performance.
How does culture affect learning?
Through the rewards and penalties it administers for each distinct conduct, a culture establishes context for behavior. Cultures reinforce appropriate behavior and deter inappropriate behavior via influencing behavior.Why is culture important in learning?
Students learn more deeply about the subject matter when working and learning in a classroom with people from different origins and cultures. Additionally, it teaches students how to participate in a diverse workplace using their unique skills and perspectives.Learn more about culture of learning
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Explain the relation between Joule and Erg.
Answer:
Both erg and Joule are units of Energy in the CGS and S.I system respectively.
Joule and erg can also be written as (kg m2/s2) and (g cm2/s2) respectively.
Explanation:
1 Joule = 107 erg ⇒ 107 kg m2/s2.
==> One erg of energy is the amount of work done when one dyne of force acts through a distance of one centimeter.
==> One Joule of energy is the amount of work done when one Newton of force (100,000 dynes) acts through a distance of one meter (100 centimeters).
==> That makes one Joule the same amount of energy as 10 million (10⁷) dynes.
A 4. 0 g sample of ra-226 decays to 1. 0 g. if the half-life of ra-226 is 1620 years, how much time has elapsed?
The time elapsed is 3229.2 days.
First-order reactions include those in radioactive decay. The reduction in radioactive nuclei per unit of time is the rate of decay, or activity, of a sample of a radioactive substance.
The Radioactive Formula is given by
[tex]N =[/tex] N₀ [tex](\frac{1}{2} )^\frac{t}{T}[/tex]
Where N₀ = The initial quantity of the substance.
N = The quantity remained.
T = the half-life of the decaying quantity.
t = time elapsed
The initial quantity of the substance = 4.0 g
The quantity remained = 1.0 g
The half-life of the decaying quantity = 1620 years
Using formula;
[tex]1.0 = 4.0 (\frac{1}{2} )^\frac{t}{1620} \\[/tex]
[tex]log \frac{1.0}{4.0} = \frac{1}{1620} log \frac{1}{2}\\[/tex]
[tex]log 0.25 = \frac{t}{1620} log 0.5\\[/tex]
[tex]-0.60 = \frac{t}{1620} (-0.301)\\[/tex]
[tex]t = \frac{972}{0.301} \\[/tex]
[tex]t= 3229.2 sec[/tex]
Therefore, the time elapsed is 3229.2 days
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1. The weight of body in air is 20N displaced 5N when emerged into water. The mass of body in water is ??
Answer:
5 N
Explanation:
Archimedes' principle indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.
In this case, The weight of an object in air is 20N and it weighs x N when fully immersed in water. So, the weight of the water displaced is given as;
20 − x = 5
Therefore, the weight of the body in water is 5 N.
explain how potential and kinetic energy are at play when we talk about Newton's second law of motion
Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.
What is Newton's second law of motion?This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.
Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.
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What's the largest number of beats per second that will be heard from which pair of tuning forks?
The largest number of beats per second that will be heard from 763 and 774 Hz pair of tuning fork .
The beat frequency is equal to the complete value of the alteration in the frequency of the two waves. The count of beats per second is equivalent to the difference in frequencies of two waves is called beat frequency.
A tuning fork is a two-pronged metal fork that can be used as an acoustic resonator. Traditionally, this tool has been used to tune musical instruments. Tuning forks work by releasing a perfect wave pattern to match a musician's instrument.
The largest number of beats per second that will be heard from 763 and 774 Hz pair of tuning fork .
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Which pairs of subsets of the real number system have no common elements?
Answer:
Odd and even
Explanation:
Odd and even numbers have no common elements
A heater marked 2000W/3000W is switched on for 4 hours. For the first hour it is on the highest setting and for the last 3 hours it is on the lowest setting
1.1 How much energy does it transfer to the room in kWh (9kWh)
Answer:
9 kW-hr
Explanation:
3000 W = 3 kW for 1 hr = 3 kW - hr
2000 W = 2 kW for 3 hr = 6 kW -hr
total power = 3 + 6 = 9 kW-hr
Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of the transition into water?.
It does not deflect, the light's direction will not change
When a light ray is incident from a medium such as air onto a more dense medium such as glass or water, the refracted ray always lies closer to the perpendicular than does the incident ray.
What happen when light ray passes from one medium to another ?Refraction occurs when light travels from one medium to another which changes the speed at which the light travels. This causes light to bend upon incidence with the interface of a new material.
The frequency of the light ray remains same when it travels from one medium to another because it depends on the source of light. But the wavelength and speed vary because they depend on the medium through which the light passes.Learn more about Light ray here:
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Find the average value have of the function h on the given interval. h(u) = (ln(u))/u, [1, 5]
The average value have of the function h on the given interval is [tex]\frac{1}{2} \ln^2 (2)[/tex].
How to find the Average Value of function ?The given function is [tex]h (u) = \frac{\ln (u)}{u}[/tex] on the interval (1, 5).
The average value of function (a, b) is found by using the formula:
[tex]\frac{1}{(b -a)} \displaystyle \int^{b}_{a} f(x) dx[/tex]
Here the function is [tex]h (u) = \frac{\ln (u)}{u}[/tex] and a = 1, b = 5
Now,
[tex]\dfrac{1}{(5 - 1)} \displaystyle \int^{5}_{1} \frac{\ln (u)}{u}\ du[/tex]
[tex]= \dfrac{1}{4} \displaystyle \int^{5}_{1} \frac{\ln (u)}{u}\ du[/tex]
Substitute [tex]\ln (u) = t, dt = \frac{1}{u}\ du[/tex]
[tex]\dfrac{1}{4} \displaystyle \int^{4}_{1} \frac{\ln (u)}{u} du = \frac{1}{4} \int^{4}_{1} t (dt)[/tex]
[tex]= \frac{1}{4} \left [\frac{t^2}{2} \right ]^{4}_{1}[/tex]
[tex]= \frac{1}{8} \left [\{\ln (u)\}^2 \right ]^{4}_{1}[/tex]
[tex]= \frac{1}{8} [\{\ln (4) \}^2 - \{\ln (1) \}^2 ][/tex]
[tex]= \frac{1}{8} [\{\ln (4)\}^2 - 0][/tex]
[tex]= \frac{1}{8} \ln^2 (4)[/tex]
[tex]= \frac{2}{4} [2 \ln (2)]^2[/tex]
[tex]= \frac{1}{2} \ln^2 (2)[/tex]
Thus from the above conclusion we can say that The average value have of the function h on the given interval is [tex]\frac{1}{2} \ln^2 (2)[/tex].
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What feature of the solar system separates the terrestrial planets from the jovian planets?
Jovian Planets have low density and no Earth like things, like the terrestrial planets.
All of the planets in our solar system,except Pluto—are categorized as either terrestrial (like Earth) or jovian (like Jupiter) planets
Terrestrial planets:
The planets Mercury, Venus, Earth, and Mars are all terrestrial. These planets are both physically and mass-wise quite small. A terrestrial planet has a dense interior of metals and a stable rocky surface. These planets are warmer than planets farther from the sun because they are closer to the sun in the solar system.Jovian planets:
Saturn, Uranus, Neptune, and Jupiter are examples of jovian planets. These planets are bigger and heavier. The surfaces of Jovian planets are not solid. Due to their size and composition, which is primarily gases, they are sometimes referred to as gas giants. Only in the deepest regions of the Jovian planets' cores can one find trace amounts of rocky elements. Jovian planets are cooler because they are farther from the sun than terrestrial planets in the solar system.Learn more about the Solar system with the help of the given link:
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A red wagon with a mass of 7kg is moving with a velocity of 4 m/s straight toward a blue wagon at rest.
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
Apply the Conservation of Linear Momentum:
[tex]\longrightarrow \sf{m_1 u_1 +1 + m_2 u_2 = m_1v_1 + m_2v_2}[/tex]
[tex]\longrightarrow \sf{(7 \cdot 4) + (1 \cdot 0) = (7 \cdot 3) + 1v_2}[/tex]
Solving further:
[tex]\longrightarrow \sf{28+0 = 21+ v_2}[/tex]
[tex]\longrightarrow \sf{28 = 21+ v_2}[/tex]
[tex]\longrightarrow \sf{v_2= 28- 21}[/tex]
▪ [tex]\longrightarrow \sf{v_2= 7 \dfrac{m}{s} }[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex] \boxed{\bm{v_2= 7 \dfrac{m}{s}}}[/tex]
If a total force exerted by water in a container with a bottom area of 3 square meters is 900 newtons, what's the water pressure at the bottom of the container?
Answer:
300 Pa
Explanation:
P=F/A
= 900/3
= 300 Pa
A 1. 30 kg block slides with a speed of 0. 855 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 552 n/m. The block comes to rest after compressing the spring 4. 15 cm. Part a. Find the spring potential energy, u , the kinetic energy of the block, k , and the total mechanical energy of the system, e , for compressions of 0 cm. Part b. Find the spring potential energy, u , the kinetic energy of the block, k , and the total mechanical energy of the system, e , for compressions of 1. 00 cm. Part c. Find the spring potential energy, u , the kinetic energy of the block, k , and the total mechanical energy of the system, e , for compressions of.
a) For 0 compressions:
potential energy = U = 0 J
kinetic energy = k = 0.383 J
total mechanical energy = E = 0.383 J
b) For compression of 1 cm:
potential energy = U = 0.0228 J
kinetic energy = k = 0.155 J
total mechanical energy = E = 0.383 J
c) For compression of 2 cm :
potential energy = U = 0.1104 J
kinetic energy = k = 0.272 J
total mechanical energy = E = 0.383 J
d) For compression of 3cm:
potential energy = U = 0.248 J
kinetic energy = k = 0.177 J
total mechanical energy = E = 0.383 J
Method for solving:The equations for kinetic energy is:
k= 1/2*m*[tex]v^{2}[/tex]
The equation for elastic potential energy is:
U= 1/2*ks*[tex]x^{2}[/tex]
Where,
m= mass of the block
v= velocity
ks= spring constant
x= displacement of the spring
(a)when compression= 0 cm
U= 1/2*ks*[tex]v{2}[/tex]
U= 1/2*552*[tex](0)^{2}[/tex]
= 0 J
Kinetic energy:
k= 1/2*m*[tex]x^{2}[/tex]
k= 1/2*(1.05)*[tex](0.855)^{2}[/tex]
k= 0.383 J
Mechanical energy:
E= k + U
E= 0.383+0
E= 0.383 J
There will be no work done by friction or any other dissipative force, hence this energy will be conserved, or it will remain constant (like air resistance). This indicates that only spring potential energy will be created from the kinetic energy (there is no thermal energy due to friction, for example).
(b) spring potential = ?
U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]
U= 0.0228 J
Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:
E= k + U
0.383= k + 0.0228
k= 0.383 - 0.228
k= 0.155
(c)spring constant when x= 0.02
U= 1/2*552*[tex](0.02)^{2}[/tex]
U= 0.1104 J
Using the equation of mechanical energy:
E= k +U
0.383= k+ 0.1104
k= 0.383 - 0.1104
k= 0.272 J
(d) U= 1/2*552*[tex](0.03)^{2}[/tex]
U= 0.2484 J
E= 0.383 J
k = E - U
k= 0.383- 0.206
k= 0.177
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Consider the 5-bit generator, g=10011, and suppose that d has the value 1010101110. what is the value of r? show all the steps including the checking at the receiver
Consider the 5-bit generator, g=10011, and suppose that d has the value 1010101110. Then the value of r is 0100.
We obtain 1011011100 when we divide 10011 by 1010101010 0000, with a remainder of R=0100 in 5-bit generator
A generator converts mechanical energy into electrical energy. When you are not linked to the power grid, it supplies electricity to your devices and appliances. Generators are critical safety equipment during natural disasters like hurricanes and snowstorms, as well as any power outage.
It operates on the principle of the faraday law of electromagnetic induction. According to the faradays law, whenever a conductor is placed in a fluctuating magnetic field, EMF is induced and thus induced. A standby generator can power a medium-sized home for up to 3,000 hours on average, while it is not suggested that you run a generator for more than 500 hours continually. Although both EMF and terminal potential difference (V) are measured in volts, they are not the same thing.
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A particle moving at speed 0. 32 c has momentum p0. the speed of the particle is increased to 0. 72 c. what is its momentum now?
A particle moving at speed 0.32 c has momentum P₀. the speed of the particle is increased to 0.72 c then its momentum would be 2.25P₀.
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
Mathematically the formula of the momentum is
P = mv
where P is the momentum of the particle
m is the mass of the particle
v is the velocity by which the particle is moving
As given in the question a particle moving at speed 0.32 c has momentum P₀. the speed of the particle is increased to 0.72 c
by using the formula of the momentum and substituting the values of the velocity
P =mv
As mentioned in the question when the particle is moving with 0.32c velocity it has a momentum of P₀
P₀ = m*(0.32c)
If the speed of the particle is increased to 0.72 c the momentum would be
P=m*(0.72c)
by dividing the second equation from the first one
P₀/P = 0.32c/0.72c
P₀/P = 0.44
P =2.25P₀
Thus, the increased momentum of the particle would be 2.25P₀
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Which of the following are possible units for a spring constant? O A. J/m B. N/km O.C. cm/N O D. J/N
The answer is B.
We use the spring constant in Hooke's Law, which is : F = -kx
It can be rearranged so it is equal to the constant :
k = F ÷ x
Common units of Force (F) : N, kg m/s²
Common units of displacement (x) : cm, m, km
The dimensionally correct unit from the given options is :
⇒ N/km
Who rediscovered aristarchus’s model of a heliocentric solar system? copernicus galileo kepler ptolemy
Copernicus rediscovered aristarchus’s model of a heliocentric solar system.
Aristarchus asserted that one may determine the distances between the Sun and Moon by measuring the angle between them when the Moon is half-illuminated (admittedly, the illumination itself suggested the angle). Aristarchus recognised that the Moon does not emit light of its own, but rather shines as a result of the Sun's light.
It's because Polish-born astronomer Copernicus was responsible. He initially introduced the heliocentric hypothesis in his book De revolutionibus orbium coelestium, "On the Revolutions of Celestial Bodies," which was released in.
Therefore, Copernicus rediscovered aristarchus’s model of a heliocentric solar system.
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Answer:
Copernicus
Explanation:
A 1.4 kg bicycle tire with a radius of 33 cm rotates with an angular speed of 155 rpm. Find the angular momentum(L) of the tire, assuming it can be modeled as a hoop.
The angular momentum of the tire is 0.394KGm^2/s.
To find the answer, we have to know more about the angular momentum.
How to find the angular momentum?We have the expression for angular momentum as,[tex]L=mvr[/tex]
where, m is mass of th body, v is the linear velocity and r is the radius of the circular orbit.
It is given that,[tex]m=1.4kg\\r=33*10^{-2}m\\w=155rpm=2.58rps[/tex]
Thus, the linear velocity will be,[tex]v=rw=33*10^{-2}*2.58=0.85m/s[/tex]
Then, the angular momentum, L will be,[tex]L=mvr=1.4*0.85*33*10^{-2}=0.394Kgm^2/s[/tex]
Thus, we can conclude that, the angular momentum of the tire is 0.394KGm^2/s.
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A car travelling at 3.50 m/s [w] speeds up to 14.8 m/s [w] in 3.17 s. determine the acceleration of the car.
The acceleration of the car is 3.56 m/s².
What is acceleration?Rate of change of velocity with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Some characteristics of acceleration are-
Acceleration is a vector quantity since it has a both magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by that of the time interval is the definition of acceleration. The limit of both the ratio of the change in speed throughout a given interval of time approaches zero determines the instantaneous acceleration (at the specific time and location) ( Instantaneous rates of change). For instance, acceleration will be stated as metres per second if velocity is represented in meters per second.The formula for acceleration is;
[tex]\bar{a}=\frac{v-v_{0}}{t}=\frac{\Delta v}{\Delta t}[/tex]
[tex]\begin{aligned}&\bar{a}=\text { average acceleration } \\&v=\text { final velocity } \\&v_{0}=\text { starting velocity } \\&t=\text { elapsed time }\end{aligned}[/tex]
The starting velocity is 3.50 m/s
The final velocity is 14.8 m/s.
The elapsed time is 3.17 s.
Substitute all the values in the formula of acceleration;
[tex]\bar{a}=\frac{14.8-3.50}{3.17}\\\bar{a}=3.56[/tex]
Therefore, the acceleration of the car is 3.56 m/s².
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