A. The graph provided is a Displacement-Time Graph. The x-axis provides the displacement made by the object and the y-axis gives the time taken by the object to travel.
The amplitude of an object is defined as the maximum displacement made by the object. From the graph provided, the maximum displacement made by the object is 2cm.
Hence, as per the definition of Amplitude, the Amplitude of the object is 2cm.
The Amplitude of the object depends on the displacement made by the object. The maximum displacement is made when the object moves to an extreme position in an oscillation.
B. The object in a Simple Harmonic Motion moves from mean position to extreme positions. As the object moves from mean position to extreme position and reaches back to mean position, one oscillation or one cycle is said to be completed.
The graph represents the positive displacement when it moves to extreme position and the negative displacement as it returns from the extreme position.
The graph provided shows that for a complete one cycle or oscillation, the time taken is 4seconds.
Hence, as per the definition of Time period, the time period is 4 seconds. Therefore, the time period as ω = 2[tex]\pi[/tex]/T.
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if the force constant of the spring is 3000 n/m , her mass is 69 kg , and the amplitude of her oscillation is 1.9 cm , what is her maximum speed during the measurement?
The maximum speed of an astronaut is 12.5cm/s.
If, the astronaut uses body mass measurement device to measure her mass, then the speed can be calculated easily.
How to calculate speed of an astronaut in space?By differentiating angular frequency, and displacement of mass with respect to time, then speed can be calculated.
Calculation:We know,
Force constant of the spring, k = 3000 N/m
Mass of an astronaut, m = 69 kg
Amplitude of the oscillation, x max = 1.9cm = [1.9 cm]*[1 m/100 cm] = 0.019m
We need to find the vmax.
The angular frequency ω is given by,
ω = √[k/m]
The displacement of the mass m from the men position in case of simple harmonic motion is given by,
x = xmax*cos[ωt + φ]
Differentiating above relation with respect to time we get the velocity of the object at any time t during the motion.
v = -ω*xmax*sin[ωt + φ]
v = - vmax*sin[ωt + φ]
Here we have the velocity amplitude {maximum velocity} vmax given as
vmax = ω*xmax
vmax = √[k/m]*xmax
vmax = √[(3000 N/m)/(69kg )]*[0.019 m]
vmax = 0.125m/s
vmax = 12.5 cm/s
Hence the maximum speed of an astronaut is 12.5cm/s
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the temperature of a blackbody radiator is increased. what will happen to the most intense wavelength of light emitted as this increase occurs?
The wavelength of the most intense radiation will decrease.
What is wavelength ?
The distance between two successive crests or troughs of a wave is known as its wavelength. It is calculated using the wave's direction.
The temperature of a blackbody radiator is increased.
Most intense wavelength of light emitted as this increase occurs the wavelength of the most intense radiation will decrease
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(HELP PLEASE I DON'T HAVE MUCH TIME || BRAINLIEST + 100 POINTS)
This model represents light. What does this model show?
A. A single light wave traveling in a circle around a source
B. A single light wave traveling away from a source
C. Many light waves traveling in all directions from a source
D. Two light waves traveling perpendicular to a source
The model of the light wave shows many light waves traveling in all directions from a source.
option C is the correct answer.
What is the motion of waves?Wave motion is the transfer of energy and momentum from one point of the medium to another point of the medium without actual transport of matter between two points.
The following explanation illustrates how light waves can travel. Light propagates as electromagnetic waves. Light can travel in all all directions as light waves are spherical waves which travel radially outwards from its source.
From the given image we can conclude the following;
there are many light waves since there are many circular wave form producedall the light waves emanates from a sourceThus, it is safe to say that the model of light being represented shows many light waves travelling from a single to many direction due to presence of many circular wave path shown in the picture.
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a photographer uses his camera, whose lens has a 50 mm focal length, to focus on an object 1.5 m away. he then wants to take a picture of an object that is 30 cm away. how far
The distance the lens needed to be moved so that it can focus on the second object is 0.008 m.
From the question, it is said that focal length f = 50 mm = 50* 10⁻³ m
The lens equation is mathematically represented as
1/u + 1/v = 1/f
Given that, u = 1.5 m
1/1.5 + 1/v = 1/(50* 10⁻³)
1/v = 1/(50* 10⁻³) - 1/1.5
v = 0.052 m
Object distance u = 30 cm = 0.3 m
1/0.3 + 1/ v₁ = 1/(50* 10⁻³)
v₁ = 0.06 m
The distance the lens needed to be moved is evaluated as
z = | v - v₁ | = | 0.052 - 0.06 | = 0.008 m
The question is incomplete. The continuation of the question is 'how far must the lens move to focus on this second object?'
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An electric dipole with its center located at the origin of a Cartesian coordinate system oscillates along the x axis, creating an electromagnetic wave.
a. At a position on the z axis far from the origin, what is the polarization of the wave?
b. At a position on the axis far from the origin, what is the polarization of the wave?
The wave moves in a z-direction. Along the x-axis, there is linear polarization.
When a dipole oscillates, the two charges that make up the dipole move back and forth along the line connecting them, first getting closer and then getting further apart.If the electric field oscillates along the x-axis and the wave propagates along the z-axis, then when the charges oscillate they create a fluctuating wave that propagates in the opposite direction of the oscillation of the charges.As the electric field is directed from one charge to another in a dipole, it oscillates on the x-axis, and the polarization of the electric wave is also on the x-axis because of this. The polarization is linearly polarized along the x-axis and the wave propagates along the z-axis.
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Since the beginning of time some people have believe that the earth is flat beginning around 300 BC however some began to wonder if the earth is actually spherical in shape
Since the beginning of time, some people have believed that the earth is flat, then the example demonstrates that argumentation is a necessary part of scientific inquiry. Hence, option B is correct.
What is Earth?In terms of size and mass, Earth is the third planet from the Sun and the fifth-largest planetary in the solar system. The only site in the cosmos known to support life is in its close-surface conditions, which is its most notable characteristic. The emblem serves as a designation. The word "Earth" is derived from the Old English and Germanic meanings for "ground" and "earth," and it is the only title for a planet in our solar system that does not originate from Greco-Roman mythology. English is the world's most widely used astronomical language.
This reasoning is a crucial part of every scientific research since it offers a variety of hypotheses about the scientific concerns that must be supported. Among these hypotheses, only one provides a thorough explanation of the phenomenon.
As a result, it can be seen in the given question that ideas about the form of the earth over time have demonstrated that argumentation is a component of the scientific process.
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Your question is not complete, the complete might be like this:
Since the beginning of time, some people have believed that the Earth is flat. Beginning around 300 B.C., however, some began to wonder if the Earth is actually spherical in shape. Those that favored the flat Earth theory made the following observations: The Earth is stable because it is a flat landmass sandwiched between a flat layer of air and a flat layer of water. If the Earth is spherical, then oceans should be curved on top, but they aren't. Some rivers flow for hundreds of miles but only fall a few feet. The rivers should fall farther if the Earth is spherical. If the Earth is spherical, people and animals that inhabit the Earth would notice as they walked along its surface. Since mariners are able to use flat compasses to navigate their ships without crashing, the Earth must not be a sphere. Those that disputed the flat Earth theory countered the claim by observing that Christopher Columbus was able to sail around the Earth without falling off the edge and later, by presenting satellite imagery taken from space of a spherical Earth. This example demonstrates that
A. scientific knowledge is unattainable.
B. argumentation is a necessary part of scientific inquiry.
C. it is easy to resolve a scientific argument.
D. it is not possible to settle a dispute.
An unused flashbulb contains magnesium and oxygen. After use, the contents are changed to magnesium oxide but the total mass does not change. This observation can best be explained by the.
After the use the content of the unused flash bulb does not change although the contents are changed to magnesium oxide. This observation can be explained by the law of conservation of mass.
The chemical equation of the reaction of magnesium and oxygen to give magnesium oxide as product is,
2Mg + O₂ → 2MgO
As we can see from the above reaction, the total number of atoms on the product side are equal to the total number of atom on the react inside.
This observation can be explained by the law of conservation of mass because the mass on both side of the reaction are equal to each other.
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an anchor rope to anchor a ship to the pier is wrapped 2 full times around a support on the ship. a deck hand can keep the rope from slipping by applying a force of 100 n to the free end. what is the coefficient of friction between the rope and the support?
The coefficient of friction is 0.34
The rope is wrapped for 2 times so, Φ = 4π
From the Capstan's equation,
T(load) = T(hold)
7000 = e^u*4π
Taking the log of both sides,
u = log7000 / 100*4π
u = 0.338
The coefficient of friction is 0.34
Coefficient of friction :
The coefficient of friction, or, is a unit used to quantify friction between two surfaces. In comparison to when the coefficient of friction is high, a low value indicates that less effort is required to generate sliding. The friction coefficient is the ratio that is used to measure how much friction there is between two objects in comparison to the normal force holding them together. When choosing materials and determining the requirements for surfaces, the coefficient of friction is a crucial factor.
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an object with a mass m slides down a rough 37e inclined plane where the coefficient of kinetic friction is 0.20. what is the acceleration of the object?
The acceleration of the object is 9.307 m / s when the object of mass (m) slides down an inclined plane and the coefficient of kinetic friction is given.
What is the Coefficient of Kinetic friction?
The resistive force of friction (Fr), which pushes the items together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula represents it: fr = Fr/N.
Calculations:
angle θ = 37°
the coefficient of kinetic friction μ = 0.20
accleration a = g sin θ - μ g cos θ
= 5.897 - 1.5653
= 4.331 m / s²
(b). length L = 10 m
initial velocity u = 0
the speed at the bottom of the plane is v
then from the relation v² - u² = 2aL
v = √[ 2aL ]
= 9.307 m / s.
Hence, the acceleration of the object is 9.307 m / s.
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what event made it possible for photons to begin to travel freely through the universe when the universe was about 380,000 years old?
When the universe was about 380,000 years old universe had expanded and cooled enough for electrons to combine with nuclei to form neutral atoms.
As the universe cooled, conditions became simply proper to provide rise to the building blocks of matter – the quarks and electrons of which we're all made. some millionths of a second later, quarks aggregated to supply protons and neutrons. within minutes, these protons and neutrons blended into nuclei. because the universe continued to amplify and funky, matters started to occur extra slowly.
It took 380,000 years for electrons to be trapped in orbits around nuclei, forming the primary atoms. these were mainly helium and hydrogen, that is still by means of far the maximum abundant factors in the universe. gift observations propose that the primary stars fashioned from clouds of gasoline around hundred and fifty–200 million years after the Big Bang. Heavier atoms such as carbon, oxygen, and iron, have in view that been constantly produced in the hearts of stars and catapulted at some stage in the universe in marvelous stellar explosions known as supernovae.
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A man weighing 800 newtons is standing on a chair. In order to support the man, the chair is exerting a force of.
The chair is exerting a force of 800N.
Force is a quantity that is used to describe the interaction between two objects. Forces can cause objects to accelerate, decelerate, or change direction. In other words, forces can cause objects to move or change the way they are moving. The weight of an object is a measure of the force of gravity on that object and is calculated by multiplying the object's mass by the acceleration due to gravity.
In the given case, It would need a force equal to his weight (800 N) pressing in the opposite direction for the man to be able to rise up in the chair. Therefore, the 800 N force would be pushed upwards if he were to press down by standing on it.
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Pace left home at 8 am to spend the day at an amusement park. He arrived at the park, which was 150 km from his house, at 10 am. Pace explained that his speed was 38 km/h, which was a/an choose. Speed, but the fastest speed he went was 60 km/h, which was a/an choose. Speed.
The speeds are average and accelerated if pace explained his speed was 38km/h and fastest speed was 60km/h.
Pace was first moving at 38 km/h which was considered as his average speed yet the fastest speed he went was 60 km/h so he accelerated up.
The average speed of a body in any particular time interval is the distance covered by the body in that time interval divided by time. So if a particle covers a certain distance s in a time Time 1 to Time 2, then the average speed of the body is. In linear motion average speed is same as average displacement as distance and displacement in linear motion is same.
average speed=total distance travelled/total time taken
Now, talking about the accelerated speed which is highest speed attained by the object in its whole journey. Accelerated speed is variable in nature it regularly decrease or increase in small span of time.
Hence, correct speed are average, accelerated.
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(Complete question) is:
Pace left home at 8 AM to spend the day at an amusement park. He arrived at the park, which was 150 km from his house, at 10 AM. Pace explained that his speed was 38 km/h, which was a/an (accelerated / directional / instantaneous / average) speed, but the fastest speed he went was 60 km/h, which was a/an (directional / instantaneous / accelerated / average) speed.
What is the change in internal energy of an object if 10 J of heat is transferred into the system and 5 J of work is done by the system?
The change in internal energy is 15J when work done by system.
At the microscopic level, this form of energy includes internal kinetic energy and potential energy.
Internal kinetic energy is the sum of all kinetic energies of each system element with respect to the center of mass. (translation, rotation and vibration of atoms and electrons).
internal potential energy that is, the potential energy associated with each interaction of these elements. It relates to the static component of matter.
For example, a bottle of water at room temperature has no apparent energy. But at the microscopic level, water molecules vibrate and rotate at speeds of hundreds of meters per second.
q=u+w
u=q-w
=10-(-5)= 15J
since work done by system is negative.
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in part a, you found that planet z should not have polar ice caps or liquid water. what single change to planet z's characteristics would allow it to have these things?
A greater distance from its star can help planet z to nit have polar ice caps or liquid water.
How can distance from star prevent polar ice caps ?Polar ice caps are ice structures present in the extreme polar regions of the Earth.
These ice caps are forms because they receive less exposure to sunlight and thus water crystallizes into ice.
The distance from it's star matters because it directly correlates to the energy the planet receives from the star. If rhe distance is too far, then it’s too cold and water would freeze.
Distance from the star plays role in whether liquid water and ultimately, life as we know it, will exist on a planet. The chemical makeup of the planet and it’s ability to sustain an atmosphere also plays a huge role in determining whether liquid water could exist on a planet.
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a tire has a tread pattern with a crevice every 4.00 cm. each crevice makes a single vibration as the tire moves. what is the frequency (in hz) of these vibrations if the car moves at 24.2 m/s?
the frequency (in hz) of these vibrations if the car moves at 24.2 m/s is 605 HZ .
Calculation :
frequency = [tex]\frac{number of contacts}{second}[/tex]
frequency = [tex]\frac{24.2 m/s}{1}*100cm*\frac{1}{4cm}[/tex]
= 605 HZ
Frequency describes the number of waves passing through a particular location in a particular time. So if the wave takes 1/2 second to travel, the frequency is 2 per second. If it takes 1/100th of an hour, the frequency is 100 per hour.
Frequency is the number of occurrences of a repeating event per unit time. ... sometimes called time-frequency for clarity,
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Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one’s birth. the only known force that a planet could exerts on us is gravitational, so if there is anything to astrology we should expect this force to be significant.
Calculate the magnitude of the gravitational force (in N) exerted on a 3.00 kg baby by a 110 kg father 0.150 m away at birth (he is assisting, so he is close to the child.)
The magnitude of the gravitational force exerted on baby by the father is 9724 N * 10⁻⁷ N.
Gravitational force formula is given by:
F = GMm/r²
where G = gravitational constant
M and m = masses given
r = distance given in radius
Concerning this question, we can make a substitute of the formula to be:
F(father) = G*M(father)*m(baby)/r²
F = G * (110 kg) * (3kg) / (0.150)²
Where; G = gravitational constant ⇒ 6.63 * 10⁻¹¹ Nm²/kg²
M = mass of the father ⇒ 110 kg
m = mass of the child ⇒ 3 kg
r = distance between father and child ⇒ 0.2m
Force = 6.63 * 10⁻¹¹ * 110 * 3 / (0.150)²
Force = 9724 N * 10⁻⁷ N
We can now conclude that the gravitational force exerted on the baby by the father at birth is 9724 N * 10⁻⁷ N.
Therefore, the magnitude of the gravitational force exerted on baby by the father is 9724 N * 10⁻⁷ N.
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How do you dilate a figure with a center of dilation?
The point where the image gradually dilated is known as the center of dilatation (or point of dilation).
The dilation's centre is at the centre point. To calculate the lengths to the preimage as well as the dilation image, utilise the centre point. The scale factor was determined by these distances. Dilation A dilation would be a transformation that increases or decreases a figure's size.
The center of dilation as well as figure could be translated so that the origin will become the center, and then translated back to create a dilation with just about any point other than origin as the center.
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a loop antenna with loop radius of 0.4 m is made of copper wire of radius 4 mm. if the loop radiates at 6 mhz and carries a current of 50 a, find (a) the radiation resistance of the loop (b) the power radiated
The radiation resistance of the loop is 99.9 % and the power radiated 4.97 KW.
The real resistance = 8 π² (L/λ)²
L = 2πr
λ = C/f
power radiated = [tex]I^{2}[/tex]/r = 80 × 3.14 × 3.14 × 4× 3.14 × 3.14 × 0.4 × 0.4/2500
Power radiated = 4.97 KW
Radiation efficiency = Radiation resistance / radiation resistance + ohm resistance
ρL/A = 8 × [tex]10^{-8}[/tex] = 1.99 / 8 × [tex]10^{-8}[/tex] + 1.99
99.9 %
The definition of radiation is energy that emanates from a source and moves at the speed of light through space. This energy has wave-like characteristics and is surrounded by an electric and magnetic field. Electromagnetic waves are another name for radiation. In nature, there are many different types of electromagnetic radiation. One example is visible light. The highest energy radiation comprises x-rays, gamma rays, and ultraviolet light. Both X-rays and gamma rays are extremely energetic. They can take electrons out of atoms when they engage with them, ionizing the atom in the process. Our cells' DNA can be harmed by radiation. High radiation exposures can result in cutaneous radiation injuries (CRI) or acute radiation syndrome (ARS) (CRI).
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Two ropes have equal length and are stretched the same way. The speed of a pulse on rope 1 is 1.4 times the speed on rope 2.
Determine the ratio of the masses of the two ropes (m1/m2).
The ratio of the masses of the two ropes (m1/m2) is 0.51.
The square root of the tension divided by the mass per length, or the linear density determines the speed of a wave on a string.
The formula used to relate the speed of a pulse on the rope (the speed of a wave on a string under tension) is given by |v| = √(F/μ) where v is the speed of a wave, F is tension in the string/rope, and μ is linear density (μ=m(mass)/L(length)).
Then, the speed of pulse on the first rope is, v₁ = √(F/μ₁). Given v₁ is 1.4 times v₂. Therefore, 1.4 v₂ = √(F/μ₁).
The speed of pulse on the second rope is, v₂ = √(F/μ₂). Substitute this value in the previous equation, and we get,
1.4√(F/μ₂) = √(F/μ₁)
Squaring on both sides of this equation,
[tex]\begin{aligned}1.96\left(\frac{F}{\mu_2}\right)&=\frac{F}{\mu_1}\\\frac{\mu_1}{\mu_2}&=\frac{1}{1.96}\\\frac{\frac{m_1}{L}}{\frac{m_2}{L}}&=\frac{1}{1.96}\\\frac{m_1}{m_2}&=0.510\end{aligned}[/tex]
The answer is 0.51.
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Do you think the pitch of the waves sounds significantly different when both speakers are on?
Whether this difference is significant would depend on the specific frequencies of the sound waves and on the listener's perception of the pitch.
The pitch of a sound is determined by the frequency of the sound waves, which is the number of cycles of the wave per second. If the frequency of the sound waves produced by the two speakers is the same, then the pitch of the combined sound will be the same as the pitch of each speaker individually.
However, if the two speakers produce sound waves with different frequencies, then the pitch of the combined sound will be different from the pitch of each speaker individually.
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what is the term for the intrinsic property that indicates the ease with which a material is capable of allowing the flow of electric current?
Electrical conductivity is the intrinsic property that indicates the ease with which a material is capable of allowing the flow of electric current.
Why is electrical conductivity an intrinsic property?
An intrinsic attribute in materials science is independent of both the quantity and the shape of the material, such as a single huge piece or a collection of tiny particles. The basic chemical make-up and structure of the substance are the key determinants of intrinsic qualities.The capacity of a material to carry electricity is known as conductance (also known as electrical conductance). The ability of an electrical current (or flow of charge) to go through a substance is gauged by its conductance. Electrical resistance, denoted as 1/R, is the reciprocal of conductance, or its inverse.Resistance (R) and electrical conductance (G) have a reciprocal relationship: G = 1 R. Electricity's ease of movement through electrical components at a specific voltage differential is measured by electrical conductance. Siemens is the SI unit for conductivity (the older unit was the mho).
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what speed must a neutron have if its de broglie wavelength is to be equal to the interionic spacing of table salt (0.282 nm )?
The speed of the neutron have if its de broglie wavelength is to be equal to the interionic spacing of table salt is 1.40 km/s
Given that the mass of the neutron is m 1.67 × 10-27 kg and has a
the interionic distance of table salt, which is equivalent to the de Broglie wavelength, is
λ = 0.282 nm.
The de Broglie wavelength is expressed as
h p h mv -
where, h is the Planck's Constant h above equation in terms of v, we get = 6.63 × 10-34 Js. Rearranging the (1)
h mλ v =
By changing every value in the equation (1),
we get 6.63 × 10-34 J. s (1.67 × 10-27 kg) (0.282 × 10-9 m) km S
= 1.40 km/s
Therefore, the speed is v = 1.40 km/s
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What is the wavelength of a 5 Hz wave that travels with a speed of 10m s?
The wavelength of a 5 Hz wave is 2m that travels with a speed of 10m/s and frequency of 5Hz.
For an electromagnetic wave, we know that there is relation between speed, frequency, and wavelength which is given by
c=ν × λ
where c is defined as the speed of light in any medium,
v is defined as the frequency of the wave,
and λ is defined as the wavelength of the wave
Here c is different for different mediums. Usually in vacuum speed is very high whereas in rough surfaces speed is very low.
So, same formula is applicable to the given wave
Here speed of wave is 10m/sec, frequency of wave=5Hz and wavelength=?
So, putting the values, we get
=>10 = 5 × λ
=>λ=10/5
=>λ=2m
Hence, wavelength is 2m.
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suppose you observe a star orbiting the galactic center at a speed of 1000 km/s in a circular orbit with a radius of 12 light-days. calculate the mass of the object that the star is orbiting.
The mass of the object that the star is orbiting is 7.8 x 1036 kg, or nearly 3,900,000 times that of the Sun.
The orbital velocity law will be used to determine the mass of the core black hole:
M(r)= (rv^2)/G
The star's radius and speed must be converted into meters and meters per second in order to apply this law. 1.0x106 meters per second is the speed that we determine. Since it is specified as 20 light-days, the radius requires a little more work. We may convert to light-days and discover that the orbital radius is also 2.5x10(-2) light-years since there should be roughly 365 light-days in a light-year. Because a light-year is 9.46 x 1015 meters, the orbital radius is 5.2 x 1014 meters. Our calculations lead us to the conclusion that the center black hole's mass is 7.8 x 1036 kg, or nearly 3,900,000 times that of the Sun.
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Atom a has an atomic number of 19 and mass number of 40. Atom b has an atomic number of 20 and a mass number of 40. Which of these is an accurate statement?.
Atom A has one less proton and one less electron than Atom B.
An electron is a type of subatomic particle with a negative charge. A proton is a type of subatomic particle with a positive charge. Protons are held together by strong nuclear forces within the nucleus. A neutron is a type of subatomic particle that has no electric charge (it is neutral).
Protons are one of the three main particles that make up an atom. Protons are inside the nucleus. This is a small, dense area in the center of the atom. A proton has a positive charge of 1 (+1) and a mass of 1 atomic mass unit (amu), which is approximately 1.67 × 10−27 kilograms. Together with neutrons, they make up virtually the entire mass of an atom.
Atoms of all elements except most hydrogen atoms have neutrons in their nuclei. Unlike protons and electrons, which carry a charge, neutrons have no charge and are electrically neutral. So the neutron is denoted by n0 . Zero represents zero charge. The mass of a neutron is slightly larger than that of a proton, 1 atomic mass unit (amu). (A unit atomic mass is about 1.67 × 10−27 kilograms.) Neutrons are also about the same diameter as protons, or 1.7 × 10−15 meters.
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two simple harmonic oscillators are constructed by attaching similar objects to two different springs. the force constant of the spring on the left is 5 n/m and that of the spring on the right is 4 n/m. if the same force is applied to both, which statement is true?
The spring on the left will oscillate faster than spring on the right. This is the true statement.
A simple harmonic oscillator is a kind of oscillator that is either damped or driven. It generally has a mass' m', where a single force 'F' pulls the mass in the trajectory of the point x = 0, and depends only on the position 'x' of the body and a constant k.
The particle's acceleration in simple harmonic motion is directly proportional to its displacement and it is directed towards its mean location.
Since the force constant for the left spring is more than the right spring, The left will oscillate faster. It has the direct relation with force constant.
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The energy from the core creates convection currents which push magma through the lithosphere at the
crust is moved towards the
Word Bank:
mid-oceanic ridge old subduction zones
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and is recycled as it is pushed down by gravity into the mantle.
to form new crust.
The energy from the core creates convection currents which push magma through the lithosphere at the mid-oceanic ridge to form new crust. Old crust is moved towards the subduction zones and is recycled as it is pushed down by gravity into the mantle.
What is lithosphere?Lithosphere is defined as the layer of the earth that is located at the outermost part which is made up of earth crust and upper mantle.
The core of the earth is centrally located and is filled with hot magma. The energy from the magma is being pushed through the lithosphere at the mid-oceanic ridge to form new crust.
The mid-oceanic ridge is defined as the ridges that form along divergent plate boundaries.
Old crust is moved towards the subduction zones and is recycled as it is pushed down by gravity into the mantle.
The subduction zones are the zones where old crusts are destroyed through a process called subduction.
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A wheel 31 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6. 8 s. How far will a point on the edge of the wheel have traveled in this time?.
Within 6.8 s, a point on the edge of the wheel have traveled a distance of 6,619.12 cm.
The problem can be solved using the equation of rotational motion.
α = (ω_t - ω_o) / t
Where:
α = angular acceleration
ω_t = final rotational speed
ω_o = initial rotational speed
t = time period
The angle travelled is given by:
∅ = ω_o x t + 1/2 x αt²
∅ = ω_o x t + 1/2 x [ (ω_t - ω_o) / t] t²
∅ = 1/2 (ω_o + ω_t ) x t
Parameters given:
ω_o = 240 rpm = 25.13 rad/s
ω_t = 360 rpm = 37.7 rad/s
t = 6.8 s
Hence,
∅ = 1/2 (25.13 + 37.7 ) x 6.8 = 213.2 rad
The wheel radius:
r = 31 cm
The wheel perimeter:
C = 2 x π x 31 = 194.68 cm
Since the whole angle of a circle is 2π rad, then the travelled angle is equal to:
213.2 / 2π = 34 wheel perimeter.
Hence,
the distance travelled = 34 x 194.68 cm = 6,619.12 cm
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the siren of a fire engine that is driving northward at 40 m/s emits a sound of frequency 1500 hz. a truck in front of this fire engine is moving northward at 25 m/s. what is the frequency of the sound that the truck driver hears? assume the speed of sound in air is 343 m/s.
The frequency of sound that the truck driver hears is 1428.57 Hz.
Velocity of the fire engine = V = 40 m/s
Frequency of sound emitted by fire engine = F = 1500 Hz
Velocity of the truck = v = 25 m/s
Frequency of sound that the truck driver listens to = f =
= f = [( V' - V) / (V' - v )} X F
= f = [(343 - 40) / (343 - 25)] X 1500
= f = (303 / 318 ) X 1500
= f = 0.95 X 1500
= f = 1428.57 Hz
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A newly discovered planet is found to have density 2/3 pe and radius 2re, where pe and re are the density and radius of earth, respectively. The surface gravitational field of the planet is most nearly.
13 N/kg The surface gravitational field is given by acceleration due to gravity on the planet (g). Let the value of it on a newly discovered planet be g'.
What is the value of the gravitational field?The gravitational force acting on a mass of one kilogram is measured in newtons. G is assumed to be 9.806 N kg-1 at the surface of the Earth. Additionally, the acceleration of an item falling freely in the gravitational field of the Earth is denoted by the letter "g".
How does the gravitational field originate?Through the development of his theory of relativity, Albert Einstein demonstrated that gravity is a curvature in the space-time continuum rather than merely a force. Simply explained, an object's mass causes the space around it to essentially bend and curve. That may sound like it belongs in science fiction, but it's true.
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