The correct answer for the ratio of the period of object a to the period of object b 4.
we know time for one revolution. around which is the period for one revolution it has to travel distance equal to perimeter.
So, speed of object in circular motion
v = perimeter /t
time period = 2πr/v
for object A ,Ta = 2 π R/ v
for abject B, Tb = (2π R/2 )/2v
now Ta / Tb = ((2πR)/v)/((2π(R/2))/(2V)) = 1/(1/4) = 4
Circular motion is defined in physics as the movement of an object around the circumference of a circle or the rotation of an object along a circular path. It can be uniform, with a constant angular rate of rotation and speed, or non-uniform, with a variable rate of rotation.When the magnitude of an object's velocity in uniform circular motion is v, the velocity is equal to the circumference C of the circle divided by the period. As a result, V = fracCT. The circumference of a circle is equal to pi multiplied by R. So, C = 2Π R.
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explain why ???? and ???? can have magnitudes higher than the magnitude of the input source voltage when circuit 2 is at (or close to) resonance.
The reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.
When current passes through an inductor a magnetic field is produced and the collapsing magnetic field produced by the inductor charges the capacitor. This process repeats itself causing the electrical energy to oscillate between magnetic and electric field. Because of this oscillation, at resonance, voltage across the inductor and capacitor can be greater than the input voltage.
For a RLC circuit,
[tex]V_{s}[/tex] = [tex]\sqrt[]{V_{R}^{2} + (V_{L} - V_{C})^{2} }[/tex]
where,
[tex]V_{R}[/tex] = Voltage across the Resistor
[tex]V_{L}[/tex] = Voltage across the inductor
[tex]V_{C}[/tex] = Voltage across the capacitor
At resonance,
[tex]V_{L}[/tex] = [tex]V_{C}[/tex]
Therefore, the reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.
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Consider the reaction, 2 d(g) 3 e(g) f(g) => 2 g(g) h(g) when d is decreasing at 0.69 mol/ls, how quickly is f decreasing? give your answer to 3 decimal places.
The compound f is increasing at the rate of 0.46 mol per second.
The number of moles of a compound is defined as the mass of the compound divided by its molecular mass. The SI unit of the number of moles is mol. The number of moles is represented by the symbol 'n'.
[tex]Number \: of \: moles = \frac{ Mass}{ Molecular \: mass}[/tex]
[tex]n = \frac{m}{M} [/tex]
The balanced equation for the reaction is,
2 d (g) + 3 e (g) + f (g) => 2 g (g) + h (g)
In the reaction, 3 moles of compound e are consumed to give 2 moles of compound g.
For 1 mole of compound e consumed to form =
[tex] \frac{2}{3} \: moles \: of \: g \: formed.[/tex]
The compound e is decreasing at the of = 0.69 mol/s
So, the rate at which g is increasing is,
[tex] = \frac{2}{3} \times 0.69[/tex]
[tex]= 0.46 \: mol/ s[/tex]
Therefore, compound f is increasing at the rate of 0.46 mol per second.
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what is sound and how does it move through different mediums?
During an isothermal process, 10 j of heat is removed from an ideal gas. What is the work done by the gas in the process?
The work done in the isothermal process is 10 joule.
We need to know about the isotherm process to solve this problem. The isotherm process can be described as a process where the initial temperature system will be the same as the final temperature. Hence, the internal energy change will be zero.
ΔU = 0
Hence,
ΔU = Q - W
0 = Q - W
Q = W
It means that the heat transferred is the same as the work done.
From the question above, we know that the heat transferred is 10 joule. Thus, the work done in the isothermal process is 10 joule.
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what is the electric potential at point p which is 24 cm away from a 2.31 micro coloumb charge giancoli answers
The electric potential at point p is 86.53 KV
We know that,
Electric potential V = kQ / r
where,
k = Coulomb's constant
Q = Point charge
r = Distance
Given that,
r = 24 cm = 0.24m
Q = 2.31 mC = 2.31 * [tex]10^{6}[/tex] C
k = 8.99 * [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]
V = ( 8.99 * [tex]10^{9}[/tex] * 2.31 * [tex]10^{6}[/tex] ) / 0.24
V = 86.53 KV
Electric potential is the amount of work energy required to move a unit charge from a reference point to a specific point inside an electric field. It is a scalar quantity.
Therefore, the electric potential at point p is 86.53 KV
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Find the area under the standard normal curve to the right of z=0.49. round your answer to four decimal places, if necessary.
Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.
What is the standard normal curve?The horizontal axis is approached by the standard normal bend as it extends indefinitely both in directions without ever being touched by it. The center of the bell-shaped, z=0 standard normal curve. Between z=3 and z=3, almost the entire area underneath the standard normal curve is located.
Use of the standard normal curve:Use the normal distribution's standard form to calculate probability. Since the standard normal distribution is indeed a probability distribution, the probability that a variable will take on a range of values is indicated by area of the curve between two points. 100% or 1 is the total area beneath the curve.
According to the given data:the region to the left of the standard normal curve,
z=0.49
To the right of,
z = 2.05
So,
The area will be:
= P[z < 0.49] + P[ z >2.05]
= P[z < 0.49] + 1 - P[ z < 2.05]
= .6879 + 1 - .9798
= 0.7081
Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.
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I understand that the question you are looking for is:
Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.
The layers in a high-mass star occur in order of:________
a. atomic abundance.
b. fusion temperature.
c. atomic number.
d. spin state.
A high-mass star has layers that are arranged in order of b. Temperature for fusion.
What is the temperature of fusion?The temperature at which a substance transforms from a solid to a liquid is known as its melting point. The solid and liquid phases are in equilibrium at the melting point. Pressure affects a substance's melting point, which is typically reported at a standard pressure such 1 atmosphere or 100 kPa. There are two main categories of fusion reactions: those that maintain the ratio of protons to neutrons and those that convert protons to neutrons. The solid-liquid and liquid-to-gas transitions are connected with the typical heats of fusion and vaporization, respectively, for each substance.
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If you use the approximate nonrelativistic equation for the magnitude of momentum of the proton, what answer do you get?
The answer is 4.96 * 10⁻¹⁹ kg m / s
Proton is an elementary particle that is identical to the nucleus of the hydrogen atom, along with the neutron is a constituent of all other atomic nuclei, that carries a positive charge numerically equal to the charge of an electron, and has a mass of 1.673 × 10−27 kilogram
nonrelativistic equation for the magnitude of the momentum of the proton is p = m * v
Then: p = m * v
Then Let's calculate its value
After that p = 1.67 * 10⁻²⁷ * 0.99 * 3 * 10⁸
Now, p = 4.96 * 10⁻¹⁹ kg m / s
hence the answer is 4.96 * 10⁻¹⁹ kg m / s
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A tortoise can run with a speed of 16.3 cm/s, and a hare can run 220.2 cm/s. In a race, they both start at the same time, but the hare stops to rest for 1.6 min. The tortoise wins by 108 cm.
What was the length of the race in cm?
The correct answer is 369.2765m
Speed of tortoise = v_t= 16.3cm/s=0.163m/s
Speed of hare= v_h=220.2cm/s=2.202m/s
Rest time of hare is t_r=1.6min
Tortoise wins by distance of x = 108cm=1.08m
Consider that S is the length of a racetrack.
At the conclusion of the race, calculate the tortoise's distance travelled.
S=v_t×t
S=0.163m/s×t ______(1)
Here, t is the race's actual time.
Find out how long the hare spent racing.
t_h=t-t_r
t_h=t-1.6min×(60s/1min)
t_h=(t-2160)s
At the conclusion of the race, determine the hare's distance travelled.
S-x=v_h×t_h
S-1.08m=2.2×(t-2160)s
S=2.2×(t-2160)s+1.08m_____(2)
To determine the race time, substitute equation (1) for equation (2).
0.163m/s×t=S=2.2×(t-2160)s+1.08m
0.163t=2.26t-4752+1.08
4752-1.08=2.26t-0.163t
4750.92=2.097t
4750.92/2.097=t
2265.5=t
To determine the length of the race or the track, substitute the amount of time in equation (1).
S=0.163m/s×t
S=0.163×2265.5
S=369.2765m
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In the photoelectric effect, a beam of light impinges on a metal, and it is observed that electrons are ejected from the metal in greater numbers as the?
In the photoelectric effect, a beam of light impinges on metal, and it is observed that electrons are ejected from the metal in greater numbers as the intensity of light increases.
In physics, the photoelectric effect refers to a phenomenon in which the emission of charged particles takes place from a material or substance after absorbing electromagnetic radiation.
When light hits the surface of the material then electrons are released known as photoelectrons.
This phenomenon better explains the quantum nature of electrons and light.
Moreover, the study of the dual nature of wave particles has further expanded the scope, investigation, and understanding of the matter.
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If the outside air temperature increases during a flight at constant power and at a constant indicated altitude, the true airspeed will:__________
The true airspeed will increase and true altitude will increase.
What is true air speed?True airspeed is the airspeed of an aircraft relative to undisturbed air.
It's the aircraft speed relative to the airmass in which it's flying.
How does outside air temperature affect air speed?If the outside air temperature increases during a flight at constant power and at a constant indicated altitude, the true airspeed will increase and true altitude will increase.
Thus, the true airspeed will increase and true altitude will increase.
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A proton is suspended in the air by an electric field at the surface of a planet whose gravitational acceleration is g = 10.2 m/s2. what is the strength of this electric field?
The strength of this electric field is 10.64×10⁸ N/C.
Electric field strength is a quantitative expression of the intensity at a particular location of a electric field.
It is a vector quantity.
Electrostatic force on the charge :
[tex]F_{e} = mg[/tex] (equation1).
m = mass
g = gravity
electrostatic force of a charge on an electric field :
[tex]F_{e} = Eq[/tex] (equation2).
E = magnitude of electric field
q = charge
using equation 1 and 2 we get
Eq = mg
m = 1.67×10⁻²⁷ kg
g = 10.2 m/s²
q = 1.6 ×10⁻¹⁹
E = mg/q
= 1.67×10⁻²⁷ kg ×10.2 m/s² / 1.6 ×10⁻¹⁹ C
E= 10.64×10⁸ N/C
The strength of this electric field is 10.64×10⁸ N/C.
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I need help with #25 PLEASEEEE!!
I DONT UNDERSTAND
A certain sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3 . what is the density of galena?
The density of galena is 7.56 g/cm³.
We need to know about the density to solve this problem. Density can be described as how much the mass is in a volume unit. It can be written
ρ = m / V
where ρ is density, m is mass and V volume
From the question above, we know that
m = 12.4 g
V = 1.64 cm³
By substituting the given parameter, we can calculate the density
ρ = m / V
ρ = 12.4 / 1.64
ρ = 7.56 g/cm³
Hence, the density of galena is 7.56 g/cm³.
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20 drops of an essential oil have a mass of 407.7 mg (milligram) and a density of 0.875g/cm3. what is the volume occupied by the drops?
Volume occupied by the drops is 0.46 cm^3
Given:
no. of drops of oil = 20 drops
mass of 20 drops = 407.7 mg
Density of 20 drops = 0.875g/cm3
To Find:
Volume occupied by the drops
Solution:
Density is define as mass per unit volume
by using the formula we can find volume
Density = mass/volume
0.875 = 0.4077 gram/ volume
Volume = 0.4077 gram/0.875 = 0.46 cm^3
Hence, volume occupied by 20 oil drops is
0.46 cm^3
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A boy sledding down a hill accelerates at 1.25 m/s2. if he started from rest, in what distance would he reach a speed of 5.30 m/s?
By uniform motion, the distance traveled is 11.24 meters.
We need to know about the uniform motion to solve this problem. The uniform motion is the motion of an object which has acceleration applied. It can be determined as
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time interval and s is displacement.
From the question above, we know that:
a = 1.25 m/s²
vo = 0 m/s
vt = 5.3 m/s
By using the second equation, we can calculate the distance
vt² = vo² + 2a . s
5.3² = 0² + 2 . 1.25 . s
2.5s = 28.09
s = 11.24 m
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A runner with a mass of 75 kg accelerates from 0 to 7 m/s in 4 s. find the net force on the runner using the alternate form of newton's second law.
Using the Newton's second law the net force of the runner is 131.25 N
To solve this exercise the formula for net force and the formula for uniformly varied rectilinear motion (UVRM) to be applied are:
F = m * aa = (vf - vi) /tWhere:
F = Forcem = massa = accelerationvf = final velocityvi = initial velocityt = timeInformation about the problem:
m = 75 kgvf = 7 m/svi = 0 m/st = 4 sa = ?F = ?N = kg * m/s²Applying the formula for UVRM we can calculate the acceleration of the runner:
a = (vf - vi) /t
a = (7 m/s - 0 m/s) / 4s
a = 7 m/s / 4s
a = 1.75 m/s²
With the acceleration we can apply the net force formula and get:
F = m * a
F = 75 kg * 1.75 m/s²
F = 131.25 N
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
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what is sine wave or sinusoidal wave? write the general form of sine wave and define each term. requency and speed of this wave.
sine wave or sinusoidal wave -
sine wave can be described as a geometric waveform that oscillates periodically.
It retains its wave shape when added to the another sine wave of the same frequency.
It is a continuous wave.
the general form of sine wave is
y = asin(bx)
where
a is amplitudeamplitude is the maximum displacement from its mean position to extreme position.
b is periodicityPeriodicity is a repeating continuous pattern which determine its wavelength and frequency.
Frequency of sine wave.
1kHz that is sine wave goes through thousand complete cycle in one second.
Speed of sine wave.
Speed = frequency x wavelength
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Suppose a and b are orthogonal vectors. what is projab? why? give a geometric interpretation in r2 and r3.
A and B are orthogonal vectors, so projab=0 and projab = b
If the vectors a and b are present in, then b is projected onto an as
[tex]proj_{a} b[/tex] = [tex]\frac{a.b}{a^{2} }[/tex]a.
Suppose a and b are orthogonal vectors. Then and
[tex]proj_{a} b[/tex][tex]=\frac{a.b}{a^{2} }=0[/tex]
Suppose a and b are parallel vectors. Then a scaler c exists such that b=cx and
[tex]proj_{a} b=[/tex][tex]=\frac{a.b}{a^{2} }=c\frac{a.b}{a^{2} } a=ca=b[/tex]
[tex]proj_{a} b=0\\proj_{a} b=b[/tex]
What are the orthogonal unit vectors?The term "orthogonal unit vectors" refers to a collection of vectors that are mutually perpendicular to one another, that is, they intersect at an angle of 90° with a magnitude of one unit. Since Cos90 is zero, the dot product of an orthogonal vector is always zero.
Two orthogonal vectors have a zero dot product. The zero dot product of the two column matrices that represent them. It only matters in relation to orientation. In the case of orthogonal vectors, the dot product is zero.
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If earth receives half as much light per unit area per unit time from star a compared to star b, what is the apparent visual magnitude difference between the stars?
The apparent visual magnitude difference between the Star A is higher.
What does apparent visual magnitude measure?A star's apparent magnitude, or m, indicates how brilliant the star appears when it is far away from Earth. The scale is logarithmic and "backwards." Stars with larger magnitudes are also fainter stars. Be aware that brightness is another word for the flux of light that is coming at us and is measured in Watts per square meter.
The brightness of a star or other celestial object as seen from Earth is expressed in terms of apparent magnitude. The apparent magnitude of an object is determined by its inherent luminosity, its distance from Earth, and any light extinction brought on by interstellar dust in the path of the observer's line of sight.
The brightness of a star or other celestial object perceived from Earth is measured in apparent magnitude (m). The apparent magnitude of an object is determined by its inherent luminosity, its distance from Earth, and any light extinction brought on by interstellar dust in the path of the observer's line of sight.
The apparent visual magnitude difference between the Star A is higher.
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Identify the element(s) and standard(s) of critical thinking with corresponding essential question(s) relative to your perception of the ethical dilemma.
An ethical dilemma describes a conflict between two morally correct courses of action.
Being able to reason effectively and logically about what to believe or do is known as critical thinking. It comprises the capacity for independent and thoughtful thought. These are some examples of what someone with critical thinking abilities can do:
Recognize the logical relationships between concepts.Determine, create, and assess arguments.Find logical errors and common contradictions.Approach issues methodically.Determine the applicability and significance of concepts.Consider how one's own values and opinions are justified.The ability to think clearly and rationally is crucial whatever we choose to undertake. It should go without saying that critical thinking is crucial if you work in the fields of education, research, business, law, or management.
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If two insulated wires were to melt together where the copper conductors touched each other, the type of failure would be called a(n) ________.
A short to voltage failure would occur if the copper conductors of two insulated wires came into contact and melted together.
Describe voltage:The difference in electric potential between two points, also known as voltage, electric potential difference, electric pressure, or electric tension, is measured as the amount of work required to move a test charge per unit of energy between the two sites.
What is voltage formula?The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.
What different voltages are there?Electrical services are categorized:
Low Voltage: 1000 volts or less.Medium Voltage is defined as much over 1000 volts and under 100 kV.High Voltage is defined as voltages of at least 100 kV but not more than 230 kV.Ultra-High Voltage is defined as 1000 kV or more.To know more about Voltage visit:
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an open electrical circuit as a result of a failed circuit breaker is considered to be what type of failure system?
Answer:
Fail-close
Explanation:
A failed open switch is a switching device (be it mechanical, relay, semiconductor) that has lost it's switching capabilities (it's defective) and the switched contacts are now constantly open (disconnected) regardless of the control signal to the switch.
Similarly a failed closed switch is the same just with the contacts connected through.
An inert atmosphere was obtained by adding nitrogen in a room that measures and has a 8.00 ft ceiling. how many liters of nitrogen were used to fill the room?
An inert atmosphere was obtained by adding nitrogen in a room that measures 11.0 ft x 11.0 ft and has a 8.00 ft ceiling. The number of liters of nitrogen that were used to fill the room is : (D) 2.74 x 104 Liters.
The number of liters of nitrogen that were used to fill the room
= Volume of room in cm3 x 1 Liters / 103 cm3
Volume of room in cm3 = 11.0 ft x (30.48 cm / 1 ft) x 11.0 ft x (30.48 cm / 1 ft) x 8.00 ft x (30.48 cm / 1 ft)
= 27410707.501 cm3 or 2.741 x 107 cm3
And since 1 Litres = 103 cm3
Volume of room in cm3 = 2.74 x 107 cm3
Now putting these values in the above equation we get
So, the number of liters of nitrogen that were used to fill the room
= Volume of room in cm3 x 1 Liters / 103 cm3
= 2.74 x 107 cm3 x 1 Liters / 103 cm3
= 2.741 x 104 Liters
Thus, an inert atmosphere was obtained by adding nitrogen in a room that measures 11.0 ft x 11.0 ft and has a 8.00 ft ceiling. The number of liters of nitrogen that were used to fill the room is 2.74 x 104 Liters.
The conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the wallsThe area of the walls is 2 ,160 ft ²
we know that,
The area of the walls is = perimeter of the conference room * the height of the ceiling
So,
A = 2 (40 + 50 ) (12)
A = 2 , 160ft²
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An olympic swimming pool is approximately 88,263 ft3. how many cubic meters (m3) is this? assume there are 3.28 ft in 1 meter.
There are 2501.3m³ in 88,263 ft³ the Olympic swimming pool.
What is geometry?Along with arithmetic, geometry is one of the oldest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions. Geometer is the term used to describe a mathematician who specializes in geometry.
What exactly does geometry in physics mean?The area of mathematics known as geometry is concerned with the characteristics of the surrounding environment as well as the shapes of particular objects and their spatial relationships.
According to the given information:swimming pool is approximately 88,263 ft³
assume there are 3.28 ft in 1 meter.
Now ,
Given that :
3.28ft = 1m
1 ft = 1/(3.28)m
So,
1 ft = (1/3.28)³m³
88,263 ft³ = 88263/(3.28)³
= 2501.3m³
There are 2501.3m³ in the Olympic swimming pool.
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A force can give a certain mass a certain acceleration. if i double the force and double the mass, the acceleration of this object will be:________
The acceleration of this item will remain constant if I double the force and double the mass.
What does acceleration mean ?The rate at which a moving object's speed and direction change over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.
If an object is accelerating and moving in the appropriate direction, it has positive acceleration. The speeding automobile in the first scenario showed positive acceleration. The car is moving forward and accelerating in the same direction as the acceleration.Learn more about Acceleration here:
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The electric field at point p due to a point charge q a distance r away from p has magnitude e. in order to double the magnitude of the field at p, you could:__________
You could double the charge to 2Q in order to double the size of the field at P.
What is the definition of the electric field and its formula?Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field's equation is given as E = F / Q.The magnitude of the electric field is equivalent to the newtons per coulomb at that location in space. The electric field can be calculated as the force per charge, or, put another way, the electric force is equal to the charge multiplied by the electric field at that location in space.
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A 300-kg bear grasping a vertical tree slides down at constant velocity. the friction force between the tree and the bear is:_________
a. 30 n.
b. 300 n.
c. 3000 n.
d. more than 3000 n.
3000 N of friction exists between the bear and the tree.
How does friction force work?
Friction is the force that prevents two solid objects from rolling or sliding over one another. Even though frictional forces, such as the traction required to walk without slipping, may be advantageous, they can also be a significant hindrance to motion.Between solid surfaces, there are three basic types of friction:
RollingSliding.Static. They are graded from strongest to weakest. Fluid friction happens when liquids or gasses are mixed together.Explanation:
The bear goes down at a constant speed, thus there is no acceleration. The forces add up to zero. As a result, upward friction and downward weight result in zero
i.e.,
F-mg=0
F = mg
F = (300 kg)/10 [tex]m/s^{2}[/tex] (gravitational acceleration)
3000 N frictional force equals F.
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The potential at points a and b are: va = -2 v and vb = 6 v. when a 5 c charge is moved from a to b, the change in potential energy of this system is:__________
This system's potential energy changed by 40 J.
Energy = charge * potential difference
=> Energy = (8v)*5
=> Energy = 40 J
Hence the answer is 40 J.
What is potential difference?Potential difference, often known as voltage, is equal to the amount of current times the resistance. One Joule, or one Volt, of energy is required for one Coulomb of charge to flow from one place in a circuit to the another.
What is the formula for the potential difference?V=U q, The change in the potential energy of a charge q transported from point A to point B, divided by the charge, is what is used to determine the electric potential difference between points A and B, or VBVA. The joules per coulomb unit of the potential difference is called the volt (V).
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A race car is moving at 40.0 m/s around a circular racetrack of radius 265 m. calculate the period of the motion.
The race car that is moving at 40.0 m/s around a circular racetrack of radius 265 m has a period of motion of 41.63 s
To solve this tangential velocity problem the formula and the procedure we will use is:
v = (2 * π * r) / T
Where:
v = tangential velocityπ = mathematical constantr = radiusT = periodInformation about the problem:
v = 40.0 m/sπ = 3.1416r = 265 mT=?Applying the tangential velocity formula and isolating the period, we get:
v = (2 * π * r)/ T
T = (2 * π * r)/ v
T = (2 * 3.1416* 265 m) / 40.0 m/s
T = (1665.04 m) / 40.0 m/s
T = 41.63 s
What is tangential velocity?In physics is the length of arc traveled in each unit of time in uniform circular motion. It is expressed in units of distance per time (m/s), (km/h).
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