Thus, the formula for the resistance of the shunt resistor in a single shunt circuit is:
Rs = R * (V / Vout - 2)
A single shunt circuit refers to a type of electrical circuit where a shunt resistor is connected in parallel to a load resistor. This configuration is commonly used in electronic devices to measure current, voltage, or power. In such a circuit, the resistance of the shunt resistor plays an important role in determining the overall behavior of the circuit.
To find the formula for the resistance of a single shunt circuit, we can start by analyzing the transfer matrix of the circuit. The transfer matrix describes the relationship between the input and output of the circuit, and can be used to calculate the resistance of the shunt resistor.
Let's assume that the input to the circuit is a voltage source V, and the output is the voltage across the load resistor R. The transfer matrix of the circuit can be written as:
M = [1 R / (R + Rs); 0 1]
where Rs is the resistance of the shunt resistor. This matrix relates the input voltage V to the output voltage Vout as follows:
[ Vout ; I ] = M [ V ; I ]
where I is the current flowing through the shunt resistor.
To find the resistance of the shunt resistor, we can use the fact that the shunt resistor and the load resistor are in parallel. Therefore, the total resistance of the circuit is given by:
Rtot = R || Rs = R * Rs / (R + Rs)
where || denotes parallel resistance.
Since the transfer matrix relates the input voltage to the output voltage, we can use the voltage divider formula to express the output voltage in terms of the input voltage and the resistance of the circuit:
Vout = V * R / (R + Rtot)
Substituting the expression for Rtot, we get:
Vout = V * R / (2 * R + Rs)
Solving for Rs, we get:
Rs = R * (V / Vout - 2)
Therefore, the formula for the resistance of the shunt resistor in a single shunt circuit is:
Rs = R * (V / Vout - 2)
In conclusion, the resistance of a shunt resistor in a single shunt circuit can be determined by analyzing the transfer matrix of the circuit and using the voltage divider formula. The formula obtained depends on the input and output voltages and the resistance of the load resistor.
Know more about the shunt resistor
https://brainly.com/question/31872307
#SPJ11
Two people, one having twice the mass of the other, play tug of war with a 12 meter rope on frictionless ice. After a brief time, they meet. The heavier person slides a distance of?
A) 6m
B) 4m
C) 5m
D) 3m
Answer:
In a tug of war, the forces applied by the two people on the rope must be equal in magnitude but opposite in direction. Therefore, if one person has twice the mass of the other, the person with the larger mass will experience twice the acceleration of the person with the smaller mass.
If the heavier person has twice the mass of the lighter person, and the two people meet after a brief time, it follows that the heavier person will have traveled twice as far as the lighter person. Since the rope is 12 meters long, and the two people meet at the center of the rope, the lighter person will have traveled half the length of the rope, or 12 / 2 = 6 meters. Therefore, the heavier person will have traveled twice this distance, or 2 * 6 = <<2*6=12>>12 meters.
Since the heavier person started from the same position as the lighter person, the distance that the heavier person slid is equal to half the total distance traveled, or 12 / 2 = <<12/2=6>>6 meters. Therefore, the correct answer is (A) 6 meters.
A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.
Answer:
Density= 2.78 g/cm³
Relative density=2.8
Explanation:
To calculate the density of the cube we have to use the formula ρ=mass/volume
ρ stands for density.
So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³
3³= 9 cm³
Now plug in the values. ρ= 25 g/9 cm³
ρ= 2.78 g/cm³
To find the relative density, we have to use the formula ρsample/ρH20
The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.
Now we have to make the units same so you change the unit of the density of cube to kg/m³
So, 25/1000= 0.025 kg
9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)
=0.000009 m³
The new density= 0.025 kg/ 0.000009 m³
= 2777.78 kg/m³
Now plug the values into the formula:
relative density= 2.777.78 kg/m³ / 997 kg/m³
=2.8
There is no unit since kg/m³ and kg/m³ cancels
Two mirrors are placed perpendicular to each other. A beam of light reflects off mirror 1 with incident angle θi = 78 degrees, then reflects off mirror 2 with angle θf
The angle of refection of the light from the second mirror forms an angle of 12°.
Explain the term reflection of light?When light reflects off a something, that is reflection. The light reflects at a similar angle from a smooth, shining surface, such as glass, water, or polished metal.
The horizontal mirror's reflected ray forms an angle with it, while the vertical mirror's incident ray forms an angle with the horizontal axis.The reflected ray and the initial ray are parallel.This is true for any position-fixed pairs of perpendicular mirrors.Allow ray to collide with vertical mirror at angle θi = 78 degrees.
It is then evident from the diagram that the angle of incidence at the horizontal mirror is (90°−θ) by combining the perpendiculars for two mirrors.
Thus,
θf = 90 - 78
θf = 12°
Thus, angle of refection of the light from the second mirror forms an angle of 12°.
To know more about the reflection of light, here
https://brainly.com/question/437098
#SPJ4
Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1. 0 mm and 3. 0 mm. Determine the magnitude of the electric field at a point which is 4. 0 mm from the symmetry axis. Group of answer choices
The magnitude of the electric field when it is located at a distance of 4.0 mm from the symmetry axis is 4.5 N/C
What is magnitude?The absolute or relative direction or size of an object's motion in the sense of motion can be used to define magnitude. It is extensively utilized to convey something's size or scope. In physics, the term "magnitude" typically means "distance" or "quantity."
According to the question,The charge density = 80 nC/m3.
The inner radius, r' = 1 mm
The outer radius, r'' = 3 mm
distance, r = 4 mm
The linear charge density is given by
λ = ρ π ( r"²- r²).
λ = 80 ×10⁻⁹ × 3.14 × 10 ⁻⁶× (9-1).
λ = 2 × . 10⁻¹²
The electric field is given by,
E = λ/4πe0r.
E = 4.5 N/C.
Therefore, the magnitude of the electric field at a point that is 4.0 mm from the symmetry axis is found to be 4.5 N/C.
Learn more about electric field:
brainly.com/question/19878202
#SPJ4
A 10.0-g marble is gently placed on a horizontal tabletop that is 1.75 m wide. (a) What is the maximum uncertainty in the horizontal position of the marble? (b) According to the Heisenberg uncertainty principle, what is the minimum uncertainty in the horizontal velocity of the marble? (c) In light of your answer to part (d), what is the longest time the marble could remain on the table? Compare this time to the age of the universe, which is approximately 14 billion years. (: Can you know that the horizontal velocity of the marble is zero?)
(a)The maximum uncertainty in the horizontal position is 1.75 m / 2 = 0.875 m.(b)The minimum uncertainty in the horizontal velocity of the marble is approximately 2.38 x 10^-33 m/s.(c)it does not provide information about the actual velocity of the marble. (d)the longest time the marble could remain on the table is 7.35 x 10^32 seconds.
The Heisenberg uncertainty principle states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle, such as position and momentum, can be known simultaneously. Let's address the questions based on this principle:
(a) To determine the maximum uncertainty in the horizontal position of the marble, we need to consider the width of the tabletop. The maximum uncertainty in position can be estimated as half the width of the tabletop, since the marble can be anywhere within that range. Therefore, the maximum uncertainty in the horizontal position is 1.75 m / 2 = 0.875 m.
(b) According to the Heisenberg uncertainty principle, the product of the uncertainties in position and momentum is greater than or equal to a certain minimum value. Mathematically, it is expressed as Δx * Δp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is the reduced Planck's constant (approximately 6.626 x 10^-34 J·s). In this case, we're interested in the uncertainty in the horizontal velocity, which is related to momentum.
The mass of the marble is given as 10.0 g, which is equivalent to 0.01 kg. Since the marble is gently placed on the tabletop, we can assume a negligible initial momentum. Therefore, we can estimate the minimum uncertainty in horizontal velocity (Δv) as follows:
Δx * Δp ≥ h/4π
Δx * m * Δv ≥ h/4π
Δv ≥ h/4π(m * Δx)
Substituting the values, Δx = 0.875 m and m = 0.01 kg, we can calculate the minimum uncertainty in horizontal velocity:
Δv ≥ (6.626 x 10^-34 J.s) / (4π * (0.01 kg) * (0.875 m))
Δv ≥ 2.38 x 10^-33 m/s
Therefore, the minimum uncertainty in the horizontal velocity of the marble is approximately 2.38 x 10^-33 m/s.
(c) The uncertainty principle tells us that the product of the uncertainties in position and momentum (or velocity) has a lower limit. Since the minimum uncertainty in the horizontal velocity is non-zero, it implies that the marble cannot have an exactly zero horizontal velocity. However, it does not provide information about the actual velocity of the marble.
(d)To estimate the longest time the marble could remain on the table, we can calculate the time it would take for the marble to traverse the entire width of the tabletop with its minimum uncertainty velocity. Assuming a constant velocity, we can use the equation:
Time = Distance / Velocity
Time = 1.75 m / (2.38 x 10^-33 m/s)
Time ≈ 7.35 x 10^32 seconds
Comparing this time to the age of the universe (approximately 14 billion years), we find that the time it would take for the marble to traverse the tabletop is incredibly long. In fact, it is many orders of magnitude larger than the age of the universe, indicating that the marble could essentially remain on the table indefinitely from a practical perspective.
However, it's important to note that this analysis is based on the fundamental principles of quantum mechanics and the uncertainty principle. In classical physics, the marble would come to rest due to friction and other factors. The uncertainty principle is primarily applicable to microscopic particles and not macroscopic objects like marbles in everyday scenarios.
To learn more about Heisenberg uncertainty principle visit: https://brainly.com/question/30325893
#SPJ11
can someone tell me the answer for both of these pleaseeee i need it asap!!! i will give brainlist!!
Answer:
1/ decreases
2/ yes;
In general there is no relationship, and any combinations of frequencies and amplitudes are allowed.
Explanation:
Explanation for 1/ - please see the picture attached below
What is the science behind Infrared thermometer ?
Answer:
Infrared thermometers employ a lens to focus the infrared light emitting from the object onto a detector known as a thermopile. The thermopile is nothing but thermocouples connected in series or parallel. When the infrared radiation falls on the thermopile surface, it gets absorbed and converts into heat.
PART II – CHOOSING THE APPROPRIATE UNIT For each example below choose the appropriate unit to measure each (mm, cm, m or km). 1. Width of physics book _____ 2. Distance from New York to Utah _____ 3. Length of fingernail _____ 4. Length of hallway _____ 5. Height of a mountain _____ 6. Length of a fork _____ 7. Distance between cities _____ 8. Width of your eyeball _____
Answer:
Explanation:
In this unit of measurement for distance or length, the units are arranged from the least to the largest unit i.e
mm < cm < m < km
Where mm is millimeter, cm is centimeter, m is meter and km is kilometer.
Hence, the appropriate unit to be used depends on how small or wide the length/distance being referred to is. For instance, the length of a stapler pin should be measured in millimeter while the length of a pen should be measured in centimeter. The appropriate measurement can be determined by determining the closest unit the value falls into. For instance, there is no need to refer to a length as 1000 cm when it can be referred to as 10 m (since 100 cm equals 1 m)
1. Width of a physics book should be measured in centimeters (this is similar to length of a pen).
2. Distance from New York to Utah should be measured in kilometers (Distance between far cities or states are measured in kilometers).
3. Length of a fingernail should be measured in millimeters (this is similar to the length of a stapler pin)
4. Length of hallway should be measured in meters (This is generally larger than centimeter but lesser than kilometer)
5. Height of a mountain should be measured in kilometers (This is usually a very long distance from the earth surface)
6. Length of a fork should be measured in centimeters (This is similar to the length of a pen).
7. Distance between cities should be measured in meters (except the distance is far apart, distance between close cities are measured in meters)
8. Width of the eyeball should be measured in millimeters (similar to the length of a stapler pin and fingernail).
While participating in a blood drive at school, Keona learns that blood has a density of 1.06 g/mL. She donates one pint of blood, which is equal to 473.176 mL.
The mass of the blood denoted is 501.6 g.
What is the mass of the blood she denoted?The mass of the blood denoted by Keona is calculated by applying the formula for density of a liquid as shown below.
density = mass/volume
mass = density x volume
The given parameters include;
density of the blood = 1.06 g/mLvolume of the blood, = 473.176 mLThe mass of the blood is calculated as follows;
mass = 1.06 g/mL x 473.176 mL
mass = 501.6 g
Thus, the mass of the blood is calculated from the formula of density.
Learn more about density here: https://brainly.com/question/6838128
#SPJ1
The complete question is below
While participating in a blood drive at school, Keona learns that blood has a density of 1.06 g/mL. She donates one pint of blood, which is equal to 473.176 mL. find the mass of the blood denoted.
In which direction will the box move?
3N
15 N
12 N
5 N
A.
to the right
B.
to the left
C.
downward and to the left
upward and to the right
an airplane flying into a headwind travels the 1680-mile flying distance between two cities in 3 hours. on the return flight, the airplane travels this distance in 2 hours and 30 minutes. find the airspeed of the plane (in mi/h) and the speed of the wind (in mi/h), assuming that both remain constant.
Speed of plane, x = 616 mph and speed of wind, c = 56 mph
What is speed?Time rate at which an object is moving along a path is known as speed, whereas velocity is the rate and direction of the movement of object.
Let x be the speed of plane and c be the speed of wind
then x - c = speed without wind; and x + c= speed with wind
We know, distance=speed* time
2hr30min = 150 min=2.5 hr
1680 =(x-c)* 3
1680 =3x -3c --- (1)
1680 = (x+c)* 2.5
1680 =2.5x+2.5c ----(2)
Multiply equation (1) with 2.5 and equation (2) with 3
4200 = 7.5x -7.5c
5040 =7.5x + 7.5c
Adding these 2 equation to eliminate c
9240 =15 x
Speed of plane, x = 616 mph
1680 =3x -3c
3c =3x-1680
3c =3(616) -1680
3c =168
Speed of wind, c = 56 mph
To know more about speed, refer
https://brainly.com/question/13943409
#SPJ 4
the approximate mass of mercury
True or False
1)All forces cause a change in an object’s speed and direction.
Answer:
True
Explanation:
Answer and Explanation:
True I believe bc if you put a certain amount of force on an object it'll move and depending on where you place the force on the object it'll move in that direction. How much force and how much weight the object has will determine the speed...
Which letter represents the location of the resister in this diagram? A B C D
Answer:
A
Explanation:
A letter represents the location of the resistor in this diagram
what is function of resistor ?Resistor can be defined as a passive electrical component with two terminals and are used for either limiting or regulating the flow of electric current in electrical field.
The main aim of resistor is to reduce the current flow and to lower the voltage in any particular portion of the circuit.
The SI unit of resistor is Ohm, each one has one connection and two terminals. wire wound resister is used in the balanced current control, accurate measurement are required like in shunt with ampere meter.
Photoresistors use in flame detectors, burglar alarms, in photographic devices, etc, it is also used for controlling temperature and voltmeter; also used in modulators, demodulators, and transmitters.
For more details regarding resister, visit
https://brainly.com/question/15183145
#SPJ2
4. Analyze Ideas Why did scientists agree to use the SI units worldwide instead of
the units common at their locations?
Answer:
Explanation:
SI units are interrelated in such a way that one unit is derived from other units without conversion factors. ... SI is used in most places around the world, so our use of it allows scientists from disparate regions to use a single standard in communicating scientific data without vocabulary confusion.
describe how specific elements can be identified in a particular spectra
Specific elements can be identified in a particular spectra through a process called spectral analysis.
Each element has a unique set of energy levels, which correspond to the specific wavelengths of light they can absorb or emit. When an element is excited, such as by heating or applying an electric current, it releases energy in the form of light, this emitted light creates a spectrum, which is a pattern of wavelengths specific to that element. Spectroscopy is the technique used to study these spectra. When light from an excited element is passed through a spectrometer, the light is separated into its constituent wavelengths, creating a characteristic pattern called an emission spectrum.
Conversely, when light is passed through a cool gas of the element, certain wavelengths are absorbed, resulting in an absorption spectrum. By comparing these spectra to known patterns of elements, scientists can accurately identify the elements present in the sample. In summary, specific elements can be identified in a particular spectrum by analyzing their unique patterns of emitted or absorbed light wavelengths through spectroscopy. By comparing these patterns to known emission or absorption spectra of various elements, one can determine the composition of the sample being analyzed, this technique has numerous applications, including the study of chemical reactions, analysis of environmental samples, and even determining the elemental composition of stars and distant celestial objects.
Learn more about spectroscopy at
https://brainly.com/question/30882359
#SPJ11
(332-40(B)) Where MI cable terminates, a _____ shall be provided immediately after stripping to prevent the entrance of moisture into the insulation.
Where MI cable terminates, a seal shall be provided immediately after stripping to prevent the entrance of moisture into the insulation.
When terminating MI (mineral-insulated) cable, we need to ensure that the cable is properly sealed to prevent the ingress of moisture into the insulation. Moisture can cause corrosion, breakdown of the insulation, and other problems that can compromise the safety and integrity of the cable.
To prevent this, a seal should be provided immediately after stripping the cable. The seal should be applied securely and in accordance with the manufacturer's instructions to ensure that it provides an effective barrier against moisture ingress.
To know more on National Electrical Code
brainly.com/question/17215290
#SPJ4
Plzz help me and I will mark u the brainiest
Answer:
C
Explanation:
Mass remains constant whilst weight varies based on the gravitational field strength. Weight is actually a measure of how much gravity affects the mass of an object.
Answer:
C
Explanation:
The mass of the object is the same wherever it is. Weight is measured by the force exerted on the mass by the amount of gravity.
what is alpha centauri?
Alpha Centauri is the closest star system and closest planetary system to Earth's Solar System at 4.37 light-years (1.34 parsecs) from the Sun.
tyuojprtu
reterrty\(\int\limits^a_b {x} \, dx\)
∑
Water is heated by hot air in a double-pipe heat exchanger L = 10 m, with water flowing in the inner tube (Di = 3 cm), and air flowing in the tube annulus (Do = 5.5 cm). The flow rate of the water is 1.2 kg/s and that of the air is 0.5 kg/s. The water enters at 40°C while the air enters at 280°C. If the air-side convection coefficient hair = 1000 W/m2·K, determine the following:
(a) The outlet temperatures of both the air and the water if the heat exchanger is operating in a parallel-flow arrangement.
(b) The outlet temperatures of both the air and the water if the heat exchanger is operating in a counter-flow arrangement.
Assume fully-developed flow conditions. Evaluate the fluid properties at the inlet temperatures.
(a) In a parallel-flow arrangement, the outlet temperature of the water and the air can be determined using the energy balance equation. The heat transfer rate between the water and the air is equal to the product of the water mass flow rate, specific heat capacity of water, and the change in temperature of the water:
Similarly, the heat transfer rate between the air and the water is equal to the product of the air mass flow rate, specific heat capacity of air, and the change in temperature of the air:
Since the heat exchanger is operating under fully-developed flow conditions, the outlet temperature of the water and the air can be found by equating the heat transfer rates:
By substituting the given values, including the specific heat capacities of water and air, and solving the equations, the outlet temperatures of the air and water can be calculated.
(b) In a counter-flow arrangement, the outlet temperatures of the air and water can be determined using a similar energy balance equation. However, in this case, the change in temperature of the air is taken as the difference between the outlet and inlet temperatures of the air:
Again, by equating the heat transfer rates, substituting the given values, and solving the equations, the outlet temperatures of the air and water in a counter-flow arrangement can be calculated.
To learn more about temperature click here brainly.com/question/11464844
#SPJ11
Problem The capacitors shown on the figure have the capacitances C
1
=10.0μF,C
2
=4.0μF, and C
3
=3.0μF. a. Find the total capacitance of the combination of capacitors. b. A voltage of V=100 V is applied to the capacitors circuit. Find the charges q
1
,q
2
, and q
3
, and the voltages V
1
,V
2
, and V
3
on the three capacitors. c. What is the total electrostatic energy E stored in the group of capacitors?
The total capacitance of the combination of capacitors can be calculated by using the formula for capacitance in series and parallel combinations.
How can the total capacitance of the combination of capacitors be calculated?For capacitors in series, the reciprocal of the total capacitance (\(C_{total\)) is equal to the sum of the reciprocals of individual capacitances: \(1/C_{total\)= 1/C1 + 1/C2 + 1/C3.
By substituting the given capacitance values, we can determine the total capacitance of the combination.
To find the charges (q1, q2, q3) and voltages (V1, V2, V3) on the capacitors, we can use the relationship q = CV, where q is the charge, C is the capacitance, and V is the voltage across the capacitor.
By applying the given voltage of V = 100 V to the capacitors circuit, we can calculate the charges on each capacitor using the corresponding capacitance values.
The voltages on the capacitors can be obtained by dividing the charges by their respective capacitances.
To calculate the total electrostatic energy (E) stored in the group of capacitors, we can use the formula \(E = (1/2)CV^2\), where E is the energy, C is the capacitance, and V is the voltage across the capacitor.
Learn more about total capacitance
brainly.com/question/30901159
#SPJ11
Which of the following determines and objects ability to float in water
Atomic number
Mass and volume
Displacement in a liquid
Mass and gravity
what could be the problem with a whirlpool electric stove if the broiler and baking elements wont come on
if the broiler and baking elements on a Whirlpool electric stove won't come on, potential problems could include issues with the power supply, element failure, control board malfunction, or wiring/connection problems. A professional technician can help diagnose and fix the problem accurately.
If the broiler and baking elements on a Whirlpool electric stove won't come on, there could be several potential problems. Here are some possible causes to consider:
1. Power supply: Check if the stove is receiving power. Make sure it is properly plugged into a functioning electrical outlet. You can also check the circuit breaker or fuse box to ensure that the circuit hasn't tripped or the fuse hasn't blown.
2. Element failure: The broiler and baking elements could be faulty or burnt out. Over time, these elements can wear out and need to be replaced. You can visually inspect the elements for any signs of damage or breakage.
3. Control board malfunction: The control board is responsible for sending signals to the elements to turn them on. If the control board is faulty or malfunctioning, it may not be sending the proper signals to activate the broiler and baking elements. In this case, the control board may need to be repaired or replaced.
4. Wiring or connection issues: Examine the wiring and connections that supply power to the broiler and baking elements. Loose or damaged wiring can prevent the elements from functioning properly. Check for any loose or corroded connections and repair or replace them if necessary.
It's important to note that troubleshooting electrical appliances can be complex, and it may be best to consult a professional technician for a proper diagnosis and repair. They will have the expertise to identify the exact problem and provide the appropriate solution.
In conclusion, if the broiler and baking elements on a Whirlpool electric stove won't come on, potential problems could include issues with the power supply, element failure, control board malfunction, or wiring/connection problems. A professional technician can help diagnose and fix the problem accurately.
To know more about problems visit;
brainly.com/question/31611375
#SPJ11
A
heat engine is measured to have 30% efficiency. Is the theoretical
efficiency going to be greater or less than that? Why?
The theoretical efficiency is greater than that of the actual efficiency of the engine. This is because heat engine always produces some waste heat.
The Second Law of Thermodynamics states that a heat engine cannot be 100% efficient. In practice, a heat engine is only 100% efficient when it is operating at about 30-50% efficiency.
If we were to multiply this by 100, we would get the efficiency as a percent: 49%. This is the theoretical maximum efficiency. If we were to actually build an engine, it would be less efficient than the theoretical engine. The theoretical engine that can achieve this theoretical maximum efficiency is called the Carnot Engine.
To learn more about the heat engine, refer to the link:
https://brainly.com/question/13155544
#SPJ4
A progressive wave equation is represented by y=Asin2π(0. 15t-0. 1x). Find the
period,
amplitude,
frequency,
wavelength,
velocity
Given that the progressive wave equation is represented by y=Asin2π(0.15t-0.1x). Let's find the period, amplitude, frequency, wavelength, and velocity.
The wave equation is represented by y=Asin2π(0.15t-0.1x). The standard wave equation can be written asy = Asin(kx-ωt + Φ)Where,k = wave numberω = angular frequencyΦ = phase angle for the given equation, k = 0.1 and ω = 0.15.Amplitude:
Amplitude = A = maximum displacement from the mean position.A = 1Frequency: Frequency is the number of complete oscillations made by a point on the wave in one second. It is denoted by f.f = ω/2πFrequency, f = 0.15/2π = 0.0238 HzPeriod: Period is the time taken by one complete oscillation.
To know more about wavelength visit:
https://brainly.com/question/31143857
#SPJ11
help in science pleas in physical science
Answer:
liquid
Explanation:
hope this helps
an elementary student of mass m=34 kg is swinging on a swing. the length from the top of the swing set to the seat is L=4.7 m. the child is attempting to swing all the way around in a full circle.
-what is the minimum speed in meters per second the child must be moving with at the top of the path in order to make a full circle?
-assuming the child is traveling at the speed found in part a what is their apparent weight in newtons at the top of their path? (at the top, the child is upside-down)
-if the velocity at the very top is the same velocity from part a what is the childs apparent weight in newtons at the very bottoms of the path?
An elementary student of mass m=34 kg is swinging on a swing. the length from the top of the swing set to the seat is L=4.7 m.
a) The minimum speed the child must be moving at the top of the path in order to make a full circle is 9.14 m/s.
b) The apparent weight of the child at the top of the path is 1005.52 N.
c) The apparent weight of the child at the bottom of the path is 333.54 N.
We can solve this problem using the conservation of energy and the centripetal force equation.
(a) At the top of the swing, the child is momentarily at rest, so all of the kinetic energy has been converted to potential energy. All of the potential energy has been transformed into kinetic energy at the swing's bottom.
The minimum speed required at the top of the path to make a full circle is the speed at which the centripetal force required to keep the child moving in a circle is equal to the gravitational force pulling the child downward.
Setting the centripetal force and gravitational force equal, we have:
\(mv^2 / L\)= mg
where m is the mass of the child, v is the speed of the child at the top of the path, L is the length of the swing, and g is the acceleration due to gravity.
Solving for v, we get:
v = \(\sqrt{(gL) }\)= \(\sqrt{(9.81 m/s^2 * 4.7 m) }\)≈ 9.14 m/s
Therefore, the minimum speed the child must be moving at the top of the path in order to make a full circle is approximately 9.14 m/s.
(b) At the top of the path, the child is momentarily upside-down, so the apparent weight is the sum of the gravitational force and the centripetal force required to keep the child moving in a circle.
The gravitational force on the child is:
\(mg = 34 kg * 9.81 m/s^2 = 333.54 N\)
To keep the kid moving in a circle, you need to apply the following centripetal force:
\(mv^2 / L = 34 kg * (9.14 m/s)^2 / 4.7 m\) ≈ \(671.98 N\)
Therefore, the apparent weight of the child at the top of the path is approximately 1005.52 N (333.54 N + 671.98 N).
(c) At the bottom of the path, the child is moving at the same speed as at the top, so the centripetal force required to keep the child moving in a circle is the same. However, at the bottom of the path, the gravitational force is the only force acting on the child.
The gravitational force on the child is the same as in part (b):
mg = \(34 kg * 9.81 m/s^2 = 333.54 N\)
The centripetal force required to keep the child moving in a circle is:
\(mv^2 / L = 34 kg * (9.14 m/s)^2 / 4.7 m\) ≈ \(671.98 N\)
Therefore, the apparent weight of the child at the bottom of the path is approximately 333.54 N (equal to the gravitational force).
To learn more about the centripetal force equation, refer:-
https://brainly.com/question/14021112
#SPJ11
A container gas expands to fill a 3l container has a mass of 129g what is its density
A container gas expands to fill a 3l container and has a mass of 129g its density is equal to 0.043 \(kgm^{-3}\)
Let's understand the answer in detail
Density is equal to the mass of a substance divided by its volume. The SI unit of density is Kg/m3. Other units of density are g/cm3, g/mL, kg/L
The formula we are using is going to be
D=m/v, where
D= density
m=mass
V=volume
The data that is given to us states that
mass = 129g
volume= 3 L
density = ?
Now we will put the values in the formula,
d= m/v
d = 0.129 Kg / 3L
d = 0.043 Kg / L
Therefore the density of the gas is 0.043 Kg / L.
Learn more about density here
brainly.com/question/15164682
#SPJ4
when graphing a demand curve, we place _______ on the y-axis and _________ on the x-axis.
When graphing a demand curve, we place "Price" on the y-axis (vertical axis) and "Quantity" on the x-axis (horizontal axis).
The demand curve illustrates the relationship between the price of a product or service and the quantity demanded by consumers. The y-axis represents the price, which is measured vertically, and the x-axis represents the quantity, which is measured horizontally. As the price increases, the quantity demanded typically decreases, reflecting the law of demand. Therefore, the demand curve slopes downward from left to right. The specific shape and steepness of the demand curve may vary depending on factors such as consumer preferences, income levels, and the availability of substitute goods.
Learn more about demand curve:
https://brainly.com/question/26460726
#SPJ11
muscle up lab for physics can someone help me with this question please. why might the horsepower for two activities using the same muscle group (running up the stairs and jumping or arm curls and push ups) yield different amounts of power?
Answer:
Work
Explanation:
The amount of work you put into the activities can affect different amounts of power. Since power is work/time and work is force/displacement, it depends on the amount of work you put into it to alter the power.
Sowwy if my explanation is wack :C