In Part III, the independent variable, the one that is intentionally manipulated, is the mass and volume of the baseball.
In Part III, the dependent variable, the one that you measure the response in, is the density of the baseball.
What is a variable in an experiment?A variable in an experiment refers to anything that may vary or be altered in the experiment. To put it another way, it is any variable that can be changed, under control, or assessed in an experiment.
The three types of variables in an experiment are:
the independent variable - this is the variable that is intentionally manipulated by the researcherthe dependent variable - this the variable that the researcher measures the response or change that occurs in itthe constant variable - this is the variable that does not change in the experiment.In the given experiment to investigate the density of the questionable baseball;
The independent variable is the mass and the volume of the baseball
The dependent variable is the density of the baseball.
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Answer:
In Part III, the independent variable, the one that is intentionally manipulated, is-material.
In Part III, the dependent variable, the one that you measure the response in, is-density.
(I hope I helped you! <3)
Calculate the power of an electric bulb which consumes 2400 J in a minute
power of the bulb = 40 watt
Briefing
Power: In physics, the term "power" refers to the rate at which a task is completed, or how much energy is used during the allotted time.
What is energy now?
In physics, energy refers to the ability to do a task. It may exist in different forms, including potential, kinetic, thermal, electrical, chemical, radioactive, and others.
Consequently, in light of the posed query:
2400 J of energy
60 seconds in a minute is time.
As a result, we know that Power = Energy/Time.
p = E/t p = (2400-/60) joules/sec
p=40 W
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List the excited states (in spectroscopic notation) to which the 3d state can make downward transitions. (Select all that apply.)
1s
2s
2p
3s
3p
3d
4s
4p
4d
4f
This state cannot make downward transitions.
There are no downward transitions in this stage. Electrons in an atom can move up or down depending on whether they are absorbing or emitting energy.
These proved that, in contrast to Dalton's theory, atoms are composed of subatomic particles such as electrons, protons, and neutrons. The production of triply excited states, in which all three electrons are excited and the K shell is left vacant, is made possible by the presence of neutral lithium. We will discover how to identify elements and describe the electrical configurations of atoms and ions using the electron shell notation. thermal excitation condition. The well-known Planck formula provides the energy density of such radiation in an enclosure at constant temperature.
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Which statement best explains the purpose of making the loop of wire turn between the permanent magnets in an electric generator?
OA. The magnetic fields of the magnets cause electric charges in the
moving wire to flow.
B. The poles of the magnets reverse while the loop of wire is in
motion.
OC. The electric charges in the loop are repelled if the loop of wire
stops turning.
D. The electric current in the loop causes a magnetic field to form
around the moving wire.
Answer: C
Explanation:
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apply the loop rule to loop 2 (the smaller loop on the right). sum the voltage changes across each circuit element around this loop going in the direction of the arrow. remember that the current meter is ideal.express the voltage drops in terms of vb , i2 , i3 , the given resistances, and any other given quantities.
The voltage drops in terms of vb , i2 , i3 , the given resistances, and any other given quantities.ΣΔV = 0 = I3 ⋅ R3 - I2 ⋅ R2.
When applying Kirchhoff's second rule the loop rule we need to identify closed loops and decide whether to loop clockwise or counterclockwise. For example, in Figure 3 the loop was traversed in the same direction as the current.
Loop 1 is the full loop and Loop 2 is the small loop on the right. To apply the loop rule, add all those voltage changes. Kirchhoff's Second Law, also known as Kirchhoff's Voltage Law states that the sum of all voltages around the closed loop of any circuit must be zero. This is a result of charge conservation and energy conservation.
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The smoke from the Old Man’s furnace travels up from the basement at a velocity of |.5 meters per second. Ralphie is sitting in the kitchen above and can smell the smoke within 6 seconds. What is the approximate distance that the smoke travels up from the furnace?
The approximate distance that the smoke travels up from the furnace is 9metres.
What is distance?Distance is described as a numerical or occasionally qualitative measurement of how far apart objects or points are. In the field of physics or everyday usage, distance is usually referred to a physical length or an estimation based on other criteria.
Parameters given:
Velocity = 1.5
time = 6 seconds
We know that distance = speed x time
Hence, distance = 1.5 x 6 seconds
distance = 9 meters.
Distance is a scalar quantity that refers to how much ground an object has covered in the course of its motion while we can describe displacement as a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
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A thin, 100g disk with a diameter of 8.00cm rotates about an axis through its center with 0.180J of kinetic energy.What is the speed of a point on the rim?Express your answer with the appropriate units.
A thin, 100g disk with a diameter of 8.00cm rotates about an axis through its center with 0.180J of kinetic energy, The speed of a point on the rim = 2.44 m/s
Information:-
kinetic energy = E = 0.15 J
mass = m = 100g = 0.1 kg
diameter = d = 8.0 cm = 0.08 m
Speed = v =?
Answer:
v = 2.44 m/s
First, convert the diameter into the radius
r = d/2 = 0.08/2 = 0.04 m
The moment of inertia of the disc is given by
I = 0.5mr²
Where m is the mass and r is the radius of the disk
I = 0.5(0.1)(0.04)²
I = 0.00008 kg.m²
and since we are dealing with rotational motion then rotational kinetic energy is given by
E = 0.5 I ω²
we have to separate ω
ω² = E/0.5 I
ω = √E/0.5 I
ω = √0.15/0.5(0.00008)
ω = 61.23 rad/sec
Finally, we know that speed is given as
v = ω r
v = 61.23 (0.04)
v = 2.44 m/s
Therefore, the speed of a point on the rim is 2.44 m/s
When you consider that velocity is primarily based on distance and pace is based on displacement, these quantities are efficaciously identical (have the identical magnitude) when the time c programming language is "small" or, inside the language of calculus, the importance of an item's average speed methods its average speed as the time c program language period approaches.
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The speed of the point on the rim is 2.68 m/s .
So given ,
moment of inertia of disk = mr^2/2 = 0.1*0.04^2/2 = 8 x10^-5 kg-m^2
kinetic energy = 0.180 J
from
K = 0.5Iw^2
0.180 = 0.5*8x10^-5 *w^2
w = 67.08 rad/s
v = rw = 0.04 * 67.08 = 2.68 m/s.
Speed is measured because of the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has the handiest route and no significance.
For the measurement of speed in automobiles, speedometers are used. To measure the gap covered odometers are used. Speed can also be calculated with the help of a graph.
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if the short-term passive test indicates a radon level reading of 18 pci/l, which of the following statements is the most correct?
Radon is a radioactive gas which has no smell, colour or taste.
What is radon?When you breathe in radon gas, it decomposes into solid radioactive particles that can become trapped in your lungs. These particles release small energy bursts as they degrade further. Over the course of ones lifetime, this can cause lung tissue to deteriorate and result in lung cancer.
Lung cancer has radon as one of its main causes. Depending on the average radon level across the nation and the prevalence of smoking, radon is thought to be responsible for anywhere from 3% to 14% of all lung cancers. Smokers are more likely to develop lung cancer due to the interaction between radon and smoking cigarettes.
There are tried-and-true, long-lasting, and reasonably priced ways to keep radon out of new construction and reduce it in existing structures.
With a small passive detector, it is simple to measure the amount of radon indoors.
The amount of radon in the air is measured in “picocuries per liter of air,” or “pCi/L
Note that your information is incomplete and a overview was given.
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A block of mass 4 kg slides on a horizontal frictionless surface with a speed of 2 m/s. It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 N/m, by how much the spring will be compressed?
a. 2 x 10(-2) mb. 0,2 mc. 20 md. 200 m
A block with mass 4 kg glides at a speed of 2 m/s across a horizontal, frictionless surface. By compressing a spring in its journey, it comes to rest. The spring has a 0.2 m compress.
What process does kinetic energy undergo to become potential energy?But when you exert force on the battery, the charged particles begin to function, transforming the potential energy into kinetic energy. Similar to this, when you turn on a light, the potential energy goes through your wiring and is transformed into light and heat, both of which are examples of kinetic energy.
Given that,
Block weight: 4 kg
Speed = 2 m/s.
400 N/m force constant; we must determine the distance.
The elastic potential energy of the spring is created from the kinetic energy of the block.
Kinetic energy and potential energy in relationship
1/2mv^2=1/2kx^2
x^2=mv^2/k
put the value into the formula
x^2= 4*2^2/400
x^2=.04
x= .2m
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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear out. The results are Brand A: \overline{x}_1 = 36. 300 x
1
=36.300 kilometers, s_1s 1
= 5000 kilometers. Brand B: \overline{x}_2 = 38. 100 x
2
=38.100 kilometers, s_2 = 6100s 2
=6100 kilometers. Compute a 95% confidence interval for \mu A − \mu BμA−μB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal.
A 95% confidence interval for μA-μB is 0.025
If we want to make a 95% confidence interval estimate for an unknown population mean. This means that there is a 95% probability that the confidence interval will have the true population mean.
Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.
We have,
n1 = 12
s1 = 5000
mean x1 = 36300
n2= 12
s2 =6100
mean x2 =38100
We have to find 95%confidence interval for μA- μB
from 95% = 100 (1-α%)
1-α = 0.95
α = 1-0.95 =0.05
α/2 = 0.025
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Filed sdi as269len insbude sil velfs ovom
What distance will a bus go if it is traveling at a rate of 50 km/hr for 3.8
hours?
A. 190.0 kilometers
B. 53.8 kilometers
C. 46.2 kilometers
D. 13.2 kilometers
The distance the bus will go, if it is travelling at a rate of 50 km/hr for 3.8 hours is 190 kilometers (Option A)
How do I determine the distance the bus will go?We know that speed is defined as distance travelled per unit time i.e
Speed = Distance travelled / time
Cross multiply
Distance travelled = Speed × time
With the above formula, we can calculate the distance the bus will go. Details below:
Speed = 50 km/hr Time = 3.8 hoursDistance travelled =?Distance travelled = Speed × time
Distance travelled = 50 × 3.8
Distance travelled = 190 kilometers
Thus, we can conclude that the distance the bus will go is 190 kilometers (Option A)
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An oil layer floats (at rest) on 90 cm of water in a tank. The pressure at the bottom of the tank is 113.0 kPa .How thick is the oil? Suppose that the density of the oil is 900kg/m3. (The density of water is 1000kg/m3.)
The thickness of the oil is 0.327 m.
The bottom pressure of the tank is given by atmospheric pressure, pressure given by oil and pressure of water. It is mathematically given as,
P = Patm + ρoil g* t + ρwater g * h
Making 't' as subject, we have,
ρoil g* t = P - Patm - ρwater g * h
t = (P - Patm - ρwater g * h)/ρoil g -------(1)
Given that, Height of the tank h = 0.9 m
Pressure at the bottom of the tank P = 113 kPa
Patm = 1.013 * 10⁵ Pa
g = 9.8 m/s²
ρwater = 1000 kg/m³
ρoil = 900 kg/m³
Placing the values in the above equation,
t = (P - Patm - ρwater g * h)/ρoil g
t = (113* 10³ - 1.013 * 10⁵ - 10³* 9.8* 0.9 )/(900* 9.8)
⇒ (113* 10³ - 101.3* 10³ - 8.82* 10³)/(900* 9.8) = 2.88 * 10³/(900* 9.8)
⇒ 0.327 m
Thus, the thickness of the oil is found to be 0.327 m.
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A runner first runs a displacement A of 3.20 km due south, and then a second displacement Bthat points due east.(a) The magnitude of the resultant displacement A + B is 5.18 km. What is the magnitude (in m) of B?____kmWhat is the angle that A + Bmakes relative to due south? (Your answer must be a positive number from 0 to 180 degrees).Is this angle east or west of south?(b) Consider a situation where the runner still runs a displacement B due east, and we find that the vector A − B has a magnitude of 5.18 km. In this situation, what is the magnitude (in km) of B?_____kmWhat is the angle that A − B makes relative to due south? (Your answer must be a positive number from 0 to 180 degrees).Is this angle east or west of south?
The magnitude of the resultant displacement A + B is 5.18 km. Displacement of A is 3.2 km. The magnitude of B is 4.07 km.
It can be seen that the resultant displacement and the other 2 displacements form a right angle triangle, with A + B as the hypotenuse, 3.2 km as the opposite and the displacement B as the adjacent.
By using Pythagoras theorem, the adjacent side of the triangle can be found.
(5.18)² = (3.20)² + B²
26.83 = 10.24 + B²
B² = 26.83 - 10.24
B² = 16.59
B = √16.59 = 4.07 km
Thus, the magnitude of B is 4.07 km.
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A student releases the 4kg bob of a 0.47m long
pendulum from the position shown.
What is the period of the harmonic motion?
S
What is the frequency of the harmonic motion?
Hz
How many cycles would the pendulum make in
45s?
6
(You may answer with a decimal)
6°
Projectile launch is a kinematics application to the movement of objects near the earth's surface.
How to find Projectile launch?Since the acceleration is constant, the time it takes for the body to go up is equal to the time it takes to go down; thus, the time it takes to go up is half of the total time.
tu = ttotal/2
tu = 4.70 / 2
tu = 2.35 s
The height the ball reach
The point of maximum height where the vertical velocity is zero
vy = voy - gt
0 = voy - gt
voy = gt
= 9.8 x 2.35
= 23 m / s
By using the equation.
v²y = v²oy - 2gy
0 = v²oy - 2gy
y = v²oy/2g
y = 23²/2 x 9.8
y = 27 m
To find the initial velocity,
Initial vertical velocity = 23 m / s
vx = x/t
The throw range is 44m in time of 4.60 s
vₓ = 44 / 4.60
v₀ = [tex]\sqrt{v^{2}ox + v^{2}oy }[/tex]
v₀ = [tex]\sqrt{9.56^{2}+23^{2} }[/tex]
v₀ = 24.9 m / s
The launch angle is:
Let's use trigonometry
tan θ = voy/vox
θ = tan⁻¹ voy/vox
θ = tan⁻¹ 23/9.56
θ = 67.4°
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Part B
The general kinematic equations of motion for vertical displacement can also be simplified significantly. Write the simplified equation for y in this case. Explain how you have been able to simplify it from this general displacement equation:
The general vertical displacement equation for object moving upwards is written as h = v₀t - ¹/₂gt².
What is the vertical displacement of an object?The vertical displacement of an object is the height travelled by the object.
The general kinematic equations of motion for vertical displacement is written as follows;
y = y₀ + v₀t + ¹/₂at²
where;
y₀ is initial vertical position of the objectv₀ is the initial vertical velocity of the objecta is the acceleration of the objectt is the time of motionIf the object is moving upwards, the new kinematic equation becomes;
h = 0 + v₀t - ¹/₂gt²
h = v₀t - ¹/₂gt²
where;
h is the vertical displacement of the objectv₀ is the initial vertical velocity of the objectg is the acceleration due to gravityt is the time of motion of the objectFor the simplified equation above, the acceleration of the object changes to acceleration due to gravity since the object is moving against gravity in the negative direction.
Thus, the general kinematic equations of motion for vertical displacement is written in terms of acceleration due to gravity in negative direction since it is moving upwards.
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aphasia
Due to an automobile accident, Jenny suffered damage to her cerebral cortex in Broca's area. Jenny is most likely to experience:
Due to an automobile accident, Jenny suffered damage to her cerebral cortex in Broca's area. Jenny is most likely to experience: aphasia.
Aphasia is the inability to understand or form language due to damage to certain areas of the brain The main causes are stroke and head trauma. Although the prevalence is difficult to determine, aphasia due to stroke is estimated at 0.1-0.4% in the Global North. Aphasia can also be the result of a brain tumor, brain infection, or neurodegenerative disease (such as dementia).
To be diagnosed with aphasia, communication after an acquired brain injury Speech or language must be significantly impaired in one (or more) of the four aspects of Alternatively, in the case of progressive aphasia, it must have decreased significantly over a short period of time. The four dimensions of communication are auditory comprehension, verbal expression, reading and writing, and functional communication.
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when an object of unknown mass is attached to an ideal spring with force constant 130 n/m, it is found to vibrate with a frequency of 7.25 hz.
When a massless item is fastened to an ideal spring with a force constant of 130 n/m, it is discovered that it vibrates at a frequency of 7.25 hz. The motion lasts 0.138 seconds.
What does a spring's force constant mean?In accordance with Hooke's law, the force necessary to compress or enlarge a spring is directionally related to or proportionate to the length it is stretched to. K is used to indicate the force constant.
What exactly is a vibration's frequency?The rate of vibrations and oscillations is called frequency, and it is expressed in hertz (Hz) units. To distinguish and ascertain vibrational patterns, frequencies are used. Therefore, a faster-vibrating atom would be seen as having a greater frequency than a slower-vibrating one.
Briefing:T= 1/f = 1/7.25 Hz = 0.138s
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The given question is incomplete. The complete question is:
When an object of unknown mass is attached to an ideal spring with force constant 130 n/m, it is found to vibrate with a frequency of 7.25 hz. What is the period of the motion?
show an example of the method described above. ii. why might your calculated value for the half-life of barium-137 from this method differ from the accepted value?
By monitoring a sample's activity as it decays, Ba-137m can be calculated. Utilizing AktivLab, the radioisotope Ba-137half-life, m's which was isolated from Cs-137, is found.
How is the experiment's half-life determined?After that, the half-life is calculated using the basic concept of activity, which is the sum of the radionuclide decay constant,, and the number of radioactive atoms present, N. By using the formula = ln2/T1/2, one may solve for and obtain the half-life.
Describe half-life in detail.?A half-life is the duration needed for something to reduce in quantity by half. The phrase is most frequently used in reference to radioactive decay, which takes place when unstable atomic particles shed energy. There are 29 elements that can travel through this, according to known facts.
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what is the force on the electron, magnitude, and direction? (i.e. when it is in the plane of the page as stated above.) justify your answer.
Faraday's left hand rule gives us the direction of the force on the particles, then [tex]F^{\prime}=B q v\\[/tex] gives the size of the force.
What is direction?
Direction is characterized as the course that anything follows, the route that must be taken to go to a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.
If we use Faraday's left hand rule on each particle, we can determine the effect of the magnetic field on the particle. The diagram shows the direction of the fields and the "current" so we can apply the rule.
For the electron, the magnetic field will exert a force directed into the plane of the paper (or if travelling on the earth, this will be towards the earth).
For the proton, the magnetic field will exert a force out of the paper (or if travelling on the earth, this will be away from the earth).
The force on a particle of charge q moving in a magnetic field, B with a velocity v is given by:
[tex]F=B q v[/tex]
Both proton and electron have a charge of [tex]1.6 \times 10^{-19} C\\[/tex]
For the electron
[tex]$$F=\left(190 \times 10^{-3}\right) \cdot\left(1.6 \times 10^{-19}\right) \cdot 575000=1.748 \times 10^{-14} N$$[/tex]
For the proton
[tex]$$F=\left(54.2 \times 10^{-6}\right) \cdot\left(1.6 \times 10^{-19}\right) \cdot 130000=1.127 \times 10^{-18} N$$[/tex]
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A steam power plant operates on the simple ideal Rankine cycle between the pressure limits of 10 kPa and 10 MPa, with a turbine inlet temperature of 600 degree C. The rate of heat transfer in the boiler is 800 kJ/s. Disregarding the pump work, the power output of this plant is: A. 284 kW B. 800 kW C. 508 kW D. 243 kW E. 335 kW
Option E; The pump work, the power output of this plant is 335KW
Pressure. at turbine. inlet P1 = 10 Mpa.
Enthalpy at turbine inlet = h1=3625.84 KJ/kg.
Entropy at turbine inlet S1 =6.90 KJ/kg-K.
It is given that process performed acceording to ideal rankine cycle which is "Reversible adiabatic expansion' in case of turbine wor., Since it is reversible adiabatic expansion, entropy at turbine inlet and entropy at turbine outlet is constant. So quality at turbine outlet is evaluated by using this relation. S1 = S2.
Pressure at turbine outlet = 10 Kpa.
Enthalphy of steam = hg =2675.1 KJ/kg.
Enthaphy of liquid=hf =417.51 KJ/kg
Entropy of steam = Sg =7.3589 KJ/kg-K.
Entropy of liquid =Sf =1.302 KJ/kg-K.
We know S1 = S2 =6.090=1.302+x(7.3589 - 1.302).
Quality at turbine exit x =0.79.
Enthalphy at exit = h2 = 417.51+ 0.79*(2675.1 - 417.51) =2201 KJ/kg-K.
heat transfered= mass*(enthlphy at exit of condenser - enthalphy at turbine inlet), Since pump work negleted
At exit of condenser, steam gets converted into water at 10 Kpa pressure whose enthalphy is hf =417.51 KJ/kg.
800 = m(3625.84 - 417.51).
mass flow rate of steam = 0.24 Kg/sec.
Turbine work the power output of this plant is = m(h1 - h2) =0.24(3625.84 - 2201) = 335 KW.
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sand dunes form when ? ? sand build up in one place
Sand dunes form when the mound grows in circumference and height due to subsequent sand build up in one place by wind.
What is sand dunes?A sand dune is a mass of loose sand grains that have accumulated due to wind movement. The mound will eventually get so massive that it will collapse under its own weight to form a sand dune as it increases in height and circumference as a result of additional sand deposits. A set of sand dunes is referred to as a sand dune complex or sand dune system by geologists.
On the other hand, depending on the quantity of vegetation present, vast clusters of sand dunes are referred to as sand seas or sand dune fields. Ergs are another name for sand seas.
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Your question is incomplete, but most probably the question was:
sand dunes form when _______ sand build up in one place by wind.
With respect to stellar spectra, select all of the correct statements from the following list.
Doppler shifts in spectral lines give clues to the motions of stars.
The Lyman and Paschen series of the hydrogen spectrum are not visible.
Stellar spectra are absorption spectra.
Spectra can reveal the chemical composition of stars.
With respect to stellar spectra Doppler shifts in spectral lines give clues to the motions of stars.
What do spectral lines tell us?The spectral lines of an element can be used by astronomers to determine the element's temperature as density within the star. The spectral line may also be used to display the star's electric flux. The width of the line may be used to gauge how rapidly the material is moving. We can learn something about stellar winds from this.
How are elements recognized by spectral lines?Dark bands in a broad band can be used to identify components, and it can also reveal an object's temperature: The spectrum has more green, blue, and violet hues as the temperature rises. The spectrum of relatively cool objects is dominated by deep red or red and yellow.
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The -2.0 nC charge in the figure is in equilibrium. What is the charge of q ?
Hi there!
The easiest way to find the charge of q would be to find the "downward" (relative to the page) forces produced by the two positive 2.0nC charges. The force produced by 'q' would have to be equal and in the opposite direction to the sum of these forces.
The force equation involving two charges is:
[tex]F_E = \frac{kq_1q_2}{r^2}[/tex]
[tex]F_E[/tex] = Electrostatic Force (N)
k = Coulomb's Constant (8.99 × 10⁹ Nm²/C²)
q₁, q₂ = Charges (C)
r = distance between charges (m)
Let's begin by finding the electrostatic force between the -2.0 nC charge and one 2.0 nC charge.
(Recall that nC is 10⁻⁹ C and cm is 10⁻² m)
[tex]F_E = \frac{(8.99*10^{9})(2.0*10^{-9})(2.0*10^{-9})}{(\sqrt{0.03^2 + 0.02^2})^2}[/tex]
*We are using the Pythagorean theorem to find the total distance.
Plugging into a calculator:
[tex]F_E = 2.767*10^{-5} N[/tex]
We are only interested in the VERTICAL component of this force, since the 'q' charge is directly in line with the -2.0nC charge and does not produce any horizontal forces.
First, let's find the angle that the 2.0nC charges make with the horizontal.
[tex]tan^{-1}(\frac{2}{3}) = 33.69^o[/tex]
Now, we can plug this value of the angle into sine to find the vertical component of the force.
[tex]F_E(vertical) = F_E sin\theta = F_E sin(33.69) = 1.53 * 10^{-5} N[/tex]
Since there are two charges and the other has the SAME charge, we can simply double this quantity.
[tex]F_E (\text{vertical, total}) = 3.07 *10^{-5} N[/tex]
So, for the -2.0 nC charge to be in equilibrium, the 'q' charge must produce an electrostatic force that is equal to the above total.
[tex]F_E = \frac{kq_1q}{r^2}[/tex]
Rearrange to solve for q.
[tex]q = \frac{r^2 F_E}{kq_1}[/tex]
Plug and solve.
[tex]q = \frac{(0.02^2) (3.07*10^{-5})}{(8.99*10^9)(2.0*10^{-9})}} = 6.83*10^{-10} C[/tex]
So:
[tex]\large\boxed{q = 6.83*10^{-10} C = 0.68 nC}[/tex]
A student applies a force F at an angle of θ below the horizontal to a 50 kg desk, which causes the desk to move across the room at a constant speed.
Angle θ= 20 Degrees
Force= 200 N
Draw and label an appropriate force vector diagram for the desk.
What is the weight of the desk?
What is the magnitude of the normal force acting on the desk?
What is the magnitude of the friction force acting on the desk?
The magnitude of the weight, normal and friction forces are 490N, 455N and 16.66N respectively.
The force applied by the student at the angle of 20 degrees has a magnitude of 200N.
The desk is moving across the room with a constant speed.
The mass of the desk is Kg.
The weight of the desk is given by,
W = Mg
Where,
g is acceleration due to gravity.
Putting values,
W = 50 x 9.8
W = 490N.
The magnitude of the normal force is given by,
N = WcosA
Where,
A is the angle with x-axis.
Putting values,
N = 490 x cos(20)
N = 455N.
The magnitude of the Friction force is given by,
F = W x sin(20)
F = 490 x 0.34
F = 16.66N.
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umama wants to enable user experience virtualization (ue-v) by configuring group policy settings. two important settings that she needs to configure are the setting storage location and settings template catalog location. which of the following is true of this scenario?
Correct. When new user profiles are created, the default profile is utilised. Umama wants to configure Group Policy settings to enable User Experience Virtualization (UE-V).
UEV policy settings: What are they?You can enable or disable User Experience Virtualization using this Group Policy setting (UE-V). Only versions of UE-V 2.x and earlier are affected by this setting. Use the Enable UE-V setting in Wind ows 10, version 1607, for UE-V. The location of the settings template catalogue and the location of the settings storage location are two crucial settings that she must set up.
Microsoft User Experience Virtualization: What is it?A programme called Micro soft UE-V (User Experience Virtualization) enables users to switch between Wind ows devices while keeping their current operating system (OS) and application settings.
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calculate the molar mass of the unknown gas. (remember that the faster the rate of effusion, the shorter the time required for effusion of 1.0 l ; that is, rate and time are inversely proportional.) express your answer using two significant figures.
It is possible to determine that the unknown gas has a molar mass of 555.6 g/mol from Graham's law of effusion.
We are given that,
The molar mass of gas 1= M₁
The molar mass of gas 2= M₂
Rate1 = 1.0 L/30s
Rate2 = 1.0 L/125s
Here, rate 1 represents the first gas's effusion rate and rate 2 represents the second gas' effusion rate. Graham's law of effusion is stated that can be written as,
(M₂/M₁)1/2 = Rate1/Rate2.
Rate1/Rate2 = (M₂/M₁)1/2
(1/30)/(1/125)=[(M₂/(32.0g/mol)1/2]
M₂₂ = 555.6g/mol
As a result, the unknown gas has a molar mass of 555.6 g/mol.
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Two blocks, with masses indicated in the figure above, are at rest on a horizontal surface and connected by a string of negligible mass and a compressed spring. There is negligible friction between the blocks and the surface. The string is cut, and the spring pushes the blocks away from each other. Which of the following statements are true about the motion of the blocks immediately after the string is cut? select two answers.
1. The velocity of the center of mass of the two-block system is zero.
2. The magnitude of the acceleration of the left block is greater than that of the right block.
The center of mass, or balancing point, of a distribution of mass in space is the only location where the total of the weighted relative positions of the distributed mass equals zero. In order to accelerate linearly without also accelerating angularly, a force might be applied at this moment. Using the center of mass as a reference point simplifies calculations in mechanics quite a bit. To imagine how an object would move, one can imagine a hypothetical location where the object's total mass is concentrated. To apply Newton's equations of motion to a particular object, the center of mass is the particle equivalent of that thing.
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Elcft parallelepiped is in an electric field which to the left of the dashed line; has the value Eleft =< -55.37,0,0 > N/C,and Eright =< 55.37,0,0 > N/C to the right of the dashed line_ The top and bottom of the parellelepiped are rectangles Iying in the = plane, and measure /1 by l2, as shown: The left and right faces are rectangles inclined by an angle 0 = 83.489 from the € axis, and measure lz by l3. The values Of L1,l2, and l3 are 23.82 cm, 11.27 cm, and 32.48 cm, respectively. What charge is contained inside the parallelepiped?
There is a net flux going into the surface, the parallelepiped must have a net charge (negative charge). Additionally, without an external field, all lines would point at the slab.
Six parallelograms come together to form a three-dimensional shape called a parallelepiped (the term rhomboid is also sometimes used with this meaning). It is comparable to a parallelogram in the same way that a cube is comparable to a square. There are three similar descriptions of a parallelepiped. A prism with a parallelogram-shaped base, a hexahedron with three pairs of parallel faces, and a polyhedron with six faces, each of which is a parallelogram.
There are pairs of parallel and congruent faces. The parallelepiped has twelve (12) edges and eight (8) vertices. The edges of the parallelepiped can be split into three (3) sets of four (4) edges each, where the edges in each set are all parallel and the same length. The parallelepiped is also a zonohedron.
A parallelepiped is a three-dimensional object having six faces and a parallelogram-like design. It has 8 vertices, 6 faces, and 12 edges. The parallelepiped is also known by the names rhombic, cuboid, and cube.
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find the finel angular velocity (w) when the intial angular velocity(w) is 5rad/s the Angular acceleration is 2rad/s² and the time of motion is 5sec
Answer:
15 rad/s
Explanation:
Given:
α = 2 rad/s²
ω₀ = 5 rad/s
t = 5 s
Find: ω
ω = αt + ω₀
ω = (2 rad/s²) (5 s) + (5 rad/s)
ω = 15 rad/s
Zach, whose mass is 70 kg, is in an elevator descending at 12 m/s.The elevator takes 3.0s to brake to a stop at the first floor.
a. What is Zach's apparent weight before the elevator startsbraking ?
b. What is Zach's apparent wight while the elevator is braking?
Zach's apparent weight before the elevator starts breaking is 686 N.
Zach's apparent weight while the elevator starts breaking is 966 N.
Given that, mass of Zach = 70 kg
His weight W = mg = 70* 9.8 = 686 N
If the elevator is going down at a constant velocity then, acceleration is zero and the apparent weight before braking is 686 N.
v = u + a * t
where,
t = Time taken
u = Initial velocity
v = Final velocity
a = Acceleration
Making a as subject from the above equation,
Acceleration a = (v - u)/t = (0-12)/3 = -4 m/s²
While the elevator is braking it has acceleration -4 m/s².
W = m ( g - a) = 70 (9.8 - (-4)) = 70(9.8 + 4 ) = 966 N
The apparent weight of Zach is 966 N.
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sphere a has mass m and is moving with velocity v. it makes a head-on elastic collision with a stationary sphere b of mass 2m. after the collision their speeds (va, vb) are:
When a ball of mass m elastically collides with mass 2m, momentum and kinetic energy are conserved.
We know that,
Momentum Conservation:
mv+ 0= m(va)+ 2m(vb)......(a)
m(v)=m(va+2vb)
=> v= va+ 2vb
We know that,(a+b)2=a2+b2+2ab
Then,
(va+2ab)2=va2+4ab2+4(va×vb)
Squaring both sides gives v2= va2+4vb2+4(va×vb).....(1)
Kinetic conservation of energy
mv2=mva2+2mvb2
v2=va2+2vb2.....(2
Subtracting 2 from 1 gives
vb=-2va
Substituting into (a), we get
v a=-v/3
v b=2v/3
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