Hi there!
Recall that the amplitude of an oscillating system occurs at a point of maximum potential energy.
For a spring system, potential energy is given as:
[tex]U = \frac{1}{2}kx^2[/tex]
U = Potential Energy (J)
k = Spring constant (N/m)
x = amplitude (m)
We can rearrange the equation to solve for amplitude more easily.
[tex]U = \frac{1}{2}kx^2\\\\2U = kx^2\\\\x^2 = \frac{2U}{k}\\\\x = \sqrt{\frac{2U}{k}}[/tex]
If we double 'U':
[tex]x' = \sqrt{\frac{2(2U)}{k}} = \sqrt{2}*\sqrt{\frac{2U}{k}}\\\\x' = \sqrt{2} * x[/tex]
Thus, the new amplitude would be √2 times greater, so:
[tex]20 cm \cdot \sqrt{2} = \boxed{28.284 cm}[/tex]
The turn signal belongs to which subsystem of an automobile?
A.
transmission
B.
fuel
C.
suspension
D.
control
The turn signal belongs to the control subsystem of an automobile.
What turn signal ?Turn signals serves as the control that help motorists to react and plan for road user making a turn in front of them.
This is part of the subsystem of an automobile. which help to maintain the best driving experience on the road.
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A bullet having the mass of 110g is fired. If it's velocity is 50m/s, calculate the kinetic energy
[tex]\text{Kinetic energy,}\\\\E_k = \dfrac 12 mv^2\\\\~~~~~=\dfrac 12 \cdot 110 \times 10^{-3} \cdot 50^2\\\\~~~~~=137.5~ \text{J}[/tex]
Answer: 137.5 Joules
Explanation:
The SI units for kinetic energy is Joules, the SI units for mass is kilograms, and the SI units for velocity is meters per second. We are given the mass in grams, so we must convert it to kilograms. There are 1,000 grams in 1 kilogram:
[tex]110g*\frac{1kg}{1000g} =0.11kg[/tex]
Kinetic energy is the energy the system has due to its motion. It is defined to be:
[tex]KE=\frac{1}{2} mv^2[/tex]
Plug everything in:
[tex]KE=\frac{1}{2} (0.11kg)(50m/s)^2[/tex]
[tex]KE=137.5J[/tex]
An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2020 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals).
One of the survey questions was, "During the average workday, how many hours do you spend attending meetings?" For the subsample of legal professionals (n = 200), the mean response was M = 2.0 hours, with a sample standard deviation of s = 5.1 hours.
The estimated standard error is = 0.323.
The psychologist can be 99% confident that the interval from _____ to _____ includes the unknown population mean µ.
Based on the research data, the psychologist can be 99% confident that the interval from 1.07 to 2.94 includes the unknown population mean µ.
What is confidence Interval?A confidence interval is a range of values within which a researcher can be fairly certain that the true value of the mean can be found.
The confidence Interval of the survey above is calculated using the formula:
[tex] x ± z( σ/√n)[/tex]
where
x is the sample mean,σ is the population standard deviation,n is the sample size, and z is the z-value for the selected confidence level.From the data provided;
x = 2.0
σ = 5.1
n = 200
z = 2.576 for 99% confidence
Therefore, the confidence Interval is:
[tex] 2.0 ± 2.576( 5.1/√200)[/tex]
Confidence interval = 2.0 ± 0.93.
Therefore, the psychologist can be 99% confident that the interval from 1.07 to 2.94 includes the unknown population mean µ.
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What is a longitudinal wave?
The matter through which a mechanical wave travels
The particles of a medium that travel parallel to a wave
The particles of a medium that travel perpendicular to a wave
Two lines that meet at a right angle
Answer:
b
Explanation:
Source is parallel to the propagation.
A light plastic cart and a heavy steel cart are both pushed with the same force for 1.0 s, starting from rest. After the force is removed, the momentum of the light plastic cart is ________ that of the heavy steel cart.
Answer:
my friend give options .............
A particle with a charge of +8nC is in a uniform electric field directed to the left. It is released from rest and moves to the left. After it as moved 3cm, its kinetic energy was found to be 5x 10^(-4) J. What work was done by electric force?
The work done by the electric force of the charge is equal to the change in kinetic energy, equal to 5x [tex]10^{-4}[/tex] J.
What is the work-energy theorem?The work done by the body in motion is equal to the change in kinetic energy or the difference between the final and initial kinetic energy.
[tex]W=[/tex]Δ[tex]K.E=K.E_{f} -K.E_{i}[/tex]
Given, the kinetic energy found when the charge has moved 3 cm is 5x [tex]10^{-4}[/tex] J.
Therefore, work done by the electric force, [tex]W=[/tex] 5x [tex]10^{-4}[/tex] J.
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my son needs help the question is What is the Law of Conservation of Mass and Energy
Answer:
Explanation:
The total amount of mass and energy in the universe is constant.....energy may change to mass and mass may change to energy, but the total is a constant.
What is the rate of acceleration if the object has a force of 857 N and a mass of 8000 kg
If an ice skater pulls their hands towards their body, will their angular momentum and kinetic energy both increase?
Answer:
The angular momentum depends on both the angular velocity and the mass distribution of the object. You can change this angular momentum by exerting a torque (a twisting force)—but with no external torque, the angular momentum is conserved. Now getting back to the ice skater.
Consider a particle of mass m acted on by a force F in an inertial frame.Prove that dK=F× ( d×r), where d×r is the change in position vector of a particle in a time d×t, and d×K is the corresponding change in the kinetic energy K=1÷2(mv²)
From the change in the kinetic energy of the particle, the force that acted on the particle from an inertial frame is proved as F(dr) = dK.
Kinetic energy of the particle
The kinetic energy of the particle is given as;
K.E = ¹/₂mv²
dK/dv = mv
m = dK/vdv
Force on the particleThe force on the particle is given by Newton's second law of motion;
F = ma
a = dv/dt
F = m(dv/dt)
F = (dK/vdv) (dv/dt)
F = dK/vdt
F(vdt) = dK
v = dr/dt
F (dr/dt) x (dt) = dK
F(dr) = dK, proved
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find the potential,electric field,charge density.
Answer:
The answer is Model the charge distribution as the sum of infinitesimal point charges, dq, and add together the electric potentials, dV, from all charges, dq. ...
Calculate the electric field (either as a integral or from Gauss' Law), and use: ΔV=V(→rB)−V(→rA)=−∫BA→E⋅d→r.
Explanation:
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The term 'recruitment' refers to the process by which people decide on the kinds of
environments they will join.
True
False
The force acting on a body of mass 200 g is equal to 0. Determine the velocity of the body 3 seconds after the start of the observation, if at the initial moment of the observation its velocity is 5 m / s?
Answer:
5 m/sExplanation:
Formula (Force)
F = maBut, a = v - u / t [First Equation of Motion]F = m (v - u / t)We have the values of :
F = 0m = 200 g = 0.2 kgt = 3 su = 5 m/sSubstitution
0 = 0.2 (v - 5 / 3)v - 5 / 3 = 0v - 5 = 0v = 5 m/s26. What is the difference between an input force and output force?
Answer:
input force is force applied to overcome the load and the output force is the force overcome by the effort
Explanation:
effort is equal to input and load is equal to the output
PLEASE HELP
Which of the following is an example of a chemical reaction?
hydrogen peroxide and yeast are combined, producing lots of bubbles and heat
atoms of silver are bonded together to make a silver nugget
heat is applied to melt chocolate chips
red and blue paints are mixed to make purple paint
An electric space heater is connected across a 120 V outlet the heater dissipates 1320 W of power in the form of electromagnetic radiation and heat calculate the resistance of the heater
The resistance of the electric space heater dissipating the given amount of power is 10.9Ω.
Ohm's lawOhm's law states that "the voltage across the cross-section of a conductor is directly proportional to the current passing through it.
It is expressed as;
V = I × R
Where V is voltage, I is current and R is resistance.
Also, electrical power is the product of current and voltage.
P = I × V meaning I = P/V
Hence,
V = (P/V) × R
R = V² / P
Given the data in the question;
Voltage V = 120VPower P = 1320WResistance of the heater R = ?To determine the resistance of the heater, we substitute our given values into the derived expression above.
R = V² / P
R = (120V)² / 1320W
R = 14400V² / 1320W
R = 10.9Ω
Therefore, the resistance of the electric space heater dissipating the given amount of power is 10.9Ω.
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You are in a car traveling at 25.6 m/s. A second car is moving toward you at the same speed. Its horn is sounding at 482 Hz. What frequency do you hear to two decimal places?
Answer: Let the speed of sound equal 331 m/s
f = f0 ( (V ± Vo) / V) observer moving
f = 482 (331 + 25.6) / 331 = 519 /s (observer moving towards source)
f = 519 (331 / (331 - 25.6) = 563 / s (source moving towards observer)
Check: For both moving:
f = f0 ((331 + 25.6) / (331 - 25.6)) = 1.17 f0 = 482 * 1.17 = 563 / s
A box shaped wooden stove has dimensions of 0.75 m *1.2 m*0.4 m. An emissity of 0.85 and surface temperature of 205 degrees Celsius. Calculate it's rate of radiation into surrounding space
The rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.
Rate of radiation of the wooden stove
The rate of radiation of the wooden stove is calculated as follows;
P = εAσT4
Where:
ε is emissivity of the SurfaceA is surface Areaσ is Stefan-Boltzmann Constant, 5.67 x 10⁻⁸ W/m²K⁴T is temperature in Kelvin, 205 ⁰C = 205 + 273 = 478 KSurface area of the boxA = 2(Lw + Lh + Wh)
A = 2(0.75 x 1.2 + 0.75 x 0.4 + 1.2 x 0.4)
A = 3.36 m²
P = 0.85 x 3.36 x (5.67 x 10⁻⁸) x (478)⁴
P = 8,453.82 J/s
Thus, the rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.
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Look at the image below. Because the atoms of these noble gases have stable arrangements of electrons, the elements are all __________. What is the missing word?
The atoms of these noble gases have stable arrangements of electrons, the elements are all inert.
What are inert gases?The term inert gases has to do with those gases that are not reactive. The atoms of these elements have a complete octet of electrons hence they are unreactive.
As such, the atoms of these noble gases have stable arrangements of electrons, the elements are all inert.
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Which statement is the best description of force?
Answer:
it is a push or pull
Explanation:
short and best description
Answer:
A force is a push or pull upon an object resulting from the object's interaction with another object.
or
push or pull.
Explanation:
a coil of standard annealed copper having a resistance of 50 ohms at 15° is embedded in the core of a large transformer after the transformer has been in operation for several hours the resistance of the material is measured as 58 ohms determine its temperature the temperature coefficient of resistance of the conductor material is 0.04 250 degree celsius at 0 degrees Celsius.
determine its temperature?
The temperature of the transformer after the transformer has been in operation for several hours at the given resistance is 21.2 degrees Celsius.
Relationship between resistance and temperature
The relationship between resistance and temperature is given as;
R = R₀( 1 + αΔθ)
From the first resistance, we will have the following equation,
R₁ = R₀( 1 + αΔθ)
50 = R₀(1 + 15α) ------ (1)
From the second resistance, we will have the following equation,
58 = R₀(1 + αT) ------ (2)
Divide (1) by (2)
[tex]\frac{50}{58} = \frac{R_0(1 + 15\alpha)}{R_0(1 + T\alpha)} \\\\\frac{50}{58} = \frac{(1 + 15\alpha)}{(1 + T\alpha)} \\\\50(1 + T\alpha) = 58(1 + 15\alpha)\\\\50 + 50T\alpha = 58 + 870\alpha \\\\50(0.0425)T = (58- 50) + 870(0.0425)\\\\2.125T = 44.975\\\\T = 21.2\ ^0C[/tex]
Thus, the temperature of the transformer after the transformer has been in operation for several hours at the given resistance is 21.2 degrees Celsius.
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SOMEONE PLS HELP THANK YOU
Does magnitude effect the strength of attraction more than distance?
Or
Does distance effect the strength of attraction more than magnitude?
Explanation:
Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects. And decreasing the separation distance between objects increases the force of attraction or repulsion between the objects.
A police car siren emits a frequency of
2010 Hz when stationary. Another car
hears a 1920 Hz sound when it drives
away from the stationary police car.
How fast is the second car driving?
(Speed of sound = 343 m/s)
(Unit = m/s)
Speed of second car will be 15.35 m/s
What is Doppler effect ?The Doppler effect is the apparent change in frequency of a wave when the observer and the source of the wave move relative to each other.
f0= observed frequency = 1920 Hz
v = speed of source = 343 m/s
v0 = speed of observer = ?
fs = frequency of source = 2010 Hz
from Doppler effect
f0 = (v -v0 / v) * fs
1920 / 2010 = (343 - v0)/ 343
(192/ 201) * 343 = 343 - v0
v0 = (343 * 9) / 201 = 15.35 m/s
Speed of second car will be 15.35 m/s
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Which of the following mathematical operations are and are not not allowed on two quantities with different unit dimensions?
A) Allowed : Multiplication, Division, Equality , Not Allowed : Addition, Subtraction
B) Allowed : Addition, Subtraction , Not Allowed : Multiplication, Division, Equality
C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality
D) Allowed : Addition, Multiplication , Not Allowed : Subtraction, Division, Equality
E) Allowed : Addition, Subtraction, Equality , Not Allowed : Multiplication, Division
The following mathematical operations are and are not allowed on two quantities with different unit dimensions are C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality
To answer the question, we have to know what mathematical operations are.
What are Mathematical operations?Mathematical operations are operations which are performed to change the value of a variable. The arithmetic mathematical operations we have are
addition, subtraction, multiplication, subtraction and equality which shows the relationship between two quantities.Now, for two quantities with different unit dimensions, addition, subtraction and equality are not allowed because these mathematical operations require the quantities to be in the same unit dimensions
Also, for two different quantities with differnt unit dimensions, multiplication and division are allowed because these mathematical operations do not require the quantities to be in the same unit dimensions.
So, the mathematical operations that are allowed are multiplication and division while the mathematical operations that are not allowed are addition, subtraction and equality.
So, the following mathematical operations are and are not allowed on two quantities with different unit dimensions are C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality
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What initial speed is required for a 1 m (39.4”) vertical jump?
Answer: 4.4m/s
Explanation:
What is the density of the unknown liquid?
The density of the unknown liquid is 650.67 kg/m³
Determine the density of the unknown liquidFirst step : determine the mass in air
The Tension in air = mg
therefore Mass in air ( m ) = Tension in air / g
= 3.78 kg
Considering Tension in water
T = 29.6 N
29.6 = 4/3 * πR³ * ( р - б ) g ----- ( 1 )
where : р = mass density, б = water density
Considering Tension in other liquid
T = 19.1 N
19.1 = 4/3 * πR³ * ( р - б' ) g ------ ( 2 )
Final step : Determine the density of the unknown liquid
Divide equation ( 1 ) by equation ( 2 )
1.54 = ( р - б ) / ( р - б' )
0.54 р + б = 1.54 * б'
therefore ( б' ) density of uknown liquid
= 650.67 Kg/m³
Hence we can conclude that The density of the unknown liquid is 650.67 kg/m³
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Changes of state
Study the heating curve shown.
Which statement is best supported by the information in
the heating curve?
Heating Curve of a Substance
T
U
O At segment T-U, the substance changes from a liquid
to a gas and does not change temperature.
At segment T-U, the substance changes from a gas
to a liquid and changes temperature.
O At segment Q-R, the substance releases heat and
increases in temperature.
O At segment Q-R, the substance absorbs heat and
decreases in temperature.
Temperature (Cº)
R
20
s
o
Heat Added (J)
Answer:
liquid to a gas and doesn't change T
Explanation:
that part of the line has no slope
Answer:
A. At segment T-U, the substance changes from a liquid to a gas and does not change temperature.
Explanation:
are cells smaller and simpler than either tissues or organs
Answer:
yes
Explanation:
tissues and organs are made of cells therefore cells have to be smaller and simpler
A ball with a mass of 15kg sits at rest on
top of a tall 5m table. What is the
gravitational potential energy of the ball?
a
Answer:
735 J
Explanation:
Formula
Gravitational Potential Energy (GPE) = mgh
Given
m = 15 kgh = 5 mg = 9.8 m/sSolving
GPE = 15 x 5 x 9.8GPE = 75 x 9.8GPE = 735 JHow might a quota on foreign cars affect US economy?
Answer:
The numerical limits imposed on imported goods through quotas ultimately leads to higher prices paid by consumers. Essentially, the import quota prevents or limits domestic consumers from buying imported goods. The import quota reduces the supply of imports.
Explanation: