Given the value of possible error, the relative error of the measurement is 0.0095.
Given the data in the question;
Measurement taken; [tex]m = 4.2cm[/tex]Absolute or possible erorr; [tex]e = 0.04m[/tex]Relative error; [tex]RE = \ ?[/tex]Relative ErrorRelative error is simply the ratio of the absolute or possible error of a measurement to the measurement its self.
Relative error is expressed as;
[tex]RE = \frac{e}{m}[/tex]
Where e is the absolute or possible error and m is the measurement being taken.
To determine the relative error, we substitute our given values into the expression above.
[tex]RE = \frac{0.04cm}{4.2cm} \\\\RE = 0.0095[/tex]%
Therefore, given the possible error, the relative error of the measurement is 0.0095.
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A series RLC circuit attached to a 120 V/60 Hz power line draws 2.80 A of current with a power factor of 0.830. What is the value of the resistor?
The value of the resistance of the series RLC circuit attached to a 120 V/60 Hz power line is 35.57 ohms.
What is power factor of RLC series circuit?The power factor of RLC series circuit is determined from the ratio of resistance to the total impedance of the circuit.
Pf = R/Z
0.83 = R/Z
where;
R is the resistance of the circuitZ is the impedance of the circuitZ = V/I
0.83 = R/(V / I)
0.83 = (RI) / (V)
RI = 0.83V
R = 0.83V/I
R = (0.83 x 120) / (2.8)
R = 35.57 ohms
Thus, the value of the resistance of the series RLC circuit attached to a 120 V/60 Hz power line is 35.57 ohms.
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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.
Which example is an abiotic factor of an aquarium environment?
Answer:
See Explanation
Explanation:
salt, water, rocks, sediment, trash.
Abiotic factors are non-living organisms in an ecosystem.
Hope this helps and have a nice day
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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If the error in the angle is 0.50, the error in sin 90o is
At the given erro in angle, the error in the measurement of sin 90 degrees would be 0.001.
Percentage errorThe percentage error of any measurement is obtained from the ratio of the error to the actual measurement.
The error of sin 90 degrees is calculated as follows;
sin 90 = 1
error in measurement = sin(90 - 0.5)
error in measurement = sin(89.5) = 0.999
Error in sin 90 degreesError in sin 90 degrees = 1 - 0.999
Error in sin 90 degrees = 0.001
Thus, at the given erro in angle, the error in sin 90 degrees would be 0.001.
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Suppose two cars collide with each other
How can you minimize the danger to the passengers of the colliding cars?
Use the conservation of momentum to answer the question
We can minimize the danger to the passengers of the colliding cars by slowing down the car, by use airbag and other safety measures.
What is collision?The abrupt, violent coming together in direct contact of two bodies is known as the collision.a falling object and a floor are examples of collision.
When the distance between two ships decreases while the bearings remain constant, a collision occurs.
If you can't discover an exit route and are almost certain to collide with anybody, you must slow down considerably. Any decrease in speed will lessen the harm to you, your vehicle, and your riders.
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
By the law of conservation of momentum, we understand the momentum get conserved. So we can find the collision velocity and reduces the chances of collision.
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An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. If the maximum tension the rope can withstand before breaking is 100 N, what is the maximum tangential speed the ball can have?
Answer:
1kg is the answer i think
I NEEEEEEEEEEEEEEEEEED Help:(
Answer:
C. Light rays are bent by the water in the glass
Explanation:
That's the way science works and I learned about this before in class.
The Borg Scale uses a perceived exertion rating of
A. 1-10
B.6-20
C. 100-200
D. 15-30
Answer:
A. 1-10
Explanation:
not sure..
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
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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two 75.0-N forces act on an object at right angles to each other. what is the magnitude of the resultant of these two forces? what is the magnitude of their equilibrant
Answer:
Sine they are at right angles to each other, therefore “theta”= 90°. Using our cosine rule to look for our resultant force.
Explanation:
A^2=B^2+C^2 - 2BC COSthetha
A=resultant force; B=3N; C=4N; COS90=0.
A^2=3^2+4^2 - 2×3×4×0
A^2=9+16–0
A^2=25
A=√25
A=5N.
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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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.
Describe the unique characteristics of fluids
ANS:-
The characteristics of fluid are as given below:
densitypressureviscositycompressibility#HOPE IT HELPED YOU#
compressibility, pressure, buoyancy, viscosity, and surface tension are characteristic of a fluids.
What is fluid ?Fluid is a material which can flow. gas and liquid is called as fluid. If a fluid is not compressible and it has zero viscosity it is considered an ideal fluid.
Fluids have no definite shape.
it has many characteristics,
Compressibility, different fluids have different compressibility, only gas is compressible, liquids are incompressible.
Pressure - all flued have pressure associated with them, when a gas is enclosed in a box, gas molecule have kinetic energy which collides on the wall of the box and pressurize it. Flowing water have pressure.
buoyancy - when a small object is falling in the flued a force called buoyance force is acted upon it which opposes falling motion.
Viscosity - it is relative motion between two adjacent layer, each liquid has different viscosity.
surface tension - it is the force per unit tangential line on the region which acts as stretched membrane.
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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
help please! (edge physics b - waves and diffraction)
#1
Use trigonometry to find defraction angle
B=25H=50So
cosA=B/HcosA=25/50cosA=1/2A=cos^{-1}(1/2)A=π/3 or 60°#2
In radians it's π/3In degrees it's 60°What does least count of screw gauge mean?
Answer:
Least count of a screw gauge is the minimum length that we can measure using a screw gauge. We can measure the least count of the screw gauge by measuring the pitch of the screw gauge and the number of divisions on the circular scale.
Answer:
The minimum amount of value or number which can be measured by a screw gauge is called its least count or L.C
Explanation:
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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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 JChoose the answer choice that BEST completes the following sentence:
The
of the Sun is the interior or center part of this star.
O Radiative Zone
O Core
O Convective Zone
O Photosphere
The core of the Sun is the interior or center part of this star.
The features of the sunThe sun is one of the stars of the solar system that gives life to the planet earth. All the other planets revolves round it.
The features of the sun include the following:
sunspots, solar prominences, solar flares, and coronal mass ejections.The sun is also made up of several parts which include:
Hydrogen and helium.The core,The radiative zone,The convective zone, and The photosphere.The innermost or central part of the sun is the core that is made up of the highest amount of hydrogen atoms.
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what happens to the resistance of two resistors when connected in parallel circuit
A stroboscope is set to flash every 6.55 ✕ 10−5 s. What is the frequency (in Hz) of the flashes?
Answer:
15 267 times per second
Explanation:
1 / ( 6.55 x 10 ^-5) = 15 267 Hz
26. 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
state 2 factors that determines the height to which a force pump can lift water
Answer:
Explanation:
mass of the water and power of the pump
mass of the water and power of the pump determines the height to which a force pump can lift water.
How Does a Hydro Pump Work?To operate the forced pump, the user pushes a lever or handle on the ground. When the handle is pushed, the downhole cylindrical piston is pushed down into the well. As the piston passes through the water, it is pushed around the sides of the piston.
In addition to the fuel, the suction pump also supplies pressure. This allows the injector to pressurize the fuel more efficiently and prevent the engine from "starving". Without a suction pump, the injection pump would have to spend more time drawing fuel from the tank itself and pressurizing it before supplying it to the engine.
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What is temporary magnet ?
Explanation:
Temporary magnets are the magnets made of comparatively softer ferrous or irons.They are used because of their ability to magnetize easily and faster.They are useful until the magnetic flow is continuing else they become useless
The ability of the medium to refract light rays?
Light Density
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area}} [/tex] ~←(>▽<)ﾉ
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 skier starts from rest and slides 9.0 m down a slope in 3.0 s. Assuming constant acceleration, in
what time after starting will the skier acquire a speed of 24 ms?
Answer:
3 seconds
Explanation:
initial velocity = 0ms
final velocity = 24ms
time(1) = 3s
acceleration = ?
time (2) =?
solution:-
to find acceleration,
a =( vf - vi ) / t
= 24-0 /3
= 24/ 3
a= 8ms^-2
To find time(2)
t= (vf - vi )/ a
= 24- 0 / 8
= 24/ 8
= 3seconds
From a graph v1 = 0.4m/s, v2 = 2.35m/s, t1 = 0.5s, t2 = 10.0s. The slope obtained using the above information is
The slope of the velocity - time graph from the given data point is 0.21 m/s².
Slope of velocity - time graphAcceleration is the rate of change of velocity with time. The slope of velocity - time graph is accelertion.
a = Δv/Δt
where;
a is accelerationΔv is change in velocityΔt is change in timeChange in velocityΔv = v₂ - v₁
Δv = 2.35 - 0.4
Δv = 1.95 m/s
Change in timeΔt = t₂ - t₁
Δt = 10 - 0.5
Δt = 9.5 s
Slope of the grapha = Δv/Δt
a = 1.95/9.5
a = 0.21 m/s²
Thus, the slope of the velocity - time graph from the given data point is 0.21 m/s².
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With the use of formula, the slope of the graph is 0.21 m/[tex]s^{2}[/tex]
SLOPEThe slope M of a graph is the gradient of the graph.
The formula for calculating slope M is;
M = [tex]\frac{V_{2} - V_{1} }{t_{2} - t_{1} }[/tex]
From a graph it is given that
v1 = 0.4m/s v2 = 2.35m/s t1 = 0.5s t2 = 10.0s.The slope obtained using the above information can be calculated by using the formula above
M = (2.35 - 0.4) / ( 10 - 0.5 )
M = 1.95 / 9.5
M = 0.205 m/[tex]s^{2}[/tex]
Therefore, the slope of the graph is 0.21 m/[tex]s^{2}[/tex] approximately
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