Answer:
6.67 cm
Explanation:
Given
h (image) = 4 x h (object)Finding magnification
m = h (image) / h (object)m = 4 x h (object) / h (object)m = + 4.0Finding image distance
m = - (image distance / object distance)4 = - (v / 5)4 = -v/5v = -20v = -20 cmMirror formula
1/f = 1/v + 1/uSolving
1/f = 1/-20 + 1/51/f = -1 + 4/201/f = 3/20f = 20/3 cmf = 6.67 cmWhat initial speed is required for a 1 m (39.4”) vertical jump?
Answer: 4.4m/s
Explanation:
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
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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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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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
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 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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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 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
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:
Choose 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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The ability of the medium to refract light rays?
Light Density
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area}} [/tex] ~←(>▽<)ﾉ
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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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 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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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
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.
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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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 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 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:
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°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.
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 JWhich 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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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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How 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:
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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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.