The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s
Given data :
Distance of star from earth = 4.3 light years
Observers time = 3.7 years
Determine the constant velocity the spacecraft must travelObservers time = 3.7 * 365 * 24 * 60 * 60
Distance of star from earth = 4.3 * 9.46 * 10¹⁵
The velocity the spacecraft must travel will be calculated using the equation
V = distance / time
= ( 4.3 * 9.46 * 10¹⁵ ) / ( 3.7 * 365 * 24 * 60 * 60 )
= 3.49 * 10⁸ m/s
Hence we can conclude that The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s
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Attached below is the missing detail related to the question
The constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
Distance of earth from stars = 4.3 light year
The given time = 3.7 year
One year converted into the second as;
[tex]\rm 1 \ year = 3.7 \times 365 \ days \ \times 24 \ hour \times 60 \ minute \times 60 \ sec \\\\ 1 year = 116 \times 10^6 \ sec[/tex]
1 light-year into a kilometer as;
[tex]\rm 4.3 \ light year = 4.3 \times 9.46 \times 10^{15 metre} \\\\[/tex]
At what constant velocity must a spacecraft travel from the earth if it is to reach the star in 3. 7 years,
The velocity of the spacecraft's travel from the earth will be;
[tex]\rm V = \frac{d}{t} \\\\ V= \frac{4.3 \times 9.46 \times 10^{15}}{3.7 \times 365 \times 24 \times 60 \times 60 } \\\\\ V= 3.49 \times 10^8 \ m/sec[/tex]
Hence the constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.
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A 1. 5-kω resistor and 27. 7-mh inductor are connected in series to a vrms = 120 v ac power source oscillating at a frequency of f = 60 hz. The voltage as a function of time is given by
The voltage as a function of time for the power source oscillating at the given frequency is determined as V = 169.7sin(120πt).
Peak voltageThe peak voltage of the source is calculated as follows;
Vrms = 0.7071V₀
120 = 0.7071V₀
V₀ = 120/0.7071
V₀ = 169.7 V
Angular frequency of the waveω = 2πf
where;
f is frequency = 60 Hz
ω = 2π x 60
ω = 120π rad/s
Voltage equation as function of timeV = V₀sin(ωt)
V = 169.7sin(120πt)
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The voltage equation is a function of a time is V = 169.7sin(120πt) if the 1. 5-kω resistor and 27. 7-mh inductors are connected in series to a vrms = 120 v ac power source oscillating at a frequency of f = 60 Hz.
What is induced voltage?Electromagnetic induction causes the induced voltage. Electromagnetic induction is the process of creating emf (induced voltage) by exposing a conductor to a magnetic field.
We have:
[tex]\rm V{rms} = 120[/tex]
We know:
[tex]\rm V_{rms} = 0.7071V_o[/tex]
[tex]\rm 120 = 0.7071V_o[/tex]
[tex]\rm V_o = 169.70[/tex] Volts
Expression for the angular frequency is given by:
ω = 2πf
Where f is frequency
ω = 2π x 60
ω = 120π rad/s
Voltage equation as a function of time is given by:
V = V₀sin(ωt)
V = 169.7sin(120πt)
Thus, the voltage equation is a function of a time is V = 169.7sin(120πt) if the 1. 5-kω resistor and 27. 7-mh inductors are connected in series to a vrms = 120 v ac power source oscillating at a frequency of f = 60 Hz.
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Does the electric potential energy increase, decrease, or stay the same? explain.
Answer:
Yes. To maintain constant total energy, when released from rest the charge loses potential energy as it gains kinetic energy in its "fall" toward the negative plate.
Explanation:
Answer:
Yes. Left. To maintain constant total energy, when released from rest the charge loses potential energy as it gains kinetic energy in its "fall" toward the negative plate.
i need help with this question on circuits!!
Answer:
B
A
A
B
Explanation:
In the wiring of houses, a parallel circuit is used, otherwise, if the circuit of one of the parts is interrupted, the current will not enter the other circuits.
Rectangular plate has a voltage of +180V and plate to the first plate) has a 'voltage of -5V. Determie another rectangular plate (parallel to between these two plates? The distance of the field strength at any point separation of the plates is finite, say 8.6mm.
For a Rectangular plate has a voltage of +180V and a 'voltage of -5V. , the second plate has the Electric field mathematically given as
E=21.5*10^3v/m
What is the field strength?Generally, the equation for the Electric field is mathematically given as
E=v/d
Where
v={180-(-5)}v
v=185v
Therefore
E=185/8.6*10^{-3}
E=21.5*10^3v/m
In conclusion, Electric field
E=21.5*10^3v/m
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A book on a shelf 2.5 m above the floor has a mass of 1.7 kg. What is the gravitational potential energy of the book?
Answer:
42.5J (If g = 10)
41.6925J (If g = 9.81)
41.67975J (If g = 9.807)
Explanation:
Gravitational Potential Energy = Mass X Height X Gravitaitonal Field
Earth's Gravity is = 9.807 m/s^2
It is often rounded to 9.81 or 10
FOR STUDY ISLAND: Objects that stop the flow of electricity are good insulators. Which of the following materials would be the best insulator for an electrical wire?
A.
aluminum pipes
B.
copper wire
C.
plastic tubing
D.
water
Answer: It would be; A/B
On average, what is the thickness of the milky way as seen from earth, measured in degrees?.
Answer:
20-30 degree
Explanation:
the milky is around 20_30 degrees thick in the cygnus region when overhead on a decent night
A car of mass 1500kg is brought to rest from a velocity of 25m/s by a constant force of 3,000N. Determine the change in momentum produced by the force and the time it takes for the car to come to rest.
Answer:
change in momentum = 37,500kg.m/s in the opposite direction
time it takes = 12.5s
Explanation:
u=25m/s
v=0m/s
F=ma
-3000=(1500)(a)
-3000÷1500=a
a= -2m/s^2
Change in momentum=mv-mu
(1500)(0)-(1500)(25)
= -37,500kg.m/s
relax the( - ) represents direction
v=u-at
0=25-2t
2t=25
t= 12.5s
A dense mix of dry, hot rock fragments and hot gas erupting from volcanic vents at high speed is pyroclastic flow. lahar. fumarole. tephra.
Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.
What is magma?Magma is the extremely hot liquid and flows under the surface of the earth. When this liquid comes out to the surface of earth, then called as lava.
Gas bubble, making up to lave are energetic in nature, because they keep on expanding in all directions, they will go all out to the only open are of a volcano, the vent, in an upward direction.
Hence Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.
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An object moving in the xy-plane is subjected to the force f⃗ =(2xyı^ 3yȷ^)n, where x and y are in m
The work done on the object moving in the xy-plane that is subjected to the given applied force is determined as (2ab²i + 3b²j) J.
Magnitude of the force on the objectThe magnitude of the force on the object is calculated as follows;
f = (2xyi + 3yj)
when;
x = a, and y = b
f = (2abi + 3bj)
Work done by the forceThe work done the applied force is the product of force and displacement of the object.
W = fΔs
where;
Δs is displacement of the objectΔx = a - a = 0
Δy = 0 - b = -b
Δs = √(Δx² + Δy²)
Δs = √(-b)²
Δs = b
W = (2abi + 3bj) x b
W = (2ab²i + 3b²j) J
Thus, the work done by the applied force on the object is (2ab²i + 3b²j) J.
The complete question is below;
An object moving in the xy-plane is subjected to the force f = (2xyi + 3yj), where x and y are in m. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis. How much work does the force do?
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The work done on an item moving in the xy-plane that is subjected to a particular force is found as (2ab²i + 3b²j) J.
What is work done?Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.
Work may be zero, positive, and negative.it depends on the direction of the body displaced. if the body is displaced in the same direction of the force, it will be positive.
The given data in the problem is;
F is the force applied; f⃗ = (2xyi + 3yj)
Work done is found as the product of force and the body displacement;
[tex]\rm W = F \triangle S[/tex]
As the object is moving in the xy- plane. Displacement in the x direction;
[tex]\rm \triangle x = a-a \\\\ \triangle x =0[/tex]
Displacement in the y direction;
[tex]\rm \triangle y = 0-b \\\\ \rm \triangle y = -b \\\\[/tex]
The net displacement in the xy plane is;
[tex]\rm \triangle s= \sqrt{(\triangle x)^2+(\triangle y)^2 } \\\\\ \rm \triangle s= \sqrt{(0)^2+(-b)^2 } \\\\\ \triangle s= \sqrt{b^2} \\\\ \triangle s=b[/tex]
The work done is found as;
[tex]\rm W= F \triangle S \\\\ W=( 2 ab \vec i+3b \vec j) \triangle S\\\\ W= W=( 2 ab \vec i+3b \vec j) b \\\\\ W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]
Hence, the work done on an item moving in the xy-plane will be,[tex]\rm W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]
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Distinguish between pressure and force in the case of wang yourself on a common bathroom scale
Answer: hey here's your answer...
Explanation: We can think of a force as a push on a surface, such as the force due to gravity you exert when standing on a bathroom scale. Pressure involves the distribution of force. The scale measures force, not pressure, so your weight reading is the same no matter how you distribute your weight on the scale.
Hope this helps...
Have a nice day-
A wave has a speed of 3.4m/s, if its frequency is 2.5 (Hz). What is the wavelength. Equation:
Speed= wavelength x frequency (Hz)
A. 25m
B. 10m
C. 1.36m
D. 0.73m
Answer:
1.36 meters
Explanation:
we just plug in the values into the formula given in the question
3.4/2.5 = answer
answer is 1.36
What do we call objects that form like a star (from a contracting gas cloud), but do not have enough mass to ignite hydrogen fusion in their centers
A brown dwarf is a starlike body that do do not have enough mass to ignite hydrogen fusion in their centers.
What is a brown dwarf?Brown dwarf refer to a body of substellar that is not huge or big enough to undergo nuclear fusion of o hydrogen into helium in their cores. This formed when there is contraction of gases in the intercellar spaces. The have a mass between 13 to 80 times that of Jupiter.
Therefore, brown dwarf is a starlike body that do don't not have enough mass to ignite hydrogen fusion in their centers.
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How many stars are in a typical spiral galaxy, like our own?.
Answer:
200 billion to 400 billion stars in a typical spiral
Explanation:
hope this helps
have an awesome day -TJ
Complete the mechanism for the given decarboxylation by adding any missing atoms, bonds, charges, nonbonding electrons, and curved arrows
The decarboxylation reaction involves the removal and replacement of a carboxyl group with hydrogen.
What is a decarboxylation reaction?A decarboxylation reaction is one in which the carboxyl group in a carboxylic acid is replaced with hydrogen.
In living organisms, decarboxylation reactions are catalyzed by enzymes called decarboxylases or carboxy-lyases.
The decarboxylation of beta-carbonyl esters proceeds through a cyclic transition state giving an enol intermediate which then tautomerises to the carbonyl.
Therefore, a decarboxylation reaction involves the removal and replacement of a carboxyl group with hydrogen.
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The decarboxylation reaction is given with the removal of the carbon dioxide from the carboxyl group.
What is carboxyl group?The carboxyl group is the attachment of the OH and the =O functional group to the carbon atom.
In the decarboxylation reaction, there has been the removal of the carbon dioxide and the carboxyl group is replaces with the Hydrogen atom.
The decarboxylation reaction for the given reactant with the missing groups is given in the image attached.
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Which image corresponds to what moment in time? (1 point) The low-pitched sound corresponds to the sound source getting closer, its wavelength is longer. The high-pitched sound corresponds to the sound source moving away, its wavelength is shorter. The low-pitched sound corresponds to the sound source moving away; its wavelength is shorter. The high-pitched sound corresponds to the sound source getting closer; its wavelength is longer. The low-pitched sound corresponds to the sound source getting closer, its wavelength is shorter. The high-pitched sound corresponds to the sound source moving away, its wavelength is longer. The low-pitched sound corresponds to the sound source moving away, its wavelength is longer. The high-pitched sound corresponds to the sound source getting closer, its wavelength is shorter.
Answer:
The low-pitched sound corresponds to the sound source moving away; its wavelength is longer. The high-pitched sound corresponds to the sound source getting closer; its wavelength is shorter.
Just took the quiz, and it said this answer was correct.
In this picture, The low-pitched sound corresponds to the sound source moving away; its wavelength is longer. The high-pitched sound corresponds to the sound source getting closer; its wavelength is shorter.
What is wave ?Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.
Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.
There are two types of the wave longitudinal wave and transverse wave.
Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.
Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a Transverse wave.
According to the Doppler's effect, a sound source moves away from the observer its wavelength increases and when it moves towards the observer the wavelength decreases.
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What is the effect of increase in heat on:
1. Plastic
2. Iron
Explanation:
1.Plastic
Thermal Degradation – Plastic materials subjected to prolonged exposure to high temperatures will lose strength and toughness, becoming more prone to cracking, chipping, and breaking, at a rate in proportion to the temperature and time of exposure.
2.Iron
At room temperature, the iron atoms are in an unusual loosely packed open arrangement; as iron is heated past 912 degrees Celsius, the atoms become more closely packed before loosening again at 1,394 degrees Celsius and ultimately melting at 1,538 degrees Celsius
Scientists predict that in another 250 million years, the continents will be located in different positions. How is this possible? *
Answer:
The continents will be in different positions because tectonic plate boundaries are always moving.
a car starts from the rest and accelerates at 9.54m/s for 6.5 seconds. what is the distance covered by the car
Answer:
= 201.53 meters
Explanation:
A car started from rest and accelerated at 9.54 m/s^2 for 6.5 seconds. How much distance was covered by the car?
Use the formula d = [tex]\frac{at^{2} }{2} ,[/tex]
where d is the distance, t is the time and "a" is the acceleration.
[tex]d=\frac{9*54*6*5^{2} }{2} = 201.53 m[/tex]
A proton wit a kinetic energy of 9. 3 x 10^-15 j moves perpendicular to a magnetic field of 0. 87 t. What is the radius of its circular path?
The radius of the given circular path moved by the proton which is perpendicular to a magnetic field of 0.87 T determined as 4 cm.
Magnetic force of the protonThe magnitude of the magnetic force on the proton is determined using the following formula;
F = qvBsin(θ)
Centripetal force on the protonThe centripetal force of the circular path is given as;
F = mv²/r
Solve the two equations together,
[tex]\frac{mv^2}{r} = qvBsin(90)\\\\r = \frac{mv}{qB}[/tex]
Where;
v is the speed of the protonSpeed of the protonThe speed of the proton is determined from its kinetic energy;
[tex]K.E = \frac{1}{2}mv^2\\\\ v= \sqrt{\frac{2K.E}{m} } \\\\v = \sqrt{\frac{2 \times 9.3 \times 10^{-15}}{1.67 \times 10^{-27}} } \\\\v = 3.33\times 10^6 \ m/s[/tex]
Radius of the circular pathThe radius of the circular path is calculated as follows;
[tex]r = \frac{(1.67 \times 10^{-27}) \times (3.33 \times 10^6)}{(1.6\times 10^{-19}) \times (0.87)} \\\\r = 0.04\ m\\\\r = 4 \ cm[/tex]
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Which level instruments operate on the principle of generating a signal and then measuring the time required for the signal to reflect off the process fluid back to the transmitter
One of the most crucial devices for electronics and communication is the signal generator. For several reasons, including testing, debugging, and designing, it is utilized to produce various types of signals and frequencies.
What instruments operate principle of generating a signal?Engineers create electronic signals using signal generators, which can be analogue or digital, to test circuit designs. Signal generators come in a wide variety of forms with various characteristics and uses. The most typical signal generator kinds and their distinctive qualities are listed below.
Therefore, radar level instruments operate on the principle of generating a signal and then measuring the time required for the signal to reflect off the process fluid back to the transmitter.
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A block initially at rest on a horizontal, frictionless surface is accelerated by a constant horizontal force of 5. 0 newtons. If 15 joules of work is done on the block by this force while accelerating it, the kinetic energy of the block increases by.
By the work-energy theorem, the block's kinetic energy is increased by 15 J. The only force performing work on the block is the constant 5.0-N push.
Helppppp
5) Experimental Design Cavendish's homemade apparatus gave him a calculated
value for the Gravitational Constant of 6.74E-11 Nm²/kg? The accepted value today
(with 200 years more advanced technology) is 6.67E-11 Nm²/kg? What sources of
error might Cavendish have had? How might scientists have improved this
experiment over the years.
Answer:
The apparatus would need to be extremely delicate because of the very small values being measured, the gravitational attraction of two massive objects.
(I) the torsion constant, measuring the deflection of massive objects would be very small and difficult to measure accurately
(II) since all surrounding objects are massive, it is difficult to remove the effect of such objects from forces being measured
(III) to consider a massive object as having all of its mass at its center, the massive object would need to be uniform throughout - any nonuniformity of the object would affect the calculations
(IV) all physical measurements would need to be made with utmost accuracy because of the relatively small distances involved with regard to the extremely small force being measured
(V) today laser measurements would assist in measuring small deflections accurately
what is electric charge?
Answer:
Electric Charge is the property associated with matter due to which it produces and experiences electric and magnetic effect
What is the thoery of Newton?
Answer:
apple fall on his head, then he discovers gravity. Law of motion
Explanation:
Answer:
gravity is the theory of Newton.
Explanation:
The reason for this is because one day he was sitting under the apple tree and an apple fell on top of his head. So he wanted to figure out what had caused the apple to fall on his head.
Give two examples that provide evidence for the presence of terrestrial magnetism?
Explanation:
When a magnetic body is buried inside the earth in North-South direction, it gets magnetized due to the effect of terrestrial magnetism. A freely suspended magnet faces North-South direction.
what happens when you put foil in the microwave?
Answer:
The foil makes the microwave spark it can smoke up and catch fie.
Explanation:
-The aluminum foil's sharp edges are what causes the fire, smoke, and sarks.
- Hope This Helps!
-Justin:)
Answer:
itll spark and catch fire
Explanation:
18. Students are discussing the magnitude of the electrostatic force that sphere B exerts on sphere A.
Eva states that sphere B exerts a larger electrostatic force on sphere A than sphere A does on sphere B.
. Taylor states that sphere B exerts the same electrostatic force on sphere A as sphere A does on sphere B.
• Jac states that sphere B exerts a smaller electrostatic force on sphere A than sphere A does on sphere B.
Which student is correct? Give scientific reasoning to support your decision.
she is k bads boy (into negative)
What current is required in the windings of a long solenoid that has 1580 turns uniformly distributed over a length of 0.44 m in order to produce a magnetic field of magnitude 0.000394 T at the center of the solenoid
The current required in the windings of the given long solenoid that has 1580 turns uniformly distributed over the length of the solenoid is 1.98 A.
Magnetic field at the center of a solenoidThe magnetic field at the center of a solenoid is given by the following formula,
B = μ₀nI
where;
μ₀ is permeability of free space n is number of turnsI is current in the solenoidCurrent in the solenoidI = B/μ₀n
I = (0.00394) / (4π x 10⁻⁷ x 1580)
I = 1.98 A
Thus, the current required in the windings of the given long solenoid is 1.98 A.
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If two forces act on an object, what is the relationship between the two forces? (pls explain)
A. The larger force causes the same acceleration as the smaller.
B. The larger force causes more acceleration than the smaller.
C. The larger force causes less acceleration than the smaller.
D. The smaller force and the larger force are balanced and therefore causes no acceleration.
Answer:
B. The larger force causes more acceleration than the smaller.
Explanation:
For example, let me use a child and a grown up. The child represents the smaller force while the grown up represents the larger force. If they are pushing the same object of different sides, obviously the side with the grown up will push and move to the side of the child because it is stronger.