The spaceship's proper length is 2000 m or 2 km. Hence, the answer is 2 km. The length of the spaceship as measured by an observer traveling on the spaceship is 2000 m.
The question refers to the length contraction that happens to the spaceship as it moves past Earth. Therefore, we will use the formula of length contraction in this case.
The formula for length contraction is given as:
L = L₀√1 - (v²/c²) where L₀ is the proper length, v is the velocity of the spaceship, c is the speed of light and L is the length observed by an observer.
Using the above formula, we can determine the answers as follows:
a) Determine the spaceship's proper length (nm): The velocity of the spaceship, v = 0.80c. The length observed by the observer on Earth, L = 667 m.
Therefore, we can substitute the above values in the formula of length contraction to obtain:
L = L₀√1 - (v²/c²) ⇒ 667 = L₀√1 - (0.8)²⇒ L₀ = 2000 m
Therefore, the spaceship's proper length is 2000 m or 2 km. Hence, the answer is 2 km.
(b) Determine the length of the spaceship as measured by an observer traveling on the spaceship (m).The length measured by an observer traveling on the spaceship will be the proper length, L₀.L₀ = 2000 m.
Therefore, the length of the spaceship as measured by an observer traveling on the spaceship is 2000 m.
Hence, the answer is 2000 m. Therefore, the final answer is:The spaceship's proper length is 2 km and the length of the spaceship as measured by an observer traveling on the spaceship is 2000 m.
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two objects collide and stop. their kinetic energy becomes sound energy. when does the energy stop being sound energy?
Answer: Two objects collide and stop. Their kinetic energy becomes sound energy when it is completely converted into another form of energy.
Sound energy is a form of energy that is generated due to the vibration of the particles. The sound energy is transferred through the air, liquids, and solids in the form of waves.
When two objects collide, their kinetic energy converts into sound energy. This sound energy is due to the collision of the objects. The kinetic energy is converted into sound energy because of the vibrations that occur during the collision.
When the sound energy is produced, it starts to propagate through the surrounding medium until it is absorbed by another medium. The energy stops being sound energy when it is completely converted into another form of energy. It can be absorbed by the medium in which it is traveling or can be transformed into other forms of energy such as heat or electrical energy.
Thus, the sound energy produced by the collision of two objects stops being sound energy when it is completely converted into another form of energy.
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Which color will absorb the most heat, and why is that so?
Answer:
Dark colors absorb more radiated heat from the sunlight while lighter colors reflect it. That's why wearing a black shirt on a sunny day makes you feel so much hotter than when you're wearing a white shirt!
Answer:
black
Explanation:
Light energy can be converted into heat energy. A black object absorbs all wavelengths of light and converts them into heat, so the object gets warm
difference between fundamental unit and derived unit (any two)
grade 8 question
Answer:
fundamental units are those units that are independent to other units where as derived units are derived from fundamental units . there are altogether 7 fundamental units where as there are more than seven derived units..
Answer:
\( \boxed{ \sf{see \: below}}\)
Explanation:
\(\underline{ \sf{fundamental \: unit}}\)
\( \star\) This is the unit of a fundamental quantity.
\( \star\) This unit is independent of other units.
\( \star\) There are only seven fundamental units. They are metre , kilogram , second , Kelvin , ampere , candela and mole.
\( \underline{ \sf{derived \: unit}}\)
\( \star\) This is the unit of a derived Quantity.
\( \star\) This unit is obtained from fundamental units.
\( \star\) It is formed in many types using seven fundamental units. They are Newton , Pascal , Joule , Watt , Hertz , Ohm etc.
Hope I helped!
Best regards! :D
108kmh-1 = _____ ms-1
Answer:
30 ms⁻¹
Explanation:
Given:
108kmh⁻¹
Find:
Change into ms⁻¹
Computation:
⇒ 1 km = 1,000 m
⇒ 1 hour = 60 x 60 = 3,600 sec
So,
⇒ 108[1,000/3,600]
30 ms⁻¹
What angle is necessary to keep a 10 kg box motionless if the coefficient of static friction between the box and the ramp is 0.55?
a.33.4°
b.28.8°
c.56.6°
d.45.0°
The angle necessary to keep a 10 kg box motionless, given a coefficient of static friction of 0.55 between the box and the ramp, is 33.4°, which corresponds to Option A.
To determine the angle, we can use the relationship between the coefficient of static friction, the angle of the incline, and the gravitational force acting on the box. The maximum static friction force can be calculated using the formula:
Friction force = coefficient of static friction * Normal force
The Normal force can be found by decomposing the gravitational force acting on the box into components parallel and perpendicular to the incline. The perpendicular component (Normal force) is equal to the weight of the box (mass * gravitational acceleration).
Since the box is motionless, the friction force must be equal to the component of the gravitational force acting parallel to the incline:
Friction force = Component of weight parallel to incline
By substituting the given values and solving for the angle, we find:
coefficient of static friction = tan(angle)
angle = arctan(coefficient of static friction)
angle = arctan(0.55) ≈ 33.4°
Therefore, the correct answer is Option A, 33.4°.
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what keeps both the cars pressed down on the road?
Answer:
Gravity
Explanation:
If the mass delivered by a rocket, m f , is separated into useful payload m u and the power-producing system mass m p =αP, show that Eq. (1.6) takes the form m 0 m u =e −Δv/u e − 2ηΔt αu e 2 (1−e −Δv/u e ) Where Δt is the thrusting time and η is the conversion efficiency. What is the optimum u e for this mission? (note Eq. 1.6 is m 0 m f =e −Δv/u e )
The optimum ue for this mission is u_e_opt = u_e ln(m0/mu)/(1 - αP/m0).
The rocket equation in the case where the mass delivered by a rocket, mf, is separated into useful payload mu and the power-producing system mass mp = αP, takes the form
m0mu = e−Δvue−2ηΔtαue2(1−e−Δvue),
Where Δt is the thrusting time, and η is the conversion efficiency.
This information is given in the question.
The optimum ue for this mission is the one that maximizes the payload mass mu for a given launch mass m0.
The rocket equation gives the relation between the initial mass of the rocket m0 and the final mass mf and the velocity change Δv it produces.
The rocket equation can be written as follows:
m0mf = e−Δvue,
Where Δv = ue ln(m0/mf)
The mass of the rocket that is consumed in a given time interval Δt is given by mp = αP Δt
The mass of the useful payload is given by
mu = mf - mp
Substituting for mf and mp, we get
mu = (1 - αP/m0)mf
Substituting the above equation in the rocket equation, we get
m0(1 - αP/m0)mf = e^(-Δv/ue)
mf = m0 e^(-Δv/ue)/(1 - αP/m0)
Substituting for mf, we get
mu = (1 - αP/m0) m0 e^(-Δv/ue)/(1 - αP/m0)
mu = m0 e^(-Δv/ue)
Multiplying both sides of the equation by m0/mu, we get
m0/mu = m0 e^(Δv/ue)
Taking the natural logarithm of both sides of the equation, we get ln(m0/mu) = Δv/ue
ue = Δv/ln(m0/mu)
Substituting the value of Δv from the rocket equation, we get
ue = u_e_opt
= u_e ln(m0/mu)/(1 - αP/m0)
Therefore, the optimum ue for this mission is u_e_opt = u_e ln(m0/mu)/(1 - αP/m0).
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Draw a simple picture of your foot kicking a
ball. Add a force arrow to show the push of your
foot on the ball. Label the arrow correctly.
which of these traits is NOT found in invertebrates
a. antennae
b. eyes
c. endoskeleton
d. none of them
Answer:
D) None of the Above
I hope this is correct; Let me know if it is in the comments.
Bio is a root word that means
O heart.
O life.
O cell.
O sugar.
bats use echolocation to navigate. they can emit ultrasonic waves with frequencies as high as 1.0×10^5 hz. What is the wavelength of such a wave? The speed of sound in air is 340 m/s.
The wavelength of an ultrasonic wave with a frequency of 1.0×10^5 Hz, given the speed of sound in air as 340 m/s, is approximately 3.4 mm.
The wavelength of a wave can be calculated using the formula λ = v/f, where λ represents the wavelength, v is the velocity or speed of the wave, and f is the frequency of the wave.
In this case, the frequency is given as 1.0×10^5 Hz, and the speed of sound in air is 340 m/s. By substituting these values into the formula, we can determine the wavelength.
λ = 340 m/s / (1.0×10^5 Hz) = 3.4×10^-3 m = 3.4 mm
Therefore, the wavelength of the ultrasonic wave emitted by bats, with a frequency of 1.0×10^5 Hz, is approximately 3.4 mm.
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A 1,200-kilogram car traveling at 10. meters per second hits a tree and is brought to rest in 0.10 second. What is the magnitude of the average force acting on the car to bring it to rest? angle of 15.0° above the horizontal. What are the horizontal (vx) and vertical (vy) components of this velocity? the law of universal gravitation?
(a) The magnitude of the average force acting on the car to bring it to rest is 120,000 N.
(b) The horizontal (vx) and vertical (vy) components of this velocity is 9.66 m/s and 2.59 m/s respectively.
What is the average force acting on the car?
The magnitude of the force acting on the car is calculated as follows;
F = mv / t
where;
m is the mass of the carv is the speed of the cart is the time of motion of the carF = ( 1200 kg x 10 m/s ) / ( 0.1 s )
F = 120,000 N
The horizontal and vertical component of the velocity of the car is calculated as follows;
Vx = V cosθ
Vy = V sinθ
where;
θ is the direction of the speedVx = 10 m/s x cos (15) = 9.66 m/s
Vy = 10 m/s x sin (15) = 2.59 m/s
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Unlike Electromagnetic waves, Mechanical waves need a to
transfer energy
A free-fall parachutist eventually reaches a top speed where air resistance prevents further acceleration. What name is given to this ‘top speed'?
The name given to it is "terminal velocity".
In reality, it isn't a velocity, and it doesn't happen in free-fall.
Go figure.
wo objects are seen to electrostatically repel each other. from this information, can you tell whether they are positively or negatively charged? explain why or why not?
No, it is not possible to determine whether the objects are positively or negatively charged based on the observation that they electrostatically repel each other.
This is because the electrostatic force between two charged objects depends not only on their charges but also on the distance between them.
The force of electrostatic repulsion between two like charges (positive-positive or negative-negative) is always repulsive, while the force of electrostatic attraction between two opposite charges (positive-negative) is always attractive.
However, the magnitude and direction of the force depend on the magnitudes and signs of the charges as well as the distance between them.
Therefore, it is possible for two objects with either positive or negative charges to exhibit electrostatic repulsion, depending on the relative magnitudes and signs of their charges and the distance between them.
Additional information, such as the exact distance between the objects or their charges, is needed to determine their charge signs.
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Mousa builds a bike ramp at 22 degrees that allows him to just barely jump his bike across a 5 m wide stream in the local neighborhood. Bilyan wants to replicate Mousa’s jump by building his own ramp, but at a different angle. At what angle should Bilyan construct his ramp?
A.
44 degrees
B.
11 degrees
C.
78 degrees
D.
68 degrees
For each of the following forbidden decays, determine what conservation laws are violated.(c) λ⁰ → p + π⁰
The decay process λ⁰ → p + π⁰ violates the conservation laws of baryon number and strangeness.
Here's a step-by-step explanation:
Baryon number conservation: In this decay process, a lambda particle (λ⁰) decays into a proton (p) and a neutral pion (π⁰). The lambda particle is a baryon, which means it has a baryon number of +1. The proton is also a baryon with a baryon number of +1. The neutral pion, on the other hand, is a meson and has a baryon number of 0. Therefore, the sum of the baryon numbers before and after the decay is not conserved.
Strangeness conservation: The lambda particle has a strangeness of -1, while the proton has a strangeness of 0. The neutral pion also has a strangeness of 0. Since the strangeness is not conserved, this decay violates the conservation law of strangeness.
The decay process λ⁰ → p + π⁰ violates the conservation laws of baryon number and strangeness.
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Which is closer to the Sun—Mercury or the Earth? A. They are the same distance from the Sun. B. The Earth is closer to the Sun than Mercury is. C. Mercury is closer to the Sun than the Earth is. D. The distance from the Earth to the Sun cannot be determined.
Answer:
the answer is C
Explanation:
I know because mercury is the first planet closest to the sun
Please help!!A camera lens 13.3 cm from a
flower makes an image at a
distance of 2.25 cm from the lens,
on the film. What is the focal
length of the lens?
(Unit = cm)
Answer:
f=1.92 cm
If ans is correct reply for explanation.
The typical focal length formula looks as follows: 1/Focal length = 1/Image distance + 1/Object distance , where: Image distance and Object distance are given in mm.
1/f = 1/u + 1/v
1/f = 1/133 + 1/22.5
= 0.007 + 0.044
= 0.0514 mm
What is focal length ?"The focal length of an optical system is a measure of how strongly the system converges or diverges light; it is the inverse of the system's optical power. A positive focal length indicates that a system converges light, while a negative focal length indicates that the system diverges light."
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WILL GIVE BRAINLY TO CORRECT ANSWER
the second and third one
The electron configuration for an atom is 1 s 2 2 s 2 2 p 2. How many electrons does the atom have?.
If the electronic configuration of an atom is 1s2 2s2 2p2 then it has 6 electrons.
This electronic configuration corresponds to carbon, whose atomic number is 6.
Importance of electronic configurationThe electronic configuration is a form of organization by layers that the electrons have.
Its importance is based on the ability to determine through it the total properties of chemical combination of atoms, which is equivalent to their location on the periodic table of elements.
Furthermore, the electronic configuration of an element defines its binding energy and thus its state at room temperature.
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21. True or false The half life is the time for half the stable isotope to decay.
Answer:
true
Explanation:
half life is the time an isotope takes to decay
The lift sling is used to hoist a container having a mass of 500 kg. Determine the force in each of the cables AB and AC as a function of θ. If the maximum tension allowed in each cable is 5 kN, determine the shortest lengths of cables AB and AC that can be used for the lift. The center of gravity of the container is located at G.
The tension forces in cables AB and AC for lifting a 500 kg container are found as functions of θ, and the shortest lengths of cables satisfying a maximum tension of 5 kN are 4408.5 m and 1886.5 m.
Assuming the container is being lifted vertically, we can draw a free-body diagram of the container and apply Newton's second law to find the tension forces in cables AB and AC.
Let T_AB and T_AC be the tensions in cables AB and AC respectively, and let W be the weight of the container. Then we have
T_AC * cos(θ) = T_AB * cos(θ) = W
T_AC * sin(θ) = T_AB * sin(θ)
Dividing the first equation by the second, we get
tan(θ) = T_AC / T_AB
Solving for T_AC and T_AB in terms of θ, we get
T_AC = W / cos(θ)
T_AB = W / (cos(θ) * tan(θ))
Substituting W = 500 kg * 9.81 m/s² = 4905 N, we get:
T_AC = 4905 / cos(θ)
T_AB = 4905 / (cos(θ) * tan(θ))
To find the shortest lengths of cables AB and AC that can be used for the lift, we need to make sure that the tension in each cable does not exceed 5 kN. Since the tensions are functions of θ, we can find the maximum value of θ that satisfies this condition.
For cable AB
T_AB = 4905 / (cos(θ) * tan(θ)) <= 5 kN
cos(θ) * tan(θ) >= 4905 / (5 kN) = 0.981
Using a calculator or a table of trigonometric functions, we can find that the minimum value of cos(θ) * tan(θ) that satisfies this inequality is approximately 0.739. Therefore, we have
cos(θ) * tan(θ) >= 0.739
Solving for θ, we get
θ <= atan(0.739 / cos(θ)) = 51.4°
Similarly, for cable AC
T_AC = 4905 / cos(θ) <= 5 kN
cos(θ) >= 4905 / (5 kN) = 0.981
Solving for θ, we get
θ >= acos(0.981) = 11.2°
Therefore, the shortest lengths of cables AB and AC that can be used for the lift are given by
L_AB = 500 / sin(θ) <= 4408.5 m
L_AC = 500 / sin(θ) >= 1886.5 m
where we have used the maximum and minimum values of θ obtained above. These lengths assume that the cables are perfectly vertical, and in practice there may be some additional length required to account for the angle at which the cables are attached to the container.
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Which type of thermal energy causes ocean currents?
Answer:
convection thermal energy causes ocean currents?
a person with normal vision has an optical power of 60 diopters. if the person looks at an object 10m away, what can you say about the image?
When a person with normal vision looks at an object 10m away, the image is formed clearly on the retina. The reason is that the eye has an optical power of 60 diopters. Therefore, a person with normal vision can see an object 10 meters away clearly.
Optical power refers to the ability of a lens to bend light. It is measured in diopters (D). The greater the diopter, the greater the lens's ability to bend light. The human eye's lens and cornea both contribute to its optical power.The cornea contributes around 43 diopters, while the lens contributes the remaining 17 diopters. The human eye's total optical power is usually about 60 diopters.A person with normal vision has an optical power of 60 diopters. When they look at an object 10m away, the image is formed clearly on the retina. The reason is that the eye has an optical power of 60 diopters.
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The Earth's atmosphere consists primarily of oxygen (21%) and nitrogen (78%) . The rms speed of oxygen molecules O₂ in the atmosphere at a certain location is 535 m/s. (a) What is the temperature of the atmosphere at this location?
The temperature of the atmosphere can be determined using the root mean square (rms) speed of oxygen molecules and the molar mass of oxygen. The formula to calculate temperature from rms speed is:
T = (m * v^2) / (3 * R)
Where T is the temperature in Kelvin, m is the molar mass of the gas (in this case, oxygen), v is the rms speed, and R is the ideal gas constant.
First, we need to convert the rms speed from m/s to cm/s. There are 100 cm in 1 meter, so the rms speed of oxygen molecules is 535 * 100 = 53,500 cm/s.
The molar mass of oxygen (O₂) is 32 g/mol.
The ideal gas constant (R) is 8.314 J/(mol·K).
Substituting the values into the formula, we get:
T = (32 * 53500^2) / (3 * 8.314)
Calculating this expression, we find that the temperature of the atmosphere at the given location is approximately 6661.64 K.
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The temperature of the atmosphere at this location is approximately 291 Kelvin.
Explanation :
The temperature of the Earth's atmosphere at a certain location can be determined using the root mean square (rms) speed of the oxygen molecules and the ideal gas law.
First, we need to convert the rms speed of oxygen molecules from m/s to m^2/s^2 by squaring it: (535 m/s)^2 = 286,225 m^2/s^2.
Next, we can use the formula for rms speed: rms speed = √(3RT/M), where R is the ideal gas constant, T is the temperature in Kelvin, and M is the molar mass of oxygen.
Since oxygen makes up 21% of the atmosphere, we can assume that the molar mass of oxygen (M) is 0.21 times the molar mass of air, which is approximately 29 g/mol.
We can rearrange the formula to solve for temperature (T): T = (rms speed)^2 * M / (3R).
Plugging in the values, we have T = (286,225 m^2/s^2) * (0.21 * 29 g/mol) / (3 * 8.314 J/(mol*K)).
Converting the molar mass of oxygen to kg/mol and simplifying the equation, we find T ≈ 291 K.
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Assume that arrival times at a drive-through window follow a Poisson process with mean rate A = 0.2 arrivals per minute: Let X be the waiting time until the third arrival. (1) Find the mean and variance ofX. (2) Find the probability distribution function ofX:
(1) Mean of X is 15 minutes and Variance of X is 75 minutes^2.
(2) The probability distribution function of X is f(x) = (0.008 * x^2 * e^(-0.2x)) / 2
(1) To find the mean and variance of X, we first need to determine the distribution of the waiting time until the third arrival. Since arrival times follow a Poisson process with mean rate λ = 0.2 arrivals per minute, the waiting times follow an exponential distribution. The waiting time until the k-th arrival (in this case, k = 3) follows a Gamma distribution with parameters k and λ.
Mean of X: E(X) = k / λ = 3 / 0.2 = 15 minutes
Variance of X: Var(X) = k / λ^2 = 3 / (0.2^2) = 75 minutes^2
(2) To find the probability distribution function (PDF) of X, we'll use the formula for the Gamma distribution:
f(x) = (λ^k * x^(k-1) * e^(-λx)) / Γ(k)
For our case, k = 3 and λ = 0.2:
f(x) = (0.2^3 * x^(3-1) * e^(-0.2x)) / Γ(3)
f(x) = (0.008 * x^2 * e^(-0.2x)) / 2
This is the probability distribution function of X, the waiting time until the third arrival.
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Which occurrence would lead you to conclude that lights are connected in a series circuit?
A. When one bulb burns out, all the other lights stay lit.
B. When one bulb burns out, a circuit breaker is tripped.
C. When one bulb burns out, all the lights go out.
D. When one bulb burns out, a small section of lights goes out.
Answer:
A. When one bulb burns out, all the other lights stay lit.
Answer: C.. all bulbs go out.
Explanation:
Describe the process by which an electromagnetic wave is produced.
A. An electrically charged particle vibrates, producing only an electric field that moves.
B. An electrically charged particle vibrates, producing electric and magnetic fields.
C. A magnetic field and an electric field collide, producing energy and light.
D. Radio waves break down into smaller wavelengths, producing new waves.
Answer:Im doing that same quiz rn and i just put A
Explanation:
this is because EM energy is produced when electrically charged participles vibrate generating an electric filed and a magnetic field which sends out an EM wave.
i hope this helped
According to the Law of Refraction, the incident angle and the reflection angle must be the same. Discuss: How well does your experiment show this
At the point of incidence, the incident and reflected rays form the following two angles:
The angle of incidence is the angle created at the point of incidence between the incident ray and the normal.The angle of reflection is the term used to describe the angle created at the point of incidence between the normal and the reflected beam.The law of reflection states that the angle of incidence and angle of reflection are identical. The normal is in the same plane as both the angle of incidence and the angle of reflection, which are always equal.
Light is renowned for its highly predictable behavior. The behavior of a beam of light as it reflects would follow a determinable law known as the law of reflection if it could be seen approaching and reflecting off of a flat mirror. The law of reflection is shown in the diagram below.
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