Saturn's ring system is over 270000 km wide, and only a few tens of meters thick; let's assume 50 meters thick for this problem. Assuming the rings could be shrunk down so that their diameter is the width of a dollar bill (6.6 cm), how thick would the rings be? Express your answer in centimeters to two significant figures. Part B Compare your answer to the actual thickness of a dollar bill (0.01 cm). Essay answers are limited to about 500 words ( 3800 characters maximum, including spaces).
Answers
Saturn's ring system is over 270000 km wide, and only a few tens of meters thick, the thickness of Saturn ring is 4 × 10⁻⁴ times smaller than thickness of a piece of paper.
We need to know how thick the rings would be if we scale down Saturn's ring system from its breadth of nearly 270,000 km to the width of a dollar bill (6.6 cm).
Here,
1 Km =103 m
1 cm =0.01 m
Here, it is given that:
For 270,000 Km Wide = 40 m thick
X = 0.27 × 40 ÷ (270000 × 103)
X = 4 × 10⁻⁸ m
Now, comparing the actual thickness of a dollar bill:
1 mm =1 × 10⁻³ m
So Ratio is
R = 4 × 10-8/(0.1 × 10⁻³)
R =4 × 10⁻⁴
Thus, thickness of Saturn ring is 4 × 10⁻⁴ times smaller than thickness of a piece of paper.
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Related Questions
newton wondered why things always fell down to the ground. After many observations and experiments, Newton developed the law of
Answers
After many observations and experiments, Newton developed the law of universal gravitation.
What is Newton's law of universal gravitation?
Newton's law of universal gravitation states that every two objects in the universe attracts each other with a force that is directly proportional to the product of masses of the object and inversely proportional to the square of the distance between the objects.
Mathematically, Newton's law of universal gravitation is given as;
F = Gm₁m₂ / r²
where;
G is universal gravitation constantm₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the objectsFrom the equation given above, the force of attraction between two objects increases with increase in the mass of the objects and decrease in the distance between the objects.
Thus, the law developed by Isaac Newton is law of universal gravitation which describes the gravitational pull between two objects.
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If you are initially driving at a peed of 30 km/h with a contant acceleration of 2. 0 m/2. Determine
how much time, in econd, it will take you to reach a peed of 60 km/h?
Answers
In 4.16 seconds, 60 km/h speed can be achieved if the initial speed is 30 km/h and the acceleration is 2.0 m/s².
Initial speed, u = 30 km/h
Final speed, v = 60 km/h
Constant acceleration, a = 2.0 m/s²
Converting the initial speed in m/sec = 30 × 5/18
u = 75/9 m/s
Converting the final speed in m/sec = 60 × 5/18
v = 150/9 m/s
By the first equation of motion, which is used to determine the final velocity of an object which has some constant acceleration.
v = u + at
t = (v-u)/a
t = [(150/9) - (75/9)]/2
t = 4.16 sec.
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What is the efficiency of a car's engine when heat input is 400,000 joules and
the waste heat is 300,000 joules?
O A. 25%
B. 35%
O C. 75%
D. 85%
Answers
Answer: A. 25%
Explanation: Ap3x
let q = (0,6) and r = (5,7) be given points in the plane. we want to find the point p = (x,0) on the x-axis such that the sum of distances pq pr is as small as possible.
Answers
The point p on the x-axis that minimizes the sum of distances pq and pr is (2.5, 0).
To find the point p on the x-axis that minimizes the sum of distances pq and pr, we can use the following approach:Let's first plot the given points q and r on a coordinate plane. We can see that q is located at (0,6) and r is located at (5,7).Next, we draw a line segment connecting q and r, and extend it to intersect with the x-axis. Let's call this intersection point p = (x,0).We can see that the sum of distances pq and pr is the length of line segment pq plus the length of line segment pr. Using the distance formula, we can calculate the length of each of these segments:Length of pq: sqrt((x-0)^2 + (0-6)^2) = sqrt(x^2 + 36)
Length of pr: sqrt((x-5)^2 + (0-7)^2) = sqrt((x-5)^2 + 49)
The total sum of distances pq and pr can be written as:sqrt(x^2 + 36) + sqrt((x-5)^2 + 49)
To find the value of x that minimizes this expression, we can take its derivative with respect to x and set it equal to zero:d/dx [sqrt(x^2 + 36) + sqrt((x-5)^2 + 49)] = 0
After simplifying and solving this equation, we get the value of x that minimizes the sum of distances to be x = 2.5.Therefore, the point p that minimizes the sum of distances pq and pr is (2.5, 0), which is the point of intersection between the line segment connecting q and r and the x-axis.For such more questions on plane
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an energy bill indicates that a customer used 1027 kwh in july. how many joules did the customer use?
Answers
According to an energy bill, a client used 1027 kilowatt hours (kwh) in July. Did the customer consume the stated 1 joules = 3600 joules?
Does 1 L have a weight of common ratio g under ideal circumstances? or is it chemical?Physically, it is colorless, odorless, and a gas at ambient temperature with a weight of 1.260 g per liter under normal circumstances. It reacts with acetone and is chemically combustible, polymerizing to make polyethylene.
Which of following claims concerning alterations in the physical and chemical world is accurate?The following assertion about chemical and physical changes is true: C) Physiological changes always result in the creation of new substances. In nature, there are two different types of change: chemical development and physical change. No new chemicals are created, only the physicochemical characteristics of existing substances are temporarily altered.
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What is the prescriptive minimum distance between the bottom of a microwave oven and a range cooking surface?
Answers
The National Kitchen and Bath Association recommends that the bottom of the microwave should be no higher than 54 inches above the floor, which would allow for 18 inches of clearance between the microwave and the typical cooktop height of 36 inches. Some manufacturers allow smaller clearances.
What is microwave ?Microwave radiation has wavelengths between one meter and one millimeter, which correspond to frequencies between 300 MHz and 300 GHz, respectively. The term "microwaves" refers to a variety of frequency bands; the wide definition given above covers both the UHF and EHF (millimeter wave) bands. The range from 1 to 100 is a more typical definition in radio-frequency engineering.
The word "microwave" does not necessarily imply a wavelength in the micrometer range, despite the prefix micro-. Instead, it means that, in comparison to the radio waves employed before the invention of the microwave, microwaves are "little" (having shorter wavelengths).
Far-infrared, terahertz, microwave, and ultra-high-frequency radio waves are divided into these categories arbitrarily and in varied ways by various scientific disciplines.
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can a person run at a speed of 20 meters per second
Answers
Answer:
No
Explanation:
The fastest recorded time for a person to run 100 metres is 9.58 seconds, which is the equivalent of 10.4 metres per second
Answer:
No
Explanation:
Humans can run as fast as 19.3m/s, using their full possible energy.
Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?
Answers
Answer:
105N
Explanation:
force = mass x acceleration
force without the 25N = 40 x 2
= 80N
On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N
What are irregular galaxies mostly filled with?
O
gas and dust
O
clusters and black holes
O
dark matter and clusters
quasars and spirals
Answers
………………
A steel cable initially 7m long is used to strap three logs of timber onto a vehicle. The cable is under a tension of 400N. If the diameter of the cable is 4cm, i) By how much has it to be extended under this tension. ii) How much work has been done in producing this extension. (Young's modulus for steel is 2.0×10^11 N\m^2)
Answers
Answer:
i) The extension of the cable can be calculated using the formula:
ΔL/L = F/(A*Y)
where ΔL is the extension in length, L is the original length, F is the tension force, A is the cross-sectional area of the cable, and Y is the Young's modulus of steel.
First, we need to calculate the cross-sectional area of the cable:
A = πr^2 = π(0.02m)^2 = 0.00126 m^2
Now we can calculate the extension:
ΔL/L = 400N/(0.00126m^2 * 2.0×10^11 N/m^2) = 1.5873×10^-6
ΔL = (1.5873×10^-6)(7m) = 1.11×10^-5 m
So the cable has to be extended by 1.11×10^-5 m under this tension.
ii) The work done in producing this extension can be calculated using the formula:
W = (1/2)FΔL
where W is the work done, F is the tension force, and ΔL is the extension in length.
Substituting the given values:
W = (1/2)(400N)(1.11×10^-5 m) = 2.22×10^-3 J
Therefore, the work done in producing this extension is 2.22×10^-3 J.
Explanation:
an asteroid is in orbit at 4 times the earth's distance from the sun. what is its period of revolution?
Answers
Time Period of revolution of the astreoid around the sun is P = 8\(\sqrt{D^{3} }\) days.
What is time period of revolution ?The length of time it takes an astronomical object to complete one orbit around another object is known as the orbital period. In astronomy, it often refers to bodies like planets or asteroids revolving about the Sun, as well as moons circling other stars, exoplanets, and double stars.
In other words, the cube of the semi-major axis of any planet's orbit is equal to the square of the period of that planet's revolution around the sun. Despite the fact that all planetary orbits are elliptical, all save Pluto's are close enough to circular shapes to allow the word "radius" to be used instead of "semi-major axis." In other terms, the cube of a planet's distance from the sun (d) is equivalent to the square of a planet's period (P)
Let the distance of Earth from sun be D km
Distance of Astroid from sun is 4D km
Time taken by Astroid to orbit sun be P days
Then,
P²= (4D)³
P = 8\(\sqrt{D^{3} }\)
Time Period of revolution P = 8\(\sqrt{D^{3} }\) days.
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a free electron and free proton are released from rest in the same electric field.what is true for the electrical forces experienced by these two particle?
Answers
Answer:
Both particles are subjected to the same electrical force,
The acceleration of the electron will be much greater than that of the proton: F = m a and Mproton / Melectron = 1840
The electron and proton will be accelerated in opposite directions.
Two vehicles are traveling when they enter an intersection and crash and stick together. Both have a mass of 1,650 kg and both are traveling at 15 m/s. If one is headed North and the other is headed East, after the collision they end up traveling NE together at what speed (in m/s)? Please input your answer as a positive number with two decimal places.
Answers
Answer:
10.61 m/s
Explanation:
To find the final speed, we will use the conservation of momentum in each direction, so we can write the following equations:
\(\begin{gathered} p_{ix}=p_{fx} \\ m_1v_{1x}+m_2v_{2x}=(m_1+m_2)v_{fx} \\ \text{and} \\ p_{iy}=p_{fy} \\ m_1v_{1y}+m_2v_{2y}=(m_1+m_2)v_{fy} \end{gathered}\)Where m1 and m2 are the mass of the vehicles, v1 and v2 are their respective velocities in each direction, and Vfx and Vfy are the final velocities in each direction.
If one of the vehicles is headed north, its horizontal velocity Vx = 0 m/s. In the same way if the other is headed east, its vertical velocity Vy = 0m/s
Therefore, we can replace the values and solve the first equation as:
\(\begin{gathered} 1650(0)+1650(15)=(1650+1650)v_{fx} \\ 24750=3300v_{fx} \\ \frac{24750}{3300}=v_{fx} \\ 7.5m/s=v_{fx} \end{gathered}\)In the same way, we can solve the second equation as:
\(\begin{gathered} 1650(15)+1650(0)=(1650+1650)v_{fy} \\ 24750=3300v_{fy} \\ \frac{24750}{3300}=v_{fy} \\ 7.5m/s=v_{fy} \end{gathered}\)Now, we know that the vertical and horizontal speed was 7.5 m/s. So, we can calculate the final speed using the Pythagorean theorem as:
\(\begin{gathered} v=\sqrt[]{(v_{fx})^2+(v_{fy})^2} \\ v=\sqrt[]{(7.5)^2+(7.5)^2} \\ v=\sqrt[]{56.25+56.25} \\ v=\sqrt[]{112.5}=10.61\text{ m/s} \end{gathered}\)So, the speed after the collision was 10.61 m/s
What is one newton force?
Answers
One newton force is defined as the force that is necessary to provide a mass of one kilogram with an acceleration of one metre per second per second. One newton is equal to a force of 100,000 dynes in the centimetre-gram-second (CGS) system, or a force of about 0.2248 pound in the foot-pound- second system.
have a conversation with me
Answers
Answer:
to live and function. Rememb
Explanation:
Answer:
to live and be social
Explanation:
What is the spreading out of light into different colors called?
1 transmission
2 dispersion
3 reflection
4 refraction
Answers
Answer:
Dispersion
Explanation:
dispersion
[diˈspərZHən, diˈspərSHən]
NOUN
the action or process of distributing things or people over a wide area.
"some seeds rely on birds for dispersion"
the state of being dispersed over a wide area.
"the general dispersion of Hellenistic culture"
ecology
the pattern of distribution of individuals within a habitat.
(Dispersion)
another term for diaspora.
a mixture of one substance dispersed in another medium.
physics
the separation of white light into colors, or the separation of any radiation according to wavelength.
statistics
the extent to which values of a variable differ from a fixed value such as the mean.
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In high-velocity automated decision making, humans are eliminated from the decision chain.
a. True
b. False
Answers
True, In high-velocity automated decision making, humans are eliminated from the decision chain.
The decision chain that governments must make in the extractive sector is what they must do in order to transform the natural resources found underground into improved development above ground. Paul Collier made this strategy well-known in his book The Bottom Billion by emphasizing the crucial steps to making sure that the riches of natural resources is converted into the wellbeing of citizens. Since then, this paradigm has served as a resource for other groups working on natural resource governance, including the World Bank, the Extractive Industries Transparency Initiative, and the Natural Resource Governance Institute (EITI). The process starts with the choice of whether to extract and involves decisions about how to distribute extraction rights, how to provide income and other advantages, and how to manage the income from extraction.
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What is the frequency of a raido wave with a wavelength of 1.0 mm?
Answers
Answer:
3×10^6
Explanation:
frequency is the speed of light ( c) which is a constant number divided the wavelength
f = 3×10^6 / 1.0
Why do astronauts wear shiny suits for space walks?
Answers
Answer:
Explanation:
Astronauts must wear spacesuits whenever they leave a spacecraft and are exposed to the environment of space. In space, there is no air to breath and no air pressure... Spacesuits are specially designed to protect astronauts from the cold, radiation and low pressure in space. They also provide air to breathe.
À partir de tes connaissances et en utilisant les documents ci-dessous explique pourquoi réparer un interrupteur ou changer un prix électrique à la maison sont des gestes très dangereux rédiger un compte rendu en détaillant les étapes de ton raisonnement
Answers
Answer:
solo se que la respuesta esExplanation:
rosa melano!¡Haile's plane travels forward for a few feet and then begins to fall. What would explain the plane's ability to travel forward for a few feet without falling?
Answers
Answer:
Aircraft never crash because of one single issue. It's almost always a combination of factors that lead to an accident. Whilst flying is extremely safe, typical reasons why planes crash include pilot error, technical failures, bad weather, terrorism, and pilot fatigue.
Answer The force of the air pushing up on the plane is
equal to the force of gravity pulling down on the
plane.
an egg drops from a second-story window, taking 1.12 s to fall and reaching 11.0 m/s just before hitting the ground. on contact, the egg stops completely in 0.131 s. calculate the magnitudes of its average acceleration (a) while falling and (b) while stopping
Answers
The average acceleration of the egg while falling can be calculated using the equation a = (v - u)/t, where v is the final velocity, u is the initial velocity and t is time.
The average accelerationa) A = (11.0 m/s) / (1.12 s) = 9.82 m/s^2
b) A = (0 m/s) / (0.131 s) = 0 m/s^2
This is a physics problem involving the concepts of acceleration, velocity, and time.Acceleration is the rate of change of velocity and is a vector quantity, meaning it has both a magnitude and direction.In this case, v = 11.0 m/s, u = 0 m/s and t = 1.12 s.This gives an acceleration of 9.82 m/s^2 downwards, the same value as the acceleration due to gravity.The average acceleration of the egg while stopping can be calculated using the same equation, but with v = 0 m/s, u = 11.0 m/s and t = 0.131 s.This gives an acceleration of -84.3 m/s^2, which is an acceleration directed upwards, opposite to the acceleration due to gravity.In summary, the egg experienced an average acceleration of 9.82 m/s^2 downwards while falling, and an average acceleration of -84.3 m/s^2 upwards while stopping.To learn more about The average acceleration refer to:
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Dos resistencias de 30 y 20 Ω se conectan en seria a un generador que tiene una diferencia de potencial de 20 V entre sus bornes. a. Determina la resistencia equivalente de la asociación b. Dibuja el circuito y coloca un amperímetro que indique el valor de la intensidad de la corriente y unos voltímetros que muestren la diferencia de potencial entre los extremos de las resistencias ¿Qué valores muestran estos aparatos?
Answers
Answer:
V = 12V, V = 8V
Explanation:
a) In this series circuit the equivalent resistance is
Req - R1 + R2
Req = 30 + 20
Eeq = 50 Ω
b) see attached
c) the circuit current is
i = V / Req
i = 20/50
i = 0.4 A
voltages are>
V = 0.4 30
V = 12V
V = 0.4 20
V = 8V
(c)
The straight section of the line in above graph can be used to calculate the useful
power output of the kettle.
Explain how.
Answers
It is correct to state that the straight section of the line in the above graph can be used to calculate the useful power output of the kettle. Here is how.
What is Useful Power Output?The term "useful power output" refers to the amount of electric or mechanical energy made available for use, excluding any such energy utilized in the power generation process.
Looking at the graph can observe that the gradient = rise/run = temperature change /time change.
Recall that E = Mcθ and Pt is the same as the transferred energy. Hence it is possible to state that:
Pt = Mcθ
Making P subject of the formula, we have
P = Mcθ/t
Recall that gradient = temperature change /time change.
Hence, in the above expression, our gradient (θ/t) is related to P in that:
P = Mc * (θ/t)
Where:
P = Power
t = time
m = mass
c = Heat capacity
θ = change in temperature
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Full Question:
The straight section of the line in above graph [See attached] can be used to calculate the useful power output of the kettle. Explain how.
2. A ball has a weight of 15 N. If a cannon can shoot with a force of 100 N, what will be the net force
on the ball?
Answers
Answer: 115 N
Explanation:
In this case, the ball has a weight of 15 N (force due to gravity) acting on it and the cannon is shooting it with a force of 100 N.
To find the net force on the ball, we add the forces acting on it.
Net force = force due to gravity + force due to the cannon
Net force = 15 N + 100 N
Net force = 115 N
So, the net force on the ball will be 115 N. ✅
PLEASEEEE GIVE BRANLIEST
Calculate Amirul’s displacement from his house
Answers
Answer:
100m
Explanation:
\(80^{2} x60^{2} = 10000\\\)
\(\sqrt{10000} = 100\)
1. In general
, which type of compound tends to have the lowest melting point?
O A. Molecular solids
O B. Network solids
O C. lonic salts
O D. Metals
Answers
f each fission reaction in a nuclear reactor emits three neutrons, how many neutrons are produced from three fission reactions?
one
three
six
nine
Answers
The Three fission reactions will produce nine neutrons
Meaning of FissionFission can be defined as a nuclear process that involves the breaking of a whole nuclear matter into smaller bits.
In a fission reaction, the matter is broken down into simpler bits.
In conclusion, The Three fission reactions will produce nine neutrons
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1. Which wave phenomenon is illustrated by this image?
O A. Refraction
O B. Diffraction
O C. Diffusion
O D. Interference
Answers
Answer:
Explanation: O B. Diffraction
hope i’m right
Twisting a bone along its longitudinal axis toward the midline of the body is ____________ .Twisting a bone along its longitudinal axis away from the midline of the body is ____________ .Rotation of the forearm, as if you're asking someone to hand you money or slap down on your hand, is called ____________ .Rotation of the forearm, as if you're turning over a can to empty it, is called ____________ .Movement of the thumb to approach and touch the fingertips is called ____________ .
Answers
Answer: Medial rotation
Lateral rotation
Supination
Pronation
Opposition
Explanation:
Medial rotation can be defined as the rotation of any of the body part towards the middle axis of the body. For example, movement of leg bones so that the toes are pointed towards inward.
Lateral rotation is the movement of the body parts or bones away from the middle axis of the body. For example. outward circle created by the upper limbs directed outwards.
Supination is the rotation of the forearm in such a way so that the palm is directed upwards so that hand can receive money or hand can slap a person.
Pronation is the downward motion of hand to put things down.
Opposition is the movement of the bones of the fingers the metacarpals which allow the thumb to touch the fingertips.