Problems 12.6 The text states that the total mass of material in Saturn's rings is about 1015 tons (1018kg). Suppose the average ring particle is 6 cm in radius (the size of a large snowball) and has a density of 1000 kg/m". Part A How many ring particles are there? Express your answer using two significant figures. OF EVO ALO ? N = 10.1106 Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining
Answers
The number of ring particles in Saturn's rings if total mass of material in Saturn's rings is about 10¹⁸ kg is 6.67 * 10¹⁷
ρ = m / V
ρ = Density
m = Mass
V = Volume
ρ = 1000 kg / m³
r = 6 cm = 0.06 m
V = 4 / 3 π r³
V = 4 / 3 * 3.14 * ( 0.06 )³
V = 0.015 m³
m = ρ V
m = 1000 * 0.015
m = 15 kg
The total mass of Saturn's ring is 10¹⁸ kg
Mass of one particle of a Saturn ring = 15 kg
Total number of particles = 10¹⁸ / 15
Total number of particles = 6.67 * 10¹⁷
Therefore, the number of particles is 6.67 * 10¹⁷
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Related Questions
why stationary magnet inside a coil does not induce a electric current
Answers
the blades in a blender rotate at a rate of 7400 rpm. when the motor is turned off during operation, the blades slow to rest in 2.5 s. what is the angular acceleration (in rad/s2) as the blades slow down?
Answers
The angular acceleration as the blades slow down is -309.7 rad/s².
To find the angular acceleration (in rad/s^2) as the blades slow down, we'll need to use the following terms: initial angular velocity, final angular velocity, time, and angular acceleration.
1. Convert the initial angular velocity from rpm (rotations per minute) to rad/s (radians per second): 7400 rpm * (2π rad/1 rotation) * (1 min/60 s) = 774.3 rad/s.
2. Since the blades come to rest, the final angular velocity is 0 rad/s.
3. The time it takes for the blades to slow down is given as 2.5 s.
4. Use the angular acceleration formula: α = (ω_f - ω_i) / t,
where α is the angular acceleration, ω_f is the final angular velocity, ω_i is the initial angular velocity, and t is the time.
5. Plug in the values: α = (0 - 774.3 rad/s) / 2.5 s = -309.7 rad/s².
The angular acceleration as the blades slow down is -309.7 rad/s².
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Atoms of the same element that differ only in the number of neutrons are known as.
Answers
Answer:
They are known as isotopes
as long as an object is not gaining or losing mass, a net force on the object will cause a change in as long as an object is not gaining or losing mass, a net force on the object will cause a change in velocity. weight. speed. acceleration. direction.
Answers
The net force would cause the velocity of the body to change and it would accelerate.
What is the net force?We know that the force that is acting on a body is a vector quantity. If the force is a vector quantity, the implication of this is that the force would have both a magnitude and direction.
According to the Newton first law of motion, if an object is acted upon by an unbalanced force, the result of this is that the velocity of the object would change and the object would accelerate.
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The National Aeronautics and Space Administration (NASA) studies the physiological effects of large accelerations on astronauts. Some of these studies use a machine known as a centrifuge. This machine consists of a long arm, to one end of which is attached a chamber in which the astronaut sits. The other end of the arm is connected to an axis about which the arm and chamber can be rotated. The astronaut moves on a circular path, much like a model airplane flying in a circle on a guideline. The chamber is located 20.0 m from the center of the circle. At what speed must the chamber move so that an astronaut is subjected to 5.64 times the acceleration due to gravity
Answers
Answer:
w = 1,662 rad / s, v = 33.25 m / s
Explanation:
This this exercise indicates that the acceleration felt by the astronauts is
a = 5.64 g
in a circular motion the centripetal acceleration is
a_c = v²/ r
angular and linear variables are related
v = w r
we substitute
a_c = w² r
we finally have
5.64 g = w² r
w² = 5.64 g / r
let's calculate
w = \(\sqrt{ \frac{5.64 \ 9.8}{20.0} }\)
w = 1,662 rad / s
linear velocity is
v = w r
v = 1,662 20
v = 33.25 m / s
Compare two sound waves, a and b. the frequency of wave a is one third that of wave b. how does the period of wave a compare with the period of wave b?
Answers
If the frequency of wave 'a' is one-third of that of wave 'b', then the time period of wave a will be three times as compared to the time period of wave 'b'
The frequency of a wave is inversely proportional to its time period, and it is defined as the number of oscillations per second.
which means F ∝ 1/T
If we remove the proportionality we will need to add a constant.
which makes the relation F = k/T
Time period is defined as the total time taken by a wave to complete one oscillation.
Now as per the data we have,
let the frequency of wave b be 'F', and the time period of b be 'T'
\(F_{a}\) = F/3 and \(T_{a}\) = T/3
Arranging the data into the formula we get
\(\frac{F_{a}}{F_{b}} = \frac{T_{b}}{T_{a}}\)
Which gives us \(T_{b}\) = 3\(T_{a}\)
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a car with a mass of 1000kg hitting a tree. the initial velocity of the car is 90 kmh-¹ and it comes to stop at 1.5s.
calculate the velocity of the car in unit ms-¹
Answers
To calculate the velocity of the car in m/s, we first need to convert the initial velocity from km/h to m/s.
90 km/h = (90 x 1000) / 3600 m/s = 25 m/s (rounded to the nearest whole number)
Next, we can use the formula for velocity:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken. Since the car comes to a stop, the final velocity is zero. The acceleration can be calculated using the formula:
a = (v-u)/t = (0 - 25)/1.5 = -16.67 m/s²
Substituting the values into the first formula, we get:
0 = 25 + (-16.67) x t
Solving for t, we get:
t = 1.5 seconds
Therefore, the velocity of the car in m/s is zero, since it comes to a complete stop.
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what does acceleRation measure
Answers
Answer:
Speed and distance traveled
Explanation:
why (if you are careful) are you able to float a needle on the surface of water?water has adhesive properties.
Answers
Floating a needle on the surface of water is possible because of the phenomenon known as surface tension.
Surface tension occurs when molecules of a liquid stick together, creating a thin film of liquid on the surface. This film is able to support objects that are light enough to float.
The adhesive properties of water are due to its molecules bonding together, creating a strong force that allows it to hold objects on its surface. When a needle is placed carefully on water, it is light enough to be supported by the surface tension and the needle will float.
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Coulomb’s law in monopole , dipole and square quadruple?!
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Answer:
Coulomb's law states that the magnitude of force between two charges is directly proportional to the product of magnitude of charges and inversely proportional to the square of the separation distance between the charges.
\({ \boxed{ \rm{F \: \alpha \: \frac{q_{1} q_{2} }{ {r}^{2} } }}} \\ \)
Conceptual Exercise 19.46- Copy Part A The electric field on the dashed line in the figure vanishes at infinity, but also at two different points a finite distance from the charges. Figure 1) Identify the regions in which you can find Check all that apply. = 0 at a finite distance from the charges to the right of point C O between points A and B to the left of pointA between points B and C Figure 1 |of 1 Submit Hints My Answers Give Up Review Part Provide Feedback Continue +a +9
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In the given scenario, we are asked to identify the regions where the electric field on the dashed line vanishes at a finite distance from the charges. The electric field is caused by the presence of charges and can be found by using Coulomb's law. The direction of the electric field is given by the direction of the force experienced by a test charge placed at that point.
Based on the given information, we can assume that there are at least two point charges placed in the vicinity of the dashed line. It is also given that the electric field vanishes at infinity and at two different points a finite distance from the charges. This implies that the electric field is non-zero in some regions and zero in others.
To identify the regions where the electric field is zero, we need to analyze the geometry of the configuration. From the figure, we can see that the two point charges are placed symmetrically with respect to the dashed line. This implies that the electric field on the dashed line will be zero at the midpoint between the charges. Therefore, we can say that the region between points A and B is where the electric field is zero.
Similarly, we can analyze the other regions to identify where the electric field is zero. Since the electric field vanishes at two different points, we can assume that the other region where the electric field is zero lies to the left of point A or to the right of point C. However, without additional information, we cannot determine the exact location of this region.
In conclusion, based on the given information, we can say that the electric field on the dashed line vanishes at a finite distance from the charges between points A and B. The location of the other region where the electric field is zero cannot be determined without additional information.
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can an object emit different portions of the electromagnetic spectrum at the same time?
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Answer:
i don't really know but i think yes sorry if it is wrong
The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is
Answers
The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is A m/C (ampere meter per coulomb). This unit represents the ratio between the electric field and the magnetic field, indicating the strength and direction of the electromagnetic field.
The SI unit of electric field (E) is NC^(-1) (newton per coulomb) and the SI unit of magnetic field (B) is NA^(-1) m^(-1) (tesla). To determine the unit of E/B, we need to divide the unit of E by the unit of B.
Dividing the unit of E (NC^(-1)) by the unit of B (NA^(-1) m^(-1)), we can simplify the expression:
E/B = (NC^(-1))/(NA^(-1) m^(-1))
To simplify this expression, we can cancel out the common units in the numerator and denominator:
E/B = (N/C)/(N/(A m))
Now, let's simplify further by dividing the numerator and denominator:
E/B = (N/C) * (A m/N)
Canceling out the common units:
E/B = (A m)/(C)
Therefore, the unit of E/B is A m/C (ampere meter per coulomb).
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a common 5-l metal can will float in air if it is
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A common 5-liter metal can will float in air if it is filled with a lighter-than-air gas, such as helium or hydrogen.
In order for a 5-liter metal can to float in air, it needs to have an overall density less than that of air. This can be achieved by filling the can with a lighter-than-air gas, such as helium or hydrogen. These gases have lower densities than air, which results in a decreased overall density of the can when it is filled with one of these gases.
The buoyant force exerted on the can by the surrounding air is determined by the weight of the displaced air. If the weight of the can and the gas inside is less than the weight of the air displaced, the can will float. Helium and hydrogen, being lighter than air, can create this effect, allowing the can to float in air. However, safety concerns must be taken into account, as hydrogen is highly flammable and can pose a risk if not handled properly.
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In any thermodynamic system that deals with the transfer of thermal energy, which of thefollowing is the most ideal state for that system?
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Thermodynamics can be said to be a branch of Physics which involves the transfer of heat and other energy forms.
Thermal energy is the energy possesed by a system due to its temperature.
In thermodynamics, during the transfer of thermal energy, energy is wasted due to entryopy. And entropy is the measure of disorder of a system.
Therefore, in amy thermodynamic system that deals with the transfer of thermal energy, the most ideal state for that system is Entropy
ANSWER:
A. Entropy
Engineers often build a prototype perfectly. It is rare that they have to improve their product.
True or false
Answers
Answer:
false
Explanation:
most prototypes are and perfect and they are build to find our mistakes
What type of energy change results when friction slows down an object.
Answers
Rank the water levels of a mixed-tide system according to height. Put the highest water level on top.
higher high water
lower high water
higher low water
lower low water
Answers
Higher high water
Lower high water
Higher low water
Lower low water
In a mixed-tide system, the water levels exhibit two high tides and two low tides within a tidal cycle. The ranking of the water levels according to height is as follows:
Higher high water: This is the highest water level observed during the tidal cycle. It occurs when the gravitational forces of the Moon and the Sun align to produce a stronger tidal bulge. It typically happens around the time of a new moon or a full moon.
Lower high water: This is the second-highest water level observed during the tidal cycle. It occurs when the gravitational forces of the Moon and the Sun are not aligned, resulting in a weaker tidal bulge. It typically happens around the time of the first quarter and third quarter moon phases.
Higher low water: This is the higher of the two low water levels observed during the tidal cycle. It occurs when the gravitational forces of the Moon and the Sun produce a weaker tidal trough. It typically happens between the two high tides.
Lower low water: This is the lowest water level observed during the tidal cycle. It occurs when the gravitational forces of the Moon and the Sun are not aligned, resulting in a stronger tidal trough. It typically happens between the higher low water and the next high tide.
The ranking of water levels in a mixed-tide system, from highest to lowest, is: higher high water, lower high water, higher low water, lower low water
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What are some signals of autism?
Answers
Answer:
The range and severity of symptoms can vary widely. Common symptoms include difficulty with communication, difficulty with social interactions, obsessive interests, and repetitive behaviors.
At any age
1. Loss of previously acquired speech, babbling or social skills.
2. Avoidance of eye contact.
3. Persistent preference for solitude.
4. Difficulty understanding other people's feelings.
5. Delayed language development.
6. Persistent repetition of words or phrases (echolalia)
7. Resistance to minor changes in routine or surroundings.
Have a nice day ✨if the current is 0.4 A for the 20 ohm resistor, what is the value for the potential difference? ii) Would it be different for the 30 ohm resistor or the same?
Answers
Answer:potential difference is more or less like voltage. Using ohms, V=IR
Where V is Voltage
I is Current =0.4A
R is Resistance=20ohms
V=0.4*20
V=8V
Hence the potential difference will be 8V.
ii) V=0.4*30
V=12V
Explanation:
The voltage of potential difference is directly proportional to the current and the resistance. So if one increase or decrease, it will have impact on the other.
From the calculations, when the resistance increase, the voltage will increase to appreciate the change.
What are two adaptations that telescope must make to account for
different types of light?
Answers
Answer: Reflecting telescopes focus light with a series of mirrors, while refracting telescopes use lenses.
Explanation:
Why are images reflected from a rough surface not as clear as those reflected from a smooth
surface?
Answers
Answer:
Just as images are reflected from the surface of a mirror, light reflected from a smooth water surface also produced a clear image. ... Consequently, the outgoing rays are reflected at many different angles and the image is disrupted. Reflection from such a rough surface is called diffuse reflection and appears matte.
Explanation:
hi po I hope it's help you
19) Suppose a ball is thrown straight up and experiences no appreciable air resistance. What is its acceleration just before it reaches its highest point? A) zero B) slightly less than g C) exactly g D) slightly greater than g
Answers
Answer:
C)
Explanation: In freefall motion object always has gravity as its acceleration.
what is rusting?How does it occur?
Answers
Answer:
Rust occurs when iron or its alloys, such as steel, corrode. The surface of a piece of iron will corrode first in the presence of oxygen and water.The process of rusting is a combustion reaction, similar to fire. Left in contact with oxygen, iron will react with the oxygen to form rust.
Hope this helps!!
Answer:
iron is oxidation reaction
Explanation:
it occurs when iron reacts with water and oxygen to form hydrated iron(iii) oxide
A wave has a speed of 500 m/s and a frequency of 25 Hz. What is the wavelength of this wave in metres?
Answers
Answer:
20 mExplanation:
The wavelength of a wave can be found by using the formula
\(\lambda = \frac{c}{f} \\\)
where
c is the speed of the wave
f is the frequency
From the question
c = 500 m/s
f = 25 Hz
We have
\( \lambda = \frac{500}{25} \\ = 20\)
We have the final answer as
20 mHope this helps you
which best esplains how the body maintains homeostasis.
a. All systems work together to stabilize the body .
b. Each systems work indepently to stabilize the body .
c. All systems works together to match the external environment.
d. Each system works indepently to match the external evironment.
Answers
a. all systems work together to stabilize the body
A student swings a 0. 5kg rubber ball attached to a string over her head in a horizontal, circular path. The string is 1. 5
meters long and in 60 seconds the ball makes 120 complete circles.
What is the velocity of the ball?
What is the ball’s centripetal acceleration?
What is the ball’s centripetal force?
Answers
The velocity of the ball = 18.84 rad/sec
The centripetal acceleration of the ball = 236.63 m/s²
The centripetal force of the ball = 118.32 N
The mass of the ball = 0.5 kg
The length of the string = 1.5
The time taken = 60 s
The number of rotations = 120
The velocity of the ball can be found using the formula,
ω = θ / t
where ω is the angular velocity
θ is the angular rotation
t is the time taken
Let us substitute the known values in the above equation, we get
ω = (120 x 2 x 3.14 x 1.5 ) / 60
= 1,130.4 / 60
= 18.84 radians/sec
The formula for centripetal acceleration is
α = ω² / r
= 18.84² / 1.5
= 345.95 / 1.5
= 236.63 m / s²
The centripetal force is
F = mω² / r
= 0.5 x 236.63
= 118.32 N
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Using the models above, answer the question by writing a claim then in the evidence-giving at least 1 of 2 pieces of evidence related to the electrons to support the claim and reasoning includes the evidence and claim you have written.
In your claim, identify the elements represented using the Periodic Table of Elements to find the element name as well as stating which of the 2 elements represented above, is more reactive?
P: Phosphorus
N: Nitrogen
Claim
Evidence
Reasoning
Answers
Answer:
This is a atom
Explanation:
I dont knownthis
What is the unit of Strain?
A.
Pascal,
B.
None of the mentioned
C.
No unit
D.
Pounds per square inch, psi
Answers
The unit of Strain is B. None of the mentioned
The correct answer is B) None of the mentioned.
Strain is a dimensionless quantity and does not have a unit. It is defined as the ratio of the change in length (or deformation) to the original length of an object. Since it is a ratio of two lengths, the units cancel out, resulting in a dimensionless quantity.
Strain is defined as the ratio of change in dimension of a body to the original dimension. E.g. longitudinal strain is defined as the ratio of change in length to the original length.
Since it is a ratio of two quantities having the same dimension, strain is a unitless quantity.
So, the correct answer is B) None of the mentioned
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Calculate the pressure in pascals if a 5000N force is applied to an area of 20m2
Answers
Given , Force = 5000 N.
Area = 20 m² We Know that ,
Hence , the required value of pressure is 250 pascals.