Answers
The vector potential inside the sphere is μ₀cπ, and the magnetic field inside the sphere is zero. Outside the sphere, the magnetic field intensity is given by B = (μ₀cR²/r²), where R is the radius of the sphere and r is the radial distance from the center of the sphere.
To find the vector potential and intensity of the magnetic field inside and outside a rotating sphere with a constant surface charge density, we can use the Biot-Savart law and Ampere's law.
Inside the sphere:
Inside the sphere, the radial distance r is less than the radius R of the sphere. We consider a circular current loop of radius r within the sphere.
Using the Biot-Savart law, the vector potential (A) at a point inside the sphere due to the circular current loop can be expressed as:
A = (μ₀/4π) ∫(Idl × r)/r²
Since the charge density is constant, the current (I) flowing through the circular loop is proportional to the area of the loop, which can be expressed as I = c × πr².
Substituting this expression for I into the equation for A, we get:
A = (μ₀c/4) ∫(dl × r)/r²
By integrating around the loop, we find that the integral term is equal to 2π, and simplifying further, we obtain:
A = (μ₀c/2r) ∫dl
The integral term on the right-hand side is simply the circumference of the loop, which is 2πr. Substituting this back into the equation, we get:
A = (μ₀c/2r) × 2πr = μ₀cπ
The magnetic field (B) can be obtained from the vector potential using the equation B = ∇ × A. Since the vector potential A is independent of position, the curl of A is zero. Therefore, the magnetic field inside the sphere is zero.
Outside the sphere:
Outside the sphere, the radial distance r is greater than the radius R of the sphere. Using Ampere's law, we can find the magnetic field.
Around a circular loop outside the sphere, the magnetic field is given by:
B = (μ₀I/2πr)
Since the current I is proportional to the area of the loop, which is πR², we have I = cπR². Substituting this expression for I into the equation for B, we get:
B = (μ₀cR²/2πr³) × 2πr = (μ₀cR²/r²)
Therefore, the intensity of the magnetic field outside the sphere is given by B = (μ₀cR²/r²).
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Related Questions
The ship motion compared with which reference point?
Answers
Since the cruise ship makes its way from one island to another. The ship is in motion is compared with the reference point of option C. a lighthouse on a nearby island.
What is the motion of the cruise ship about?Sine the cruise ship from one Island is relocating, the lengthy duration by the passengers within the ship makes it simple to detect the ship motion.
The skipper is the only one who is aware of the ship's direction and speed. Even though the cargo loads are stable and related to the ship's course, we cannot take them into account when calculating the traveling distance of the ship.
Since it is in the sea and relatively close to it, the lighthouse on the island can be used to calculate the distance traveled by ships. Due to its stability, we can use it as a reference point in the water that can be seen from a great distance.
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See full question below
A cruise ship makes its way from one island to another. The ship is in motion compared with which reference point?
A.
the passengers on the ship
B.
the captain of the ship
C.
a lighthouse on a nearby island
D.
the cargo inside the hull of the ship
How can you tell how objects differ in density?
Answers
Answer:
You have to compare the densities,
Explanation:
To find density:
1. Measure the object's weight
2. Divide the mass by the volume
An object accelerates uniformly from rest. If the final velocity of the object after 6.0 s is
18 m/s east, how far did the object travel?
Answers
Answer:
54m
Explanation:
Given parameters:
Initial velocity = 0m/s
Time taken = 6s
Final velocity = 18m/s east
Unknow:
How far did the object travel = ?
Solution:
To solve this problem, we use one of the kinematics equation:
We first find the acceleration which is the change in velocity
So;
S = \((\frac{v - u}{2} ) t\)
S is the distance
v is the final velocity
u is the initial velocity
t is the time taken
Therefore;
S = \(\frac{18 - 0}{2}\) x 6 = 54m
A cannon shoot a cannon ball. The momentum compared to the cannon ball is
Answers
Answer:
After the firing occurs, both the cannon and cannonball have the same momentum (big mass, small velocity vs. small mass, big velocity). But since the momentum for each is moving in the opposite direction, the momentums cancel out, causing the cannon-cannonball system's momentum to equal zero.
Explanation:
i'd like you to explain this to me, I don't have a clue on how to do this
1. I would like you to then go into detail as to why this is an important discovery or application of this scientific principle.
2. Then I would like you to explain how this applies to what we have learned.
"discovery" - Spanish flu
scientific concept/principle - exponential growth
thank you!
Answers
Answer:
Explanation:
The Spanish flu pandemic of 1918, the deadliest in history, infected an estimated 500 million people worldwide about one-third of the planet’s population and killed an estimated 20 million to 50 million victims, including some 675,000 Americans. The 1918 flu was first observed in Europe, the United States and parts of Asia before swiftly spreading around the world. At the time, there were no effective drugs or vaccines to treat this killer flu strain. Citizens were ordered to wear masks, schools, theaters and businesses were shuttered and bodies piled up in makeshift morgues.
Does this sound familiar?
Its the same thing but with a different name called the Corona virus pandemic the same thing happened in 1918 and now it is happening again in 2020 , but in in 2020 there are far less people infected by the Corona virus as compared to the Spanish flu the numbers approximate around 70 million infected and deaths are around 2 million.
The rapid spread of Spanish flu in the fall of 1918 was at least partially to blame on public health officials unwilling to impose quarantines during wartime. The public health response to the crisis in the United States was further hampered by a severe nursing shortage as thousands of nurses had been deployed to military camps and the front lines. But one of the chief reasons that the Spanish flu claimed so many lives in 1918 was that science simply didn’t have the tools to develop a vaccine for the virus. Microscopes couldn’t even see something as incredibly small as a virus until the 1930s.
That is why the Spanish Flu claimed so many lives in 1918 and the Corona Virus didn't claim that many.
The Corona Virus patients with respect to Spanish Flu patients exponentially decreased because in 2020 we had the specific tools to fight the virus and since mankind was aware when the world engrossed into the pandemic 100 years before the new the risks that it could impose on the world , People started to Quarantine themselves, more nurses/doctors are available rather than in the era of the 19th century.
Mathematically we would say that the exponential growth would be:
\(y=ab^x\)
This is an exponential function, which means as you increase x , y increases exponentially, and where a is the initial value and b is the growth factor.
For example:
There are 100,000 cases of Coronavirus when the virus outbroke. If the number of cases doubles every week then how many cases would be there in 10 weeks?
So the solution would be
\(y=ab^x\\y=100000(2)^{10}\\y=102400000\)
Which means people infected with the virus would be approximate 102.5 million. But since this kind of pandemic already broke out in 1918 called the Spanish flu mankind was wise and controlled its growth factor (b) by Quarantining people , shutting down businesses, schools and implying them to work from home , closing off cafeteria's restaurants for dine in purposes and just allowing take away to reduce human contact, and since 1918 we have more doctors and nurses to treat the infected in 2020 we reduced the outbreak to 70 million in about 10 months other wise it could have been 100 million in just 2.5 months as we can see.
So guys stay indoors just go out if you REALLY need something, avoid meeting others , wear masks and gloves :)
A 15 kg box is pushed with a force of 35 N in the +x direction, and the box accelerates to the right. It does not accelerate up or down
Answers
The box accelerates to the right due to the applied force of 35 N in the +x direction.
Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In this case, the net force acting on the box is 35 N in the +x direction, and its mass is 15 kg. Therefore, we can calculate the acceleration using the formula:
acceleration = net force / mass
acceleration = 35 N / 15 kg = 2.33 m/s² (rounded to two decimal places)
Since the box is not accelerating up or down, we can conclude that the force applied is only causing the box to accelerate in the horizontal direction.
Other forces such as gravity and friction are not considered in this scenario. Thus, the 15 kg box will experience an acceleration of approximately 2.33 m/s² in the +x direction due to the applied force of 35 N.
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A piston-cylinder device containing a fluid is fitted with a paddle wheel stirring device operated by the fall of an external weight of mass 51kg. As the mass drops by a height of 5.6m, the paddle wheel makes 10100 revolutions. Meanwhile the free moving piston (frictionless and weightless) of 0.51m diameter moves out by a distance of 0.71m. Determine the net work for the system if atmospheric pressure is 101 kPa.
Answers
Answer:
The value is \(W_N = 11849 \ J \)
Explanation:
From the question we are told that
The mass of the external weight is \(m = 51 \ kg\)
The height through which the mass drops is \(h = 5.6 \ m\)
The number of revolution made is \(N = 10100 \ kg\)
The diameter of the free moving piston is \(d = 0.51 \ m \ kg\)
The distance moved by the free moving piston is \(s = 0.71 \ m \ kg\)
The atmospheric pressure is \(P = 101 \ kPa = 101*10^{3}\ Pa \)
Generally the workdone by the external weight is mathematically represented as
\(W_w =m * g * h\)
= \( 51 * 9.8 * 5.6 \)
= \(2799 N \)
Generally the workdone by the free moving piston is mathematically represented as
\(W_p =P * A * s\)
Here A is the cross-sectional area with value
\( A = \pi * \frac{d^2}{4}\)
\( A = 3.142 * \frac{0.51^2}{4}\)
So
\(W_p =101*10^{3} * 3.142 * \frac{0.51^2}{4} * 0.71\)
=> \(W_p = 14651 \)
So
The net workdone is mathematically evaluated as
\(W_N = -W_w+W_p \)
The negative sign shows that it is acting in opposite direction to \(W_N\)
So
\(W_N = -2799+14651 \)
\(W_N = 11849 \ J \)
3. It takes at least 4 people to push a refrigerator up a 10-meter ramp. How many people would be needed to push the same refrigerator to the same height using a
20-meter ramp? (Assume no friction for both ramps.)
O A. at least 2 people
O B. at least 4 people
O c. at least 8 people
D. Not enough information (could be impossible).
.
Answers
Answer:
A
Explanation: Using a ramp that is twice is long (and therefore flatter) means that half as much force is needed. Force is provided by the people who push, so only half as many people would be needed.
At least 2 people would be needed to push the same refrigerator to the same height using a 20-meter ramp.
Given the following data:
Number of people = 4 people.Height A = 10 meters.Height B = 20 meters.What is a ramp?A ramp can be defined as a sloping plane or surface that is typically used to connect two (2) levels; a higher and a lower level.
In this scenario, a ramp that is twice as long as the first ramp was used to push a refrigerator up. This simply means that, half the magnitude of force provided by the 4 people pushing the refrigerator up a 10-meter ramp would be needed for the 20-meter ramp, assuming no friction for both ramps.
In conclusion, we can deduce that at least 2 people would be needed to push the same refrigerator to the same height using a 20-meter ramp.
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How is an emission spectrum of an element generated?
O A.
When an electron in an atom is excited to a higher energy state.
OB.
When an electron in an atom is in the excited state.
C.
When an electron in an atom returns from an excited state to a lower energy state.
D.
When an electron in an atom is in the ground state.
Answers
electronic watches keep accurate time using crystal oscillators. inside the watch, there is a tiny block of quartz which vibrates. two opposite faces of the block move alternately toward each other and away from each other. this is a caused by a standing wave in the block. the two opposite faces are at antinodes, and the plane halfway between these two faces is at a node. if the two faces are 7.79 mm apart and the speed of sound in quartz is 3.72 km/s, find the frequency of the vibration.
Answers
The frequency of the variation is 238.76 kHz.
The frequency of a repeated event is its number of instances per unit of time. It is measured in hertz and corresponds to one event per second. Time period is the reciprocal of frequency as period is the time interval between events.
Frequency is an important parameter used in science to describe the speed of vibrations and vibrational phenomenon such as mechanical vibrations, audio signals, radio waves and light.
Now, let us calculate the frequency of vibration,
λ/4 + λ/4 = 7.79 mm
λ = 2* 7.79 = 15.58 mm = 15.58 * 10⁻³ m
We know that,
f = v/ λ = (3.72* 10³)/15.58 * 10⁻³ = 0.238 * 10⁶ Hz = 238.76 kHz
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An advertisement for an all-terrain vehicle (ATV) claims that the ATV can climb inclined slopes of 35°. What is the minimum coefficient of static friction needed for this claim to be possible?
Answers
An advertisement for an all-terrain vehicle (ATV) claims that the ATV can climb inclined slopes of 35°. The minimum coefficient of static friction needed for this claim to be possible is 0.7
In an inclined plane, the coefficient of static friction is the angle at which an object slide over another.
As the angle rises, the gravitational force component surpasses the static friction force, as such, the object begins to slide.
Using the Newton second law;
\(\sum F_x = \sum F_y = 0\)
\(\mathbf{mg sin \theta -f_s= N-mgcos \theta = 0 }\)
So; On the L.H.S\(\mathbf{mg sin \theta =f_s}\)
\(\mathbf{mg sin \theta =\mu_s N}\)
On the R.H.SN = mg cos θ
Equating both force component together, we have:
\(\mathbf{mg sin \theta =\mu_s \ mg \ cos \theta}\)
\(\mathbf{sin \theta =\mu_s \ \ cos \theta}\)
\(\mathbf{\mu_s = \dfrac{sin \theta }{ cos \theta}}\)
From trigonometry rule:
\(\mathbf{tan \theta= \dfrac{sin \theta }{ cos \theta}}\)
∴
\(\mathbf{\mu_s =\tan \theta}}\)
\(\mathbf{\mu_s =\tan 35^0}}\)
\(\mathbf{\mu_s = 0.700}}\)
Therefore, we can conclude that the minimum coefficient of static friction needed for this claim to be possible is 0.7
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A smooth circular cylinder of radius 1.5m in a triangular grove, one side of which makes 15 °angle and the other 40° angle with the horizontal · Find the reaction. at the surface of contact, if there. is no fiction and the cylinder weigh 100N
Answers
Answer:
46.5 N
Explanation:
attached is explanation
Which physical law most directly describes the motions of objects that are acted on by forces?
A.
Newton's law of universal gravitation
B.
Newton's second law of motion
C.
Coulomb's law of electrostatic interaction
D.
the conservation of mass law
Answers
Answer: Newton's second law of motion
Explanation:
which type of energy is the energy of a moving tennis ball
Answers
Answer:
Kinetic energy.
The explanation never existed
Answer: Kinetic Energy
Octane is a component of gasoline. It reacts with oxygen, O2 , to form carbon dioxide and water. Is octane an element or a compound? How can you tell?
Answers
Octane is a compound since it is composed of more than two elements of the periodic table.
What is octane?Octane is a linear hydrocarbon made up of hydrogen and carbon molecules, which makes it an organic molecule. Octane will be part of the composition of gasoline. The quality of the gasoline is measured by the octane number, the more octane there is, the higher the octane number and the better the quality of the gasoline.
It is a compound since it is said to be if it is made up of more than two elements from the periodic table. The elements of the compound cannot be separated by physical processes such as filtration or decantation, but only by chemical processes.
Therefore, we can confirm that octane is a compound since it is composed of more than two elements of the periodic table.
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Damon purchased a pair of sunglasses that were advertised as being polarized. Describe how Damon could test the sunglasses to verify they are polarized.
Answers
Answer:
To verify that they're polarized, he could hold the two lenses perpendicular (90 degrees) to each other, one lens in front of the other, and point it at a light source. If no light passes through then the lenses are polarized
The test of Polarization of pair of sunglasses is , hold the two lenses perpendicular to each other, one lens in front of the other, and point it towards a light source. If no light passes through then the lenses are polarized.
When a beam of light is reflected from a smooth surface, such as water or ice, it becomes polarized.Polarized light irritates the eyes and makes it hard to see clearly.For example, when fishing on a sunny day, you wouldn't see through the water. You would only see a reflection of the sun hitting the water.
Polarized lenses will neutralize the reflection of the water, and you will be able to into the water.To verify that pair of sunglasses are polarized, he could hold the two lenses perpendicular to each other, one lens in front of the other, and point it towards a light source. If no light passes through then the lenses are polarized.
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I heat 29.292 g of an unknown metal up to 99.9 °C. While it is heating, I weigh out 27.777 g of water, and find its initial
temperature is 22.1 "C. When I mix the metal and water in an insulated container, the temperature of the mixture rises
to 29.3 °C.
What is the most likely specific heat of the metal?
Select one:
a. 4.8 (104) cal / (g *C)
b. 9.7 (102) cal/(g*C)
c. 7.9 (10³) cal/ (g*C)
Od: 0.13 cal / (g°C)
e. 9.8 (105) cal / (g°C)
Answers
The specific heat capacity of the metal, given that 27.777 g of water at 22.1 °C was mixed with the metal is 9.7×10⁻² Cal/gºC
How do I determine the specific heat capacity of the metal?Step 1: Obtain the heat absorbed by the water. This is shown below:
Mass of water (M) = 27.777 gInitial temperature (T₁) = 22.1 °CFinal temperature (T₂) = 29.3 °CTemperature change (ΔT) = 29.3 - 22.1 = 7.2 °CSpecific heat capacity of water (C) = 1 Cal/gºC Heat absorbed (Q) =?Q = MCΔT
= 27.777 × 1 × 7.2
= 199.9944 Cal
Step 2: Determine the specific heat capacity of the metal using the heat absorbed by the water. Details below:
Heat absorbed by water (Q) = 199.9944 CalHeat released by metal (Q) = -199.9944 CalMass of metal (M) = 29.292 gInitial temperature (T₁) = 99.9 °CFinal temperature (T₂) = 29.3 °CTemperature change (ΔT) = 29.3 - 99.9 = -70.6 °CSpecific heat capacity of metal (C) = ?Q = MCΔT
-199.9944 = 29.292 × C × -70.6
-199.9944 = -2068.0152 × C
Divide both sides by -2068.0152
C = -199.9944 / -2068.0152
= 9.7×10⁻² Cal/gºC
Thus, the specific heat capacity of the metal is 9.7×10⁻² Cal/gºC. None of the options are correct.
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One particle has mass m and a second particle has mass 2m. The second particle is moving with speed v and the first with speed 2v. How do their kinetic energies compare?
Answers
Answer:
Explanation:
The formula for kinetic energy to be used here is 1/2mv².
If the first particle is "particle a" and the second particle is "particle n"; there kinetic energies (K.E) will be
K.Eₐ = 1/2.m2v² = mv²
K.Eₙ = 1/2.2mv² = mv²
From the above, it can be said that there kinetic energies are the same.
NOTE that the m and v used in the question means mass and velocity respectively.
Which elastic modulus describes the relationship between stress and strain for a block of iron sliding across a horizontal floor? The friction force between the sliding block and the floor causes the block to deform.
A. Young's Modulus
B. Shear Modulus
C. Bulk Modulus
D. None of these
Answers
Answer:
B. Shear Modulus
Explanation:
In this scenario, the friction force between the sliding block and the floor causes the block to deform.
Hence, the elastic modulus which describes the relationship between stress and strain for a block of iron sliding across a horizontal floor is Shear Modulus.
Shear Modulus can be defined as the ratio of shear stress to shear strain with respect to a physical object.
This ultimately implies that, Shear Modulus arises as a result of the application of a shear force on an object or body which eventually leads to its deformation. Thus, this phenomenon is simply used by scientists to measure or determine the rigidity of an object or body.
Mathematically, Shear Modulus is given by the formula;
\( G = \frac {Fl}{ADx} \)
Where;
G is the Shear Modulus.
F is the force applied to the object.
A is the area of the object.
l is the length of the object.
Dx is the change in length.
Shear Modulus is measured in Pascals.
State Newtown's second law of motion in words
Answers
Answer:
Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Explanation:
Answer:
The acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
(also, you have a typo. it's Newton, not Newtown)
Which statement describes electromagnetic waves with wavelengths grater than 700 nanometers
Answers
Answer:
They take the form of heat, I think thats it but I cant see if you put down any answers
Explanation:
Answer:a
Explanation:
they form hear
The power that a student generates when walking at a steady pace of vw is the same as when the student is riding a bike at vb = 3vw. The student is going to travel a distance d. The energy the student uses when walking is Ew. The energy the student uses when biking is Eb. The ratio EwEb is
Answers
Answer:
3
Explanation:
1. When might an ASDS be most useful and why?
2. How do Trappist-E, -F, and -G contrast with Earth?
3. Why is the greenhouse effect significant? Explain your reasoning.
4. Do you agree that humans are contributing to greenhouse gas levels? Explain your answer.
5. When might a rover be useful and why?
Answers
ASDA is found to be very proficient at detecting swirls in a variety of synthetic data with various levels of noise, implying our subsequent scientific results are astute.
What is ASDA?Applying ASDA to photospheric observations with a pixel size of 39.2 km sampled by the Solar Optical Telescope on board Hinode suggests a total number of 1.62 × 105 swirls in the photosphere, with an average radius and rotating speed of ∼290 km and <1.0 km s−1, respectively.
Comparisons between swirls detected in Bifrost numerical MHD simulations and both ground-based and space-borne observations suggest that (1) the spatial resolution of data plays a vital role in the total number and radii of swirls detected, and (2) noise introduced by seeing effects could decrease the detection rate of swirls, but has no significant influences in determining their inferred properties.
All results have shown that there is no significant difference in the analyzed properties between counterclockwise or clockwise rotating swirls. About 70% of swirls are located in intergranular lanes.
Therefore, ASDA is found to be very proficient at detecting swirls in a variety of synthetic data with various levels of noise, implying our subsequent scientific results are astute.
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Answer:
When might an ASDS be most useful and why?
Autonomous Spaceport Drone Ships would be helpful when a spacecraft needs to land in the ocean, for example. These prevent the rocket from being damaged by the water. These are typically used when a spacecraft doesn’t have enough fuel to reach its planned landing spot.
How do Trappist-E, -F, and -G contrast with Earth?
Trappist-E, -F, and -G are the planets that orbit in the habitable zone. They all have a high possibility of having water, similar to Earth. These planets are about the same size as Earth but they have about 100 times more water.
Why is the greenhouse effect significant? Explain your reasoning.
Greenhouse gases is likely what has caused the increase of warmth on our planet (global warming). People add to these greenhouse gases and they trap heat. We don’t know exactly what will be the outcome of the rise in these gases, but so far they have largely contributed to global warming.
Do you agree that humans are contributing to greenhouse gas levels? Explain your answer.
Yes, I do agree. People add to the heat-trapping greenhouse gases, like carbon dioxide, methane, nitrous oxide, and chlorofluorocarbons. Methane, for example, is increased when landfills are made of coal is mined, both of which are human activities.
When might a rover be useful, and why?
A rover might be useful when we are exploring places that aren’t safe for people. Another time rovers might be helpful is when we are exploring places that humans literally can’t go to or conduct research on because of what the planet is made out of. Since a rover isn’t human it can’t experience feelings or get hurt (it can be damaged, but that wouldn’t lose a life) therefore, it’s safer to send a rover at least until we can find out if it’s safe or not.
Explanation:
I had to do this in class
A phone with a mass of 0.2 kg is dropped from a height of 30 m what is it’s speed when it hits the ground?the acceleration of gravity is 9.8ms
Answers
Answer:
24.2 m/s
Explanation:
Mass is irrelevant in this situation....
Displacement: ( to find time)
x = xo + vo t - 1/2 at^2
30= 0 + 0 - 1/2 (9.8)t^2
t = 2.47 seconds
Velocity:
vf = a t = 9.8 (2.473) = 24.2 m/s
Say a funny joke and whoever makes me laugh the hardest gets brainliest or however u spell it haha
Answers
I told my friend she was drawing her eye brows to high and she look surprised
You don’t need a parachute to go skydiving but you do need it to go twice
People only call me ugly till they figure out how much money I make then that call me ugly and poor
You’re not completely useless you can always serve as a bad example
Answer:
i cant make funny joke
Explanation:
but i can be alive.
wait no, im failing at that currently.
Name three ways temperature can vary:
Answers
Answer:
Degree, Location and Time?
Explanation:
Answer:
Age. One of the most elementary factors that influence normal body temperature is age
Time of The Day. ...
Exercise or Physical Exertion. ...
Stress. ...
Meals. ...
Drugs and Smoking.
Explanation:
The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km. Cars travel around the track at a constant speed of 100 km/h. A car starts at the easternmost point of the ring and drives for 22.5 minutes at this speed.
Answers
The distance that is covered by the car in unit of kilometers is 37.5 km.
What is speed?The term speed is defined as the ratio of the distance to the time of the movement of an object. We know that speed is a scalar quantity hence we do not look at the direction of the object when we are dealing with the speed.
We have the following;
Speed of the car = 100 km/h
Time taken = 22.5 minutes
To convert the time to hours;
22.5 minutes * 1 hour /60 minutes
= 0.375 hours
Distance = speed * time
= 100 km/h * 0.375 hours
= 37.5 km
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Missing parts;
The Nardo ring is a circular test track for cars. It has a circumference of 12.5km. Cars travel around the track at a constant speed of 100km/h. A car starts at the easternmost point of the ring and drives for 15 minutes at this speed.
What distance, in km, does the car travel?
if the dissipated power between a and b equal 210 watt then VB equal
Answers
Answer:
correct answer is A
Explanation:
The diagram shows a series circuit with three resistors and two power sources.
In a series circuit the current through the entire circuit is constant and the resistance is the sum of the resistances in the circuit.
When the power sources are placed in opposite position the voltage between them is subtracted.
V_b - 30 = I (10 + 4 + 6)
V_b = I (20) - 30
V_b = 30 - 2 20
V_b = 10 V
the correct answer is A
A 1.2 kg block of wood hangs motionless from strings. A 50 g bullet, traveling horizontally, strikes the block and becomes embedded inside the block. Immediately after the bullet becomes embedded in the block, the block is observed to have a speed of 8.0 m/s. What was the speed of the bullet before it hit the block?
A. 200 m/s.
B. 12 m/s.
C 98 m/s.
D 9,604 m/s.
E 57 m/s.
Answers
Answer:
A. 200m/s
Explanation:
Using the law of conservation of momentum expressed as;
m1u1 + m2u2 = (m1+m2)v
m1 and m2 are the masses of the object
u1 and u2 are the respective velocities
v is the common velocity
Given
m1 = 1.2kg
u1 = 0m/s (block is a stationary object)
m2 = 50g= 0.05kg
u2 = ?
v = 8.0m/s
Substitute the values into the formula and get u2 (speed of the bullet before hitting the block)
1.2(0)+0.05u2 = (1.2 + 0.05)(8)
0.05u2 = 1.25(8)
0.05u2 = 10
u2 = 10/0.05
u2 = 200m/s
Hence the speed of the bullet before it hit the block is 200m/s
If a quarterback gets hit by a defensive lineman with a mass of 100 kg and accelerating at a rate of 1m/s2 at what force is the quarterback getting hit?
Answers
The quarterback is getting hit with a force of 100 Newtons.
How to calculate the force with which the quarterback is getting hit
We can use Newton's second law of motion:
Force = Mass * Acceleration
Given that the mass of the defensive lineman is 100 kg and the acceleration is 1 m/s², we can substitute these values into the equation:
Force = 100 kg * 1 m/s²
Force = 100 N
Therefore, the quarterback is getting hit with a force of 100 Newtons.
Learn more about Newton's second law here : brainly.com/question/1121817
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