a. The limits of integration are
0 ≤ ϕ ≤ π/2
0 ≤ θ ≤ 2π
cos ϕ ≤ ρ ≤ 3
b. The volume of the solid is (15π - 5)/4 cubic units.
a. The limits of integration for the spherical coordinates are
0 ≤ ϕ ≤ π/2 (for the hemisphere)
0 ≤ θ ≤ 2π (full rotation)
cos ϕ ≤ ρ ≤ 3 (for the region between the sphere and hemisphere)
b. Using the given integral
V = ∫₀²π ∫₀ᴨ/₂ ∫cosϕ³ ρ² sin ϕ dρ dϕ dθ
Evaluating the integral yields
V = 15π/4 - 5/4
Therefore, the volume of the solid is (15π - 5)/4 cubic units.
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can someone please help:)
1- A positive charge of 3x10-7 is located in a field of 27N/C directed toward the south. What is the force acting on the charge?
2- A positive test charge of 5x10-6Cis in an electric field that exerts a force of 2x10-4N on it.
What is the magnitude of the electric field at the location of the test charge?
Explanation:
(1) Given that,
A charge, [tex]q=3\times 10^{-7}\ C[/tex]
Electric field, E = 27 N/C
We need to find the force acting on the charge. The force on the charge is given by :
[tex]F=qE\\\\F=3\times 10^{-7}\times 27\\F=8.1\times 10^{-6}\ N[/tex]
So, the force acting on the charge is [tex]8.1\times 10^{-6}\ N[/tex]
(b) Charge, [tex]q=5\times 10^{-6}\ C[/tex]
Force, [tex]F=2\times 10^{-4}\ N[/tex]
Let E be the electric field.
[tex]E=\dfrac{F}{q}\\\\E=\dfrac{2\times 10^{-4}}{5\times 10^{-6}}\\\\E=40\ N/C[/tex]
So, the electric field is 40 N/C.
PLEASE HELPPPP!!!!!!!!!!
Answer:
I think its B
Explanation:
solve: A car travels 2 km North , 10 km East, then 3 km West. pythagorean theorem
________b_____ 7 km east
|
| 2km north.
|a
|
°
pythagorean theorem : ✓a² + b² = c²
c² = a² + b² = 4 + 49 = 53
c = ✓53 km
displacement = c = ✓53 km
distance = 10 + 3 + 2 = 15 km
someone please helppp
okay, so what i have learned from my experiences with doing school on e.d.g.e.n.u.i.t.y (they won't let me say the website name on here lol) is that after you write an extended response, they show you a sample response as well as these checkboxes which show things they wanted you to have included in your answer. ideally they want you to select all of them, meaning that all of those elements were included in your answer. it's not a matter or right or wrong; none of those checkboxes contain a wrong answer. you just select the ones that apply to your answer, and you won't get penalized if you don't select all of the checkboxes. you don't even have to select any of them. there's been times where my answer has been not at all what it should've been and i just click done without checking any of those boxes because i did not include any of those elements in my response. as long as the box that you wrote your answer in is outlined in green (which yours is, and that means that the computer likes your answer), you will be fine.
i hope this makes sense! it's sort of hard to explain. if you have any questions, just comment and i'll try my best to explain better lol. have a great rest of your day! <3
How does the composition of a comet compare with that of the Sun?
Both objects are composed of gas.
Both objects contain a form of water.
Comets are made of ice and dust, while the Sun is made of gas.
Comets are made of frozen rock, while the Sun is made of burning rock.
Answer:
C
Explanation:
The composition of a comet compared with that of the Sun is C "Comets are made of ice and dust, while the Sun is made of gas".
What are comets?Comets are small, icy bodies that originate from the outer solar system and are composed mainly of frozen water, carbon dioxide, methane, and ammonia, along with dust and small rocky particles. When a comet approaches the Sun, its icy material vaporizes, creating a glowing coma (a hazy atmosphere around the nucleus) and a tail that points away from the Sun due to the solar wind.
On the other hand, the Sun is a giant ball of hot, glowing gas, composed mainly of hydrogen (about 73% of its mass) and helium (about 25% of its mass), with trace amounts of other elements like oxygen, carbon, and iron. The Sun generates energy through nuclear fusion reactions in its core, which convert hydrogen into helium and release a tremendous amount of energy in the process.
Therefore, the composition of a comet is quite different from that of the Sun. While both objects contain some water (in the form of ice for comets and vapor for the Sun), comets are predominantly made of ice and dust, while the Sun is predominantly made of gas, with only a small amount of solid material in its core.
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A 10 kg boat is moving 3 m/s. Find kinetic energy. Use KE = (mv^2)/2
A 0.6kg ball accelerated at 55 m/s 2 . What force was applied?
Answer: 33N
Explanation:
Newton's second Law of motion F = ma
F = (0.6)(55) = 33N
How are the sun and Earth's moon different?(2 points)
The sun is a ball of gases that revolves around Earth, while the moon is the center of the solar system,
The sun is a ball of rock and gas, while the moon is a ball of rock that revolves around the sun.
The sun is the center of the solar system, while the moon is a ball of rock that revolves around Earth
The moon is the center of the solar system, while the sun is the center of the Milky Way.
Answer: The Sun measures 1.4 million km across, while the Moon is a mere 3,474 km across. In other words, the Sun is roughly 400 times larger than the Moon. But the Sun also happens to be 400 times further away than the Moon, and this has created an amazing coincidence.
Explanation:
please please help!!!!!
Cadmium has eight naturally occurring isotopes. What do the isotopes have in common?
A.
atomic mass
B.
mass number
C.
number of protons
D.
number of neutrons
The isotopes of any element have same number of protons inside them.
What is Cadmium?Cadmium is a chemical element with the symbol Cd and atomic number 48. It is soft, silvery and white metal.
Given is about Cadmium that it has eight naturally occurring isotopes.
Isotopes are the atoms of the same element which have same number of protons in them but the number of neutrons are different. Isotopes usually have same chemical properties, but they have different physical properties. Their can be stable and unstable isotopes. These unstable isotopes are also called radioisotopes, since they emit radiation. Thus, the isotopes have same number of protons.
Therefore, the isotopes of any element have same number of protons inside them.
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what is the si unit of loudness of sound
Answer:
We know that loudness is directly proportional to amplitude and SI unit of amplitude is Decibel So unit of loudness is decibel
Answer:
volume
Explanation:
the si unit of sound is volume
What is the mass of an object that has 324 J of energy and is moving at a speed of 9 m/s? Answer:
Answer:
the mass of that object = 324 ÷ 9 = 36j
Answer:
36 kg
Explanation:
m=?
KE= 324 J
v= 9 m/s
m= 324 / 9
= 36 kg
how do I write an essay on how I feel about online school
Answer:
Some students appreciated the social aspect of Zoom classrooms, while others felt online education worked best for them when they were working on their own. ... Students said they appreciated having a well-planned work week and didn't appreciate “surprise” assignments online any more than they appreciate them in class
Explanation:
What's I know I said
What do you u write it
Which of the following have the most GPE. 1.) a car at the top of a hill 2.) a car at the bottom of the hill 3.) a car half way down the hill 4.) on the straight part of the track. (I don't know how to give Brainly)
Answer: car at the top of a hill
Explanation:
Electrical energy in motion is what type of energy ?
Answer:
kinetic energy
Explanation:
Electrical energy is a type of kinetic energy caused by moving electric charges. The amount of energy depends on the speed of the charges – the faster they move, the more electrical energy they carry.
Please help. Will give branliest!!
Which action is an example of a force that operates at a distance.
A. A baseball thrown by a player.
B. A pebble falling to the ground
C. Fish swimming in the water
D. A sailboat sailing on a lake
An action which is an example of a force which operates at a distance is a pebble falling to the ground. Thus, the correct option is B.
What is force?A force is an influence which can be changed upon with the motion of an object. A force can cause an object with some amount of mass to change the velocity of the object, i.e., to accelerate the object. Force can also be described as a push or a pull of the object. A force is a vector quantity because it has both the magnitude and direction.
A pebble falling to the ground level is an example of the force which operates at a specific distance. A force applied on the pebble covers some distance.
Therefore, the correct option is B.
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A magnetic field is formed when electric charges move. When the electric charges stop moving, the magnetic field (which was formed by the moving charges) ceases to exist. True or False
True
Explanation:
when electrons stop.moving it cause a stoppage
in formation of magnetic field
i hope.it helps u
which of these three words applies to all types of sedimentary rock: weathering, compaction, or deposition
Weathering is words applies to all types of sedimentary rock.
What is Weathering?The breakdown or dissolution of rocks and minerals on the Earth's surface is referred to as weathering. Agents of weathering include water, ice, acids, salts, plants, animals, and variations in temperature.
The breakdown or dissolution of rocks and minerals on the Earth's surface is referred to as weathering. Agents of weathering include water, ice, acids, salts, plants, animals, and variations in temperature.
The effects of weathering and erosion cannot be resisted by any rock on Earth due to its softness. These processes combined to carve famous sites like Arizona's Grand Canyon.
Therefore, Weathering is words applies to all types of sedimentary rock.
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Given the following situation of marble in motion on rolling 10 m/s horizontally from a height of 1.5-m with negligible friction.
a.) Once the ball leaves the table, calculate how long it will take for the ball to hit the floor?
b.) How far will the ball travel horizontally before hitting the floor?
Answer:
The ball would hit the floor approximately [tex]0.55\; \rm s[/tex] after leaving the table.
The ball would travel approximately [tex]5.5\; \rm m[/tex] horizontally after leaving the table.
(Assumption: [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].)
Explanation:
Let [tex]\Delta h[/tex] denote the change to the height of the ball. Let [tex]t[/tex] denote the time (in seconds) it took for the ball to hit the floor after leaving the table. Let [tex]v_0(\text{vertical})[/tex] denote the initial vertical velocity of this ball.
If the air resistance on this ball is indeed negligible:[tex]\displaystyle \Delta h = -\frac{1}{2}\, g\, t^{2} + v_0(\text{vertical}) \cdot t[/tex].
The ball was initially travelling horizontally. In other words, before leaving the table, the vertical velocity of the ball was [tex]v_0(\text{vertical}) = 0 \; \rm m \cdot s^{-1}[/tex].
The height of the table was [tex]1.5\; \rm m[/tex]. Therefore, after hitting the floor, the ball would be [tex]1.5\; \rm m \![/tex] below where it was before leaving the table. Hence, [tex]\Delta h = -1.5\;\rm m[/tex].
The equation becomes:
[tex]\displaystyle -1.5 = -\frac{9.81}{2} \, t^{2}[/tex].
Solve for [tex]t[/tex]:
[tex]\displaystyle t = \sqrt{1.5 \times \frac{2}{9.81}} \approx 0.55[/tex].
In other words, it would take approximately [tex]0.55\; \rm s[/tex] for the ball to hit the floor after leaving the table.
Since the air resistance on the ball is negligible, the horizontal velocity of this ball would be constant (at [tex]v(\text{horizontal}) =10\; \rm m \cdot s^{-1}[/tex]) until the ball hits the floor.
The ball was in the air for approximately [tex]t = 0.55\; \rm s[/tex] and would have travelled approximately [tex]v(\text{horizontal})\cdot t \approx 5.5\;\rm m[/tex] horizontally during the flight.
Help please if u don’t know one don’t answer it but do the most that u can
(2) 120 * 0.4 = 48 W
(3) 500 / 2 = 250 V
(4) 1000 / 300 = 3.3 A
(5) 700/3 = 233.3 V
(6) 1600 / 240 = 6.7 A
(7) 160 / 2 = 80 V
(8) 120 * 6 = 720 W
(9) 1000 / 240 = 4.17 A
Power (watts) = electric potential difference(volts) * intensity(amps)
Pls , give me Brainliest pls pls pls pls
Answer:
1. 1689 v 259 v p＝v 1* + 8.3 answer 2090
A plane has a take off speed of 1 point
300 km/h. What is the
acceleration in m/s2 of the
plane if the plane started from
rest and took 45 seconds to
take off? *
Answer:
Acceleration = 1.85m/s²
Explanation:
Given the following data;
Final velocity = 300km/h to m/s = 300*1000/3600 = 83.33m/s
Time = 45 seconds
Since the plane started from rest, initial velocity is equal to 0m/s.
To find the acceleration;
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
Where,
a is acceleration measured in [tex]ms^{-2}[/tex]
v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]
t is time measured in seconds.
Substituting into the equation, we have;
Acceleration = (83.33 - 0)/45
Acceleration = 83.33/45
Acceleration = 1.85m/s²
Therefore, the acceleration of the plane is 1.85m/s².
A scientist wants to study the movement of air in a hurricane in order to help prevent damage. Which tool should the scientist use to find out more about the movement of air?(1 point)
a computer model
a barometer
a levee
a Doppler radar
Answer:
B
Explanation:
IM PRETTY SURE it is B
The scientist should use a barometer to learn more about the movement of air. A barometer is a scientific instrument that measures the pressure of air in a particular environment.
What a barometer is used for?A barometer is a scientific instrument that measures the pressure of air in a particular environment. Short-term weather changes can be predicted by the pressure tendency. In surface weather analysis, many air pressure measurements are used to help locate surface troughs, pressure systems, and frontal boundaries.Furthermore, just as air flows out of the high-pressure environment inside an inflated balloon if the opening is not tied, air in the atmosphere will move to a lower pressure area, resulting in wind. An anemometer is a device that measures the speed of the wind. The readings on each of these digital barometers are slightly different! Layers of air wrap around the Earth to form the atmosphere.To learn more about Barometers, refer to:
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what are common in the pictures?
Answer:
the flowers the left have them on there heads the middle on there chest and the right one has them on there shoulders
Put the following objects in order from smallest
Wrong order
Milky Way
Earth
Moon
Jupiter
Universe
Sun
Comet
Solar System
A player throws a basketball with a force of 30.0 N. If the mass of the basketball is 0.625 kg, what acceleration (in m/s) does the player give to the ball?
Answer:
your answer should be 48 m/s.
Explanation:
the total for was 30N and the formula for force is F=m*a divide the force by the known, in this case the mass. 30/0.625=48 m/s
What determines a wave’s velocity? a The number of waves per a period of time. b The amplitude of the wave. c The medium it travels through. d How much constructive interference there is.
Answer:
A
Explanation:
I'm pretty sure that this answer is correct please let me know!
which is not a cinstellation?
Answer:
The Big Dipper
Explanation:
Susan said, if I fertilize my geranium plants, they will blossom
Answer:
I don't know what you're asking, but I will try my best.
If Susan fertilizes her geranium plants, it will help them blossom. If she over-fertilizes them though, they will die. But yes, in general, they will blossom if Susan fertilizes her geranium plants.
can you suggest improvement that can be made towards the design of siphon so that the transfer of liquid is much higher.
Answer:
A siphon is a tube that makes use of the potential energy of fluid at an elevated level to transfer the fluid to a lower level, due to pressure differences between the inlet and the outlet points of the tube, such that the pressure at the outlet is higher than the pressure at the inlet
The pressure energy is converted into velocity (kinetic) energy, and therefore, in other to increase the flow rate through the tube of a siphon, with constant diameter, the level of the fluid in the container at the inlet (supply) of the siphon is raised higher than the level at the outlet receiving) container or the outlet point of the siphon tube
The larger the difference between the inlet and outlet levels, the faster the transfer of fluid by the siphon
Explanation:
the total amount of energetic does not change. this is known as the principle of (blank) energy
Answer:
Conservation
Explanation: