The maximum capacity of the cup is approximately 235.6 cubic units.
Let's say the central angle of the sector is 2θ. Then the circumference of the base of the cone will be 2πr.
Now, we need to find the height of the cone. To do this, we draw a perpendicular from the vertex of the cone to the base. This line will split the sector into two right triangles, each with one leg equal to the radius of the circular piece of paper, and the hypotenuse equal to the slant height of the cone. The other leg of each triangle will be the height of the cone. Using trigonometry, we can find that the height of each right triangle is r sin θ. Therefore, the height of the cone is 2r sin θ.
The volume of a cone is given by the formula V = (1/3)πr²h. Substituting the values we found, we get:
V = (1/3)πr²(2r sin θ)
= (2/3)πr³ sin θ
To find the maximum capacity of the cup, we need to find the value of θ that maximizes the volume. To do this, we take the derivative of V with respect to θ and set it equal to zero:
dV/dθ = (2/3)πr³ cos θ = 0
This occurs when cos θ = 0, or when θ = π/2. Therefore, the maximum capacity of the cup occurs when we cut out a sector with a central angle of 2(π/4) = π/2, or 90 degrees.
Substituting this value of θ into our formula for V, we get:
V = (2/3)πr³ sin (π/4)
= (2/3)πr³ / √2
Substituting r = 10 (the radius of the circular piece of paper), we get:
V ≈ 235.6 cubic units.
Therefore, the maximum capacity of the cup is approximately 235.6 cubic units.
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A car is stationary. It accelerates at 0.8 ms^2
for 10 s and then at 0.4 ms^2
for a further 10 s. Use
the equations of motion to deduce the car’s final displacement. You will have to split the journey
into two parts, since the acceleration changes after 10 s.
Answer:
the car’s final displacement is 60 m
Explanation:
Given;
initail velocity of the car, u = 0
acceleration of the car, a = 0.8 m/s²
time of motion, t = 10 s
The first displacement of the car:
\(x_1 = ut + \frac{1}{2} at^2\\\\x_1 = 0 + \frac{1}{2} (0.8)(10)^2\\\\x_1 = 40 \ m\)
The second displacement of the car;
acceleration, a = 0.4 m/s², time of motion, t = 10 s
\(x_2 = ut + \frac{1}{2} at^2\\\\x_2 = 0 + \frac{1}{2} (0.4)(10)^2\\\\x_2 = 20 \ m\)
The final displacement of the car;
x = x₁ + x₂
x = 40 m + 20 m
x = 60 m
Therefore, the car’s final displacement is 60 m
Which of the following materials is a mixture? A. water B. table salt C. seawater D.iron filings
Answer:
eu acho que ê a B
uma bela noite abençoada
Answer:
The answer is "B" table salt
Good look
Explanation:
true or false
As the moon orbits Earth, the absolute positions of the moon,
Earth, and the sun change
Answer:
FALSE
Explanation:
as the moon orbits earth, the ABSOLUTE position of the moon, earth, and the sun change. the moons orbit around earth is ABSOLUTELY STRAIGHT with respect to earths orbit around the sun. the amount of the moon's surface that is lit by the sun changes.A jet plane travels east for
661.8 meters in 6 seconds.
What is the velocity of the plane?
velocity = distance = time
3,970.8
Explanation:
v=661.8×6
3,970.8
jordan has a mass of 65kg and carlos has a mass of 78.0kg. jordan is running at 5.75m/s when he is tackled by carlos who is running in the opposite direction. after the collision of both players are at rest. calculate their velocity before the collision.
Given
mj = 65 kg
mc = 78 kg
voj = 5.75 m/s
after collision
vfj = vfc = 0 m/s
Procedure
The law of momentum conservation can be stated as follows. For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
\(\begin{gathered} p_o=p_f \\ m_jv_{0j}-m_cv_{0c}=0 \\ m_jv_{0j}=m_cv_{0c} \\ v_{0c}=\frac{m_jv_{0j}}{m_c} \\ v_{0c}=\frac{65kg*5.75m/s}{78kg} \\ v_{Oc}=4.8m/s \end{gathered}\)
The velocity before the collision would be 4.8m/s
the maximum force that a grocery bag can withstand without ripping is 250 n. suppose that the bag is filled with 20 kg of groceries, and lifted with an acceleration of 5.0 m/s2. do the groceries stay in the bag? justify your answer with calculations.
Yes, the groceries stay in the bag
What is newton's second law?
Newton's Second Law of Motion says that when a force acts on a mass, the mass will speed up (object). This law of motion can be seen at work when you ride your bike. The mass is your bike. The force is your leg muscles pushing on the pedals of your bike.
We calculate the force that is exerted on the bag using Newton's second law, which states that,
F= ma
m is the mass of the object in kilograms
a is the acceleration of the object in meters per second squared. And so, we got:
F= 20kg X 5 m^2
= 100 N
So, a force of 100 newtons is exerted on the bag. Since that is less than the required 250 newtons needed to rip the bag, then the bag doesn't rip, and so the groceries stay in the bag, due to the normal force exerted on them by the bag.
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find the resultant resistance of the circuit
Answer:
R = 1.71 ohms
Explanation:
Two resistors are connected in parallel. There equivalent resistance is given by :
\(\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\)
Put all the values,
\(\dfrac{1}{R}=\dfrac{1}{3}+\dfrac{1}{4}\\\\R=1.71\ \Omega\)
So, the resultant resistance of the circuit is equal to 1.71 ohms.
I need an answer ASAP, so if anyone can help right away that would be amazing!
A current-carrying wire with many loops is called
a magnetic field.
a wire coil.
a solenoid.
a bar magnet.
Answer: Solenoid
Explanation:
Answer:
Solenoid
Explanation:
Phase of matter where the volume changes and molecules collide into each other.
A. Solid
B. liquid
C. Gas
a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. How much work was done by the dog ?
The work done by the dog is 0.81J.
What is work done?Work done is a measure of energy expended in moving an object; most commonly calculated by multiplying the force by the distance.
It is said that no work is done if the object does not move.
The work done on an object is the amount of energy transferred to an object through work.
According to this question, a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. The force applied to break the bone must be calculated first as follows:
Force = mass × acceleration
Force = 0.75kg × 9.8m/s²
Force = 7.35N
Work done = 7.35N × 0.11m = 0.81J
Therefore, 0.81J is the work done by the dog.
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You are standing on a moving bus, facing forward, and you suddenly fall forward. You can imply form this that the bus’s
A 7.0 kg cannonball flying rightward at 12 hits a stationary rock. The cannonball keeps moving in the same
S
m
m
direction at 2.0 after the collision but sends the rock flying at 14 towards right
S
S
What is the mass of the rock?
Answer:
5.0 kg
Explanation:
use the equation; (m1v1i) + (m2v2i) = (m1v1f) + (m2v2f)
"A bicyclist starts from rest and accelerates along a straight path to a speed of 12.15 m/s in a time of 4.5 seconds. What is the bicyclist’s acceleration in m/s2?A. .37B. 54.7C. 2.7D. 6.8"
The bicyclist's acceleration is 2.7 m/s². Thus, Option C is the answer
Acceleration is defined as rate of change of velocity with time. Its formula is
a= \(\frac{vf - vi}{t}\)
acceleration = (final velocity - initial velocity) / time
The bicyclist's acceleration can be found using this equation:
In this case,
final velocity = 12.15 m/s
initial velocity is 0 m/s (since the bicyclist starts from rest)
time = 4.5 s
Plugging these values into the equation, we get:
a =\(\frac{12.5 - 0}{4.5}\)
a = 2.7 ms⁻²
Therefore, The correct answer is c. 2.7 m/s²
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does it take more or less force for something to slide across a surface then it does to change direction on the same surface
It take more force for something to slide across a surface then it does to change direction on the same surface
What does the word force mean?
The definition of force in physics is: The push or draw on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a trajectory and a magnitude.
Friction is the energy that opposes motion, slowing or stopping it entirely. When two things rub against one another, friction is created. Sliding friction is the resistance that any two things produce when they slide against one another. This friction, also referred to as kinetic friction, is the force required to maintain one surface moving along another.
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A Spacecraft of mass m moves around the Earth at height, h, in a uniform orbit (constant radius). The work done by the gravitational force FG in one revolution is __________ .
The work done by the gravitational force FG in one revolution is equal to negative two times We know that the work done by a force is given by the dot product of the force and the displacement.
The work done by the gravitational force in one revolution is the area of the circle enclosed by the orbit. This area is equal to 2πrh, where r is the radius of the orbit and h is the height above the Earth's surface.So, the work done by the gravitational force FG in one revolution is given by,W = -∫Fg · ds (where Fg is the gravitational force, s is the displacement, and the integral is taken around the orbit)W = -∫Fg · ds (where Fg is the gravitational force, s is the displacement, and the integral is taken around the orbit)W = -∫GMm/r²·
ds (where M is the mass of the Earth, m is the mass of the spacecraft, r is the distance between the spacecraft and the center of the Earth, and the integral is taken around the orbit)W = -GMm ∫ds/r² (since Fg = GMm/r² and Fg · ds = dW)W = -GMm ∫dθ (since ds/r = dθ)W = -GMm [θ]₂π⁰ (since the spacecraft completes one revolution in 2π radians)W = -GMm (2π) = -2GMmπThe work done by the gravitational force FG in one revolution is equal to negative two times.
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Which of the following feedbacks are definitely positive (that is, there is no uncertainty that they are positive)? [select all that apply] Laspe rate feedback Water vapor feedback Ice albedo feedback Cloud feedback Question 4 1 pts Which of these feedbacks affect the terrestrial radiation budget? [select all that apply] Lapse rate feedback Ice-albedo feedback Water vapor feedback Cloud feedback
The positive feedbacks without uncertainty are water vapor feedback. The feedbacks that affect the terrestrial radiation budget are lapse rate feedback, ice-albedo feedback, water vapor feedback, and cloud feedback.
Among the feedbacks listed, the ones that are definitely positive (without uncertainty) are: 1. Water vapor feedback: An increase in temperature leads to an increase in atmospheric water vapor content, which amplifies the greenhouse effect and further enhances warming. This feedback is positive. The feedbacks that affect the terrestrial radiation budget (the balance of incoming and outgoing radiation at the Earth's surface) are: 1. Lapse rate feedback: This feedback is related to the vertical temperature profile of the atmosphere. If the lapse rate (the rate at which temperature changes with altitude) decreases with warming, it can amplify the warming or cooling effects. It affects the radiation budget indirectly by influencing the atmospheric temperature structure. 2. Ice-albedo feedback: When temperatures rise, ice and snow cover decrease, exposing darker surfaces (such as land or ocean) that absorb more solar radiation. This leads to further warming, creating a positive feedback loop that affects the radiation budget. 3. Water vapor feedback: As mentioned earlier, an increase in temperature leads to increased atmospheric water vapor content. Water vapor is a potent greenhouse gas that affects the radiation budget by trapping outgoing longwave radiation and amplifying the greenhouse effect.b4. Cloud feedback: Changes in temperature and atmospheric moisture content can affect cloud formation and properties. Clouds can either trap heat (positive feedback) or reflect sunlight back to space (negative feedback), depending on their type, altitude, and coverage. The net effect of cloud feedback on the terrestrial radiation budget depends on the specific cloud changes in response to warming.
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How can one decrease power output while still doing the same amount of work
To decrease power output while still doing the same amount of work, one can increase the time it takes to complete the task. This means that the work is being spread out over a longer period of time, reducing the amount of power required to complete it.
There are several ways to increase the time it takes to complete a task, such as taking more breaks, slowing down the pace of work, or breaking the task up into smaller parts. For example, if you are lifting weights, you can decrease the power output by doing more repetitions with a lighter weight, or by taking longer breaks between sets. This will still allow you to achieve the same amount of work, but with less power output.
Another way to decrease power output is to use more efficient equipment or techniques. For example, if you are using a lawn mower, switching to a more energy-efficient model or using a mulching blade can reduce the amount of power needed to mow the lawn. Additionally, adjusting the technique used to complete a task can also make it more efficient and require less power.
In conclusion, decreasing power output while still doing the same amount of work can be achieved by increasing the time it takes to complete the task, using more efficient equipment or techniques, or breaking the task up into smaller parts.
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a person throws a rock straight up into the air. at the moment it leaves the person's hand it is going 29 mph. when the rock reaches its peak, how fast is it going and what is the magnitude and direction of its acceleration? ignore air drag. express your answer using appropriate mks units.
In a downward direction, the magnitude of the acceleration is negative and velocity is zero.
What is acceleration?The rate of change in velocity is defined as acceleration.The rate at which speed changes with time, in terms of both speed and direction.If a factor or an object moves in a straight line, it is said to be extended.The acceleration of the Earth is always downward.As a result, when an object is launched upward, its acceleration is directed downward.If the object is moving downward, so is the acceleration.Here,
The object would cease to move at the maximum height, and thus the velocity of the object at the peak of motion would be seen to be zero. In this case, the acceleration would be negative.To learn more about acceleration refer to :
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When summer changes to fall, what seasonal changes do plants experience? (IGNORE HIGHLIGHTED ANSWER)
Answer:
C
Explanation:
There is a decrease in temperature and daylight and plants produce less food.
Please mark brainliest!!
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A girl cycles a distance of 50 meters using a total force on the pedals of 150 N. Calculate the work done on the bicycle. (don't forget the units on your answer)
ASAP!!!PLEASE HELP!!
Explanation:
Please give a brainliest answer
A copper wire that is 1 mm thick and 30 cm long is connected to a 1 V battery.
(The resistivity of copper is 1.69 x 10-8 Ω⋅m.) Find the current in the wire in [A] assuming it's at room temperature. What is the power in [W] dissipated in the wire at room temperature?
Answer:
154.83 W
Explanation:
Applyying,
P = V²/R..................... Equation 1
Where P = power dissipated, V = voltage R = resistance
But,
R = Lρ/A................. Equation 2
Where L = length of the wire, A = crosssectional area, ρ = resistivity of the wire.
Substitute equation 2 into equation 1
P = V²/(Lρ/A)
P = AV²/Lρ........................ Equation 3
From the question,
Given: L = 30 cm = 0.3 m, ρ = 1.69 x 10⁻⁸Ω⋅m, V = 1 V.
But,
A = πd²/4, Where d = 1 mm
A = (3.14×0.001²/4) = 7.85×10⁻⁷ m²
Substitute these values into equation 3
P = (7.85×10⁻⁷×1²)/(0.3×1.69 x 10⁻⁸)
P = 154.83 W
Avery is experimenting with a simple circuit. She measures the current in the circuit three different time
The current in each experiment increases with increase in the voltage. Similarly, the association between resistance and the current in a circuit shows that increase in the resistance shows a reduction in the current, vice versa.
Ohm's Law states that the voltage across an electric conductor is directly proportional to the current(I) passing through it provided the resistant is constant.
So;
V ∝ I
V = IR
where
R = constantThe objective of this question want us to determine: How did the current change for each test provided that Avery uses a 1.5-volt battery, then she uses a 3-volt battery and lastly she uses a 9-volt battery, given that the resistance is constant through out the whole process.
In the first experiment;
1.5 = IRIn the second experiment;
3 = IRIn the third experiment;
9 = IRTherefore, we can conclude that the current in each experiment increases with increase in the voltage. Similarly, the association between resistance and the current in a circuit shows that increase in the resistance shows a reduction in the current, vice versa.
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Find the volume of a cube measuring 5 cm on each side.
The volume of a cube measuring 5 cm on each side is 125cm³.
How to calculate volume?Volume is a three-dimensional measure of space that comprises a length, a width and a height.
It is measured in units of cubic centimeters in metric, cubic inches or cubic feet in English measurement.
A cube is a regular polyhedron having six identical square faces. The volume of a cube can be calculated using the following formula:
Volume of a cube = L³
Volume of the cube with side 5cm = 5³ = 125m³
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Alai is comparing the physical property of two materials. He is hitting each with a hammer to observe what happens. What physical property of the materials is Alai most likely observing? solubility conductivity hardness odor.
Answer:
C:Hardness
Explanation:
if youre hitting something your going to see wich one breaks first
Answer:
it’s C:)
Explanation:
A 1.50 kg cart moves in a circular path of 1.30 m radius at a constant speed of 2.00 m/s. (a) Calculate the magnitude of the centripetal acceleration of the cart.
(b) Calculate the magnitude of the centripetal force on the cart.
(c) Calculate the coefficient of friction between the tires and the ground
(d) Describe the direction of the centripetal force.
Answer:
the answer is 1500 because of the internet
A student has fallen behind on her homework and suddenly realizes that a big research paper is due the next day and she has not even started working on it. She panics, staying up all night to write her paper, but still runs out of time. At the last minute, she finds a research paper online that covers the same topic as her paper, and she copies and pastes large portions of text from the website into her paper. The student’s behavior is an example of what? a violation of intellectual property rights an online invasion of privacy inappropriate use of Internet sites an incident of cyberbullying
Answer:
Violation of intellectual property rights
Explanation:
Im sorry I am late but for the future people its A! :)) Have a great day :)
What is the effect of gravity on a falling object?
Answer:
When objects fall to the ground, gravity causes them to accelerate.
a solenoid has 364 coils. the flux through each changes from 2.57*10^-5 Wb to 9.44*10^-5 Wb in 0.0154s. how much EMF is generated?
Answer:
1.62
Explanation:
comment section (credits to charlizebarth)+ correct on acellus
EMF induced in coil is directly proportional to the rate of change of magnetic flux by the flowing current with n number of turns in it.The total emf generated is 1.62 volts
Given-
Total coils in a solenoid \(N\) is 365 coils.
The change in flux is,
\(d\phi=9.44\times10^{-5} -2.57\times 10^{-5}\)
\(d\phi=6.87\times10^{-5}\)
The change in time \(dt\) is 0.0154 sec.
According to Faraday's law the EMF induced in coil is directly proportional to the rate of change of magnetic flux produced in the coil by the current i flowing in it with conductor having a finite number of turns in it.This can be given as,
\(emf=-N\dfrac{d\phi }{dt}\)
\(emf=-364\times \dfrac{6.87\times 10^{-5}}{0.0154}\)
\(emf= -1.62\)
Hence, the total emf generated is 1.62 volts.
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4. Point B on a wheel of radius 40 cm that is rotating at a constant 5. 0 revolutions
per second is located 0. 20 m from the axis of rotation. Pont A is just at the border
of the wheel. See the figure.
a) What is the angular velocity of the wheel in rad/s?
b) What point has a greater linear speed, A or B? Calculate both speeds and
compare the results.
c) What are the centripetal accelerations of points A and B due to the spin of the
wheel? Sketch the situation and represent the vectors linear velocity and
centripetal acceleration in points A and B. Assume the rotation of the wheel
to be clockwise.
Answer:
SD
Explanation:
PLEASSEEE HELPP I GIVE BRAINLYEST Label a data table so that the experimenter can record observations for the sand and water temperatures at various points.
The labelled table data hat the experimenter can record observations for the sand and water temperatures at various points is given below.
Where is the labelled table data?Here is a labeled data table for recording sand and water temperatures at various points:
Point Sand Temperature (°C) Water Temperature (°C)
1
2
3
4
5
The table is 5 columns wide and 3 rows long, with the first column labeled "Point" to indicate the location being observed, and the second and third columns labeled "Sand Temperature (°C)" and "Water Temperature (°C)" respectively to indicate the type of temperature being measured.
The cells under the "Sand Temperature (°C)" and "Water Temperature (°C)" columns are left blank to allow the experimenter to record the corresponding temperature readings for each point.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Label a data table so that the experimenter can record observations for the sand and water temperatures at various points.
the column table 5 length x 3 width