The region is a quarter of a circle with radius 3 and center at the origin, bounded by the x-axis and y-axis. The line AB is the segment connecting (0,0) and (3,3).
To use the method of cylindrical shells, we choose a height y between 0 and 3, and consider a thin vertical strip of thickness dy at that height. The strip is a short segment of the circle with radius y and center at the origin, and its length is the circumference of that circle segment.
Therefore, the volume generated by rotating the given region about the line AB is approximately 10.6 cubic units.
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What does it mean when there is a curved line going upwards on a graph?
science 8th grade :)
Answer: it is the asymptote
Explanation: a line that continually approaches a given curve but does not meet it at any finite distance.
consider the relationship between the energy of electromagnetic radiation and its wavelength. what will happen if the energy increases? the wavelength will remain the same. the wavelength will increase. the wavelength will decrease. what will happen if the wavelength increases? the energy will increase. the energy will remain the same. the energy will decrease.
Electromagnetic radiation is a sort of energy emission. This has two components, electrical and magnetic components, as is clear from the name. The radiation is hence known as electromagnetic radiation. In Fig. 1.1, it is depicted. From a very low frequency of 3 Hz to a very high frequency of 300 EHz (1 EHz = 1018 Hz), this radiation has a wide frequency range. Table 1.1 lists the metric prefixes along with their symbols.
The magnetic and electric vectors are perpendicular to one another and to the path of propagation. In Fig. 1, this is depicted. 1. Depending on the frequency, this electromagnetic spectrum is separated into different section
Wavelength and Frequency Relationship
Wavelength
According , a wavelength is the separation between two crests or troughs. It is described in the "electronic spectrum" in terms of nm. 1 nm = 10−9 m. Radiation's energy and wavelength are inversely related. In other words, energy increases when the wavelength lowers and decreases when the wavelength grows.
In the IR spectrum, wavenumber, which has the SI value of cm1, is used in place of or v.
The relationship between frequency and wavelength
where is the wavenumber, is the wavelength, c is the speed of light, and is the frequency of the radiation.
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Two forces of magnitude 40N and 70N acts on an object calculate and write the resultant force acting on the object and the resultant a
direction of force when both the force act in opposite direction
A) 70N in the direction of lesser force
B) 110N,opposite direction
C) 30N,in the direction of the greater force
D) 30N in the direction of lesser force
Explanation:
Required Answer70N-40N=30N
30N in lesser forceWhat is the momentum of a 50 kg object traveling 200 m/s
1) An astronaut has a mass of 40Kg. Calculate his weight on earth if Gravity (g) = 10m/s^2.
2) The same astronaut goes to the International Space Station. Here the gravitational pull is equal to .5 m/s^2. Calculate his weight.
3) Our astronaut friend is assigned to study a neutron star. He travels to the surface using a special suit. Here the gravitational force is terrible at 150m/s^2 What is the astronaut’s weight?
Answer:
The formula is W=mg.
1.) W=40×10=400.
2.)W=40×5=200.
3.)W=40×150=6000.
3. The disk in a computer starts to spin and spins up to 5400 rpm in 1. 5 seconds
The average angular acceleration of the hard disk is approximately 628.32 rad/s^2.
We can use the formula for average angular acceleration:
average angular acceleration = (final angular velocity - initial angular velocity) / time
where final angular velocity is the angular velocity at the end of the time interval, initial angular velocity is the angular velocity at the beginning of the time interval, and time is the duration of the time interval.
In this case, the final angular velocity is 5400 rpm, the initial angular velocity is 0 rpm (since the disk starts from rest), and the time is 1.5 seconds.
We need to convert the units of angular velocity from rpm (revolutions per minute) to rad/s (radians per second), since angular acceleration is usually expressed in radians per second squared. We can do this using the conversion factor:
1 revolution = 2π radians
So, 5400 rpm is equivalent to:
5400 rpm × (2π radians/1 revolution) = 56700 π/60 rad/s ≈ 942.48 rad/s
Similarly, the initial angular velocity is 0 rad/s.
Now we can substitute these values into the formula:
average angular acceleration = (final angular velocity - initial angular velocity) / time
= (942.48 rad/s - 0 rad/s) / 1.5 s
≈ 628.32 rad/s^2
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The given question is incomplete, the complete question is:
The disk in a computer starts to spin and spins up to 5400 rpm in 1. 5 seconds. what is the average angular acceleration of the hard disk?
Which unit abbreviation is a measurement of force?
A. m/s
B. m/s²
C. N
D. N/s
The unit abbreviation that represents a measurement of force is C. N, which stands for Newton.
What is newton unit?ewton is the force unit derived from the International System of Units (SI). It is named after Sir Isaac Newton, widely acknowledged as one of the most influential scientists of all time. The force required to accelerate a mass of one kilogram at a rate of one meter per second squared (m/s2) is referred to as one Newton.
Choice A, m/s, addresses an estimation of speed or speed (meters each second), while
choice B, m/s², addresses an estimation of speed increase (meters each second squared), which is connected with force, however not the unit of power itself.
Choice D, N/s, addresses an estimation of the pace of progress of power after some time, which is certainly not a generally involved unit in physical science.
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A wire has compasses placed around it and a current is passed through the wire. What happens to the compasses
Answer:
If you hold a compass near a wire through which current is flowing, the needle on the compass will be deflected. Since compasses work by pointing along magnetic field lines, this means that there must be a magnetic field near the wire through which the current is flowing
Explanation:
good luck
How is the answer D?
The graph that corresponds to 0.1 s in one complete cycle is graph D.
option D is the correct answer.
What is the period of a wave?The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.
Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.
From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;
Period = 1 s / 10
Period = 0.1 s
From the graphs, the only option that has one complete cycle in one second is option D.
Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.
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three collinear forces,F1=45N west,F2=63N east and an unknown force F3 are applied to an object.The resultant force of the three forces is 12N west.
Show by means of a tail to head method of vector addition how the magnitude of F3 could be found?
Take east to be the positive direction. Then the resultant force from adding F₁ and F₂ is
F₁ + F₂ = (-45 N) + 63 N = 18 N
which is positive, so it's directed east.
To this we add a third force F₃ such that the resultant is 12 N pointing west, making it negative, so that
18 N + F₃ = -12 N
F₃ = -30 N
So F₃ has a magnitude of 30 N and points west.
A pull back toy car accelerates for 1.8 seconds and covers 4 m while speeding up after being released from rest.
Answer:
Acceleration, a = 2.47 seconds
Explanation:
Given the following data;
Time, t = 1.8 seconds
Distance = 4 meters
Initial velocity = 0 m/s (since it's starting from rest)
To find the acceleration of the toy car, we would use the second equation of motion;
\( S = ut + \frac {1}{2}at^{2}\)
Where;
S represents the displacement or height measured in meters.
u represents the initial velocity measured in meters per seconds.
t represents the time measured in seconds.
a represents acceleration measured in meters per seconds square.
Substituting into the equation, we have;
Substituting into the formula, we have;
\( 4 = 0(1.8) + \frac {1}{2}*a*(1.8)^{2}\)
\( 4 = 0 + \frac {1}{2}*a*3.24\)
\( 4 = \frac {1}{2}*a*3.24\)
Cross multiplying, we have;
\( 8 = 3.24a\)
\( a = \frac {8}{3.24}\)
Acceleration, a = 2.47 seconds
An incandescent nightlight bulb costs only $.50, lasts three years and uses $0.75 of electricity each year. An LED lightbulb costs $4, lasts eleven years, and uses $0.20 of electricity a year. If the discount rate is 12%, which is the better choice?
To determine which choice is better, we need to calculate the present value (PV) of the costs associated with each lightbulb.
Let's start with the incandescent bulb. The cost of the bulb is $0.50, and it lasts for three years. Each year, it uses $0.75 of electricity. The discount rate is 12%.
To calculate the present value of the electricity cost for each year, we can use the formula
PV = C / (1 + r)^t,
where C is the cost, r is the discount rate, and t is the number of years. Plugging in the values, we have:
PV = $0.75 / (1 + 0.12)^1 + $0.75 / (1 + 0.12)^2 + $0.75 / (1 + 0.12)^3
Calculating this gives us a present value of $1.89 for the electricity cost.
Next, let's calculate the present value of the LED bulb. The cost of the bulb is $4, and it lasts for eleven years. Each year, it uses $0.20 of electricity.
Using the same formula as before, we can calculate the present value of the electricity cost for each year:
PV = $0.20 / (1 + 0.12)^1 + $0.20 / (1 + 0.12)^2 + ... + $0.20 / (1 + 0.12)^11
Calculating this gives us a present value of $1.18 for the electricity cost.
Now, we can compare the present values of the costs for each lightbulb. The incandescent bulb has a present value of $1.89, while the LED bulb has a present value of $1.18.
Since the present value of the LED bulb is lower, it is the better choice. The LED bulb is more cost-effective in the long run, even though it has a higher upfront cost. It lasts longer and uses less electricity, resulting in lower overall costs.
In conclusion, the LED lightbulb is the better choice based on the calculations of present value. It offers long-term savings due to its longer lifespan and lower electricity usage.
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Q4/ Check the result (MCQ) of the following output
1. By using cyclic exclusive-OR checksum find the final check sum of the word (110011) using right rotation of the six bits,
a. 101010
b, 111111
c. 000001
d, 000000
2. Something appears to be wrong, according to a compiler.
A debugging
B. linker.
C. editing
D. warning
3 The method through which a system directs, regulates, or commands itself in PLC.
A) Open-loop
B) Close-loop
C) Both A and D
D)Control system
1) The final check sum of the word (110011) using right rotation of the six bits by using cyclic exclusive-OR checksum is c. 000001. Hence, the correct option is c. 000001.
2) According to a compiler, something appears to be wrong, in the form of a warning. Therefore, the correct option is D. warning.
3) The method through which a system directs, regulates, or commands itself in PLC is Close-loop. Therefore, the correct option is B. Close-loop.
The result (MCQ) of the following output are as follows:
1. By using cyclic exclusive-OR checksum find the final check sum of the word (110011) using right rotation of the six bits,The final check sum of the word (110011) using right rotation of the six bits by using cyclic exclusive-OR checksum is c. 000001. Hence, the correct option is c. 000001.
2. Something appears to be wrong, according to a compiler.According to a compiler, something appears to be wrong, in the form of a warning. Therefore, the correct option is D. warning.
3 The method through which a system directs, regulates, or commands itself in PLC. The method through which a system directs, regulates, or commands itself in PLC is Close-loop. Therefore, the correct option is B. Close-loop.
So, the correct answer to question 1,2 and 3 are C, D, and B respectively.
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Write the equation for work. Then insert the known quantities
Work can be calculated with the equation given as Work = Force × Distance
What is work?When a force acts on an object to cause a displacement, it was said that work was taking place. Three variables must be known in order to calculate the work when a force causes an object to be displaced.
Work = Force × Distance is the formula for calculating work. The joule (J), also known as the Newton meter (N m), is the SI unit for work. When an object is moved over a distance of 1 m with 1 N of force, one joule is equal to the amount of work that is accomplished.
To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.
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0.00005 centimeters equals how many meters???
Answer:
0.0000005 meters
Explanation:
1 meter = 100 cms
X meters= 0.00005cm
0.00005cm/100
= 0.0000005 meters
A car weighs 3,000 kg. What is the momentum of a car travelling at 60 km/h?
Answer:
GIVEN,
MASS, m = 1500 kg
INITIAL VELOCITY,u = 36 km/h = 36*5/18 = 10 m/s
FINAL VELOCITY ,v = 72 km/h = 72*5/18= 20 m/s
FORMULA :
CHANGE IN MOMENTUM,p = mv - mu
1500*20 - 1500*10
30000 - 15000
= 15000 kg m/s
Explanation:
an object that weighs 2.450 n is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.903 s. what is the spring constant of the spring? a) 2.45 n/m b) 12.1 n/m c) 24.1 n/m d) 0.102 n/m e) 0.610 n/m
The spring constant of the ideal massless spring is approximately option c- 24.1 N/m.
The spring constant, denoted by "k," is a measure of the stiffness or rigidity of a spring. It defines the relationship between the force applied to a spring and the resulting displacement or deformation of the spring from its equilibrium position.
The period (T) of a simple harmonic oscillator is related to the spring constant (k) and the mass (m) of the object attached to the spring by the equation:
T = 2π√(m/k)
Weight of the object (W) = 2.450 N
Period (T) = 0.903 s
Acceleration due to gravity (g) ≈ 9.8 m/s²
Calculating the mass (m):
m = W/g = 2.450 N / 9.8 m/s² ≈ 0.25 kg
Calculating the spring constant (k):
k = (4π² * 0.25 kg) / (0.903 s)² ≈ 24.1 N/m
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2.) A rock is kicked off a 5m high cliff. The rock lands 7m from the base of the cliff. With what velocity was the rock initially kicked?
The velocity with which the rock initially kicked if the cliff is 5 m high and the rock lands 7m from the base of the cliff is 6.93 m / s
s = ut + 1 / 2 at²
s = Distance
u = Initial velocity
t = Time
a = Acceleration
In vertical motion,
s = 5 m
u = 0
a = 9.8 m / s²
5 = 0 + ( 1 / 2 * 9.8 * t² )
t² = 1.02
t = 1.01 s
In horizontal motion,
s = 7 m
a = 0 ( Since velocity is constant )
7 = 1.01 u + 0
u = 7 / 1.01
u = 6.93 m / s
Therefore, the velocity with which the rock initially kicked is 6.93 m / s
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Which diagram shows the most likely effect when a rock is weathered by water flowing over its entire surface
Answer:
the answer to this would be D.
Answer: Its D but it might swap to another letter so keep your eye out bud pass this test good luck
Explanation:
3. A difference between copper and plastic is that copper has a much higher
a
brittleness.
b
solubility.
c
reflectivity.
d
electrical conductivity.
Answer:
d ............................
Please awnser as fast as you can, I will give 30 points.
Why is there wind on mars and how is there wind on mars?
Answer:
Because the atmosphere is so thin, high wind velocities are needed to move sand and dust.
A cylindrical object is 3.82 cm in diameter and 8.03 cm long and weighs 57.0 g. What is its density in g/cm^3? (Put your answer in 3 significant figures)
The density of the cylindrical object is 2.88 g/cm^3.
Density is calculated by dividing the mass of an object by its volume. In this case, we are given the diameter and length of the cylindrical object, which allows us to calculate its volume.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height (or length) of the cylinder. Since we are given the diameter (which is twice the radius), we can calculate the radius by dividing the diameter by 2.
Given that the diameter is 3.82 cm and the length is 8.03 cm, we have a radius of 3.82 cm / 2 = 1.91 cm and a height of 8.03 cm.
Next, we are given the mass of the object, which is 57.0 g. Now, we can calculate the volume of the cylinder using the formula mentioned earlier.
V = π(1.91 cm)^2 * 8.03 cm = 92.42 cm^3
Finally, we can calculate the density by dividing the mass (57.0 g) by the volume (92.42 cm^3).
Density = 57.0 g / 92.42 cm^3 ≈ 2.88 g/cm^3
Therefore, the density of the cylindrical object is approximately 2.88 g/cm^3.
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A car is traveling to the right with a speed of 2.0\,\dfrac{\text m}{\text s}2.0 s m 2, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction on an icy road when the brakes are applied. The car slows down with constant acceleration for 3.0\,\text m3.0m3, point, 0, start text, m, end text until it comes to a stop. How long does it take the car to slide to a stop?
Answer:
It took the car 3 second to come to full stop
Explanation:
When the car is driving to the right at a speed of 2 m/s, and suddenly brakes giving the car a constant negative acceleration making it travel 3 meters after it stops, we can use the following kinematic equation to solve for the acceleration applied by the brakes:
\(v=v_0-a\,t\\0=2-a\,t\\a=\frac{2}{t}\)
and we use this result in the following kinematic equation for the distance traveled to find the time it took it to stop:
\(x-x_0=v_0\,t-\frac{1}{2} a\,\,t^2\\3=2\,t -\frac{1}{2} (\frac{2}{t}) \,\,t^2\\3=2\,t-t\\3=t\)
therefore, it took the car 3 seconds to come to a full stop.
Which statement BEST describes the process of playing sports?
A. No pain, no gain.
B. Rules are meant to be broken as long as nobody gets hurt.
C. You should understand the risks of each sport and listen to your body.
D. none of the above
Please select the best answer from the choices provided.
Answer:
option A because in sport pain makes a player strongest.......
Answer: Choice C: You should understand the risks of each sport and listen to your body.
Explanation: The statement that BEST describes the process of playing sports is C. You should understand the risks of each sport and listen to your body. It’s important to be aware of the potential risks associated with each sport and to pay attention to your body’s signals to avoid injury.
2. A 1,100 kg car comes uniformly to a stop. If the vehicle is accelerating at -1.2 m/s ², which force is closest to the net force acting on the vehicle? (8.6A) *
Answer:
Since the car comes uniformly to a stop, the force that acts on the vehicle is the net force whose magnitude is equal to 1320 N.
Explanation:
The force acting on the vehicle is given:
\( F = ma \)
Where:
m: is the mass = 1100 kg
a: is the acceleration = -1.2 m/s²
We can find the magnitude of the net force:
\( F = ma = 1100 kg*1.2 m/s^{2} = 1320 N \)
Since the car comes uniformly to a stop, the force that acts on the vehicle is the net force calculated above.
I hope it helps you!
Answer: its d because it said net force meaning the sum of the forces equaling to d
Explanation:
The rings of Saturn are composed of chunks of ice that orbit the
planet. The inner radius of the rings is 73,000 km, and the outer
radius is 170,000 km.
Part A) Find the period of an orbiting chunk of
The period of an orbiting chunk of ice in the rings of Saturn is approximately 333,170.7 years.
The period of an orbiting chunk of ice can be found using Kepler's third law, which states that the square of the period of an orbiting object is proportional to the cube of its average distance from the planet's center.
To find the period, we first need to calculate the average distance of the orbiting chunk of ice from the planet's center. This can be done by finding the average of the inner and outer radii of the rings:
Average distance = (inner radius + outer radius) / 2
= (73,000 km + 170,000 km) / 2
= 121,500 km
Next, we can use Kepler's third law to find the period. Let T represent the period, and r represent the average distance:
T^2 = k * r^3
Solving for T, we get:
T = sqrt(k * r^3)
Since we are only interested in the magnitude of the period, we can disregard the constant k. Thus, the period is given by:
T = sqrt(r^3)
Substituting the value of r, we get:
T = sqrt(121,500^3)
Calculating this, we find:
T ≈ 333,170.7 years
Therefore, the period of an orbiting chunk of ice in the rings of Saturn is approximately 333,170.7 years.
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CAN SOMEONE PLEASE TELL ME WHAT THIS WHEEL IS CALLED.WILL GIVE BRAINLIEST
Answer:
its a pie chart
Explanation:
.........................
Answer:
its a pie chart?
Explanation:
.......
Select all that apply. According to scientists, the distribution of volcanoes throughout the world…
Forms a specific pattern across fault lines
Corresponds to plate boundaries
Is constantly changing and shifting
Is fairly even and widespread
Answer:
Corresponds to plate boundaries
Is constantly changing and shifting
Explanation:
ten quantities that are pure numbers
Answer:
Explanation:
1, i, π, e, and φ
dozen, gross, googol, and Avogadro's number etc, are pure numbers
hope this helps
plz mark it as brainliest!
how has the atomic model has changed over time
The most recent view of the atom is the quantum mechanical model of the atom.
How has the atomic model has changed over time?We know that the atom is smallest part of the substances that can take part ion a chemical reaction.
An atomic model is a theoretical construct that explains the properties and behavior of atoms, the basic building blocks of matter. The most widely accepted atomic model is the quantum mechanical model, which describes atoms as consisting of a nucleus of protons and neutrons, surrounded by a cloud of electrons.
The electrons occupy energy levels or orbitals, and their behavior is described by the principles of quantum mechanics. The earliest atomic model was proposed by John Dalton in the early 19th century, which was a classical mechanical model.
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