Answer:
a) reactant
b) product
Explanation:
During a chemical reaction, the reactants interact among themselves in a specific temperature, pressure, pH, enzyme etc. Due to various intra and inter molecular and atomic interactions, the chemical bonds in the reactants break down. Formation of new chemical product is governed by the formation of new bond (ionic, covalent, hydrogen vander waal etc. )
help plsss asap
Estimate the lifetime of the sun using fusion as the energy source.
Make simplifying assumptions.
Assume an initial mass ratio of hydrogen to helium of 3:1.
Use these masses:
Mass of a proton: m proton = 1.6726 x 10-27 kg
Mass of Helium Nucleus: m helium nucleus = 6.6442 x 10-27 kg
Mass of a Positron: m positron = 0.0009 x 10-27 kg
The lifetime of sun is 6.11 x 10¹⁰ years.
Mass of proton, m₁ = 1.6 x 10⁻²⁷kg
Mass of Helium nucleus, m₂ = 6.64 x 10⁻²⁷kg
Mass of positron, m₃ = 0.0009 x 10⁻²⁷kg
The energy in the sun can be calculated by using the equation,
E = Mc²
E = 8.3 x 10 ²⁷x 9 x 10¹⁶
E = 7.41 x 10⁴⁴J
The luminosity of sun, L = 3.846 x 10²⁶ W
Therefore, the lifetime of sun can be calculated as,
t = E/L
t = 7.41 x 10⁴⁴/3.846 x 10²⁶
t = 19.3 x 10¹⁷s
t = 6.11 x 10¹⁰ years
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Determine the centripetal force acting on a 75 kg person standing at the equator of the earth due to the earth's rotation on its axis. What is the centripetal acceleration of this person? What if the person moves to the north or south pole?
Explanation:
The centripetal force acting on a 75 kg person standing at the equator of the earth due to the earth's rotation on its axis can be calculated using the following formula:
F = m x a
where F is the force, m is the mass of the person, and a is the centripetal acceleration.
The centripetal acceleration can be calculated using the formula:
a = v^2 / r
where v is the tangential velocity and r is the distance from the axis of rotation (in this case, the radius of the earth at the equator).
At the equator of the earth, the radius is approximately 6,378 km, and the earth completes one rotation in approximately 24 hours. Therefore, the tangential velocity can be calculated as:
v = 2 x pi x r / T
= 2 x pi x 6,378,000 m / 86,400 s
= 465.1 m/s
Using this value for v, the centripetal acceleration can be calculated as:
a = v^2 / r
= (465.1 m/s)^2 / 6,378,000 m
= 0.0339 m/s^2
Finally, the centripetal force can be calculated as:
F = m x a
= 75 kg x 0.0339 m/s^2
= 2.54 N
If the person moves to the north or south pole, they will be closer to the axis of rotation, so the radius will be smaller. At the poles, the radius is approximately 6,357 km. Using this value for r, the tangential velocity can be calculated as:
v = 2 x pi x r / T
= 2 x pi x 6,357,000 m / 86,400 s
= 368.3 m/s
Using this value for v, the centripetal acceleration can be calculated as:
a = v^2 / r
= (368.3 m/s)^2 / 6,357,000 m
= 0.0341 m/s^2
The centripetal force can then be calculated as:
F = m x a
= 75 kg x 0.0341 m/s^2
= 2.56 N
As we can see, the difference in the centripetal force between the equator and the poles is relatively small, due to the small difference in radius.
A) Rank car #1âs speed relative to the ground at the lettered times (A through E). Rank from largest to smallest. To rank items as equivalent, overlap them.
B) Briefly explain how you determined your ranking for the speed of car #1 relative to the ground.
C) Rank car #1âs speed relative to car #2 at the lettered times. Rank from largest to smallest. To rank items as equivalent, overlap them.
D) Briefly explain how you determined your ranking for the speed of car #1 relative to car #2.
E) Rank the distance between the cars at the lettered times.Rank from largest to smallest. To rank items as equivalent, overlap them.
F) Briefly explain how you determined your ranking for the distance between the two cars.
To rank car #1's speed relative to the ground at the lettered times (A through E) from largest to smallest, we need more information on the speeds at those specific times.
The ranking for the speed of car #1 relative to the ground was determined: The ranking was determined based on the given information about the speed of the car at each lettered time. The speed of the car at time A is the highest, followed by time B and so on. Thus, the ranking was established according to the given values.
The necessary information on the speeds of both cars at the lettered times, we cannot determine the ranking of car #1's speed relative to car #2. To rank the distance between the cars at the lettered times (A through E) from largest to smallest, we need more information on their positions at those specific times. We cannot determine the ranking for the distance between the two cars without the necessary information on their positions at the lettered times.
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In conclusion, the comparison and ranking of speed or distance between two cars at different time points depends on the specific data given at those points, and analyzing their changes over time will provide the best answer.
Explanation:Unfortunately, I can't give a specific rank or explanation without a graph, diagram, or set of data points to use for reference. However, to answer such a question, you would need to compare the speed, relative movement, and distance between both cars at each mentioned time point.
For example, suppose at time A, car #1 is moving faster than car #2. You'd rank car #1's speed greater at time A. However, if at time B, car #1 is stationary while car #2 is still moving, you'd rank car #1's speed lowest at time B.
In terms of the speed of car #1 relative to car #2, it depends on their comparison speed at each point in time. If at one point, both cars are moving the same speed in the same direction, they're considered at relative rest, so their relative speed to each other is zero.
The distance between two cars would be determined by subtracting the distance covered by car #1 from car #2. The larger distance it covers, the greater the gap between the two cars.
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a mass of 500g ball is kicked at angle of 45 degree to the horizontal the ball reaches 12m height what is the initial velocity
The initial velocity of a 500g ball kicked at a 45-degree angle to the horizontal and reaching a height of 12m can be calculated using the kinematic equation.
What is the kinematic equation?The equation of kinematics is a set of equations that are used to describe the motion of objects. They relate to displacement, velocity, acceleration, and time. Kinematic equations are divided into two categories, depending on the object's acceleration: zero acceleration and non-zero acceleration.
The kinematic equation for the object in motion with uniform acceleration is as follows:v^2 = u^2 + 2asWhere: v = final velocity u = initial velocity a = acceleration s = displacement. To calculate the initial velocity of the ball, we can rearrange the equation above to obtain:u^2 = v^2 - 2as From the given, a = -9.8 m/s² (negative acceleration indicates that the ball is decelerating or moving upward) s = 12m v = 0 (the final velocity is zero because the ball has stopped rising and is about to start falling). We'll use these values to calculate the initial velocity of the ball.u² = (0)² - 2(-9.8)(12)u² = 235.2u = sqrt(235.2)u = 15.33 m/s.
Therefore, the initial velocity of the ball is approximately 15.33 m/s.
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How much heat is required to raise the temperature of a 225-g lead ball from 15.0°C to 25.0°C?
The specific heat of lead is 128
J/kg • K.
It requires 288 joules of heat to raise the temperature of a 225-g lead ball from 15.0°C to 25.0°C.
How to find the heatThe formula to calculate the amount of heat, Q required to raise the temperature of an object is:
Q = mcΔT
Where:
Q = the amount of heat (in joules, J)
m = the mass of the object (in kilograms, kg)
c = the specific heat capacity
ΔT = the change in temperature
In this problem, we are given:
m = 225 g = 0.225 kg
ΔT = (25.0°C - 15.0°C) = 10.0°C
c = 128 J/kg*K
plugging in the values
Q = mcΔT
Q = (0.225 kg)(128 J/kg*K)(10.0°C)
Q = 288 J
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true or false-either a b757 or a large aircraft require 5 nm of radar separation behind a heavy jet at touchdown!
aircraft type means a particular model of aircraft as designated by the manufacturer of the aircraft.
What is aircraft type?Aviation provides the only rapid worldwide transportation network, which makes it essential for global business. It generates economic growth, creates jobs, and facilitates international trade and tourism.Civil aircraft. All nonmilitary planes are civil aircraft. These include private and business planes and commercial airliners. Private aircraft are personal planes used for pleasure flying, often single-engine monoplanes with nonretractable landing gear.An aircraft is any machine that can fly. Airplanes, hot air balloons, helicopters, or even flying platforms are considered aircraft! An airplane is a specific type of aircraft that has fixed wings and is heavier than air that is capable of sustained, powered, and controlled flight.The main sections of an airplane include the fuselage, wings, cockpit, engine, propeller, tail assembly, and landing gear. Understanding the basic functions of how these parts interact is the first step to understanding the principles of aerodynamics.The objective of safety management in the aviation industry is to prevent human injury or loss of life, and to avoid damage to the environment and to property.I think it's false
A) 0.005
B) 0.001
C)0.0495
Step-by-step explanation:
Let A be the event that an aircraft is present and let B be the event the radar registers its presence.. Thus;
P(A) = Probability that an aircraft is present
P(A') = Probability that an aircraft is not present
P(B) = Probability that the radar generates an alarm
P(B') = Probability that the radar doesn't generate an alarm
Thus from what we are given, we have;
P(A) = 0.05
P(A') = 0.95
P(B) = 0.99
P(B') = 0.01
P(B|A') = 0.1
A) Probability of a false alarm will be;
P(A' ∩ B) = P(A) × P(B|A')
P(A' ∩ B) = 0.05 × 0.1 = 0.005
B) probability of missed detection is;
0.1 × (1 - 0.99) = 0.001
C) probability that an aircraft is present given that the radar registers a presence will be;
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.05 × 0.99
P(A ∩ B) = 0.0495
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Explain the relationship between lightning and storm clouds.
Answer: Often lightning occurs between clouds or inside a cloud. But the lightning we usually care about most is the lightning that goes from clouds to ground.
Explanation: As the storm moves over the ground, the strong negative charge in the cloud attracts positive charges in the ground.
a girl stands 1.5 m in front of a plane mirror, what is the distance of her image,and what are four image characteristics
Answer:
the distance to the image is 1.5 m
Explanation:
To find the position of the image let's use the equation of the constructor
\(\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\)
where p and q are the distance to the object and the image, respectively, and f is the focal length.
In this case a plane mirror has a focal length at infinity, if we substitute in the equation
1 / p = - 1 / q
q = -p
therefore the distance to the image is 1.5 m
this image has some characteristics:
* It is a virtual image, this means that light rays do not pass through it
* It is a right image, that is, the image is in the same direction of the object.
* the magnification is 1, since the height of the image and the object are the same
* has the right - left direction reversed
You look down at your phone GPS and it tells you the local park is 2 miles away. This is not a straight path and you will need to make a few turns to get there. The path you take to the park describes your ________ from the park
Answer:
Distance.\( \infty \infty \)
Answer:
Distance
Explanation:
Because each path you take will have a different distance. Each path will be different, leading to a different distance. Hope this helped :D
An astronaut in the space shuttle is orbiting the earth at an altitude of 2.982 x 10^5 m. He sends a radio transmission to a receiving antenna directly below him on the earth. What is the time delay between the time he sends his signal and when the receiving antenna on the earth picks it up?
Does your shadow grow bigger when the sun is in front of you or behind you
Answer:
behind
Explanation:
because just because that's why lol
what is the total work wfric done on the block by the force of friction as the black moves a distance l up the incline
The total work done by the force of friction on the block as it moves a distance L up the incline is given by the formula:
Wfric = −f × L
The work done by the force of friction on the block as it moves a distance L up the incline is equal to the product of the force of friction and the distance moved. Work is the measure of the amount of energy transferred by a force when an object is moved a certain distance. If a force acts on an object and the object moves, work is done by the force. Therefore, work can be defined as the product of force and displacement.
Mathematically, it can be expressed as follows:
W = F × S
where W is work, F is force, and S is displacement. The SI unit of work is joules (J). When a block moves on an inclined plane, friction is one of the forces acting on the block. As the block moves up the plane, the force of friction acts opposite to the direction of motion of the block. Hence, the work done by the force of friction is negative. This means that the force of friction acts to decrease the energy of the block.
The work done by the force of friction on the block as it moves a distance L up the incline is given by the formula:
Wfric = −f × L
where Wfric is the work done by the force of friction, f is the force of friction, and L is the distance moved by the block up the incline. Therefore, the total work done by the force of friction on the block as it moves a distance L up the incline is given by the formula:
Wfric = −f × L
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A swimmer swims at 5 m/s. How long would it take to swim 5 laps of a 50m pool?
Compared to its value on Earth, on another planet it belongs to you the mass will be the same but your weight will be different. Why?
On a separate planet from Earth, your mass would be the same but your weight would be different due to the gravitational pull of the planet.
W = m g
W= Weight
m = Mass
g stands for gravitational acceleration.
The amount of substance in a body is measured by its mass. It is independent of all outside variables. Hence, no outside influences have an impact on its worth.
W ∝ g
As you can see, weight varies according to the force of gravity pushing on the body. A force of gravity is another name for weight. On earth, g has a different value than it does on other planets.
Gravity is a fundamental force of nature that exists between any two objects with mass or energy. It is responsible for the attraction between objects, such as planets, stars, and galaxies, and plays a crucial role in the structure and dynamics of the universe. According to the theory of general relativity, gravity is the curvature of spacetime caused by the presence of mass and energy. This means that objects with mass or energy create a distortion in spacetime that causes other objects to be attracted toward them. The strength of the gravitational force depends on the mass and distance between the objects, with larger masses and shorter distances resulting in stronger gravitational attraction.
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What conditions are necessary for a lunar or solar eclipse?
Both lunar and solar eclipses occur due to the alignment of the Sun, Moon, and Earth, but the specific conditions required for each type of eclipse are slightly different.
For a lunar eclipse to occur, three conditions are necessary:
Full Moon: A lunar eclipse can only occur during a Full Moon when the Moon is on the opposite side of the Earth from the Sun.
Alignment: The Earth, Moon, and Sun must be aligned in a straight line, with the Earth in the middle.
Angle: The Moon's orbit around the Earth is tilted at an angle of about 5 degrees to the Earth's orbit around the Sun. Therefore, for a lunar eclipse to occur, the Moon must pass through the Earth's shadow, which only happens when the alignment is just right.
For a solar eclipse to occur, three different conditions are necessary:
New Moon: A solar eclipse can only occur during a New Moon, when the Moon is between the Earth and the Sun.
Alignment: The Earth, Moon, and Sun must be aligned in a straight line, with the Moon in the middle.
Distance: The Moon's distance from the Earth can affect whether or not a solar eclipse occurs. The Moon's orbit around the Earth is elliptical, meaning that it is not always the same distance from Earth. If the Moon is too far away, it appears smaller in the sky and cannot completely block the Sun's disk, resulting in an annular solar eclipse. If the Moon is closer to the Earth, it appears larger and can fully block the Sun, resulting in a total solar eclipse.
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A car starting from rest accelerates at a rate of 8 0 m/s/s. What is its final speed at the end of 40 seconda?
i have no idea what is if you know the answer, can you please answer it?
Answer:
you have to organize the data. a= acceleration vi=inicial velocity vf=final velocity t=time.
a=80m/s
vi=0
vf=?
t=40 s
the formula you have to use is:
vf=vi+a*t (final velocity= inicial velocity plus acceleration times time)
Explanation:
I was the best one at my class, hope it helped
Answer: 320 m/s
Explanation: V initial = 0, V final= ? Acceleration = 8m/s/s t=40s
So at the end of V 40 sec= v intial + acceleration x Δt = 0 +8m/s² x 40s = 320m/sYou have your headphones turned all the way up (100 dB).
a. If you want them to sound half as loud, to what decibel level must the music be set?
b. If you want them to sound 1/4 as loud, to what decibel level must the music be set?
Answer:
a. 90 dB
b. 80 dB
Explanation:
The given parameter of the sound is as follows;
The level to which the headphones are tuned = All the way up
The intensity of the sound of the headphones when tuned all the way up = 100 dB
a. The relationship between level change in loudness, ΔL, and the ratio of loudness, 'x', is presented as follows;
ΔL = 10·log₂(x) ≈ 33.22·log(x)
Therefore, for a sound to be half as loud, we have x = 1/2, therefore;
ΔL = 10·log₂(1/2) = 10·log₂(2⁻¹) = -10 ≈ 33.22·log(1/2)
The change in the intensity level for a sound half as loud, ΔL = -10 dB
Given that the sound was initially at 100 dB, the new level for a sound half as loud = 100 dB + ΔL = 100 dB - 10 dB = 90 dB
The decibel level the music must be set for a sound half as loud = 90 dB
b. In order for the sound to be 1/4 as loud, we have;
ΔL = 10·log₂(1/4) = 10·log₂(2⁻²) = -20
Therefore, the change in the level of the sound intensity level, ΔL by -20 dB will given a sound that is 1/4 as loud
The initial intensity level = 100 dB
The intensity level for a sound 1/4 as loud = 100 dB - 20 dB = 80 dB
doss cheerleading have physics in it?
PLS HELP!!
The parabolic flight of an object is known as _______________.
answer questions show work #3
3. Determine the value of ID and VDs for the DS following amplifier. 10 RD 10V 3KD Points 0.47μF 01 G= 0.47μF Hilt RG 1.5MO -1V N5486 VGSoff = -4V IDSS = 14mA
The given amplifier circuit is a common-source amplifier. The equivalent circuit diagram of the amplifier includes a MOSFET N5486 transistor. We can determine the drain current (ID) and drain-source voltage (VDS) using the following equations:
1. Voltage at the source terminal (VS) is calculated using Ohm's law: VS = IS x RS.2. The drain current (ID) can be calculated using the equation ID = IS (1 + GVin), where Vin is the input voltage, G is the voltage gain, and IS is the current flowing through RD.Let's calculate the values of ID and VDS:
Given:- IS = VDD / RD = 10V / 10Ω = 1A- Vin = -1V / (1.5 x 10^6Ω + 0.47μF) = -0.6666667μA (using voltage divider rule)- G = -RD / RS = -10Ω / 3kΩ = -0.003333 Calculating ID:ID = 1A (1 - 0.003333 x 0.6666667 x 10^6)≈ 0.997A = 997mACalculating VDS:VDS = VDD - IDRD= 10V - 997mA x 10Ω≈ 10V - 9.97V≈ 0.03VTherefore, the values of ID and VDS are approximately ID = 997mA and VDS ≈ 0.03V, respectively.
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A 12 kg object speeds up from an initial velocity of 10 m:s-1
north to a final velocity of 15 m.s-north. Calculate the
change in momentum.
Select one:
a. -60 kg.m/s
b. 60 kg.m/s
C. -80 kg.m/s
d. 300 kg.m/s
Momentum = m • v
Original momentum = m • 10 m/s north
Final momentum = m • 15 m/s north
Change = m • (15 - 10) m/s north
Change = m • +5 m/s north
Change = +60 kg-m/s north
Deprotonation of a terminal alkyne results in an alkynide ion, which exhibits a negative charge associated with a lone pair that occupies a(n) ___________ orbital.
Deprotonation of a terminal alkyne results in an alkynide ion, which exhibits a negative charge associated with a lone pair that occupies a(n) sp hybridized orbital.
When a terminal alkyne undergoes deprotonation, the removal of a proton from the terminal carbon atom results in the formation of an alkynide ion. The alkynide ion contains a negative charge that is associated with a lone pair of electrons, which occupies a p-orbital. This p-orbital is perpendicular to the plane of the molecule and lies along the axis of the carbon-carbon triple bond.
The alkynide ion is a very strong base due to the stability of the resulting anion. This base can be used in various reactions to form new carbon-carbon bonds or as a nucleophile in substitution reactions. Additionally, alkynide ions can be used as ligands in organometallic chemistry due to their ability to donate electrons to metal centers. In summary, deprotonation of a terminal alkyne leads to the formation of an alkynide ion that has a negative charge associated with a lone pair of electrons occupying a p-orbital.
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The velocity of a small ladybug that's sitting on the edge of a rotating disk (like an old vinyl album) increases as the lady bug walks _____________.
a. to the the outer edge of the disk
b. along a circular path at a constant radius
The velocity of a small ladybug that's sitting on the edge of a rotating disk (like an old vinyl album) increases as the lady bug walks along a circular path at a constant radius.
Explanation: The acceleration experienced by the ladybug is due to centripetal acceleration, which is always perpendicular to the ladybug's velocity. Because acceleration is a vector quantity, the centripetal acceleration vector constantly changes direction as it points toward the rotation axis. To comprehend why the ladybug's velocity varies as it moves around the disc, consider two distinct locations on the ladybug's path. The first location is at the top of the circle, and the second location is halfway down the circle. Because of the centripetal acceleration, the ladybug moves in a circle. As a result, it must have a net force toward the centre of the circle. The ladybug's direction of motion is perpendicular to the force acting on it. So, the ladybug accelerates toward the centre of the circle, and its speed varies. The ladybug is initially stationary when it begins its journey around the circle. When it moves along the circle path at a constant radius, its velocity grows due to centripetal acceleration. It is said that the velocity of the ladybug increases as it travels along a circular path with a constant radius. So, the correct answer is option b.
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How many forces are used in a catapult ( please help me asap I have a presentation due tomorrow and. I need help starting
Answer:
Hey buddy, here is your answer.Hope it helps you.
Explanation:
A catapult is a launching device that allows us to experimentally observe projectile motion. Once the ball is launched, the only forces acting are gravity and air resistance.
An Lois Lane weighs 480 N on Earth. Superman takes Lois Lane to the planet Krypton to meet the parents. Krypton has a mass and diameter each 10 times that of Earth. Determine her weight at a distance of two Kryptonian radii above that planet.
Krypton was soon revealed to have formerly been a planet like Earth, only older by eons and possessing. All the advantageous advancement that entailed, starting in the Superman comic strip (though the downside was the hint that Krypton exploded due mainly to old age).
What Kryptonian radii above that planet?Superman's ability to defy gravity is also explained by another school of thinking, although with a slight variation. Krypton was a gigantic planet with a gravity so strong that typical humans would be crushed beneath its gravitational pull because it was about 1000 times bigger than Earth.
Therefore, Krypton, which was about 1.5 times the size of Earth and was located 50 light-years from the Sun, orbited the red star Rao.
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is the threat of or actual use of physical force against oneself or another person.
A. Hazing
B. Conflict
C. Mediation
D. Violence
Answer:
D. Violence
Explanation:
Violence is the threat of or actual use of physical force against oneself or another person. Violence often results in injury or death.
Answer:
D.Violence
Explanation:
You're welcome!
the _____________ of a lens or mirror is a point on the optic axis a distance f in front of or behind the lens or mirror.
The correct term to fill in the blank is "focal point." This point is called the focal point, or principal focus, of the lens.
For a lens, or a spherical or parabolic mirror, it is a point onto which collimated light parallel to the axis is focused. Since light can pass through a lens in either direction, a lens has two focal points—one on each side. The distance in air from the lens or mirror's principal plane to the focus is called the focal length.
Refraction of the rays of light reflected from or emitted by an object causes the rays to form a visual image of the object. This image may be either real—photographable or visible on a screen—or virtual—visible only upon looking into the lens, as in a microscope. The image may be much larger or smaller than the object, depending on the focal length of the lens and on the distance between the lens and the object. The focal length of a lens is the distance from the centre of the lens to the point at which the image of a distant object is formed. A long-focus lens forms a larger image of a distant object, while a short-focus lens forms a small image.
This point is called the focal point, or principal focus, of the lens.
The correct term to fill in the blank is "focal point."
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A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (1⁄4u2) N, where u is in radians, is applied to the cord, determine the disk’s angular acceleration when it has turned 5 revol
A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (1⁄4θ²) N, where θ is in radians, is applied to the cord, determine the disk’s angular acceleration when it has turned 5 revolutions. The disc has an initial angular velocity \(\omega _o = 1 \ rad/s\) and radius from the center of the disc = 300 mm
Answer:
the angular acceleration = 205.706 rad/sec²
Explanation:
GIVEN THAT:
The disc mass = 8 kg
Force = \(\dfrac{1}{4} \ \ \theta ^2* N\)
We are told that the given θ is in radians; Therefore; the when it has turned 5 revolutions; we have the θ to be:
\(\theta = 5 rev * (\dfrac{2 \ \pi * rad}{1 rev}) \\ \\ \theta = 10 \ \pi \ rad\)
Also;
the initial angular velocity \(\omega _o = 1 \ rad/s\)
radius from the center of the disc = 300 mm = 0.3 m
Thus; the mass moment about the Inertia can be determined via the following expression;
\(I_o = \dfrac{1}{2}*m*r^2\)
\(I_o = \dfrac{1}{2}*8*0.3^2\)
\(I_o = 0.36 \ kg/m^3\)
Now to calculate the angular acceleration; we equate the sum of the moments acting on the Inertia;
SO:
\(\sum M_o = I_o \alpha\)
\(F*0.3 = 0.36* \alpha\)
\(\dfrac{1}{2}* \theta^2 *0.3 = 0.36* \alpha\)
\(\alpha = 0.20836 \ \theta^2 \ rad/sec^2\)
\(\alpha = 0.20836 \ (10 \ \pi )^2 \ rad/sec^2\)
\(\alpha = 205.706 \ rad/sec^2\)
Hence; the angular acceleration = 205.706 rad/sec²
A 13.0 nC charge is at x = 0cm and a -1.2 nC charge is at x = 6 cm. At what point or points on the x-axis is the electric potential zero?
The point where the electric potential is zero is 65 cm from the 13.0 nC charge and 6 cm from the -1.2 nC charge. There is only one point at which the electric potential is zero on the x-axis.
To determine the point at which the electric potential is zero, we should use the formula for electric potential due to a point charge given by;`V=kq/r` Where`V`is the electric potential, `k`is Coulomb’s constant`
= 9 × \(10^9 Nm^2/C^2\)
`q`is the magnitude of the charge in Coulombs, `r`is the distance between the charges in meters.The total electric potential due to both charges is the sum of the electric potential due to the 13.0 nC charge and the electric potential due to the -1.2 nC charge.`
V = V1 + V2``V
= kq1/r1 + kq2/r2``
At the point where the electric potential is zero,`V1 = -V2``kq1/r1
= kq2/r2``r2/r1
= -q1/q2``r2
= -6*13/-1.2
= 65cm
Therefore, the point where the electric potential is zero is 65 cm from the 13.0 nC charge and 6 cm from the -1.2 nC charge. There is only one point at which the electric potential is zero on the x-axis.
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Question 1 (5 points)
If you pass an electric current through an iron nail, you will create an electromagnet.
This magnet will pick up small objects, thus demonstrating that electrical energy can
be converted into mechanical energy. Is there a way to use this principle to create a
motor?
An electromagnet is made when when current is passed through a coil of
wire wrapped around an iron nail. The nail becomes magnetic and able to
pick up metallic objects.
The principle can be used to create an electric motor motor by forming a
current carrying coil into which is attached a movable core that is attached
to a spring.
Based on the arrangement, when a current flows in the coil, the movable
core, known as the armature, is pulled into the the coil and when the
current is switched off the spring pushes the armature out again.
The mechanical energy of the motion of the armature can be used to put
switches on or off, and to open and close valves.
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