The angular acceleration of the tyres is -4.213 rad/\(s^{2}\) .
CalculationHere we have to use the third equation of motion in case of rotational motion so as to calculate the angular acceleration of the tires. It is given by
\(w\w\limits^2_f =w\w\limits^2_i + 2\alpha \theta\)
Then, converting the transitional velocity to rotational velocity,
vi = 95km/hr = 95 x 5/18 m/s = 26.39 m/s
vf = 55 km/hr = 55 x 5/18 m/s =15.28 m/s
Diameter of tire = 0.80m
Radius of tire = Diameter of tire/2 = 0.80/2 = 0.40m
Therefore,
wi = \(\frac{vi}{r}\) = 26.39/0.40 rad/s = 65.98 rad/s
wf = \(\frac{vf}{r}\) = 15.28/0.40 rad/s = 38.20 rad/s
\(\theta\) = 65 revolutions= 2\(\pi\) x 65 = 408.40 radians
so we have,
\(\alpha\) = \(\frac{w_{f}^2 - w_{i}^2 }{2 \theta }\) = \(\frac{38.20^2 - 65.98^2}{2*408.4}\)= -4.213 rad/\(s^{2}\)
Hence the angular acceleration of the Tyres is -4.213 rad/\(s^{2}\).
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7. (a) How much heat energy would be required to convert 2.5kg of ice at 10 °C to steam at 100 °C?
Answer:
the answer up top is correct
A) Calculate the torque required to accelerate the Earth in 7 days from rest to its present angular speed about its axis. (b) Calculate the energy required. (c) Calculate the average power required.
Answer:
A) 1.3013476 × 10²⁸ N·m
b) 2.8618128 × 10²⁹ J
c) 4.73183333 × 10²³ W
Explanation:
The mass of the Earth, M = 5.972 × 10²⁴ kg
The radius of the Earth, R = 6,371 km
The angular speed of the Earth, ω = 2·π/(24 hr) = 7.27220522 × 10⁻⁵ rad/s
The shape of the Earth ≈ Spherical
The moment of inertia of a sphere, I = (2/5)·M·R²
The angular acceleration of the Earth in 7 days from rest its present angular speed, ω, is given as follows;
α = 7.27220522 × 10⁻⁵ rad/s/((7 × 24 × 60 × 60) s) = 1.2024149 × 10⁻¹⁰ rad/s²
Torque, τ = I × α
∴ τ = (2/5) × 5.972 × 10²⁴ × 6,731,000² × 1.2024149 × 10⁻¹⁰ = 1.3013476 × 10²⁸
The torque required, τ = 1.3013476 × 10²⁸ N·m
b) The energy required, \(K.E. _{(Rotational)}\) = 1/2 × I × ω²
∴ \(K.E. _{(Rotational)}\) = (1/2) × (2/5) × 5.972 × 10²⁴ × 6,731,000² × (7.27220522 × 10⁻⁵ rad/s)²
The energy required, \(K.E. _{(Rotational)}\) = 2.8618128 × 10²⁹ J
c) Power = Energy/Time
Therefore, the average power required, P = \(K.E. _{(Rotational)}\)/Time
∴ P = 2.8618128 × 10²⁹ J/(7 × 24 × 60 × 60) s) = 4.73183333 × 10²³ Watts
The average power required, P = 4.73183333 × 10²³ Watts.
1) Freddy drives 4 miles east to his friend's house. He then travels 9 more miles east to the supermarket. Finally on his way back home he out
of gas 6 miles after leaving the supermarket. What distance did Freddy travel?
A.6 miles
B.19 miles
C.10 miles
D.15 miles
Answer:
B. 19milesExplanation:
If Freddy drives 4 miles east to his friend's house. He then travels 9 more miles east to the supermarket. Finally on his way back home he out of gas 6 miles after leaving the supermarket, the distance travel by fred will be the sup of all the distances he covered throughout the journey.
Distance covered by fred = 4miles + 9miles + 6miles
Distance covered by fred = 13miles + 6miles
Distance covered by fred = 19miles
what part of the spectroscope separates entering light into its component wavelengths?
The part of the spectroscope that separates entering light into its component wavelengths is the diffraction grating.
A spectroscope is a device used to detect and analyze light. The light entering the spectroscope is separated into its component wavelengths by a diffraction grating or a prism. The spectroscope works by diffracting or refracting light into a spectrum of wavelengths, which can then be viewed and analyzed by the user. The diffraction grating separates light into its component wavelengths by using a series of closely spaced lines or grooves that are ruled onto a flat surface. As the light passes through these grooves, it is diffracted or bent, causing the light to separate into its individual wavelengths.
The wavelengths are then projected onto a screen or detector, where they can be viewed and analyzed. The prism, on the other hand, works by refracting light as it passes through the glass. The amount of refraction is dependent on the wavelength of the light, causing the different wavelengths to be separated and form a spectrum of colors. The spectrum can then be viewed and analyzed by the user.
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Christmas is the best holiday true or false
two cars drive from one stoplight to the next, leaving at the same time and arriving at the same time. is there ever a time when they are going the same speed? prove or disprove.
Yes, the cars will have a time when the two cars are traveling at the same speed if they leave at the same time and arrive at the same time.
Let's assume that the two cars have different velocities and their positions at any given time can be represented as x₁(t) and x₂(t), where t is the time in seconds. We know that the two cars leave at the same time and arrive at the same time, so the time taken for both cars to travel from the starting point to the end point is the same. Let's call this common time "t".
So, x₁(t) = x₂(t) (both cars arrive at the same point)
Differentiating both sides with respect to time, we get:
v₁ = v₂
where v₁ and v₂ are the velocities of the two cars.
Therefore, if the two cars leave at the same time and arrive at the same time, then there must be a time when they are traveling at the same velocity.
This can be proven using calculus by showing that if the two cars have different velocities at any given time, then there must be a point in time when their velocities are equal. This is because the derivative of the difference in their positions with respect to time (x₁(t) - x₂(t)) is the difference in their velocities (v₁ - v₂), which must be non-zero for any non-zero difference in their positions. Since the derivative of a continuous function can only change sign at a point where it is zero, there must be a time when v₁ = v₂.
Therefore, we have proved that there must be a time when the two cars are traveling at the same speed if they leave at the same time and arrive at the same time.
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--The complete question is, Two cars drive from one spotlight to the next, leaving at the same time and arriving at the same time. Is there ever a time when they are going the same speed? Prove or disprove.--
Which list contains only vector quantities?
A energy, force, velocity
B speed, acceleration, force
C velocity, energy, acceleration
D velocity, force, acceleration
Is any of this right?
suppose you lift a stone that has a mass of 5.9 kilograms off the floor onto a shelf that is 0.5 meters high. how much work have you done?
Work done to lift the stone of mass 5.9 kg is 28.91 J.
The work done through pressure is made of the displacement and the component of the carried-out force of the object inside the direction of displacement. whilst we push a block with a few pressure ' F ' the body movements with a few accelerations, paintings are carried out. paintings executed is written as W = F.
The paintings executed by using pressure are defined to be manufactured from the aspect of the force in the path of the displacement and the significance of this displacement. formula. work can be calculated by multiplying pressure and Distance within the course of force as follows. W = F × d.
Work is achieved whenever a pressure actions something over a distance. you can calculate the strength transferred, or work carried out, by multiplying the pressure via the space moved in the route of the pressure.
Calculation:-
mass = 5.9
g = 9.8 m/s
f = 0.5 m
work done = mgh
= 5.9 × 9.8 × 0.5 J
= 28.91 J
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A + 9.4 nC point charge and a - 2.31 nC point charge are 4.94 cm apart. What is the electric field strength at the midpoint between the two charges?
Given:
The charge is q1 = 9.4 nC
The charge q2 = -2.31 nC
The distance between them is r = 4.94 cm
To find the electric field strength at the midpoint between two charges.
Explanation:
The electric field strength at the midpoint will be the sum of electric field strength due to q1 and q2.
The electric field strength can be calculated by the formula
\(E=\frac{kq}{r^2}\)Here, k is the electrostatic constant whose value is
\(k=9\times10^9\text{ N m}^2\text{ /C}^2\)The electric field strength due to the charge q1 is
\(\begin{gathered} E_1=\frac{kq1}{(\frac{r}{2})^2} \\ =\frac{9\times10^9\times9.4\times10^{-9}}{(\frac{4.94}{2}\times10^{-2})^2} \\ =1.39\times10^5\text{ V/m} \end{gathered}\)The electric field strength due to the charge q2 is
\(\begin{gathered} E_2=\frac{kq2}{(\frac{r}{2})^2} \\ =\frac{9\times10^9\times2.31\times10^{-9}}{(\frac{4.94}{2}\times10^{-2})^2} \\ =3.4\times10^4\text{ V/m} \end{gathered}\)The electric field strength at the midpoint will be
\(\begin{gathered} E=E_1+E_2 \\ =(1.39\times10^5)+(3.4\times10^4) \\ =173000\text{ V/m} \end{gathered}\)Thus, the electric field strength at the midpoint between the two charges is 173000 V/m
a curve ball is a type of pitch in which the baseball spins on its axis as it heads for home plate. if a curve ball is thrown at 37.3 m/sm/s (83.4 mphmph ) with a spin rate of 33 rev/srev/s , how many revolutions does it complete before reaching home plate? assume that home plate is 18.3 mm (60 ftft ) from the pitching mound and that the baseball travels at a constant velocity.
The correct answer is 16.19 revolutions.
Let the home plate is 18.3 m (60 ft) from the pitching mound and that the baseball travels at a constant velocity.
Given that,
Velocity of ball = v = 37.3 m/s
Spin rate of ball = 33 revolutions/s
Distance between home plate and pitching mound = s = 18.3 m
We need to find the number of revolutions it complete before reaching home plate. It can be calculated as follows:
n = 33 * (18.3/37.3)
n = 16.19
So, there are approximately 16 revolutions.
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What is the answer for question 7?
Answer:
Jumping on a trampoline.
Answer:
Explanation:
The Sun is supported against the crushing force of its own gravity by
Select one:
A. thermal pressure
B. electron degeneracy pressure
C. neutron degeneracy pressure
D. the force exerted by escaping neutrinos.
E. none of these
The Sun is supported against the crushing force of its own gravity by thermal pressure. The Sun is a giant ball of hot gas, and the heat from the nuclear reactions at its core creates pressure that pushes outward. This pressure balances the inward pull of gravity, keeping the Sun from collapsing.So option A is correct.
The Sun is supported against the crushing force of its own gravity by the process of hydro static equilibrium. This balance is maintained between the inward gravitational force and the outward pressure gradient resulting from the high temperature and density at the Sun's core. Thermal pressure, created by the high temperature and the thermal motions of gas particles, plays a significant role in supporting the Sun against gravity. The other options are not correct. Electron degeneracy pressure is the pressure exerted by electrons in a degenerate gas, which is a gas that is so dense that the electrons are forced to occupy the same quantum states. Neutron degeneracy pressure is the pressure exerted by neutrons in a degenerate gas. The force exerted by escaping neutrinos is a very small force that is not enough to support the Sun against gravity.Therefore option A is correct.
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A car travels 500 miles east in 10 hours. What is the velocity of the car?
Show Your Work.
Do Not Forget Your Correct Units.
Answer:
50m/s
Explanation:
500/10 to find the velocity always divide
the distance bt the time
A. It Implies That M Is Finitely Generated. B. It Implies That M Has Nonzero Elements Of Nonzero Order. C. When Every Non-Null Element Has Null . D. In The Case That The Ring R Is A Body. E. None Of The Above Alternatives Gives A
Which of the following alternatives give a true statement. Justify your answer.
A modulus M over a ring R has a finite basis:
a. It implies that M is finitely generated.
b. It implies that M has nonzero elements of nonzero order.
C. When every non-null element has null .
d. in the case that the ring R is a body.
e. None of the above alternatives gives a true statement.
Which of the following statements are true?
a. If a subset of a module generates that whole module, then the subset cannot be
empty.
b. Every submodule S of a module M verifies the inequality C. Two different subsets of M have to generate two different submodules of M.
d. If S generates a submodule N of the module M, then contains S.
e. Neither statement is true.
The correct answer is e. None of the above alternatives gives a true statement. None of the statements in options a, b, c, and d are true when it comes to a modulus M over a ring R having a finite basis.
When a modulus M can be formed entirely from a finite set of elements, the modulus M is said to be finitely generated. M's finite basis does not, however, automatically imply that M is finitely generated. A basis is a set of linearly independent elements, and it might not be enough to produce all of the components of the modulus.
According to the assertion in option b, M must include nonzero items of nonzero order if it has a finite basis. This is untrue, though. The smallest positive number k, such that the element raised to the power of k equals the identity element, is referred to as the order of an element.
According to option c, every non-null element in a modulus with a finite basis has a null. Nevertheless, this claim is likewise untrue. It is possible for a modulus with a finite basis to have non-null elements without a null element.
According to option d, a ring R is a body, or a field, and only then can a modulus have a finite basis. However, this assertion is also untrue. Even though the ring R is not a field, a modulus can nonetheless have a finite basis. None of the given alternatives provides a true statement about a modulus M over a ring R having a finite basis.
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Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound?
The height, h to which the package of mass m bounces to depends on its initial velocity, v and the acceleration due to gravity, g and is given below:
\(h = \frac{v^{2}}{2g}\)
What are perfectly elastic collision?Perfectly elastic collisions are collisions in which the momentum as well as the energy of the colliding bodies is conserved.
In perfectly elastic collisions, the sum of momentum before collision is equal to the momentum after collision.
Also, the sum of kinetic energy before collision is equal to the sum of kinetic energy after collision.
Since some of the Kinetic energy is converted to potential energy of the body;
\(\frac{mv^{2}}{2} = mgh\)
\(h = \frac{v^{2}}{2g}\)
Therefore, the height to which the package m bounces to depends on its initial velocity and the acceleration due to gravity.
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List one benefit and one limitation of using scientific models.
Answer:
the benefit is that they can see and experiment on the model but some times the model isn't accurate resulting in immediate failure
im only 13 sorry if this is wrong i tried.
In general, we consider a capacitor to be fully discharged after how many time constants?.
In general, we consider a capacitor to be fully discharged after every 5 time constants.
A capacitor is an electric device used to store an electric charge. Capacitors consist of one or more pair of conductors separated by an insulator. These devices stores electrical energy by accumulating electric charges on two close surfaces that are insulated from each other.
A capacitor can be charged and discharged. When the power supply is connected to the capacitor, then it is charged. However, when the power supply is removed from the capacitor, the discharging phase begins.
A fully discharged capacitor is that which maintains zero volts across its terminals. In RC discharging circuit, it is noticed that after every five time constant, the voltage across the capacitor's plates becomes more less than 1% of the initial value.
Hence, a capacitor can be fully discharged after every five time constant.
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A 188 W motor will lift a load at a rate of 0.065 m/s. How heavy of a load can the motor
lift at this rate?
Answer:
2892.31 N
Explanation:
Applying,
P = F×v................ Equation 1
Where P = power of the motor, F = Weight of the load the motor can lift, v = velocity
make F the subject of the equation
F = P/v.............. Equation 2
Given: P = 188 W, v = 0.065 m/s
Substitute into eequation 2
F = 188/0.065
F = 2892.31 N
Hence the weight of the load is 2892.31 N
what is the correct answer?
Answer:
Option (3)
Explanation:
From the graph attached,
Zeros of the function are, x = -3,
Graph of the polynomial touches x axis at x = -3, 1 and 3
Therefore, equation of the given function will be in the form of,
P(x) = \(k(x+3)^a(x-1)^b(x-3)^c\)
Since, graph of the function just touches the x-axis, multiplicity of zero at x = -3 will be even and crosses x-axis so the multiplicity at x = 1 and 3 will be odd.
Therefore, possible function will be,
P(x) = \(k(x+3)^2(x-1)(x-3)\)
Since, y-intercept of the function is at (0, -3),
P(0) = k(0 + 3)²(0 - 1)(0 - 3)
-3 = 27k
k = \(-\frac{3}{27}=-\frac{1}{9}\)
Therefore, given polynomial function is,
P(x) = \(-\frac{1}{9}(x+3)^{2}(x-1)(x-3)\)
Option (3) will be the correct option.
What is a product made from nonrenewable resources?Which is the best example of reusing?
Answer:
the level on the top
Explanation:
_+$+$
How many complete wavelengths are shown in this image? Do not count any partial wavelengths.
7
4
1
3
Answer:3
Explanation: I just took the quiz
The distance between two successive troughs or crests is known as the wavelength There are 3 complete wavelengths are shown in this image.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometres, and other units since it is a distance measurement.
Hence Option D is correct. There are 3 complete wavelengths are shown in this image.
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Which of the following is NOT TRUE of elements?
Answer:
all parts are aline
the last option
Gamma-ray bursts from space were first detected by the ___________ satellites launched by the Defense Department (and later this information was shared with American scientists.) In 1991, NASA launched the __________ Observatory to identify and study more gamma ray bursts. This space observatory revealed that the bursts were distributed _________________ around the sky; they did not come more often from the plane of the Milky Way Galaxy. These early observations could not pinpoint the location of the gamma-ray bursts because they did not have sufficient________________ It was not until the launch of ____________________the satellite in 1996 that we got precise enough locations so that other telescopes could find the afterglow of a burst. These observations showed that the bursts were located in ________________
Gamma-ray bursts from space were first detected by the Vela satellites launched by the Defense Department (and later this information was shared with American scientists.) In 1991, NASA launched the Compton Gamma Ray Observatory to identify and study more gamma-ray bursts.
This space observatory revealed that the bursts were distributed isotropically around the sky; they did not come more often from the plane of the Milky Way Galaxy. These early observations could not pinpoint the location of the gamma-ray bursts because they did not have sufficient positional accuracy. It was not until the launch of the BeppoSAX satellite in 1996 that we got precise enough locations so that other telescopes could find the afterglow of a burst. These observations showed that the bursts were located in other galaxies.
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A concave lens is shown here. According to the model, a lens disperses rays after passing through it. Which item below most likely uses a concave lens to perform its typical function?
The item that most likely uses a concave lens to perform its typical function is a concave lens .
What is a concave lens?A concave lens is a lens that is thinner at the center and thicker at the edges, causing it to diverge parallel rays of light.
How is a concave lens used in a camera?A concave lens is used in a camera to allow the photographer to adjust the focus of the camera by moving the lens closer to or farther away from the film or sensor. When the lens is moved closer to the film or sensor, it increases the distance between the lens and the object being photographed, causing the image to appear larger and bringing objects into focus that were previously blurry.
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i need help please and don't be putting random things i will report
Answer:
1: Because matter has many different forms.
2: The materials that are shown can be organized into 3 different forms; solid, liquid, and gas.
3: The image of the liquids is most likely a material that cannot be found in nature. Liquids have many useful properties, but it depends on the liquid. Bleach is a liquid that has is very useful for sterilizing. Water is useful because without it, life on earth would not exist. And there are many more liquids, but I am going to cut it short here because there too many to put down.
Explanation:
Pls mark Brainliest with the crown.
I’m pretty sure it’s a,h I just need a second opinion
The vectors are said to be equal if they have same magnitude as well as same direction.
In case of C and G,
The direction of both the vectors are same but the magnitude of G is more than C.
Thus, C and G are not equal vectors.
In case of E and D,
Both the vectors have opposite direction to each other and the magnitude of D is more than E.
Thus, E and D are not equal vectors.
In case of B and C,
Both the vectors have same direction but the magnitude of C is more than the magnitude of B.
Thus, B and C are not equal vectors.
In case of A and H,
Both the vectors have same direction and both the vectors cover three boxes, thus, the magnitude of the vectors is same.
Hence, A and H are equal vectors.
c. If the box experiences a force of 15 N to the left, along with the 20 N force acting to the right, what is the net force on the box?
According to the data given in the question the net force on the box is of 5 N.
What does net force mean?All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.
Given data :
Force on box to the left side (F1) = 15 N
Force on box to the right side (F2) = 20 N
Because both forces are in opposite direction
Hence,
Net force = F2 - F1
Net force = 20 - 15
Net force = 5 N.
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Frosted glass is an example of which type of material?
it is an example of a translucent object
A
heat engine is measured to have 30% efficiency. Is the theoretical
efficiency going to be greater or less than that? Why?
The theoretical efficiency is greater than that of the actual efficiency of the engine. This is because heat engine always produces some waste heat.
The Second Law of Thermodynamics states that a heat engine cannot be 100% efficient. In practice, a heat engine is only 100% efficient when it is operating at about 30-50% efficiency.
If we were to multiply this by 100, we would get the efficiency as a percent: 49%. This is the theoretical maximum efficiency. If we were to actually build an engine, it would be less efficient than the theoretical engine. The theoretical engine that can achieve this theoretical maximum efficiency is called the Carnot Engine.
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