The net charge within the sphere's surface is 2.36 x 10^-7 C and it can be deduced that the charge within the spherical shell is positively charged and uniformly distributed on its surface.
(a) To ascertain the net charge enclosed within the boundaries of the spherical shell of radius 0.730 meters, we must delve into the intricacies of the electric field and its correlation with the charge distribution on a conductor.
The electric field on the surface of a conductor can be mathematically represented as E = kσ, where k stands for the Coulomb constant and σ symbolizes the surface charge density.
The surface area of a spherical shell can be calculated as 4π[tex]r^2[/tex], where r signifies the radius of the sphere. By fusing these two equations, we can determine the surface charge density as follows:
σ = E / (k) = (875 n/C) / (9 x 10^9 Nm^2/C^2) = 9.72 x 10^-10 C/m^2
The charge contained within the sphere can then be computed as:
Q = σ * 4πr^2 = (9.72 x 10^-10 C/m^2) * 4π * (0.730 m)^2 = 2.36 x 10^-7 C
(b) The electric field, exhibiting a radially inward direction, implies that the charge within the spherical shell is positively charged.
The proportionality between the electric field's magnitude and the net charge within the spherical shell suggests that the charge is distributed uniformly on the surface of the sphere.
In conclusion, it can be deduced that the charge within the spherical shell is positively charged and uniformly distributed on its surface.
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if te steady heat flux conducted through this wall is 20 then show how one obtains the temperature distribution t(x)
The temperature distribution t(x) across a wall with steady heat flux conducted through it, t(x) = -Q/(2k) x² + (T2 - T1 + QL/2k)/L x + T1 - QL²/(4k).
To obtain the temperature distribution t(x) across a wall with steady heat flux conducted through it, we need to solve the one-dimensional heat conduction equation,
d²t(x)/dx² = -Q/k
Where t(x) is the temperature at position x, Q is the steady heat flux conducted through the wall, and k is the thermal conductivity of the wall material.
t(x) = -Q/(2k) x² + Ax + B
Boundary conditions,
t(0) = T1 and t(L) = T2
Where T1 and T2 are the temperatures at the two ends of the wall, and L is the length of the wall.
Using these boundary conditions,
A = (T2 - T1 + QL/2k)/L
B = T1 - QL²/(4k)
Substituting these values of A and B in the equation for t(x),
t(x) = -Q/(2k) x² + (T2 - T1 + QL/2k)/L x + T1 - QL²/(4k)
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Construct a qualitative work-energy bar chart for a process that is consistent with the equation below. Then describe in words and with a sketch a process that is consistent with both the equation and the bar chart.
(1/2) (400 N/m) (0.20 m)^2= (1/2) (0.50 kg) v^2 + (0.50 kg) (9.8 N/kg ) (0.80 m)
The total work done is equal to the work done by the spring[tex](400 N/m \times 0.20 m)[/tex] Plus the work done by gravity[tex](0.50 kg \times 9.8 N)[/tex]. The total work done is equal to [tex](1/2) (0.50 kg) v^2 + (0.50 kg) (9.8 N/kg ) (0.80 m)[/tex].
What is the gravity?A force of attraction known as gravity exists between any two mass-containing objects. It is the force responsible for keeping the Earth and other planets orbiting the Sun, and for keeping us firmly rooted to the ground.
Gravity is what keeps us and everything else on the ground and not floating off into space.
A 0.50 kg block is placed on top of an inclined plane with a height of 0.80 m and a spring with a spring constant of 400 N/m is connected to the block. The block is then released from a height of 0.20 m above the ground.
The block then slides down the inclined plane while compressing the spring and is eventually brought to rest by the force of gravity.
Therefore, The total work done is equal to the work done by the spring [tex](400 N/m \times 0.20 m)[/tex] Plus the work done by gravity (0.50 kg x 9.8 N). The total work done is equal to [tex](1/2) (0.50 kg) v^2 + (0.50 kg) (9.8 N/kg) (0.80 m).[/tex]
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find its instantaneous velocity at point a . express your answer in meters per second to two significant figures.
The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
What is instantaneous velocity?The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). m/s, the SI unit of measurement. The size of the immediate velocity is known as the instantaneous speed. Although it lacks a direction, it has the same value as instantaneous velocity.
Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time."
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Which of the following are considered to be price discrimination? (Select all that apply.)
Giving seniors a breakfast discount at the local diner.
Providing a bulk discount for school supplies to local school districts.
Charging schoolchildren half-fare for subway or bus transport.
Charging less for phone services in one location to drive out a competitor.
Charging less for phone services in one location to drive out a competitor is considered to be price discrimination.
What is price discrimination?A selling tactic known as price discrimination involves charging clients various rates for the same good or service depending on what the vendor believes they can persuade the customer to accept.
When a merchant uses pure price discrimination, they charge each consumer the highest price they will agree to.
In more prevalent types of price discrimination, the supplier divides clients into groups based on particular characteristics and assesses a different price to each group.
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Which of the following changes to the Earth's sun system would reduce the magnitude of the force between them to 1/4 The value found in part a
When the distance between earth and sun becomes double, the force between them reduces to 1/4th.
What is gravity?Gravity is a fundamental interaction in physics that causes all objects with mass or energy to attract one another. The weakest of the four fundamental interactions is gravity, by a wide margin.
At the macroscopic level, gravity is the most important interaction between things and governs the motion of planets, stars, galaxies, and even light.
When the distance between earth and sun becomes double, the force between them reduces to 1/4th.
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What are centripetal acceleration and centripetal force?derive their equations.
Answer:
Explanation:
Centripetal acceleration is the acceleration that points towards the center of a circular path and is responsible for keeping an object moving in a circular path. The equation for centripetal acceleration is:
a_centripetal = v^2 / r
where v is the speed of the object and r is the radius of the circular path.
Centripetal force is the force that acts on an object moving in a circular path and is directed towards the center of the circular path. It is equal to the product of the mass of the object and its centripetal acceleration. The equation for centripetal force is:
F_centripetal = m * a_centripetal
where m is the mass of the object.
Two students are discussing the motion of the dart-block system at the instant it reaches height H. The students make the following statements:Student 1: The speed of the system at height H is zero. Since it is moving in circular motion and centripetal acceleration is given by ac = v2 , the acceleration must also be zero.Which underlined phrase or phrases, if either, are correct about student 1's statement? If neither phrase is correct, write "none."
The underlined phrase "The speed of the system at height H is zero", "Since it is moving in circular motion and centripetal acceleration is given by ac = v², the acceleration must also be zero" are both underlined phrases are not correct about student 1's statement.
The underlined phrase "The speed of the system at height H is zero" is not correct about student 1's statement. The statement is incorrect because at the instant it reaches height H, the system would have lost some of its initial kinetic energy due to gravity and would be moving with some velocity, though it could be very small.
The underlined phrase "Since it is moving in circular motion and centripetal acceleration is given by ac = v², the acceleration must also be zero" is also not correct about student 1's statement. The statement is incorrect because the centripetal acceleration is not given by ac = v², but rather ac = v2/r, where r is the radius of the circular path.
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A student throws a 0.140-kg ball straight upwards to a height of 3.10 m. How much work did the student do?
Answer:
The student did 4.54 joules of work. This can be determined by using the formula W = mgh, where W is the work done, m is the mass of the ball, g is the acceleration due to gravity, and h is the height to which the ball is thrown. In this case, m = 0.140 kg and h = 3.10 m, so W = 0.140 x 9.8 x 3.10 = 4.54 joules.
On a post flight inspection of your aircraft after an aborted takeoff due to an elevator malfunction, you find that the elevator control cable has broken. According to NTSB 830, you
a) must immediately notify the nearest NTSB office
b) should notify the NTSB within 10 days
c) must file a NASA report immediately
You must promptly inform the nearby NTSB office that the elevator control cable has broken, per NTSB 830.
When should the NTSB be notified of an aviation accident if there was significant damage but no injuries?The operator is required to submit a report using NTSB Form 6120.1 or 6120.2, which can be obtained from NTSB Field Offices or the NTSB in Washington, D.C. 20594: ten days following an accident.
What qualifies as an accident in the NTSB's eyes?Any incident involving the operation of an aircraft that occurs between the time a passenger boards with the intention of taking off and the time they have all disembarked and in which a person is killed or seriously injured is referred to as an aircraft accident.
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An object is orbiting at a distance of 10,000 km from the center of a planet. The gravitational force between the object and the planet is 10.0 N. What would the gravitational force be if the object were orbiting at a distance of 5,000 km?
A. 2.5 N
B. 5 N
C. 20.0 N
D. 40.0 N
SHOW WORK PLEASE!!
If the item were orbiting at a distance of 5,000 km, there would be a gravitational force of 40 N.
What is gravity, and how does it work?Gravitational force is the name for the force that the earth exerts on a body. Among other instances of motion caused by gravitational force are the leaves and fruits that fall from trees and land on the ground, the water that flows down rivers, and a ball that is tossed up that travels to a height before landing back on the ground.
A substance's gravitational pull is:
F = GMm / r²
Where G is the gravitational constant over all space and time,
A single object's mass is M. (the planet),
The weight of the opposing item is m.
r is the separation between the items.
F is equal to 10 N at 10,000 km.
(10 N) = GMm / (10,000 km) (10,000 km)
²
GMm=109 N km2
Whenever r is 5,000 km:
F = (10⁹ N km²) / (5000 km) (5000 km)
F = 40 N.
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An airplane with an airspeed of 140 km/h lands on a runway where the wind speed is 40 km/h . What is the landing speed of the plane if the wind is head on? as well as If the wind is a tailwind, coming from behind the airplane? and lastly What would be the landing speed of the 140- km/h plane landing in a headwind of 140 km/h ?
When we use the concept of the resultant speed to obtain the landing speed we have it as 146 m/s.
What is the landing speed?We would need to resort to talking about the resultant speed in this context. We know that the speed that the airplane would use to land is what we call the resultant speed of the air plane as we have it here.
We can now say that;
Resultant speed =√ (140)^2 + (40)^2
= 146 m/s
Thus we see that the speed of the airplane when the airplane is found to be landing is about 146 m/s.
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The illustration shows a light ray striking an object. In the illustration, the light ray striking the object is reflecting. What is most likely true about the
object?
A
The object has a rough surface.
The object has an uneven surface.
Nothing can be determined about the surface of the object.
The object has a smooth surface.
object a has a charge of 12 c, and object b has a charge of 16 c. which statement is true about the electric forces on the objects? (a) f : ab 5 23f : ba (b) f : ab 5 2f : ba (c) 3f : ab 5 2f : ba (d) f : ab 5 3f : ba (e) f : ab 5 f : ba (f) 3f : ab 5 f : ba
The statement regarding the electric forces on the objects is true: f: ab 5 2f: ba.
What alteration boosts the electric force?As the space between two charged items grows, so do the electric forces between them. With more charge on the objects, there are greater electric forces between the charged things. Each object's charge has a direct impact on electrostatic force. Therefore, if the charge of one object is doubled, the force will increase by two times.
What may be said to be true about force?There is either a push or a pull. The effects of forces include moving an object, altering its speed, altering its shape, or changing the volume of a body.
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A student who weighs 558 N climbs a stairway (vertical height of 3.3 m) in 29 s.
Answer:
Work is defined as force x displacement in the direction of the force. In this case the force is 558 N and the displacement is 3.3 m, so the work is 3.3 m x 558 N = 1,841.4 joules.
Power is work per unit of time. 1,841.4 J /29 s = 63 W.
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What is the acceleration of a 2,500-kg single-engine airplane just before takeoff when the thrust of its engine is 500N?
The acceleration of a 2,500-kg single-engine airplane just before takeoff when the thrust of its engine is 500N is, 0.2 m/s²
What is acceleration ?Acceleration is a vector quantity that describes the rate at which an object changes its velocity. It is the rate at which the velocity of an object changes in magnitude or direction, or both. In other words, it tells us how quickly an object is speeding up or slowing down. Acceleration has units of meter per second squared (m/s²) and its direction is the same as the direction of the change in velocity.
The net force acting on the airplane just before takeoff is equal to the thrust of the engine,
which is 500 N, minus the force of drag.
Since the airplane is just about to take off, the force of drag is relatively small,
So we can assume that the net force is equal to the thrust of the engine.
F = m x a
Where F is the net force, m is the mass, and a is the acceleration.
Substituting the values for F and m, we get:
500 N = 2,500 kg x a
Dividing both sides by 2,500 kg, we get:
a = 500 N / 2,500 kg = 0.2 m/s²
So, the acceleration of the 2,500-kg single-engine airplane just before takeoff when the thrust of its engine is 500 N is 0.2 m/s².
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Help with Part 1 and 2
I want to check my work and graph
The point t = 0 to t = 8 depict the acceleration of the object.
What is acceleration?Acceleration is a measure of the change in velocity of an object over time. It is a vector quantity that describes the rate at which an object changes its speed or direction of motion. Acceleration is calculated as the rate of change of velocity, and is expressed in units of meters per second squared (m/s²).
We can see from the graph that between t = 0 and t =8 was the time that the object underwent acceleration.
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An example of using sustainable practices in creating new products would be ______
a large company installs low-flush toilets in all of its plant and warehouse loca
an office building stops using paper products and asks workers to bring their
a tile company collects and recycles old tiles from large facilities and makes m
a large data center uses computer modeling to get rid of hot spots that waste
Answer:
"a tile company collects and recycles old tiles from large facilities and makes m"
Explanation:
While the first two sound sustainable, and they are, they're not necessarily part of creating new products. The third option where "a tile company collects and recycles old tiles from large facilities and makes m" which is cut off although I'm assuming "makes more?" making it part of the process of creating new products, although it's more sustainable as it uses old products.
When a rattlesnake strikes, its head accelerates from rest to a speed of 22 m/s in 0.63 seconds. Assume for simplicity that the only moving part of the snake is its head of mass 120 g.
How much (average) power does the rattlesnake need to accelerate its head that fast?
Answer in units of W. Answer in units of
W.
Answer:183
Explanation:when you have taken 120g and 22m/s in 0.63 the acceleration has the speed of 183
Two small objects are suspended from threads. When the objects are moved close together, they attract one another. Which of the following could produce this result?A) One object is positively charged and the other is negatively charged.B) One object is positively charged and the other is uncharged.C) One object is negatively charged and the other is uncharged.D) All of the above could result in such attraction.
When two objects are suspended from wires, All of the above can result in such an attraction. The correct answer D.
When two objects are suspended from threads, the movement of one object close to the other can cause the electrons in the atoms of one object to be transferred to the other, resulting in one object gaining a positive charge and the other gaining a negative charge.
This causes the two objects to attract each other due to the opposite charges.
This phenomenon is known as electrostatic attraction, and it occurs due to the electrostatic force of attraction between charged objects. The strength of this force depends on the distance between the objects and the magnitude of their charges. When the objects are brought closer together, the force of attraction becomes stronger, and they may even stick together.
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80m E 20m S FIND THE AIR SPEED OF THE PLANE RELATIVE TO THE GROUND.
The air speed of an airplane traveling 80 meters east and 20 meters south in a second relative to the ground is about 82.46 m/s
What is the airspeed of a plane relative to the ground?The air speed of a flying airplane relative to (a specified location on) the ground is the difference between the airplane's ground speed and the speed of the wind, found using vectors as follows;
Mathematically, we get;
Airspeed = Ground Speed - Wind SpeedWhereby the velocity of the wind is 120 m/s and the airplane is traveling with an airspeed of 300 m/s due east for example, and the airplane travels 80 meters east and 20 meters south relative to the ground in one second, we get;
Resultant valocity = 80 m/s East, 20 m/s South
v = 80·i - 20·j
The magnitude of the velocity of the plane relative to the ground can be found, using the formula for the magnitude of resultant vector as follows;
|v| = √(80² + (-20)²) = 20·√(17) ≈ 82.46
The air speed of the plane relative to the ground is therefore;
|v| ≈ 82.46 m/s
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What is the structure of the following statement? "Our city is plagued with polluted water, and until we pass stricter laws about dumping into the river, it is going to continue."
A. Cause and effect
B. Description
C. Problem and solution
D. Sequence
The structure of the statement is cause and effect.
option A is the correct answer.
Why is the statement "cause and effect"?The structure of the statement is "cause and effect" because it describes a situation where one thing (polluted water) is the result of another (lack of stricter laws about dumping into the river).
The statement suggests that the cause (lack of stricter laws) will continue to result in the same effect (polluted water) unless some action is taken to change the cause. In this way, the statement explains the relationship between the two events or situations and how one leads to the other.
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If a force of 160 ± 6 N is applied to an area of 24 ± 3 cm², determine the pressure and the uncertainty in its calculation?
Answer:
Explanation:
The pressure is calculated by dividing the force by the area:
P = F / A = 160 N / 24 cm² = 6.67 N/cm²
The uncertainty in the calculation of pressure can be determined by propagating the uncertainties in the force and area measurements. According to the formula for uncertainty propagation, the fractional uncertainty in the pressure calculation is:
ΔP / P = √((ΔF / F)^2 + (ΔA / A)^2)
Plugging in the values:
ΔP / P = √((6 N / 160 N)^2 + (3 cm² / 24 cm²)^2)
ΔP / P = √(0.0375) = 0.195
So the fractional uncertainty in the pressure calculation is 0.195 or 19.5%.
To find the absolute uncertainty in the pressure, multiply the fractional uncertainty by the pressure:
ΔP = P * ΔP / P = 6.67 N/cm² * 0.195 = 1.29 N/cm²
So, the pressure is 6.67 ± 1.29 N/cm².
Which of the following does not generate a magnetic field?
A. a moving electric charge
B. an electric current in a straight wire
C. an electric current in a wire loop
D. a stationary electric charge
Answer:
D
Explanation:
Stationary electric charges produce electric field, it's expression is given by Coulomb's Law. Moving electric charges produce electric field, it's expression is given by a more complicated form than the Columb's Law. Stationary electric charges DOES NOT produce magnetic field.
In order to find the depth of a well, you drop a stone into it and time its fall. It hits the water after falling for 1.7s the depth of the well is about _____.
If the stone hits the water in the well after falling for 1.7s then the depth of the well is about 14.16m.
The time required by the stone to fall and reach the bottom of the well is 1.7s.
Now, we know from the equation of motion,
H = ut + 1/2at²
Where,
H is the depth of the well,
u is the initial speed of the well that is zero in our case,
t is the time taken by the stone to hits the water.
Now, putting all the values,
H = 0.5 x 9.8 x 1.7 x 1.7
H = 14.16 m.
The depth of the well is 14.16m.
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To calculate the acceleration of an object moving in a straight line, divide the change in (blank) by the time during which the acceleration occurs.
To calculate the acceleration of an object moving in a straight line, divide the change in velocity by the time during which the acceleration occurs.
How to find acceleration ?The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.
To calculate acceleration, you need to divide the change in velocity (delta v) by the change in time (delta t) during which the acceleration occurs. The formula for acceleration is a = Δ v / Δ t.
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An object is dropped from a height of 23 m. At what height will its kinetic energy and its potential energy be equal?
Answer:
Hi good morning sir I am not
Bob and Alice both throw baseballs vertically upwards from the same starting height. Both balls take the same amount of time to go up to their maximum height. Which of the follow is true (select all that apply)A. Both Bob and Alice must have thrown the balls with the same speedB. Bob could have thrown his ball with a larger speed than AliceC. Alice could have thrown her ball with a larger speed than BobD. Both balls must have reached the same maximum heightE. Alice's ball could have reached a large maximum height compared to Bob'sF. Bob's ball could have reached a large maximum height compared to Alice's
A. "Both Bob and Alice must have thrown the balls with the same speed" and D. "Both balls must have reached the same maximum height" are true statements.
When two objects are thrown vertically upwards with the same starting height and take the same amount of time to reach their maximum height, it can be concluded that both objects were thrown with the same speed, as their time of flight is dependent on their initial velocity. Additionally, since they started from the same height, their maximum height must also be the same.
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Which type of spectrum can we use to determine the chemical composition of
interstellar gas clouds?
In the electromagnetic spectrum, EM radiation includes radio waves, visible light, and gamma rays.
What is a spectrum?
The characteristic wavelengths of electromagnetic radiation (or a subset thereof) emitted or absorbed by a material, atom, or molecule are called spectra. A spectrum is a state that can vary continuously along a continuum and is not limited to a set of values. After passing through a prism, visible light takes on a rainbow of colors, as the term was originally used scientifically in optics.
We study the electromagnetic radiation, or EM radiation, that interstellar clouds emit and receive from them. The range of this EM radiation includes radio waves, visible light and gamma rays in the electromagnetic spectrum.
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A 53-years old lady was found by imaging to have 50% narrowing in her left renal artery. The change in blood flow for that artery is: (poiseuille Law)
A. 1⁄3 reduction in flow
B. 1⁄2 increase in flow
C. 1/16 increase in flow
D.1/16 reduction in flow
Answer:
D. 1/16 reduction in flow
Explanation:
Poiseuille's law says that the flow rate in a tube or pipe is:
[tex]Q=\frac{\pi P r^4}{8 \eta L}[/tex]
where P is the pressure difference, r is the radius, η is the viscosity, and L is the length.
Assuming that P, η, and L are constant, then we can say Q is proportional to r⁴.
Q ∝ r⁴
A 50% narrowing means the new radius is r/2. Thus the new flow is:
Q₀ / r⁴ = Q / (r/2)⁴
Q₀ / r⁴ = 16 Q / r⁴
Q = Q₀ / 16
There is a 1/16 reduction in flow.
During a very quick stop, a car decelerates at 7.6 m/s2. Assume the forward motion of the car corresponds to a positive direction for the rotation of the tires (and that they do not slip on the pavement).
Randomized Variablesat = 7.6 m/s2
r = 0.26 m
ω0 = 95 rad/s (a) What is the angular acceleration of its tires in rad/s2, assuming they have a radius of 0.26 m and do not slip on the pavement?
(b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95 rad/s ?
(c) How long does the car take to stop completely in seconds?
(d) What distance does the car travel in this time in meters?
(e) What was the car’s initial speed in m/s?
The angular acceleration of its tires is 26.23 rad/s².
The number of revolutions is by the tire is 24.57 rev.
The time it takes the car to stop is 48.2 s.
The distance of the car will be calculated in d = v0 × t + (1/2) × a × t²
And the car's initial speed in v0.
How to calculate angular acceleration?a) The formula for angular acceleration (α) can be calculated as α = r/a, where r is the radius of the tire and a is the linear acceleration. So, in this case, α = 0.26 / 7.6 = 26.23 rad/s².
b) The formula for angular velocity (ω) at a given time can be calculated as ω = ω0 + αt or ω² = ω²0 + 2αΔΘ , where ω0 is the initial angular velocity and t is the time. To find the number of revolutions, find the time it takes for the angular velocity to reach 0. The equation would be 0 = 95 + 1.97t. ω²= 2 x 26.23ΔΘ. = 9025 = 58.46ΔΘ
ΔΘ = 9025 / 58.46 = 154.375 rad. n = ωt / (2π). = 154.375/2π = 24.57 rev.
c) We can find the time it takes for the tires to come to rest by solving for t in the equation 0 = 95 + 1.97t. So, t = 95 / 1.97 = 48.2 s.
d) The distance traveled by the car can be calculated as d = v0 × t + (1/2) × a × t^2, where v0 is the initial speed and a is the linear acceleration. However, as the initial speed is not given, the distance cannot be determined.
e) The initial speed (v0) cannot be determined as it is not given in the problem.
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