A typical ten-pound car wheel has a moment of inertia of about 0.35 kg⋅m². the rotational kinetic energy of the rotating wheel is 27.14 Joules.
We can use the formula,K=1/2Iω²to find the rotational kinetic energy of a rotating wheel. Here,
K is the rotational kinetc energy,
I is the moment of inertia, and
ω is the angular velocity or speed. Here, a typical ten-pound car wheel has a moment of inertia of about 0.35 kg⋅m².
Substituting the given values in the formula,
K = 1/2 x 0.35 kg⋅m² x (55.0 x 2π/3.00 s)²
K = 1/2 x 0.35 kg⋅m² x 123.66 rad/s²
K = 27.14 J
Therefore, the rotational kinetic energy of the rotating wheel is 27.14 Joules.
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Charges of 7.2nC and 6.7nC are 32 cm apart. Find the equilibrium position for a -3.0nC charge.
Answer:
I don't know I'm sorry I will tell you another answer asks me
The following table contains the applied forces and corresponding extension of a perfect spring. Determine the spring stiffness. Provide your answer in N/m to 4 decimal places. X (m) F (N) 0. 43 59. 34 0. 52 71. 76 0. 57 78. 66 0. 74 102. 12 0. 81 111. 78 0. 88 121. 44 0. 96 132. 48 Answer:
The spring stiffness, or spring constant, of the given perfect spring is approximately 137.9623 N/m. This means that for every meter of extension, the spring will exert a force of 137.9623 N.
This value was obtained by applying Hooke's Law and calculating the ratio of the change in force to the change in extension using two data points from the table.
To determine the spring stiffness, we need to calculate the spring constant (k) using Hooke's Law, which states that the force applied on a spring is directly proportional to the extension it undergoes.
Hooke's Law can be represented as F = kx, where F is the applied force and x is the extension of the spring.
In the given table, we have the applied forces (F) and corresponding extensions (x). We can use any two data points from the table to find the spring constant.
Let's choose the first and last data points from the table:
(x1, F1) = (0.43 m, 59.34 N) and (x2, F2) = (0.96 m, 132.48 N).
Using Hooke's Law, we can calculate the spring constant (k) as follows:
k = (F2 - F1) / (x2 - x1)
= (132.48 N - 59.34 N) / (0.96 m - 0.43 m)
= 73.14 N / 0.53 m
≈ 137.9623 N/m (rounded to 4 decimal places)
Therefore, the spring stiffness, or spring constant, is approximately 137.9623 N/m.
Hooke's Law is a fundamental concept in physics that describes the relationship between the force applied on a spring and the resulting extension it undergoes.
The formula F = kx represents this relationship, where F is the applied force, k is the spring constant, and x is the extension of the spring.
By using two data points from the table, we can calculate the spring constant by finding the ratio of the change in force to the change in extension.
This calculation allows us to quantify the stiffness of the spring.
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Alice wants to clean her camcorder lens, which got dusty when she cleaned her room. What should she use to avoid damaging the lens
To clean a camcorder lens without risking damage, it is important to use proper cleaning techniques and tools. Here are some recommendations for cleaning a camcorder lens:
Use a blower or brush: Start by using a blower or a soft brush designed for camera lenses to gently remove any loose dust or debris from the lens surface. This helps prevent scratching the lens during the cleaning process.
Microfiber cloth or lens cleaning tissue: Use a microfiber cloth specifically made for cleaning lenses or a lens cleaning tissue. These materials are designed to be soft and non-abrasive, minimizing the risk of scratching the lens. Avoid using regular tissues, paper towels, or clothing materials, as they may leave lint or scratch the lens.
Lens cleaning solution: If there are smudges or fingerprints on the lens, apply a small amount of lens cleaning solution. Use a solution specifically formulated for camera lenses and apply it to the microfiber cloth or lens cleaning tissue, rather than directly onto the lens. Gently wipe the lens in a circular motion, starting from the centre and moving towards the edges.
Avoid excessive pressure: When cleaning the lens, use gentle pressure and avoid applying excessive force. This helps prevent damaging the lens coating or moving the internal lens elements.
Protect the lens when not in use: When the camcorder is not in use, it is advisable to keep the lens cap on or use a lens cover to prevent dust and debris from accumulating on the lens.
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If the car's velocity were doubled, what would happen to the time the car
falls as compared to the time the ball falls?
The time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.
If the car's velocity were doubled, the time it takes for the car to fall would not be affected by the time it takes for the ball to fall. This is because the time taken for an object to fall from a certain height is determined by the acceleration due to gravity and the distance from the ground, but not by the object's initial velocity.
The acceleration due to gravity is constant, which means that the time taken for an object to fall a certain distance is also constant. This means that the time taken for the ball to fall and the car to fall from the same height would be the same, regardless of the car's velocity.
This can be explained by the equation of motion for a falling object:
d = 1/2gt²,
where d is the distance from the ground, g is the acceleration due to gravity, and t is the time taken to fall.
Since the acceleration due to gravity is constant, the time taken for the car and the ball to fall the same distance would be the same, regardless of their initial velocity.
Therefore, if the car's velocity were doubled, the time it takes for the car to fall would be the same as before, but it would be moving faster when it hits the ground.
In conclusion, the time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.
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A certain one-dimensional conservative force is given as a function of x by the expression F = -kx^3, where F is in newtons and x is in meters. A possible potential energy function U for this force is
Answer:
Choice D
Explanation:
F(x) = -kx^3
Integrate F(x) with respect to x:
U(x) = - ∫ F(x) dx
= - ∫ (-kx^3) dx
= k/4 * x^4 + C
C is a constant of integration. Find C by specifying the potential energy at a particular value of x. To make it easy, assume that U = 0 at x = 0:
U(0) = k/4 * 0^4 + C = 0
C = 0
Therefore, the potential energy function for the given force F = -kx^3 is:
U(x) = k/4 * x^4
Choice D: U = \(\frac{1}{4}\)kx⁴
(21) A car covered a distance of 180 km. with velocity magnitude 20 m./sec. on a straight road, then the time taken to cover this distance =
Answer:
i got u
Explanation:
To find the time taken to cover a distance of 180 km with velocity magnitude 20 m/sec, we can use the formula:
time = distance / velocity
Converting the distance to meters, we get:
180 km = 180,000 m
Plugging in the values, we get:
time = 180,000 m / 20 m/sec
Simplifying, we get:
time = 9,000 seconds
Therefore, the time taken to cover a distance of 180 km with velocity magnitude 20 m/sec is 9,000 seconds.
kinatic energy dependes on[statitic/dymamic]condition of body
Answer:
dynamic im pretty sure that's it
If an object is thrown in an upward direction from the top of a building 160 ft high at an initial speed of 30 mi/h, what is
its final speed when it hits the ground? (Disregard wind resistance. Do not reflect negative direction in your answer.)
ft/s
110 fus
100 ft/s
097 ft/s
91 ft/s
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TURN ITIN
Answer:
We can use 2 g H = v2^2 - v1^2 or
v2^2 = 2 g H + v1^2
Since 88 ft/sec = 60mph we have 30 mph = 44 ft/sec
The object will return with the same speed that it had initially so the object
starts out with a downward speed of 44 ft/sec
Then v2^2 = 2 * 32 ft/sec^2 * 160 ft + 44 (ft/sec)^2
v2^2 = (2 * 32 * 160 + 44^2) ft^2 / sec^2 = 12180 ft^2/sec^2
v2 = 110 ft/sec
Two men, Joel and Jerry, each pushes an object that are identical on a horizontal frictionless floor starting from rest. Joel and Jerry are using the same force F. Jerry stops after 10 min, while Joel is able to push for 5.0 min longer. Compare the work they do.
Answer:
The work done by Joel is greater than the work done by Jerry.
Explanation:
Let suppose that forces are parallel or antiparallel to the direction of motion. Given that Joel and Jerry exert constant forces on the object, the definition of work can be simplified as:
\(W = F\cdot \Delta s\)
Where:
\(W\) - Work, measured in joules.
\(F\) - Force exerted on the object, measured in newtons.
\(\Delta s\) - Travelled distance by the object, measured in meters.
During the first 10 minutes, the net work exerted on the object is zero. That is:
\(W_{net} = W_{Joel} - W_{Jerry}\)
\(W_{net} = F\cdot \Delta s - F\cdot \Delta s\)
\(W_{net} = (F-F)\cdot \Delta s\)
\(W_{net} = 0\cdot \Delta s\)
\(W_{net} = 0\,J\)
In exchange, the net work in the next 5 minutes is the work done by Joel on the object:
\(W_{net} = W_{Joel}\)
\(W_{net} = F\cdot \Delta s\)
Hence, the work done by Joel is greater than the work done by Jerry.
The loaded cab of an elevator has a mass of 3.0 x 10 3 kg and moves 200 m up the shaft in 20 s at constant speed. At what average rate does the cable do work on the cab
The average rate at which the cable does work is 294,000 J/s.
The given parameters:
mass, m = 3000 kgheight, h = 200 mtime of motion, t = 20 sThe average rate at which the cable does work is calculated as follows;
\(P = \frac{E}{t} \\\\P = \frac{mgh}{t} \\\\P = \frac{3000 \times 9.8 \times 200}{20} \\\\P = 294,000 \ J/s\)
Thus, the average rate at which the cable does work is 294,000 J/s.
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Which of the following best defines energy?
the ability to do work
the resistance to motion
how fast an object moves
amount of force in a given time
Answer:
The Ability to do work
Explanation:
energy is needed to do work because without energy no work can be done due to the fact that there is no energy
The pressure at the bottom of the ocean is great enough to crush submarines with steel walls that are ten
centimeters thick. Suppose a submarine is at a depth of 1,000 meters. The weight of water above each square
meter of the submarine is 9,800,000 newtons.
a. What is the pressure? Find the pressure here and show your work! TYPE IN WHAT YOU PUT IN
YOUR CALCULATORSI
Answer:
9800000N/m²
Explanation:
Given parameters:
Depth of the submarine = 1000m
Weight of the water above = 9,800,000N per unit area
Unknown:
Pressure = ?
Solution:
The pressure at this depth is the force or weight per unit area.
Pressure = \(\frac{Force }{Area}\)
Pressure = \(\frac{9800000}{1}\)
Pressure = 9800000N/m²
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 361 people entered the park, and the admission fees collected totaled 954 dollars. How many children and how many adults were admitted
196 children and 165 adults were admitted to the amusement park on that day.
Let's assume that the number of children who entered the park was "x" and the number of adults who entered was "y". According to the problem, we know that the admission fee for children is $1.5 and for adults is $4. Using this information, we can create two equations:
1.5x + 4y = 954 (total admission fees collected on that day)
x + y = 361 (total number of people who entered the park)
Now, we need to solve these equations simultaneously to find the values of x and y. One way to do this is to use substitution. We can rearrange the second equation as x = 361 - y and substitute this value of x in the first equation:
1.5(361-y) + 4y = 954
Expanding the brackets and simplifying, we get:
541.5 + 2.5y = 954
2.5y = 412.5
y = 165
Substituting this value of y in x + y = 361, we get:
x + 165 = 361
x = 196
Therefore, 196 children and 165 adults were admitted to the amusement park on that day.
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in three situations, a briefly applied horizontal force changes the velocity of a hockey puck that slides over frictionless ice. the overhead views of the figure indicate, for each situation, the puck’s initial speed vi, its final speed vf, and the directions of the corresponding velocity vectors. rank the situations according to the work done on the puck by the applied force, most positive first and most negative last.
The work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.
According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F = ma
\(F= \frac{mv}{t}\)
The force applied to an object increases with increases in the velocity of the object.
In the given diagram, the resultant velocity of the puck is calculated as follows;
Figure a:
\(\Delta v = v_f -v_i\\\\\Delta v = 5 - 6 = - 1 \ m/s\)
Figure b:
\(v = \sqrt{4^2 + 3^2} \\\\v = 5 \ m/s\)
Figure c:
\(\Delta v = 4 - (-2)\\\\\Delta v = 6 \ m/s\)
Thus, the work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.
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a pendulum of length 0.50 meters, mass 1.0 kilogram, and displacement angle 12 degrees has a period of 1.4 seconds. determine the period if the mass is doubled.
The period of pendulum is still the same at 1.4 seconds.
We need to know about pendulum experiment to solve this problem. The pendulum is a simple experiment to calculate gravitational acceleration. The gravitational acceleration can be calculated by
g = 4π² . L / T²
where g is gravitational acceleration, L is the length of the string and T is the period.
From the question above, we know that:
L = 0.5 meters
m1 = 1 kg
θ = 12⁰
m2 = 2 . m1
T1 = 1.4 seconds
Find the period of pendulum
g = 4π² . L / T²
T² = 4π² . L / g
T = √(4π² . L / g)
The period of a pendulum does not depend on the mass of the object, hence the period is still the same at 1.4 seconds.
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Electromagnetism consists of what two processes?
o A. An electric current produces a magnetic field.
B. A moving magnet produces an electric current.
O C. Electric charges attract each other.
D. Permanent magnets produce a magnetic field.
Answer: it’s A and B
Explanation: everyone else on this post was giving you the wrong answer.
An altering magnetic field will cause an altering electric field, and vice versa. Electromagnetic waves are created from these shifting fields. In contrast to mechanical waves, electromagnetic waves can travel without a medium. Thus option A, B is correct.
What are the characteristics of Electromagnetism?The EM wave's magnetic and electric fields are represented by the vectors E and B, respectively. In the case of electromagnetic waves, E and B are always perpendicular to the direction of propagation and to each other.
An oscillating charge generates an oscillating magnetic field, which in turn generates an oscillating electric field in space. As a result, an electromagnetic wave is created by the oscillating electric and magnetic fields that keep regenerating one another.
Therefore, An electric current produces a magnetic field and A moving magnet produces an electric current.
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What is the surface area?
four objects are situated along the y axis as follows: a 2.07-kg object is at 2.94 m, a 2.94-kg object is at 2.56 m, a 2.49-kg object is at the origin, and a 3.97-kg object is at -0.508 m. where is the center of mass of these objects?
As a result, on the y-axis, the centre of mass of these objects is situated 0.225 metres above the origin.
Where is the object's centre of mass?The centre of mass will always rest immediately underneath a shape if it is suspended from a single point. Hence, the centre of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.
The formula below can be used to determine the system's centre of mass (COM):
COM = (m1y1 + m2y2 + m3y3 + m4y4) / (m1 + m2 + m3 + m4)
where y is an object's location on the y-axis and m is each object's mass.
The values from the problem are as follows:
m1 = 2.07 kg, y1 = 2.94 m
m2 = 2.94 kg, y2 = 2.56 m
m3 = 2.49 kg, y3 = 0 m (at the origin)
m4 = 3.97 kg, y4 = -0.508 m
With these values entered into the formula, we obtain:
COM = (2.07 kg * 2.94 m + 2.94 kg * 2.56 m + 2.49 kg * 0 m + 3.97 kg * (-0.508 m)) / (2.07 kg + 2.94 kg + 2.49 kg + 3.97 kg)
COM = 0.225 m
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A pair of wires support a heavy painting. Tension in the wires is greater when they are
A)vertical.
B)not vertical.
C)the same regardless of the wire orientation.
D)none of the above
The tension in the wires is greater when they are not vertical (option B).
When the wires are vertical, they are only supporting the weight of the painting, which is acting straight down due to gravity.
However, when the wires are at an angle, they are not only supporting the weight of the painting but also providing a force to counteract the component of the weight that is acting perpendicular to the direction of the wires.
This means that the wires are under more tension when they are at an angle than when they are vertical.
In other words, the tension in the wires is directly proportional to the angle between the wires and the vertical direction.
The greater the angle, the greater the tension in the wires. This is why it is important to use an appropriate angle when hanging heavy objects with wires, to ensure that the wires are under enough tension to support the weight without breaking.
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If the current in a wire is doubled. What happens to a) the current density b) the conduction electron density
When the current in a wire is doubled: the current density will double, while the conduction electron density remains unchanged.
a) The current density: Current density (J) is the amount of electric current flowing through a unit cross-sectional area of the wire.
It is given by the formula J = I/A, where I is the current and A is the cross-sectional area. If the current in the wire is doubled, the current density will also double, assuming the cross-sectional area remains constant. This is because the ratio of the increased current to the area remains twice as large as the original current density.
b) The conduction electron density: Conduction electron density (n) refers to the number of free electrons available for conduction per unit volume.
Doubling the current in the wire does not directly affect the conduction electron density. This value depends on the type and properties of the material used in the wire, and not the current flowing through it. However, the increased current may lead to a higher rate of electron flow in the wire, but the conduction electron density itself remains constant.
In summary, when the current in a wire is doubled, the current density will double, while the conduction electron density remains unchanged.
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Complete question:
If the current in a wire is doubled. What happens to a) the current density b) the conduction electron density
Julia tosses a water balloon straight up at time t = 0.
Which of the following graphs best shows the velocity of the water balloon after it is tossed?
Assume upward is the positive direction.
Assume upward is the positive direction. Julia tosses a water balloon straight up at time t = 0.The option D of the following graphs best shows the velocity of the ball after it is thrown.
What is velocity?Velocity is a term defines that a particles covered distance upward positively and downward negatively in a constant time. It is a vector quantity.
How can we calculate the velocity?According to the question, assuming upward is the positive direction. Julia tosses a water balloon straight up so there is a initial velocity in the balloon.
So the curve starts from the positive vertical axis of v-t curve.
we are using the formula; v=u+at
Now we know from discussion, there is a positive initial velocity. But There is a acting of acceleration due to gravity. That acceleration acting the on ball from the beginning. So after some time the velocity of the ball become zero and then it start to moving downwards.
Then the formula becomes,
v=u+(-a)t
Or, v=u-at
So, from the above discussion we can say that the nature of graph (d) is similar to our discussion. The option D of the following graphs best shows the velocity of the ball after it is thrown.
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A student claims that invisible fields exist between objects that are not in contact. Which two
arguments best support her claim?
O A
А A ball rolls more slowly on a bumpy road than on a smooth road.
B
A light bulb becomes lit when a switch is flipped to close a circuit.
A magnet attracts a paper clip causing it to move toward the magnet.
D
The bottom of a box becomes warm after being pulled across a carpet.
O E
E
Two positively charged balloons repel each other when they are brought close
together
F
The block with a smaller mass travels farther than the block with a larger mass
given the same push.
Two arguments that best support the claim of invisible fields existing between objects not in contact are the fact that a light bulb becomes lit when a switch is flipped to close a circuit and the observation of two positively charged balloons repelling each other when brought closer together.
The first argument, the lighting of a bulb when a switch is flipped to close a circuit, demonstrates the existence of an invisible electric field. When the switch is closed, it completes the circuit, allowing the flow of electric current. This flow of electrons generates an electric field that travels through the wires and reaches the filament of the bulb, causing it to emit light. This phenomenon confirms the presence of an invisible field between objects that are not physically connected.
The second argument involves the observation of two positively charged balloons repelling each other. When two objects with the same charge come close together, they exhibit a repulsive force. In this case, the repulsion between the balloons can be explained by the presence of an invisible electric field. Each balloon generates its own electric field due to its positive charge. The fields interact, resulting in a repulsive force that pushes the balloons apart. This interaction between the electric fields of the balloons provides evidence for the existence of invisible fields between objects that are not in contact.
These two examples highlight the existence of invisible fields, specifically electric fields, that can have observable effects on objects without direct contact. They support the student's claim and provide evidence for the presence of these fields in the physical world.
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If someone is driving 100 miles in 60 minutes then drives 150 miles in 100 minutes west, what is his acceleration rate.
Answer:
his acceleration rate is -0.00186 m/s²
Explanation:
Given;
initial position of the car, x₀ = 100 miles = 160, 900 m ( 1 mile = 1609 m)
time of motion, t₀ = 60 minutes = 60 mins x 60 s = 3,600 s
final position of the car, x₁ = 150 miles = 241,350 m
time of motion, t₁ = 100 minutes = 100 mins x 60 s = 6,000 s
The initial velocity is calculated as;
u = 160, 900 m / 3,600 s
u = 44.694 m/s
The final velocity is calculated as;
v = 241,350 m / 6,000 s
v = 40.225 m/s
The acceleration is calculated as;
\(a = \frac{\Delta V}{\Delta t} = \frac{v- u}{t_1 - t_ 0} = \frac{40.225 - 44.694}{6000-3600} = -0.00186 \ m/s^2\\\\\)
Therefore, his acceleration rate is -0.00186 m/s²
a kid fires a squirt gun horizontally from above the ground. it hits another kid 2.1 m away square in the back, above the ground. what was the water's initial speed?
The water travels 2.1 m horizontally and drops by a height of (1.6 - 0.93) m, or 0.67 m. Considering that the water's initial horizontal velocity is V.
What are initial and ending speeds?Initial and Final Velocity Initial velocity is the speed at which an item moves when the force of gravity is applied for the first time. The final velocity, on the other hand, is a vector number that gauges the speed and direction of a moving object after it has experienced its maximum acceleration.
Assuming V to be the initial horizontal velocity of the water you have.
V = 2.1/t . . . . . . (1) and
0.67 = (1/2)g*t^2 . . . . . . (2) where
g is the gravitational constant 9.81 m/s/s
(2) => t = 0.3696 sec and
The Velocity V = 5.682 m/s
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an incompressible substance with a density of 1000 kg/m3 is isothermally compressed from 100 to 1000 kpa. determine the change in enthalpy. multiple choice question. 0 kj/kg 0.9 kj/kg 10 kj/kg 900 kj/kg
The change in enthalpy of an incompressible substance with a density of 1000 kg/m³ that is isothermally compressed from 100 to 1000 kPa is 0 kJ/kg.
What is enthalpy?Enthalpy is a measure of the total energy of a thermodynamic system. In addition, it incorporates the energy that is supplied to the system as heat, as well as any energy that is used as work. Enthalpy is represented by the symbol H and is usually calculated in units of joules (J).
What is an incompressible substance?An incompressible substance is one that cannot be compressed or compressed to a significant degree. Liquids are examples of such materials. They are often described as having a constant density because, unlike gases, they do not easily change in volume in response to pressure or temperature changes. Therefore, the change in enthalpy is 0 kJ/kg.
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You are investigating Hooke's law by putting different masses on the end of a spring. What apparatus would you use to measure the force exerted by the mass hanging from the spring?
Answer:
hang an empty slotted mass carrier from the lower end and measure the new length of the spring. keep adding more slotted masses, measuring the new length each time.
Explanation: Hope this helps :)
We investigate Hooke's law by hanging an empty slotted mass carrier from the lower end and measuring the new length of the spring.
What is the mass of the spring?be the extension of the spring: that is, the difference between the spring's actual length and its unstretched length. can also be used as a coordinate to determine the instantaneous horizontal displacement of the mass. Figure 1: Mass on a spring.
What forces act on an object hanging on a spring?Since the force exerted by the spring is always directed towards its Figure 5.3 Two forces act on a ball that is suspended by a spring: the weight W, the gravitational force exerted by the Earth, and Spring, the force exerted by the spring.
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An unknown galaxy has a large flattened core. Which of the following classifications would best fit this galaxy's description? Irregular Spiral Lens Elliptical
Answer:
Lens
Explanation:
A lens galaxy has a large flattened core.
Spiral has arms.
Elliptical is a perfect sphere.
Answer:lens
Explanation:
Which of the following statements about zoroastrianism is false?
A. The people of Persia were allowed to freely accept it or not accept it; itwas not imposed upon them
B. Both Ahurda Mazda, and Angra Mainyu are considered gods
C. It was characterized by the Great Creator and the Destructive Forces
D. It was named after its founder Zoroaster
The false statement about Zoroastrianism is both Ahurda Mazda and Angra Mainyu are considered gods. In Zoroastrianism, Ahura Mazda is considered the supreme deity and the embodiment of good, while Angra Mainyu (also known as Ahriman) represents the embodiment of evil and is not considered a god.
Zoroastrianism is an ancient Iranian religion founded by the prophet Zoroaster (or Zarathustra). It originated in Persia (modern-day Iran) and played a significant role in the development of Persian culture and civilization. Zoroastrianism promotes the belief in the existence of one supreme deity, Ahura Mazda, who represents goodness, truth, and light. The religion also recognizes the presence of destructive forces, personified by Angra Mainyu, representing evil and darkness. Zoroastrianism emphasizes the eternal struggle between these opposing forces and the importance of choosing good over evil. The faith does not impose itself on individuals but allows people to freely accept or reject its teachings.
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A steel railroad track has a length of 30.000m when the temperature is 0.0∘C, the ends of the rail are rigidly clamped at 0.0∘C so that expansion is prevented. The thermal stress set up in the rail if its temperature is raised to 40.0∘C is
The thermal stress set up in the rail when its temperature is raised to 40.0∘C can be calculated using the formula:
Thermal Stress = (Coefficient of Linear Expansion) * (Change in Temperature) * (Young's Modulus)
To calculate the thermal stress, we need to know the coefficient of linear expansion and Young's modulus of the steel rail. Let's assume the coefficient of linear expansion is α and Young's modulus is Y.
Given that the length of the rail is 30.000m and the temperature change is from 0.0∘C to 40.0∘C, the change in temperature is 40.0∘C - 0.0∘C = 40.0∘C.
Assuming we have the values for α and Y, we can substitute them into the formula to calculate the thermal stress.
Thermal Stress = α * (Change in Temperature) * Y
Please provide the values for the coefficient of linear expansion (α) and Young's modulus (Y) for the steel rail so that we can calculate the thermal stress accurately.
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The device shown below contains 2 kg of water. When the cylinder is allowed to fall 250 m, the temperature of the water increases by 1.4°C. Suppose 2 kg of water are added to the container and the cylinder is allowed to fall 750 m. What would the increase in temperature be in this case? Gizmo image A. 0.7°C B. 1.4°C C. 2.1°C D. 2.8°C
Answer:c. 2.1°C
Explanation:
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