if two children, with masses of 13 kg and 20 kg , sit in seats opposite one another, what is the moment of inertia about the rotation axis?

The magnitude of that other charge will be 9×10⁻⁵ C. The force on the charge is inverse of the distance.

The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

The magnitude of that other charge is found as;

\(\rm F = \frac{Kq_1q_2}{r^2} \\\\ \rm 9 = \frac{9 \times 10^9 \times 1\times 10^{-4}\times q_2}{(3)^2} \\\\ q_2=9\times 10^{-5} \ C\)

Hence, the magnitude of that other charge will be 9×10⁻⁵ C.

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(c) Total internal reflection occurs

when the incident angle is greater than the critical angle.

13.02 meters

Explanation

the work done by the brakes makes the car stops, so the change in energy equals the work done

hence

also, the work done by a force is given by

then, let

replace

therefore, the answer is

13.02 meters

I hope this helps you

Answer:

 U = 2,195 10⁵ J

Explanation:

The potential energy is

      U = m g and

in this case each person has a mass of 75 kg and the elevator has a mass of 500 kg, the total mass is

 m_total = m_elevator + 4 m_person

      m_total = 500 + 4 75

      m_toal = 800 kg

let's calculate

       U = 800 9.8 28

       U = 2,195 10⁵ J

Answer:

To find the work done in moving the particle from the origin to x = 2, we need to integrate the force over the given interval.

The work done (W) is calculated by integrating the force function with respect to displacement (dx) from the initial position (0) to the final position (2):

W = ∫(0 to 2) (10x³ - 5) dx

Integrating the force function, we get:

W = ∫(0 to 2) (10x³ - 5) dx = [2.5x⁴ - 5x] evaluated from 0 to 2

Now, substituting the upper limit (2) and lower limit (0) into the equation:

W = [2.5(2)⁴ - 5(2)] - [2.5(0)⁴ - 5(0)]

 = [2.5(16) - 10] - [0 - 0]

 = 40 - 10

 = 30

Therefore, the work done in moving the particle from the origin to x = 2 is 30 units of work.

Explanation:

In order to solve for angular acceleration and tension in a problem, you typically need to use Newton's second law for rotational motion. This law states that the sum of torques acting on an object equals the moment of inertia times the angular acceleration.

The torque is equal to the force times the distance from the axis of rotation.

To solve for tension, you'll need to identify all the forces acting on the object and determine the net force acting in the direction of motion. If the object is moving in a circle, you'll need to calculate the centripetal force required to keep it moving in a circle. This force is equal to the mass times the centripetal acceleration, which is equal to the radius times the square of the angular velocity.

As for your issue with the angular acceleration, it's hard to say what might be causing the problem without seeing the specific problem you're working on. However, make sure you're using the correct formula for angular acceleration (which is equal to the change in angular velocity divided by the time interval) and that you're converting units correctly.

I hope this helps! Let me know if you have any other questions.

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The statement that the frequency of a mass on a spring oscillating vertically is lesser than the frequency of a mass on a spring oscillating horizontally on a frictionless surface is true.

Simple harmonic motion is defined as a periodic motion where the acceleration of the object is directly proportional to the displacement and is always directed towards the equilibrium position. It can be represented mathematically as follows: a = -ω^2x, where a is acceleration, x is displacement and ω is the angular frequency.

Simple harmonic motion can occur in a number of scenarios like a mass-spring system, a pendulum, a vibrating guitar string, etc.The frequency of a mass on a spring oscillating horizontally on a frictionless surface is fh and when the spring is suspended from a hook, and the same mass oscillates vertically, the frequency is fv.

According to the given scenario, the frequency of a mass on a spring oscillating horizontally is greater than the frequency of a mass on a spring oscillating vertically.

The reason behind this phenomenon is that when the mass is suspended from the spring, it experiences weight which acts downwards and stretches the spring.

Thus, the restoring force acting on the spring is given by F = -kx - mg where k is the spring constant, x is the displacement from the equilibrium position, and mg is the force due to gravity.

This force is greater than the restoring force acting on the spring in the horizontal direction which is given by F = -kx. As the restoring force is greater in the vertical case, the frequency of oscillation becomes lesser.

Thus, the statement that the frequency of a mass on a spring oscillating vertically is lesser than the frequency of a mass on a spring oscillating horizontally on a frictionless surface is true.

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When a net force of 10 N applied on a 3 kg object, after it has moved 5 m, the velocity of the object is 5.77 m/s

When a force F applied on m kg mass, then according to the Newton 2nd law of motion, the object will acquire an acceleration:

a = F/m

From the problem,

F = 10 N

m = 3 kg

Hence, the acceleration is:

a = 10/3 m/s²

The relation between the velocity, distance, and acceleration is:

v² = u² + 2.a.s

Where:

v = final velocity

u = initial velocity

s = distance

Since the object is initially at rest, hence u = 0

Therefore,

v² =  2.a.s

v² =  2.10/3 . 5

v² =  100/3

v = 5.77 m/s

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Answer:

C

Explanation:

Mg points down. The Normal force

F

N

is exactly equal to mg and points up. Friction opposes motion so assuming he slides to the right, the friction force will point left.

Sorry if its wrong

The free-body diagram in diagram C shows Dave while he is sliding.

Two surfaces that come into contact and glide against one another produce frictional force.

The following variables impact the frictional force:

Hence, the weight of Dave acts downwards and normal force on Dave acts upwards and frictional force acts opposite to the motion of him. Diagram c shows this.

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Answer:

A generator is a device that converts mechanical energy into electrical energy by rotating a coil of wire in a magnetic field.

Answer:

Here is a claim-evidence-reasoning (CER) model for the student's claim about the flooding of the Scablands:

Claim: The flooding of the Scablands is due to erosion and melting of glaciers which increased the amount of water until it overwhelmed the dams.

Evidence:

Erosion patterns in the Scablands that suggest a large amount of water was present in the region.

The presence of glacial deposits in the area.

The location of the Scablands near glacial formations that would have melted and contributed to the increase in water.

Reasoning: The evidence supports the idea that melting glaciers and erosion caused a significant increase in water in the region, which then overwhelmed the dams and caused flooding in the Scablands. The presence of glacial deposits and the proximity to active glacial formations suggest that a large amount of water was released into the area, causing the observed erosion patterns and the flooding.

Explanation:

Answer:

223.25 \($\text{Jm}^{-1}\text{s}^{-1}^\circ\text{C}^{-1}$\)

Explanation:

The thermal conductivity of an object is defined as the measure or the ability of the object to transfer heat or conduct heat through its body.

In the context, the thermal conductivity of the material is given as

\($=129 \text{ Btu ft}^{-1}\text{h}^{-1}^\circ\text{F}^{-1}$\)

And it is given that :

1 Btu = 1055 J

1 ft = 0.3048 m

\($1^\circ F = \frac{5}{9}^\circ C$\)

We know that 1 h = 3600 s

So the thermal conductivity of the material in \($\text{Jm}^{-1}\text{s}^{-1}^\circ\text{C}^{-1}$\) is  :

Thermal conductivity :

\($=\frac{129 \text{ Btu}}{1 \text{ ft }\times \text{1 h}\times 1^\circ\text{F}}$\)

\($=\frac{129 \times 1055 \text{ J}}{0.3048 \text{ m} \ \times 3600 \text{ s}\ \times \frac{5}{9}^\circ \text{C}}$\)

=  223.25 \($\text{Jm}^{-1}\text{s}^{-1}^\circ\text{C}^{-1}$\)

The reading on the scale is 96.31 N.

The Reading Scale describes how people progress through the difficult process of learning to read. It provides teachers with methods for viewing and analyzing their observations of children's developing reading skills, knowledge, and comprehension.

When the elevator stops, its speed decreases from 4 m/s to 0 m/s.

This suggests a slowing down. The amount of force being applied to the

F= mass times acceleration

Assuming the deceleration is constant, we have the following equation:

V = U + at

Where V = Final speed = 0

U = initial speed = 4

a = acceleration

t = time

Solving, we get:

0 = 4 + 2a

a = -2 m/s^2

Solving, we get:

0 = 4 + 2a

a = -2 m/s^2

Thus the object decelerates at 2 m/s^2

The mass of the person = 80 / 9.81 =  8.155 kg

F = 8.155 * 2

F = 16.31 N

Weight in total: 80 + 16.31 = 96.31 N (This is the reading on the scale).

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The government can address the environmental damage caused by thrown-away plastic water bottles through solutions such as implementing a deposit and return system or imposing taxes, which incentivize responsible behavior, reduce plastic waste, and mitigate negative externalities.

a. The economic concept that explains the damage created by thrown-away empty plastic water bottles is "negative externality."

b. Negative externality occurs when the production or consumption of a good or service imposes costs on third parties who are not involved in the transaction. In this case, the irresponsible disposal of plastic water bottles creates environmental damage, such as pollution in landfills and oceans, affecting society as a whole. It is a market failure because the private cost of producing and consuming bottled water does not include the full social cost of the resulting environmental damage.

The market situation in this context involves a divergence between private and social costs. Consumers of bottled water do not bear the full cost of the environmental damage caused by the improper disposal of plastic bottles. Consequently, the market equilibrium for bottled water fails to account for the negative externalities imposed on society.

c. Two solutions available to the government to correct this environmental issue are:

Implementing a plastic bottle deposit and return system: The government can establish a system where consumers pay an additional deposit fee when purchasing plastic water bottles, which is refunded when they return the empty bottles to designated collection points. This incentivizes consumers to return the bottles for recycling or proper disposal, reducing environmental damage.

Imposing taxes or levies on plastic water bottles: The government can impose taxes or levies on the production or consumption of plastic water bottles. This increases the cost of bottled water, reflecting the social cost of environmental damage. The additional revenue generated from these taxes can be used to fund environmental conservation and recycling programs.

d. These solutions will correct the given situation by internalizing the external costs associated with plastic water bottle consumption. By implementing a deposit and return system or imposing taxes, consumers are incentivized to act responsibly by returning the bottles or opting for alternative packaging options. This reduces the amount of plastic waste in landfills and oceans, mitigating environmental damage.

The deposit and return system encourages recycling and reuse of plastic bottles, reducing the need for new bottle production and decreasing overall plastic waste. The taxes or levies increase the price of bottled water, making alternatives like reusable bottles or tap water more economically attractive. The revenue generated from these taxes can be utilized for environmental initiatives such as recycling infrastructure, public awareness campaigns, and research and development of sustainable packaging materials.

Therefore, by internalizing the negative externalities associated with plastic water bottle consumption, these solutions promote responsible behavior, reduce plastic waste, and mitigate the environmental damage caused by improper disposal.

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Answer:

The answer is 9.4 m/s

Explanation:

Because you add 5.0 + 4.5= 9.4

Answer:

Percentage of solution= 5

Mass of solution= 250g

% of solution=

Mass of solution

Mass of solute

×100

∴ Mass of solute=

100

5×250

=12.5g

Explanation:

hope it's help

Answer:

The striped magnetic pattern develops because, as oceanic crust pulls apart, magma rises to the surface at mid-ocean ridges and spills out to create new bands of ocean floor. Later, after the planet’s magnetic field flips again, the next stripe of new ocean floor aligns its polarity.

Explanation:

hope this helps!

Answer:

I think it is Cinder Cone volcano.

Answer:

30m/s

Explanation:

given : 108 km/hr

1km/hr = (1000/3600) m/sec

    = 5/18 m/sec

108km/hr  = 108 * 5/18 m/sec

         = 30 m/sec

The smallest and largest wavelengths of visible light that will produce interference minima depend on the distance between the two slits and the angle of observation.

The interference minima occur when the path difference between the light waves from the two slits is equal to an integer multiple of the wavelength of the light. For a double-slit experiment, the distance between the two slits is usually in the range of micrometers or smaller, and the angle of observation is usually small. In this case, the smallest wavelength that will produce interference minima is determined by the distance between the slits, with a smaller distance allowing for smaller wavelengths to produce interference minima.

On the other hand, the largest wavelength that will produce interference minima is determined by the size of the aperture or screen, with a larger aperture allowing for larger wavelengths to produce interference minima. In general, the visible light spectrum ranges from approximately 400 nanometers (violet) to 700 nanometers (red). Therefore, the smallest and largest wavelengths of visible light that will produce interference minima depend on the experimental setup, but they will fall within this range.

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The displacement of the cyclist from point A to B is 39.3 m.

The displacement of the cyclist is equal to the change between the final position and initial position of the cyclist. This can also be described as the shortest distance between two positions.

From the given image, the displacement of the cyclist from point A to B can be determined by formula for calculating length of arc,

D = (θ/360) x 2πr

D = (90/360) x 2π x 25

D = 39.3 m

Thus, the displacement of the cyclist from point A to B is 39.3 m.

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Explanation:

the answers are calculated in above pictures

Jung believed there were two basic personality types: introverts and extraverts. Jung's theory of personality types is based on the idea that people have a dominant way of interacting with the world, either by focusing on their inner experiences (introversion) or by engaging with the external environment (extraversion).

Jung developed his theory of personality types after observing differences in how people process information and make decisions. He noticed that some individuals are more energized by their inner world of thoughts and feelings, while others are more energized by the external world of people and experiences.

Introverts tend to be more reflective, focusing on their thoughts and feelings, and may prefer solitary activities or spending time with a small group of close friends. They often need time alone to recharge their energy.

Extraverts, on the other hand, are more outgoing and seek stimulation from their surroundings. They are often more comfortable in social situations and may be seen as more expressive and talkative. Extraverts draw energy from interacting with others and are usually more at ease in larger groups.

Jung's theory of personality types emphasizes that neither introversion nor extraversion is superior to the other; instead, they represent different ways of relating to the world. By understanding these basic personality types, individuals can gain insight into their own preferences and behaviors, as well as those of others, to improve communication and relationships.

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The minimum possible coefficient of static friction between the bike tires and the ground is approximately 0.025.

Fc = (mv^2) / r

where Fc is the centripetal force, m is the mass of the cyclist, v is the velocity, and r is the radius of the curve. fs = FcTo find the minimum coefficient of static friction (μs), we can set fs equal to the maximum

possible static friction force:

fs = μsN

where N is the normal force between the bike and the ground.

N = mg

Now we can substitute the equations and solve for μs:

fs = μsN

μsN = (mv^2) / r

μs(mg) = (mv^2) / r

μs = (v^2) / (rg)

Plugging in the given values v = 11 m/s

r = 22 m

μs = (11^2) / (22 * g)

The value of g is approximately 9.8 m/s^2.

μs = 5.5 / (22 * 9.8)

μs ≈ 0.025

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The induced EMF is always such that it opposes the change in magnetic flux through the coil, regardless of whether the magnetic flux is increasing or decreasing.

According to Faraday's law of electromagnetic induction, the electromotive force (EMF) induced in a coil is directly proportional to the rate of change of magnetic flux through the coil. When the magnetic flux through the coil is increasing, the rate of change of magnetic flux is positive, and therefore the induced EMF is also positive. This leads to a current flow in the coil in such a direction that it opposes the change in magnetic flux, according to Lenz's law.

Conversely, when the magnetic flux through the coil is decreasing, the rate of change of magnetic flux is negative, and therefore the induced EMF is also negative. In this case, the current flow in the coil is in the opposite direction compared to when the flux was increasing, still in accordance with Lenz's law.

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We can see here that correctly completing this prompt, we have:

Current is produced in a conductor when it is moved through a magnetic field. This process of  applying a force on the free electrons  in the conductor and causing them to move.

This process of generating current in a conductor by placing the conductor in a changing magnetic field is called induction. There is no physical connection between the conductor and the magnet. The conductor, which is often a piece of wire, must be perpendicular to the magnetic lines of force in order to produce the maximum force on the free electrons.

In physics, current refers to the flow of electric charge in a circuit. It is measured in amperes (A) and is defined as the amount of charge that passes through a point in a circuit per unit time. In other words, current is the rate of flow of electric charge.

Current can flow through a variety of materials, such as wires or conductive solutions, and is driven by a potential difference, or voltage, between two points in a circuit.

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The mutual inductance of two coils can be calculated using the formula:

M = k * sqrt(L1 * L2)

where M is the mutual inductance, k is the coefficient of coupling, L1 and L2 are the inductances of the two coils.

Given that both coils have an inductance of 50 millihenries and the coefficient of coupling is 0.6, we can substitute these values into the formula:

M = 0.6 * sqrt(50mH * 50mH)

M = 0.6 * sqrt(2500mH^2) = 0.6 * 50mH = 30mH

So the mutual inductance of the two coils is 30 millihenries.

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