which properties of the solar system are accounted for in this simple series of three diagrams depicting the solar nebula hypothesis?

Answer:

V = (S2 - S1) / t

V = 8 m / 1 s = 8 meters /second

Let T be the final temperature of water and nails (iron).

Given that the initial temperature of 100 g nails, \(T_{1F}=40^{\circ}C\).

Specific heat of the iron, \(C_F=0.12 cal/g^{\circ}C\).

So, the heat lost by nails \(= mC_F(T_{1F}-T}\)

\(=100\times 0.12 \times (40-T)\cdots(i)\)

The initial temperature of 100 g water, \(T_{1w}=20^{\circ}C.\)

Specific heat of water, \(C_w=1 cal/g^{\circ}C\)

So, the heat gained by water \(= mC_w(T-T_{1w}}\)

\(=100\times 1 \times (T-20)\cdots(ii)\)

As the exergy is conserved, so

the heat lost by the nails = the heat gained by the water

From equation (i) and (ii), we have

\(100\times 0.12 \times (40-T)=100(T-20)\)

\(\Rightarrow 0.12(40-T)=T-20\)

\(\Rightarrow 0.12\times 40 -120T=T-20\)

\(\Rightarrow 0.12T+T=4.8+20\)

\(\Rightarrow 1.12T=24.8\)

\(\Rightarrow T=24.8/1.12= 22.1^{\circ}C\)

Hence, the final temperature of both, iron nails as well as water, become \(22.1^{\circ}C\).

The spring constant for a mass of 51.7 grams on a spring that undergoes 21 cycles with a small amplitude in 3.42 seconds is 76.8 N/m.

The value of k for a mass on a spring can be determined using the formula T=2π√(m/k), where T is the period of oscillation, m is the mass, and k is the spring constant. In this problem, we know that the mass is 51.7 grams and that 21 cycles took 3.42 seconds, which means that the period of oscillation is T=3.42/21=0.163 seconds. Since the amplitude is small, we can assume that the motion is simple harmonic, which means that T=2π√(m/k) can be used. Rearranging this formula gives k=m(2π/T)^2, which gives k=51.7(2π/0.163)^2=76.8 N/m.

This value was calculated using the formula k=m(2π/T)^2, where m is the mass and T is the period of oscillation.

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A roller coaster has a mass of 250 kg, and it is 50 meters above the ground, then the potential energy will be equal to 122.5 KJ.

Potential energy is a type of energy stored that depends on the interaction between various substances. A spring's energy rises when it is crushed or expanded. A steel ball has more energy stored if it is lifted just above the floor as contrasted to dropping to the ground. As raised, it can do greater labor.

Instead of being a property of specific entities or atoms, potential energy is a property of systems. For instance, a system made up of Earth and the raised ball has far more stored energy as they move apart.

In system components, where the configurations, or spatial arrangements, dictate the magnitude of the forces that apply against one another, potential energy arises.

From the data given in the question,

Mass, m = 250 kg

Height, h = 50 meters and,

g = 9.8 m/s²

\(Potential energy(PE)=mgh\)

PE = 250 × 50 × 9.8

PE = 122500 J or,

PE = 122.5 KJ.

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Answer:

F = M a

M = 3 kg

a = 2.2 m/s^2

T = tension in rope

T - M g = M a             Where T - M g is the net force on the bucket

T = M (g + a) = 3 kg * (9/80 + 2.20) m/s^2  = 36 Newtons

It would take 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

To calculate the time required to crumple the barrier and safely slow down the person, we can use the concept of impulse.

The impulse, denoted by J, is defined as the product of force and time, and it represents the change in momentum of an object. In this case, the impulse required to safely slow down the person can be calculated using the maximum force and the person's initial momentum.

The momentum of a person is given by the product of their mass and velocity:

Momentum = mass × velocity

Given that the person's mass is 68 kg and their velocity is 27 m/s, the initial momentum is:

Initial momentum = 68 kg × 27 m/s

To safely slow down the person, the impulse provided by the barrier should be equal to the change in momentum.

Therefore, we have:

Impulse provided by barrier = Final momentum - Initial momentum

Since the person is brought to rest, the final momentum is zero. Thus, we have:

Impulse provided by barrier = -Initial momentum

Now we can express the impulse in terms of force and time:

Impulse provided by barrier = Force × Time

Plugging in the known values, we can solve for time:

-Initial momentum = Force × Time

68 kg × 27 m/s = 1180 N × Time

Simplifying the equation, we find:

Time = (68 kg × 27 m/s) / 1180 N

Evaluating the expression:

Time = 1836 kg·m/s / 1180 N

Finally, converting kg·m/s to seconds, we get:

Time ≈ 1.5559 seconds

Therefore, it would take approximately 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

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While lighting the rocket you should ensure D) decreasing the length of the stick

When lighting fireworks, avoid holding them in your hand or placing any part of your body over them. Don't carry fireworks in your pocket since the friction could set them off; instead, use eye protection. Keep pyrotechnics away from flammable objects, such as brush, leaves, and dwellings.

The continuous smoke from cracker explosions may sting or wet the eyes. Because bottle rockets are thought to be the riskiest cracker type, it's crucial to avoid them, keep a safe distance from the burning crackers, wear safety goggles, and avoid wearing contact lenses while popping crackers.

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The mass of fuel the engine burn each second to produce a thrust of 7.66×10⁵ N is 2.5×10² kg/s.

Mass can be defined as the quantity of matter contained in a body. The S.I unit of mass is kilogram(kg)

To calculate the mass the engine burns each seconds, we use the formula below.

Formual:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the mass of fuel burned in each second is 2.5×10² kg/s.

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The magnitude of reaction at the beam due to the distributed load of 25 kN/m is 625 N.

The magnitude of reaction at the beam can be determined by calculating the total force exerted by the distributed load. In this case, the distributed load is given as 25 kN/m. To find the magnitude of reaction, we multiply the distributed load by the length of the beam.

Therefore, the magnitude of reaction is 25 kN/m multiplied by the length of the beam in meters. By performing the calculation, we obtain the value of 625 N as the magnitude of reaction at the beam due to the distributed load. This represents the total force exerted by the distributed load on the beam.

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The vector sum of the two forces is 20  and the magnitude of the resultant is 20 towards positive x-axis.

A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.

If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.

The vector representation for the forces F and F are:

\(\rm \vec F_1 = 20 COS 60^0 \vec i + 20 SIN 60^0 \vec j\\\\ F_1 =20 \times \frac{1}{2} \vec i+20 \times \frac{\sqrt{3} }{2} \vec j \\\\ \vec F_1 = 10 \vec i+ 10 \sqrt{3} \vec J\)

\(\rm F_2 = 20 cos 60^0 \vec i+20 sin(-60) \vec j \\\\ F_2 = 20 \times \frac{1}{2} \times \vec i+20 \times \frac{\sqrt{3} }{2} \vec j \\\\ \vec F_2 = 10 \vec I -10\sqrt{3} \vec J\)

The vector sum of the two forces are;

\(\rm \vec R = \vec F_1+\vec F_2\\\\ \vec R = 10 \vec i+ 10 \sqrt{3} \vec J+10 \vec i-10\sqrt{3} \vec J\\\\ \vec R =20 i\)

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Option a. 8 is the correct answer because Four or fewer luminaire conductors, smaller than AWG size, and small EGCs.

It's essential to guarantee that crates or nooks that contain electrical associations have sufficient space to oblige the transmitters and hardware establishing conveyors (EGCs) without surpassing the case fill limits determined by the Public Electrical Code (NEC).

As per the NEC, four or less luminaire channels, less than American Wire Check (AWG) size, and additionally little EGCs that start in the luminaire and end in the container need not be counted while computing box fill.

This standard is intended to give a specific level of adaptability and diminish the intricacy of box fill estimations, particularly in lighting establishments where luminaire guides and little EGCs are usually utilized. Notwithstanding, it's vital to take note of that this avoidance just applies to the guides and EGCs referenced, and different guides and fittings that consume space inside the container actually should be thought about while computing box fill.

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Stagflation is the simultaneous look in an economic system of gradual increase, excessive unemployment, and growing costs.

As soon notion by economists to be impossible, stagflation has passed off repeatedly within the advanced international since the 1970s. policy answers for gradual growth generally tend to worsen inflation and vice versa.

Stagflation is a scenario of each excessive inflation and high unemployment; happens while output is falling at the same time that prices are rising. The life of labor unions and salary controls in nationalized industries sparked it.

Economists have proven that stagflation changed into conventional amongst seven primary marketplace economies from 1973 to 1982. After inflation quotes started to fall in 1982, economists' awareness shifted from the causes of stagflation to the "determinants of productiveness boom and the results of actual wages at the call for exertions".

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A cyclist starts pedalling his bicycle from rest and achieves an angular speed of 5 revolutions in 8 seconds. Afterwards, he stops pedalling and lets the bicycle move slowly before coming to a complete stop in 12 seconds. The wheels complete approximately 8.75 revolutions in total during the entire motion.

To determine the total number of revolutions of the wheels, we need to consider both periods: acceleration and deceleration.
During the acceleration phase (0 to 8 seconds), the cyclist completes 5 revolutions. Now we need to calculate the number of revolutions during the deceleration phase (8 to 20 seconds).
Assuming uniform deceleration, the angular speed decreases linearly from 5 revolutions in 8 seconds to 0 revolutions in 12 seconds. The average angular speed during the deceleration phase can be calculated as (5 + 0) / 2 = 2.5 revolutions per 8 seconds.
Now, to find the number of revolutions in the 12-second deceleration period, we can use the proportion:
2.5 revolutions / 8 seconds = x revolutions / 12 seconds
Solving for x, we get:
x = (2.5 * 12) / 8 = 3.75 revolutions
Adding the revolutions during both phases, we get the total number of revolutions of the wheels:
5 revolutions (acceleration) + 3.75 revolutions (deceleration) = 8.75 revolutions

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The required probability is 3/4.We have to compute the probability

P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.

Determine the total number of juniors.Juniors=2+6=8

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Since the number of females who are junior is 6, determine the required probability.

P(Female|Junior)=6/8=3/4

Therefore, the required probability is 3/4.

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We noticed that our cart was moving down the track at a continuous acceleration. This suggests that the cart was under a continuous force and that the constant force was being generated by the mass of the cart.

It is not possible for a thing to "have in it" or "contain" a force. One object experiences a force from another. The idea of a force includes both inanimate items and living things. A force can lower or modify the velocity of a massed item. Two simple ways to illustrate force are to push or pull. Given that it has both a magnitude and a direction, a force is a vector quantity.

Both direct force and distant action two different types of forces exist. It's clear that you utilize force consistently. Forces are just push and pull. You exert force on an object when you push or pull against it.

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Therefore, the velocity of the ball just before it hits the ground is approximately 22.1 m/s. Therefore, the closest value to this option is 21.0 m/s.

When a ball of mass 0.25 kg falls from a height of 50 m, we can calculate its velocity using the principle of conservation of energy. According to this principle, the sum of the potential and kinetic energy of an object remains constant.

Therefore, we can equate the potential energy at the initial height to the kinetic energy at the final velocity.Let's calculate the potential energy of the ball at the initial height

:Eg = mghEg = 0.25 kg × 9.81 m/s² × 50 m

Eg = 122.625 J

This is the energy that the ball has due to its position. As it falls, this energy is transformed into kinetic energy. At the moment the ball reaches the ground, all the potential energy has been transformed into kinetic energy

.Ek = 1/2mv²Ek = Egv² = 2Ek/mv = √(2Ek/m)

Let's plug in the values we obtained:Eg = 122.625 Jm = 0.25 kgv = √(2Ek/m)

We obtain:v = √(2 × 122.625 J / 0.25 kg)v = √(245.25 J/kg)v = 22.116 m/s

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Systems that experience simple harmonic motion with a significant damping effect are those with high friction, viscous fluid resistance, built-in dampers, or high resistance electrical components.

In simple harmonic motion (SHM), damping refers to the gradual reduction of oscillation amplitude due to the dissipation of energy as heat, friction, or other forms of resistance. A significant damping effect occurs when the system loses a considerable amount of its oscillation amplitude over time. Among various systems that can experience SHM with a significant damping effect are:

1. A mass-spring system with a high friction coefficient: In this system, a mass is attached to a spring and oscillates back and forth. The friction between the mass and the surface it moves on creates a damping effect, reducing the amplitude of the oscillations over time.

2. A pendulum in a viscous fluid: When a pendulum swings in a viscous fluid such as oil, the fluid resistance acts as a damping force, gradually diminishing the amplitude of the pendulum's oscillations.

3. A vibrating mechanical system with dampers: In some mechanical systems, like a car suspension or a building's structural supports, dampers are incorporated to reduce vibrations. These dampers convert the kinetic energy of the vibrating system into heat or other forms of energy, leading to a significant damping effect.

4. An oscillating electrical circuit with a high resistance component: In an electrical circuit containing inductive and capacitive components, oscillations can occur due to the exchange of energy between the magnetic and electric fields. The presence of a high resistance component in the circuit results in significant damping, as energy is dissipated as heat.

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Complete Question:

19. which of the following systems will experience simple harmonic motion with a significant damping effect?

The right end of the conductor will be positive.

What is charging by conduction ?

The charging by induction process is where the charged particle is held near an uncharged conductive material that is grounded on a neutrally charged material. The charge flows between two objects and the uncharged conductive material develop a charge with opposite polarity.

When an uncharged object is placed very close to a charged conductor without touching, the nearer end acquires a charge opposite to the charge on the charged conductors and the two bodies attract. This is called charging by induction. The net charge on the bodies remains the same and body is charged until they are kept close or brought in contact.  

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Answer: A

Explanation:

I took the test before and also have a great day

Leftover ice-rich planetesimals are called comets. Comets are tiny gaseous objects with light energy and they revolves around the solar system.

Most of the remaining planetesimals were flung into the Sun or into far-off orbits around it by the gravity of the planets after they were formed. The Kuiper Belt, which lies just outside Neptune's orbit, and the Oort Cloud, which is much further out, both have billions of these ice remains in orbit.

When one of these bodies' orbit is occasionally perturbed, it falls towards the Sun and transforms into a comet with a protracted tail of incandescent gas.

Extinct comets that have made numerous close approaches to the Sun have almost completely lost all of their flammable ices and dust, and they may eventually resemble tiny asteroids.  It is believed that asteroids formed within the orbit of Jupiter rather than in the outer Solar System, giving them a distinct origin than comets.

However, the line separating asteroids and comets has become more hazy since the discovery of active centaur minor planets and main-belt comets.

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Answer:

Explanation:

According to the Law of Momentum Conservation, what happens after the collision has to equal what happened before the collision because momentum cannot be created nor destroyed; it has to go somewhere else. Like energy eventually dissipates into heat. The equation for this is:

\([m_Av_A+m_Bv_B)]_b=[(m_Av_A+m_Bv_B)]_a\) and filling in our info, calling right positive and left negative:

[(24(3.2) + 32(-12.8)] = [(24(-2.9) + 32(vB)] and

[(77 - 410)] = [(-7.0 × 10¹ + 32vB)] and

-330 = -7.0 × 10¹ + 32vB and

-260 = 32vB so

vB = -8.1 m/s Thus, cart B is moving to the left at a velocity of 8.1 m/s

(I used the rules for sig dig very intentionally and correctly; I'm not sure how strict your teacher is about them. I require my students to use the rules to perfection, as I did here.)

Answer:

D. Wind

Explanation:

Wind is Basically nothing how can you even use wind again when you cant even touch it you can only feel wind.

The x and y components of the vector a = 15 m/s^2 and 39 left of y axis are -14.4, 3.99 m/s^2.

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The resistance of the electric heating element can be determined using Ohm's law, which states that resistance (R) is equal to voltage (V) divided by current (I). In this case, the voltage across the element is given as 232 volts and the current flowing through it is 19 amperes. The correct option is 12 ohms.

Applying Ohm's law, we calculate the resistance as:

R = V / I

R = 232 volts / 19 amperes

R ≈ 12 ohms

Therefore, the resistance of the element is approximately 12 ohms. This means that for every ampere of current flowing through the element, there is a voltage drop of 12 volts. The resistance value of 12 ohms indicates that the element has a moderate level of electrical resistance, which allows it to generate heat efficiently when current flows through it. Thus, the correct option is 12 ohms.

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Answer:

It is an educated guess

Explanation:

let me know if the bottom ones need to be answered too.

Potable water is fit for drinking. Option E

Potable water is water that is safe for human consumption and considered fit for drinking. It is free from harmful bacteria, viruses, chemicals, and other contaminants that can cause health problems.

Potable water can come from different sources such as groundwater, surface water, or treated wastewater, and it is typically treated and disinfected to ensure its safety before being distributed to consumers.

Portable water isn't known as industrial wastewater, irrigation water, groundwater and sewage.

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Answer:

20 m/s

Explanation:

Given

Solving

Answer:

1) Used in optical instruments such as telescopes.

2) Used to form mirages

Explanation:

1) Perhaps the simplest example of this is the astronomical refractor telescope with a right-angle eyepiece holder. Astro scopes mostly point at things high in the sky, but it is inconvenient to place your eye low to look up through the scope, so the light path is bent 90 degrees just before the eyepiece. This can be done with a mirror, but using a simple 45 degree prism (internal angles 45, 45, and 90 degrees) will do the 90 degree bend more efficiently.

2) So when a light pass from cold air to hot air light tends to bend from its path which is known as refraction. As the light get refracted it reaches to a point where the light tends to form 90 degree angle.

Answer:

So the velocity of ball A after the collision is 1.80 m/s.

Explanation:

The momentum conservation equation for a collision is given by the equation:

MAVA + MBVB = MAV'A + MBV'B

Substituting in the given values, we have:

MA2.00 m/s + MB(-3.60 m/s) = MAV'A + (MB(5.60 m/s + V'A))

Since MA=MB, we can simplify the equation further:

2.00 m/s + (-3.60 m/s) = V'A + (5.60 m/s + V'A)

Solving for V'A, we get:

V'A = 1.80 m/s

So the velocity of ball A after the collision is 1.80 m/s.

The speed at which the driver must drive for the remaining time to complete the trip in the usual time is 61.25 miles per hour.

The total distance the driver should cover is 500 miles and this should be completed in 9 hours.

Based on the information provided, the regular speed is:

However, we know today he has covered 110 miles and he is 20 minutes late. This means, there are 390 miles to cover and the remaining time is 6.7 hours.

Based on this, let's calculate the new speed:

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Answer:

p(momentum) = mass(kg) x velocity (m/s)