a firework, initially at rest, explodes into two pieces, one of which, weighing 2.0\ \text{kg}2.0 kg2, point, 0, space, start text, k, g, end text, flies to the right at 15\ \frac{\text m}{\text s}15 s m ​ 15, space, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. the other piece flies to the left at 20\ \frac{\text m}{\text s}20 s m ​ 20, space, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. what is the mass of the firework before explosion?

Answer: The authors had to completely rewrite this chapter on planetary system formation because scientific knowledge and understanding of the topic have advanced significantly since the first edition of the textbook came out in 1993. For example, we now have a better understanding of how different planets form and the role of collisions in the formation of a solar system.

Why have the authors had to completely rewrite this chapter on planetary system formation?

The authors have had to completely rewrite this chapter on planetary system formation because of the new discoveries made in the field of astronomy. Over the years, several discoveries have been made, which have changed our understanding of how planets form.

There are various methods by which planets can form, and new discoveries have been made in this area, which are in conflict with the previously accepted theories.

As a result, the authors had to rewrite the chapter to incorporate these new discoveries and theories. This ensures that the textbook remains up-to-date and accurate.

A textbook on planetary system formation was published in 1993. Since then, several discoveries have been made in the field of astronomy. As a result, the authors have had to completely rewrite this chapter on planetary system formation.

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The rate at which the magnetic field strength is changing is approximately 50.0 V/m².

The induced electromotive force (emf) in a loop is given by the equation:

emf = -N × (dΦ/dt)

where:

emf: induced electromotive force,

N: No. of turns in the loop,

dΦ/dt: rate of change of magnetic flux through the loop.

In this case, we are given the emf as 25.0 V and the area of the loop as 1.0 m².

First, let's calculate the number of turns in the loop. Since it is not specified, let's assume it has only one turn.

N = 1

Now, let's determine the rate of change of magnetic flux through the loop.

The magnetic flux through a loop is given by the equation:

Φ = B × A × cosθ

where:

Φ: magnetic flux,

B: magnetic field strength,

A: area of the loop,

θ: angle between magnetic field & normal to the loop.

Given:

A = 1.0 m²,

θ = 30.0°,

emf = 25.0 V,

N = 1

Rearranging the equation for magnetic flux, we can solve for the rate of change of magnetic field strength:

(dΦ/dt) = emf / (-N × A × cosθ)

Substituting the given values:

(dΦ/dt) = 25.0 V / (-(1) × (1.0 m²) × cos(30.0°))

(dΦ/dt) ≈ 50.0 V/m²

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Alternative sources of energy among the given options are wind power, geothermal power, and nuclear power

Alternative sources of energy are those that can be used as an alternative to traditional fossil fuels like coal, oil, and gas. They are typically more sustainable and have a lower environmental impact.

From the given options, the following are considered alternative sources of energy:

1. Wind power: Wind power harnesses the energy from the wind to generate electricity. Wind turbines capture the kinetic energy of the wind and convert it into electrical energy. This is a renewable source of energy that does not produce greenhouse gas emissions.

2. Geothermal power: Geothermal power utilizes the heat from the Earth's core to generate electricity. This energy is extracted by tapping into hot water or steam reservoirs beneath the surface. Geothermal energy is considered a clean and renewable source of power.

3. Nuclear power: Although controversial, nuclear power is considered an alternative source of energy. It involves the process of nuclear fission, where the energy released from splitting atoms is used to generate electricity. Nuclear power plants do not emit greenhouse gases during operation, but concerns regarding safety and waste disposal exist.

The most controversial form of alternative energy among the given options is nuclear power. While it does not emit greenhouse gases during operation, there are concerns about the potential risks associated with accidents and the disposal of radioactive waste.

It's important to note that other alternative sources of energy exist, such as solar power, hydropower, and biomass energy. These sources also play a significant role in reducing reliance on fossil fuels and mitigating climate change.

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Geothermal Power, Wind Power, and Nuclear Power are alternative sources of energy. They are sustainable, clean, and are replenished naturally. However, Nuclear Power, while efficient, is controversial due to the risks involved.

The three alternative sources of energy from the given options could be: a. Geothermal Power, b. Wind power, and d. Nuclear Power. Alternative energy sources are those that are replenished by ongoing natural processes over human timescales as they provide energy in a clean and sustainable way. These alternatives do not rely on fossil fuels and hence, are environment-friendly and can help mitigate issues related to carbon emission and global warming.

Among these, the most controversial form of alternative energy could be considered d. Nuclear Power. While it is a powerful and efficient source of energy, it has serious associated risks including radioactive waste disposal, environmental damage due to accidents, and potential misuse of nuclear technology.

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Two spherical objects have masses of 8000 KG and 1500 KG their centers are separated by a distance of 1.5 M, the gravitational attraction between them is 3.56 × 10⁻⁴N.

The gravitational force, also known as gravity, pulls objects with mass in the same direction. We frequently think about the Earth's gravitational pull. This force is firmly holding your body in place. But every mass-bearing object attracts other mass-bearing objects toward it through gravity.

Using the formula of gravitational attraction

F = G× M₁M₂/d²

where G = 6.67 × 10⁻¹¹ Nm²Kg⁻²

M₁ = 8000Kg

M₂ = 1500 Kg

F =  6.67 × 10⁻¹¹ × 8000 × 1500 / (1.5)²

F = 3.56 × 10⁻⁴ N

The gravitational force of attraction between them is 3.56 × 10⁻⁴ N.

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Answer:

a = 0.3 m/s²

Explanation:

Given: 45 N, 150 kg

To find: a

Formula: \(a = \frac{F}{m}\)

Solution: To find a, divide the force by the weight  

A = F ÷ m

=  45 ÷  150

= 0.3 m/s²

Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.

Answer:

simple machine, any of several devices with few or no moving parts that are used to modify motion and the magnitude of a force in order to perform work. ... The simple machines are the inclined plane, lever, wedge, wheel and axle, pulley, and screw.

Answer:

7 1/3 seconds

Explanation:

28/3=7 1/3

Thymine is used in DNA instead of uracil because thymine is less likely to undergo spontaneous deamination than uracil. Option E.

Spontaneous deamination is a process in which an amino group is removed from a nitrogenous base, which can lead to changes in the base-pairing properties of DNA.

Uracil is more susceptible to spontaneous deamination than thymine, which can lead to mutations in the DNA sequence. Therefore, the use of thymine instead of uracil in DNA helps to maintain the stability and fidelity of the genetic code.

While thymine is energetically more expensive to synthesize than uracil, the benefits of using thymine in DNA outweigh the costs.

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The elastic modulus parallel to the fibers of a composite material made of type E-glass fibers embedded in a matrix of ABS plastic, with all fibers to be aligned in the same direction can be calculated as follows:First, we need to calculate the elastic modulus of each component of the composite material.

The elastic modulus of type E-glass fibers is 72 GPa, and the elastic modulus of ABS plastic is 2.5 GPa.Next, we need to calculate the volume fraction of each component. If we assume that the composite material is made up of 60% type E-glass fibers and 40% ABS plastic, then the volume fraction of type E-glass fibers is 0.6, and the volume fraction of ABS plastic is 0.4.

Finally, we can use the rule of mixtures to calculate the elastic modulus parallel to the fibers. The rule of mixtures states that the elastic modulus of a composite material is equal to the weighted average of the elastic moduli of the individual components, where the weights are the volume fractions.

Therefore, the elastic modulus parallel to the fibers is given by:

Elastic modulus parallel to fibers = (Volume fraction of type E-glass fibers x Elastic modulus of type E-glass fibers) + (Volume fraction of ABS plastic x Elastic modulus of ABS plastic)

Elastic modulus parallel to fibers = (0.6 x 72 GPa) + (0.4 x 2.5 GPa)

Elastic modulus parallel to fibers = 43.5 GPaSo, the elastic modulus parallel to the fibers of the composite material is 43.5 GPa.

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The angle θ is approximately 0.688°, and the angle θ' is approximately 1.988°.

To determine the angles θ and θ' in the given scenario, we can use Snell's Law, which relates the angles of incidence and refraction to the refractive indices of the media involved. Snell's Law can be stated as follows:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Where:

n₁ is the refractive index of the medium of incidence (in this case, air with a refractive index close to 1),

θ₁ is the angle of incidence,

n₂ is the refractive index of the medium of refraction (in this case, linseed oil with a refractive index of 1.48), and

θ₂ is the angle of refraction.

Let's solve for the unknown angles θ and θ' using the given information.

Given:

Angle of incidence θ = 1°

Refractive index of linseed oil n₂ = 1.48

We need to find the angle of refraction θ₂.

Using Snell's Law, we have:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Since the refractive index of air (n₁) is approximately 1, we can simplify the equation to:

sin(θ₁) = n₂ * sin(θ₂)

Plugging in the values:

sin(1°) = 1.48 * sin(θ₂)

We can now solve for θ₂:

θ₂ = arcsin(sin(1°) / 1.48)

Calculating this value, we find:

θ₂ ≈ 0.688°

Now, let's determine the angle θ'.

Given:

Angle of refraction θ₂ = 0.688°

Refractive index of linseed oil n₂ = 1.48

We need to find the angle of incidence θ'.

Using Snell's Law, we have:

n₂ * sin(θ₂) = n₁ * sin(θ')

Since the refractive index of air (n₁) is approximately 1, we can simplify the equation to:

n₂ * sin(θ₂) = sin(θ')

Plugging in the values:

1.48 * sin(0.688°) = sin(θ')

Solving for θ', we find:

θ' = arcsin(1.48 * sin(0.688°))

Calculating this value, we get:

θ' ≈ 1.988°

Therefore, the angle θ is approximately 0.688°, and the angle θ' is approximately 1.988°.

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The observation of a gibbous Venus through the telescope proved that the Ptolemaic model was incorrect.

In the Ptolemaic model, which was the prevailing geocentric model of the universe in ancient times, it was believed that all celestial bodies, including the planets, orbited around the Earth in perfect circles. According to this model, the size and shape of the planets' orbits remained constant.

However, with the invention of the telescope and advancements in observational astronomy, scientists like Galileo Galilei began to make detailed observations of celestial objects. One of Galileo's significant observations was the observation of Venus through a telescope.

Therefore, the observation of a gibbous Venus through the telescope played a crucial role in refuting the Ptolemaic model and supporting the heliocentric model of the solar system.

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The object would be moving at a constant velocity of 2 m/s.

A vector number called velocity is used to explain how quickly an object's position changes in relation to time. It is stated in terms of metres per second (m/s) or kilometers per hour (km/h), and is defined as the displacement (change in position) of an object divided by the time interval during which the displacement occurred.

The momentum (p) of an object is defined as the product of its mass (m) and velocity (v):

p = mv

We can rearrange this equation to solve for velocity:

v = p / m

Substituting the given values, we get:

v = 10 kg.m/s / 5 kg

Simplifying the expression, we get:

v = 2 m/s

Therefore, the object is moving at a constant velocity of 2 m/s.

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Answer:

d and a

Explanation:

The embryo's cells grow larger in size, and the embryo's cells take in water and nutrients. The correct options are A and D.

The two processes that occur when the sea urchin embryo matures, according to the information presented, are:

The embryo's cells grow in size: During the embryo's growth and development, individual cells divide and grow in size, contributing to the organism's total growth.

The embryo's cells actively take in water and nutrients from the surrounding environment: As the embryo grows, its cells actively take in water and nutrients from the surrounding environment to support metabolic processes and offer the essential resources for growth and development.

Thus, choices A and D represent the proper processes that occur while the sea urchin embryo develops.

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Magnetic field is stronger at the poles whereas weaker at the center.

The magnetic field on the bar magnet is strongest at the poles because the field lines are most concentrated at the poles while on the other hand, the magnetic field is weaker in the central part of magnet.

Magnetic field has equal amount of strength at both the poles so in my opinion as well as scientific point of view, magnet field is stronger at the poles and weaker at the center of magnet.

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Terrestrial planet cores contain mostly metal because of their high density and the process of differentiation during their formation.

Terrestrial planets, such as Earth, Mars, Venus, and Mercury, have cores that are primarily composed of metal. This is a result of two main factors: the high density of metals and the process of differentiation during the formation of these planets.

In the early stages of planetary formation, the solar system was filled with a mixture of various materials, including metals, silicates, and gases. Due to their high density, metals such as iron and nickel tended to sink towards the center of the forming planet, while lighter materials like silicates rose to the surface, forming the planet's mantle and crust.

Furthermore, the process of differentiation played a significant role in concentrating metals in the core. Differentiation occurs when a planet's interior heats up and becomes partially molten, causing the dense, heavy materials to sink to the core while the lighter materials rise towards the surface. Over time, this process results in a planet with a metal-rich core and a mantle and crust composed of lighter materials. This is why terrestrial planet cores are predominantly made up of metal.

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When the output does not meet the equilibrium quantity in a market, a situation known as disequilibrium occurs. Disequilibrium refers to a state where there is an imbalance between the quantity demanded and the quantity supplied of a particular good or service. In this situation, two possibilities can arise: Excess Demand and Excess Supply.

Excess Demand: If the quantity demanded exceeds the quantity supplied, it creates a situation of excess demand or a shortage. Consumers are willing to purchase more of the product at the prevailing price than what is available in the market. This can lead to increased competition among consumers, rising prices, and a potential loss of potential sales for suppliers.

Excess Supply: On the other hand, if the quantity supplied exceeds the quantity demanded, it creates a situation of excess supply or surplus. Suppliers are producing more of the product than what consumers are willing to purchase at the prevailing price. This can lead to price reductions, decreased profitability for suppliers, and a buildup of unsold inventory.

In either case, the market is not in equilibrium, and there is a discrepancy between the quantity demanded and the quantity supplied. In response to disequilibrium, market forces such as price adjustments, changes in consumer behavior, or shifts in production levels may occur in an attempt to restore equilibrium.

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To produce a stronger field in a long solenoid, you need to increase the number of turns of wire per unit length.

In a long solenoid, the magnetic field strength is directly proportional to the number of turns of wire per unit length. Increasing the number of turns of wire per unit length, therefore, increases the magnetic field strength. However, increasing the radius and length of the solenoid does not have the same effect.

Increasing the radius of the solenoid reduces the magnetic field strength at the center of the solenoid, while increasing the length of the solenoid only increases the magnetic field strength at the ends of the solenoid. Hence, if you want to produce a stronger magnetic field throughout the solenoid, increasing the number of turns of wire per unit length is the best option.

The magnetic field strength of a long solenoid is a uniform radial field, meaning that the magnetic field strength is the same at all points along the radial direction. Therefore, the field strength for the east radial field has only one peak, which is at the center of the solenoid.

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The radius of the spheres of influence of Mercury, Venus, Mars, and Jupiter can be found in Table A.2.

Table A.2 provides the radius of the spheres of influence of various celestial bodies, including Mercury, Venus, Mars, and Jupiter. The radius of a sphere of influence is the distance from the center of the planet at which the gravitational influence of the planet is stronger than the gravitational influence of any other celestial body. For Mercury, the radius of the sphere of influence is approximately 0.39 astronomical units (AU), for Venus it is approximately 0.72 AU, for Mars it is approximately 1.52 AU, and for Jupiter it is approximately 31.0 AU. These values are useful for understanding the extent of each planet's gravitational pull on objects in its vicinity.

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Answer:

Alpha decay is the least penetrating. This is because the Alpha particle produced during the decay process is relatively large and low in energy thus it is easily 'blocked' and does not travel far through space.

Explanation:

The surveyor's steel tape is 100 feet long and has a cross-sectional area of 0.006 square inches. When in use, it must be stretched with a pull of 16 pounds.

The pull is defined as a force that causes an object to move towards the person who is pulling the object. Opening a door, plucking the string of a guitar, drawing a bucket of water from the well, and pulling the curtain are all examples of pull force.

When using a 100-foot-long surveyor's steel tape with a cross-sectional area of 0.006 square inches, it is necessary to apply a 16-pound pull to ensure accurate measurements.

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Answer:

0.4329 seconds

Explanation:

We are given;

Distance; d = 0.635 m

Velocity; v = 3.22 m/s

Angle; θ = 62.9°

To find the time, we have to find the horizontal component of the velocity.

Thus, Vx = 3.22 × cos 62.9

Formula for time is;

t = d/Vx

t = 0.635/(3.22 × cos 62.9)

t = 0.4329 sec

Thus the time he will take to clear the hurdle is 0.4329 sec

The gravitational force between the two identical 5000.0 kg asteroids separated by 100.0 m is approximately 0.167 N (Newtons).

To calculate the gravitational force between two identical 5000.0 kg asteroids separated by 100.0 m, you can use the universal law of gravitation. The formula is:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant (6.674 x 10^-11 N(m/kg)^2), m1 and m2 are the masses of the asteroids (5000.0 kg each), and r is the distance between their centers of mass (100.0 m).

F = (6.674 x 10^-11 N(m/kg)^2) * (5000.0 kg * 5000.0 kg) / (100.0 m)^2
F = (6.674 x 10^-11) * (25000000 kg^2) / (10000 m^2)
F ≈ 0.167 N

The gravitational force between the two identical 5000.0 kg asteroids separated by 100.0 m is approximately 0.167 N (Newtons).

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Answer:

March 21 = Vernal Equinox

Artic = North Pole

December 21 = Winter Solstice

Meridians = Longitude

September 23 = Autumnal Equinox

Greenwich, England = Prime Meridian

Antarctic = South Pole

Marianas Trench = Lowest point on earth

Parallels = Latitude

International Date Line = 180th Meridian

Explanation:

Answer: Got this from a web search... Change the answer up a bit

Explanation:

The distance travelled is the path taken by a body to get from an initial point to an end point in a given period of time, at a certain velocity. If the velocity is constant: Distance = time * velocity. d = v*t.

Answer:

I researched and found it to be TIME * VELOCITY ( d= v*t)

Explanation:

When I use * I just mean multiply. So its time 'multiplied by velocity' in order to get 'distance'

The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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Answer: energy=mc^2 is the answer

Answer:

E represents units of energy

Explanation: