If the roller coaster weighs 10,000kg and is traveling at 85 meters per second (m/s) what is the kinetic energy? Kinetic energy is measured in joules (j)?

The person does 31.4 Joules of work when pulling the starter cord.

To calculate the work done by the person pulling the starter cord, we need to find the distance that the cord moves as it is pulled.

The circumference of the drum can be calculated as:

C = 2πr = 2 x 3.14 x 0.1m = 0.628m

So, each complete turn of the drum will wind or unwind the cord by a distance of 0.628m.

Assuming that the person pulls the cord with a constant force of 100N, the work done can be calculated as:

Work = Force x Distance

where distance is the length of cord pulled.

Since the cord is wound on the drum, the distance pulled will be equal to the length of the cord unwound from the drum.

Length of cord unwound = π x diameter of drum

= π x 10cm = 0.314m

Therefore, the work done by the person is:

Work = Force x Distance = 100N x 0.314m = 31.4 Joules (J)

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A diode is an electronic component that allows current to flow in one direction and blocks it in the opposite direction.

A diode is a semiconductor device that allows current to flow in only one direction. When the voltage across the diode is positive (forward bias), the diode conducts current easily and has a very low resistance, allowing current to flow through the diode. However, when the voltage across the diode is negative (reverse bias), the diode has a very high resistance and will not conduct any significant current.

In practical circuits, the diode is often used as a rectifier, allowing current to flow in one direction and blocking current in the opposite direction. In forward bias, the diode acts as a closed switch, allowing current to flow freely in the forward direction. In reverse bias, the diode acts as an open switch, blocking any current flow in the reverse direction.

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In a ladder diagram, these symbols are organized into horizontal rungs, which represent parallel circuits, and vertical rails, which represent power supply lines.

In a ladder diagram, contacts associated with relays, timers, motor starters, and similar devices are represented using specific symbols and notations to show their function and status. Here's a step-by-step explanation of how they are represented:

1. Normally open (NO) contact: This is represented by two parallel lines, similar to an open switch. It indicates that the contact is open when the device (relay, timer, motor starter, etc.) is not energized. The symbol is (| |).

2. Normally closed (NC) contact: This is represented by two parallel lines with a diagonal line across them, similar to a closed switch. It indicates that the contact is closed when the device is not energized. The symbol is (|/|).

3. Relay coil: A relay coil is represented by a circle with the relay's identification (usually a letter and number) inside it. When the coil is energized, it causes the associated contacts to change their state (NO contacts close, NC contacts open).

4. Timer: Timers are represented by a square or rectangle with the timer's identification inside it, and sometimes the time delay setting. Timer contacts can be either normally open (| |) or normally closed (|/|), and their state will change after the specified time delay.

5. Motor starter: A motor starter is represented by a circle with an "M" inside it. Motor starters have both normally open and normally closed contacts, depending on the function (e.g., for starting or stopping the motor). The contacts are connected in series or parallel with the motor and other control devices.

In a ladder diagram, these symbols are organized into horizontal rungs, which represent parallel circuits, and vertical rails, which represent power supply lines. The diagram provides a clear and concise way to visualize the operation and interconnection of these devices in a control circuit.

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One of the most compelling pieces of evidence is the cosmic microwave background radiation (CMB), which is a faint glow of electromagnetic radiation that fills the entire universe.

This radiation is thought to be the afterglow of the Big Bang and is consistent with the predictions of the theory. Additionally, observations of the distribution and movement of galaxies in the universe suggest that the universe is expanding. Finally, the observed abundance of light elements in the universe, such as hydrogen and helium, is also consistent with the predictions of the Big Bang theory. Together, these observations provide strong evidence that the universe began with a sudden expansion from a singularity.

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Answer:

B.  10 m

Explanation:

f = v/λ = (20 m/s)λ / (5 m) = 4 Hz    original frequency

1/2(4 Hz) = 2 Hz   half the original frequency

(20 m/s) / λ = 2 Hz

λ = (20 m/s) / (2 Hz) = 10 m

The second wavelength would increase to 10 m

The magnitude of the force per meter of length on the wire is 6.375 N/m when the wire is carrying an 8.50-A current perpendicular to a 0.75-T uniform magnetic field.

The magnitude of the force per meter of length on a straight wire carrying an 8.50-A current when perpendicular to a 0.75-T uniform magnetic field can be calculated using the formula F = BIL, where F is the magnitude of the force, B is the magnetic field strength, I is current, and L is the length of the wire.

Substituting the given values, we get:

F = (0.75 T) x (8.50 A) x 1 m

F = 6.375 N/m

This force is known as the Lorentz force, which describes the force experienced by a charged particle, such as an electron when moving in a magnetic field. In this case, the moving charges are the electrons in the wire, and the magnetic field causes them to experience a force perpendicular to their direction of motion.

This force can be used in various applications, such as electric motors and generators, where the motion of electrons in a magnetic field is utilized to produce mechanical work or generate electricity.

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The forces operating on the thing in question are considered to be into equilibrium when there is no net force on it.

The rate at which velocity changes is referred to as acceleration. velocity change over time is measured by acceleration (a). As a result, any change in direction or speed will result in a change to velocity, which will then result in acceleration.

According for the equation that a = v/t, acceleration (a) equals the product of the alteration in velocity (v) and a change in time (t).

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According to fossil evidence, South America and Africa were formerly part of a single geographical mass.

The eastern Greenland and Appalachian mountain ranges' similarity is scientists evidence for the theory of continental drift. In rocks that are the same age but on continents that are currently far apart, ancient fossils of the same species of extinct plants and animals can be found.s.

The most convincing proof, in his opinion, that the two continents were formerly connected is the existence of identical fossil species along the coasts of South America and Africa.

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The rate at which the Sun emits energy is calculated using P = σ * A * T⁴. The fraction of emitted energy intercepted by Earth is (π * R_earth²) / (4 * π * R_earth-sun²). The solar constant is P * Fraction.

Step 1: Use the Stefan-Boltzmann Law
The Stefan-Boltzmann Law states that the power (energy emitted per unit time) of a blackbody is given by:
P = σ * A * T⁴
where P is the power, σ is the Stefan-Boltzmann constant (5.67 x 10⁻⁸ W/m²K⁴), A is the surface area, and T is the effective surface temperature.

Step 2: Calculate the surface area of the Sun
The surface area of a sphere is given by:
A = 4 * π * R²
where R is the radius. Since the diameter is given, we can find the radius as half of the diameter:
R = diameter / 2

Step 3: Calculate the power emitted by the Sun
Using the surface area and temperature, calculate the power:
P = σ * A * T⁴

Step 4: Calculate the fraction of emitted energy intercepted by Earth
The fraction of emitted energy intercepted by Earth can be found by calculating the ratio of the cross-sectional area of Earth to the surface area of a sphere with a radius equal to the Earth-Sun distance.
Fraction = (π * R_earth²) / (4 * π * R_earth-sun²)

Step 5: Estimate the solar constant
The solar constant is the amount of solar energy received per unit area at the mean Earth-Sun distance. It can be calculated using the power emitted by the Sun and the fraction of emitted energy intercepted by Earth:
Solar constant = P * Fraction

By following these steps, you can estimate the rate at which the Sun emits energy, the fraction of emitted energy intercepted by Earth, and the solar constant, given the diameter and effective surface temperature of the Sun and the mean Earth-Sun distance.

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System 2 has a higher temperature because the particles are moving with greater speed. The particles in System 2 have greater kinetic energy than System 1.

What is kinetic energy?

Kinetic energy is a form of energy that an object possesses by virtue of its motion. It is defined as the energy an object possesses due to its motion and is determined by its mass and velocity. The greater an object's mass and velocity, the greater its kinetic energy.

What is velocity?

Velocity is a vector quantity that describes the rate at which an object changes its position in a specific direction. It is defined as the displacement of an object per unit of time and is measured in meters per second (m/s) or other appropriate units of distance over time. Velocity takes into account both the speed of the object and its direction of motion, making it a more precise measurement than speed.

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Using stoichiometry, use the conversion factor of 1 mol/molar mass of LiBr

Molar mass of Li = 6.941 g

Molar mass of Br = 79.904 g

Molar mass of LiBr = 6.941 g + 79.904 g

Molar mass of LiBr = 86.845 g

[tex]77.0 g LiBr(\frac{1 mol LiBr}{86.845g LiBr})\\\\0.886637112096[/tex]

There are 0.886637112096 moles of LiBr in 77.0 grams of LiBr.

The molecular mass of Lithium Bromide (LiBr) is found by adding the atomic masses of Lithium and Bromide. Given a mass of 77.0 grams of LiBr, by converting this to moles using the molecular mass, we find there are 0.887 moles of LiBr.

The process to solve this involves finding the molecular mass of Lithium Bromide (LiBr), which allows us to convert grams to moles. The atomic mass of Lithium (Li) is approximately 6.94 g/mol, and Bromide (Br) is 79.9 g/mol. Hence, the molecular mass of LiBr = 6.94 g/mol + 79.9 g/mol = 86.84 g/mol.

To calculate the quantity of moles, we use the formula: Moles = mass (grams) / molecular weight (g/mol). Given a mass of 77.0 grams, the quantity in moles = 77.0 g / 86.84 g/mol = approximately 0.887 moles of LiBr.

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The gravitational force on the object with a mass of 5 kg on the surface of the Earth is 49.05 N.

The equation that can help Stacy find the gravitational force on an object if she knows its mass is:

F = w = m x g

where:

F is the gravitational force (in Newtons, N)

m is the mass of the object (in kilograms, kg)

g is the acceleration due to gravity (in meters per second squared, [tex]m/s^2)[/tex]

The value of g varies depending on the location of the object, but on the surface of the Earth, it is approximately 9.81 [tex]m/s^2.[/tex]

To test the equation using a set of values from the table, let's say we have an object with a mass of 5 kg. Using the value of g on the surface of the Earth, we can calculate the gravitational force on the object as:

F = 5 kg x 9.81[tex]m/s^2[/tex]

F = 49.05 N.

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The time constant of the RC circuit with two capacitors in series and a 1000 Ω resistor is 0.75 seconds.

When answering questions on the Brainly platform, it is important to always be factually accurate, professional, and friendly. Answers should be concise and not provide extraneous amounts of detail. It is also important to address all relevant parts of the question and avoid ignoring any typos or irrelevant information.

In regards to the provided student question, here is an answer:In order to determine the time constant of the RC circuit that has two capacitors in series, we must first use the formula for the equivalent capacitance of a series circuit,

which is given by 1/Ceq = 1/C1 + 1/C2, where Ceq represents the equivalent capacitance of the circuit, C1 represents the capacitance of the first capacitor, and C2 represents the capacitance of the second capacitor.Using this formula,

we can calculate the equivalent capacitance of the circuit as follows:1/Ceq = 1/300x10^-9 + 1/100x10^-9 = (100x10^-9 + 300x10^-9) / (100x10^-9 x 300x10^-9) = 4/3 x 10^-9Ceq = 3/4 x 10^9 FNow that we have the equivalent capacitance of the circuit,

we can use the formula for the time constant of an RC circuit, which is given by RC, where R represents the resistance of the circuit and C represents the capacitance of the circuit.Using the given resistance of 1000 Ω and the calculated equivalent capacitance of 3/4 x 10^9 F,

we can calculate the time constant of the circuit as follows:RC = 1000 Ω x 3/4 x 10^9 F = 0.75 s

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Explanation:

Using conservation of momentum

  the bullets momentum   must equal the rifle's momnetum

5 000 gm * v  = 50 gm * 100 m/s

v = 1 m/s

The required angle of principle maxima when wavelength and diffraction grating are given is calculated to be 15.07°.

The wavelength is given as 780 nm = 780 × 10⁻⁹ m

It is given that the diffraction grating contains 3300 lines per centimetre.

Distance between the slits d = 1 cm/3300 lines = 10⁻² m/3300 lines = 3×10⁻⁶ m

The angles of principle maxima are to be found out.

We know that,

d sin θ = m λ

where,

d is the distance between slits

θ is the angle with respect to the path of the incident light

m is the order of interference

sin θ = m λ/d

θ = sin⁻¹(m λ/d) =  sin⁻¹[(1× 780 × 10⁻⁹)/(3×10⁻⁶)] = sin⁻¹ (26× 10⁻²) = sin⁻¹(0.26) = 15.07°

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Answer: Thursday, April 6, at 12:34 a.m.

Explanation:

When a parallel-plate capacitor is connected to a battery, if the plate separation is doubled the stored energy decreases by a factor of 2 while the capacitor remains connected to the battery. The correct option is (c)

The stored energy in a capacitor can be computed from the amount of charge stored on the plates and the voltage difference between them.

It is given by the formula E=½QV, where E is the energy, Q is the charge, and V is the voltage between the plates.

A capacitor stores energy in its electric field, which is created by the charge distribution on its plates.

When the plate separation is increased while the capacitor is connected to a battery, the electric field inside the capacitor decreases since the voltage across it is constant. This results in a reduced potential energy, as well as a decrease in stored energy.

As a result, the stored energy of the capacitor is reduced by a factor of 2 when the plate separation is doubled, as the electric field in the capacitor decreases by half. Therefore,option (c) is correct.

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The answer to this question is 0.64 r (option c).To calculate the magnetic field inside the wire, we can use Ampere's Law.

The magnetic field can be calculated by

1: Calculate the magnetic field strength at the surface using Ampere's Law for a long, straight wire.

2: Find the equation for the magnetic field strength at a distance x from the center of the wire.

3: Equate the magnetic field strength at distance x to half the magnetic field strength at the surface.

4: Solve for x in terms of the wire's radius r.

The answer is x = 0.64 r, which corresponds to option c) 0.64 r.

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The logic gate in figure 5.88a is NAND gate. When two inputs are joined together it will act as a NOT gate. This is shown  in figure 5.88b.

A truth table is a table that shows the output of a logic gate for all possible combinations of its input values.

a. Truth table of NAND gate is:

A B Output

0 0 1

0 1 1

1 0 1

1 1 0

b. When one input each is given to two different NOT gates and these two gates are connected to an AND gate, a NOT gate is formed.

This is the truth table for these gates:

A B ~A ~B ~A AND ~B

0 0  1   1       1

0 1  1   0       0

1 0  0   1       0

1 1  0   0       0

As you can see from the truth table, the output of the AND gate is 1 (logic high) only when both inputs to the NOT gates are 0 (logic low). In all other cases, the output of the AND gate is 0 (logic low). Therefore, the output of the entire circuit is the negation of the input A. This is the behavior of a NOT gate.

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The image of the question is attached.

The first four harmonics of a violin string vibrating at 400 Hz are 400 Hz, 800 Hz, 1200 Hz, and 1600 Hz, with each harmonic having a frequency that is a multiple of the fundamental frequency.

The first four harmonics of a violin string, which has a fundamental frequency of 400 Hz, can be computed as follows: The basic frequency, 400 Hz, is represented by the first harmonic, where n = 1. The frequency of the second harmonic (n = 2) is two times that of the main frequency. Consequently, the second harmonic's frequency is: 400 Hz + 2 f1 = 2 = 800 Hz The frequency of the third harmonic (n = 3) is three times that of the main frequency. Consequently, the third harmonic's frequency is: 400 Hz + 3 f1 = 3 = 1200 Hz The frequency of the fourth harmonic (n = 4) is four times that of the main frequency. Consequently, the fourth harmonic's frequency.

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The focal length of the eyepiece lens should be 0.076 m to give a magnification of magnitude 250.According to the magnification formula, Magnification = focal length of the objective lens / focal length of the eyepiece lens.

Magnification = 250focal length of the objective lens = 19 m Magnification = focal length of the objective lens / focal length of the eyepiece lens.250 = 19 / focal length of the eyepiece lens Rearranging the above equation to get the focal length of the eyepiece lens: focal length of the eyepiece lens = 19 / 250focal length of the eyepiece lens = 0.076 m Therefore, the focal length of the eyepiece lens should be 0.076 m to give a magnification of magnitude 250.
To achieve a magnification of 250 with a telescope at Yerkes Observatory in Wisconsin, you can use the formula.

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The actual connecting or transmission medium that carries the message in a communication system is called the communication channel.

The channel is responsible for conveying information from the sender (source) to the receiver (destination) effectively and accurately. These channels can be either wired or wireless, depending on the type of communication system being used.

Examples of communication channels include:

1. Copper wires: Commonly used in traditional telephone systems and Ethernet cables.
2. Fiber-optic cables: Offer high-speed data transmission and are used for internet connections, television signals, and more.
3. Radio waves: Enable wireless communication for devices like mobile phones, radios, and Wi-Fi routers.
4. Infrared: Used for short-range communication, such as remote controls and wireless keyboards.
5. Satellite: Allows for global communication and data transmission, especially in remote areas.

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Jet streams are bands of high-speed wind found at elevations of 9-15 km. This wind current, referred to as jet streams, is formed by a combination of atmospheric temperature, Earth's rotation, and pressure differences in the atmosphere.

What are jet streams, Jet streams are fast-flowing, narrow air currents located in the upper atmosphere or the troposphere, generally around 8 to 9 miles high in the Earth's atmosphere.

They are formed due to the combination of the Earth's rotation, temperature, and atmospheric pressure.The temperature of the air in the atmosphere decreases with increasing altitude. Because the Earth's rotation is faster at the equator than at the poles, the temperature difference causes high-altitude air to flow from west to east, resulting in a jet stream.

The band of high-speed wind called the jet stream can influence the weather in the areas they pass over. They push high and low-pressure systems around, affecting weather patterns. Jet streams are caused by differences in atmospheric pressure, Earth's rotation, and atmospheric temperature.

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The angular momentum of an object conserved A.  if there is no net torque acting on it.

Angular momentum is defined as the rotational analog of linear momentum, which is a measure of the amount of rotation an object has. The law of conservation of angular momentum states that the angular momentum of an object is conserved when there is no external torque acting on the object.

Mathematically, it can be expressed as, L = IωWhere L is the angular momentum of an object, I is its moment of inertia, and ω is its angular velocity. The angular momentum of an object is conserved when there is no net torque acting on it. This means that the total external torque acting on an object must be zero. If there is no external torque acting on an object, its angular momentum will be conserved, meaning that it will remain constant in magnitude and direction over time.

If an object experiences a torque, its angular momentum will change, and the rate of change of angular momentum will be equal to the magnitude of the torque acting on the object. Hence, if there is no net torque acting on an object, the angular momentum of that object will be conserved. An object that has no net force acting on it is not necessarily conserved, since it may still experience a torque that will cause its angular momentum to change.

However, if an object is a point particle, it can be treated as having zero moments of inertia, and its angular momentum will be conserved if there is no net torque acting on it. Therefore the correct option is A

The Question was Incomplete, Find the full content below :

under what condition is the angular momentum of an object conserved?

a. if there is no net torque acting on it.

b.  if it is a point particle.

c. if there is no net force acting on it.

d. if there are no torques acting on it

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To ensure that the speed of a circular hoop of radius r is equal to that of a sphere at the bottom, the hoop must be released from a height of r/2 above the sphere's release point.

Circular hoops are a set of steel or aluminum rings with an inner diameter of 16 inches, making them ideal for use with woven or braided nets. They are used to support the net and provide a framework for the ball to pass through. For balls up to 18 feet in diameter, we recommend a minimum of four hoops. The motion of rolling without slipping: The motion of rolling without slipping is the movement of an object without slipping.

Rolling without slipping is the motion of a circular object where there is a rolling motion of the object without slipping, meaning that the point on the outer edge of the circular object contacts the ground while rolling. The distance traveled by an object rolling without slipping can be calculated using the formula

S = Rθ

when it travels a distance θ with a radius R.

The answer to the question is that the circular hoop of radius r should be released from a height of r/2 above the sphere's release point in order to match the speed of the sphere at the bottom.

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A 264 kg merry-go-round spinning at 24 rpm has its angular velocity reduced to 14.3 rpm after a 35.4 kg person jumps on.

To tackle this issue, we really want to utilize protection of precise energy. At first, the carousel is turning at a specific precise speed and has a specific snapshot of dormancy. At the point when John bounces onto the carousel, he expands the snapshot of inactivity, which makes the carousel delayed down. Notwithstanding, since precise energy is monitored, the result existing apart from everything else of dormancy and rakish speed should stay steady.

To begin with, we should track down the snapshot of idleness of the carousel:

I =[tex](1/2)mr^2[/tex]

where

m = 264 kg (mass of the carousel)

r = 1.385 m (span of the carousel, which is half of the width)

I = [tex](1/2)(264 kg)(1.385 m)^2[/tex] = 255 kg[tex]m^2[/tex]

Then, how about we convert the underlying precise speed of the carousel from rpm to rad/s:

w_i = (24 rpm)(2π rad/1 rev)(1 min/60 s) = 2.51 rad/s

The underlying precise force of the framework is then:

L_i = Iw_i = (255 kg [tex]m^2[/tex])(2.51 rad/s) = 642.05 kg [tex]m^2/s[/tex]

At the point when John hops onto the carousel, the snapshot of inactivity of the framework increments to:

I_f = I + m*[tex]r^2[/tex]

where

m = 35.4 kg (mass of John)

r = 1.385 m (span of the carousel)

I_f = (264 kg)[tex](1.385 m)^2[/tex] + (35.4 kg)[tex](1.385 m)^2[/tex]= 429.78 kg [tex]m^2[/tex]

To find the last precise speed of the framework, we can utilize protection of rakish energy:

L_i = L_f

Iw_i = I_fw_f

Settling for w_f, we get:

w_f = (Iw_i)/I_f = (255 kg [tex]m^2/s[/tex])(2.51 rad/s)/(429.78 kg [tex]m^2[/tex]) = 1.50 rad/s

At long last, we can change over the last precise speed from rad/s back to rpm:

w_f = (1.50 rad/s)(60 s/2π rad)(1 fire up/1 turn) = 14.3 rpm

Consequently, the rakish speed of the carousel, in rpm, after John hops on is 14.3 rpm.

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One phenomenon that we see when two monochromatic light source interfere constructively or destructively is the colors that are observed on the surface of a soap bubble. So option A is correct.

Constructive interference is when two light waves overlap and combines to form a larger wave. Destructive interference is when the waves cancel each other. Constructive interference occurs when the waves are in phase with each other, and destructive occurs when they are out of phase.

A soap bubble will have an internal and an external surface. Both these surface reflects light that falls in it regardless of the source. When these two reflected waves constructively or destructively interfere, we could see colors on the surface even the light reflected by both surfaces are white.

So the correct answer is option A.

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The complete question is

We have seen that two monochromatic light waves can interfere constructively or destructively, depending on their phase difference. One consequence of this phenomenon is

A) the colors you see when white light is reflected from a soap bubble.

B) the appearance of a mirage in the desert.

C) a rainbow.

D) the way in which Polaroid sunglasses work.

E) the formation of an image by a converging lens, such as the lens in your eye

If Olaf catches the ball, the speed with which Olaf and the ball move afterward can be determined using the principle of conservation of momentum. The total momentum of a system remains constant if no external force acts on it.

the ball's momentum before being caught by Olaf equals the combined momentum of Olaf and the ball after the catch. The expression that represents this concept is pi= pf, where pi is the initial momentum of the ball (which is equal to the final momentum), and pf is the final momentum of the ball and Olaf. In general, momentum is defined as:p = mv where,m is the mass of the object in kg,v is the velocity of the object in m/sandp is the momentum of the object in kg m/s.Applying the conservation of momentum principle:pi= pf m1v1= m1v1'+m2v2', where,m1 is the mass of the ball,v1 is the velocity of the ball before being caught by Olaf,v1' is the velocity of the ball and Olaf after the catch,m2 is the mass of Olaf, andv2' is the velocity of Olaf after the catch.The velocity of Olaf before the catch is assumed to be zero because it is not mentioned in the problem statement. The problem statement asks for the velocity of Olaf and the ball after the catch, which we will represent asv1'.So, using the above formula, we get:0.5 × 3.0 kg × 20.0 m/s = 0.5 × 3.0 kg × v1' + 20.0 kg × 0 m/sHere,m1 = 0.5 kg, v1 = 20 m/s, m2 = 20 kg, andv2' = 0 m/sSolving forv1', we get:v1' = (0.5 × 3.0 kg × 20.0 m/s)/ (0.5 × 3.0 kg + 20.0 kg)= 2.73 m/sTherefore, if Olaf catches the ball, the speed with which Olaf and the ball move afterwards is 2.73 m/s.

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Answer:

a patch of light appears at a specific point on the floor due to reflection from a nearby surface. This phenomenon occurs due to the law of reflection, which states that when light hits a surface, it reflects off at an angle equal to the angle at which it struck.

Explanation:

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