Diane is training for a marathon and goes to the track (400 m) to run every morning.If Diane runs around the track 10 times, what is the distance in meters that she travels? Do not include the unit in your answer.

Answer:

Weight = 3217.68

Explanation:

N times Gravity = weight

Gravity= 9.81

The weight of the emperor penguin whose mass is 328 Kg on is 3214.4 Newtons.

Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -

W = m x g

where -

[m] is the mass of object

[g] is acceleration due to gravity

Given is the mass of an emperor penguin as 328 Kg.

We can write -

Mass [m] = 328 kg

Acceleration due to gravity [g] = 9.8 m/s²

Therefore, the weight of the emperor penguin will be

W[P] = m x g = 328 x 9.8 = 3214.4 Newtons

Hence, the weight of the emperor penguin whose mass is 328 Kg on is 3214.4 Newtons

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Answer:

low angle     n₁ sin θ₁ = n₂ sin θ₂

critical angle    sin θ₁ = \(\frac{n2}{n1}\)    θ₁ = θ_{reflected}

Explanation:

When the light ray touches the two surfaces of the refraction according to the Law of Refraction

           n₁ sin θ₁ = n₂ sin θ₂

In this problem the ray goes from the material with the highest index to the lowest index, in the middle of the incident it has the subscript 1

           sin θ₂ = \(\frac{n_1}{n_2}\) sin θ₂

What

           n₁/n₂> 1

in refracted ray it moves away from normal.

As the incident angle increases, a value is reached where sin θ₂ = 1, for this angle

            sin θ₁ = \(\frac{n2}{n1}\)

This angle is called critical and as the sine function cannot have values greater than 1, the ray is reflected, therefore it must comply with the law of reflection where the incident angle is equal to the reflected angle.

The acceleration of a particle on the outer edge of the armature is equal to the tangential acceleration which is equal to the angular acceleration multiplied by the armature radius.

The angular acceleration is equal to the total angular velocity divided by the time it takes to complete one revolution. In this case, the angular velocity is equal to the constant rate of 100 rev/min which is equal to 6.28 rad/s.

The time it takes to complete one revolution is equal to 1/100 minutes which is equal to 6 seconds. The acceleration of the particle on the outer edge of the armature is therefore equal to 6.28 rad/s divided by 6 seconds which is equal to 1.047 rad/s2.

This acceleration is equivalent to 2.847 m/s2.

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True, due to the protective nature of the ozone layer and the absorption of UV radiation, conducting ultraviolet astronomy from space is necessary to gather accurate and detailed data about celestial objects and phenomena emitting UV light.

The ozone layer plays a crucial role in protecting the Earth's surface from harmful ultraviolet (UV) radiation. It absorbs a significant portion of the Sun's UV rays, preventing them from reaching the surface and potentially causing damage to living organisms.

As a result, to observe and study ultraviolet astronomy, which involves the detection and analysis of celestial objects and phenomena emitting UV radiation, observations must be conducted from space. By observing from space, astronomers can bypass the Earth's atmosphere, including the ozone layer, and directly capture the UV light from celestial sources.

UV astronomy satellites and telescopes, such as the Hubble Space Telescope and the International Ultraviolet Explorer (IUE), have been specifically designed and deployed to conduct observations in the ultraviolet spectrum. These instruments are situated above the Earth's atmosphere, enabling them to capture and analyze UV radiation without interference from atmospheric absorption.

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Answer: 4K1

Explanation:

Answer:

Let's see the forces in the cup:

The gravitational force will act in the plane parallel to the inclined surface.

Because the surface is not smooth, we will have a friction force, which direction is opposite to the velocity vector.

The component of the gravitational force perpendicular to the surface is canceled with the normal force, so we will not have that in our diagram.

The correct option is not shown, so i will draw a simple sketch so you can identify the correct option:

Where the direction of the velocity is shown so we can know the direction of the friction force,

And we assume that both forces are applied on the center of mass, this is an oversimplified case, but this is the approach we usually take in this type of problems.

Answer:

For me it was B.    Fn is going to the NW.  Ff is going NE. Fg is going straight down.

Explanation:

The image formed at the distance between the masquerade dancers and the man is -0.25m. The negative sign indicates the image is a virtual image.

A mirror is a reflective surface that includes the light that bounces back the light. The mirror produces a real and a virtual image. When an object is placed in front of a mirror, the image is produced in the mirror. The image is formed from the reflected rays from the object when light falls on it.

From the given,

the distance between the masquerade dancers (Do) = 6m

The mirror is placed at a distance from man = 0.25m

The image is formed between the man and dancers, Di = -Do

Di = -Do

   = -0.25 m

The image formation from an object is - 0.25 m and the negative sign indicates the image is a virtual image.

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No, a rocking chair would not be a good solution for a rescue team. A rocking chair is a comfortable seat designed for relaxation and leisure, not for use in a rescue situation.

Relaxation is the process of reducing physical and mental tension, typically through calming activities. It can help reduce stress, alleviate anxiety, and improve overall well-being. Relaxation techniques can include deep breathing exercises, progressive muscle relaxation, mindfulness meditation, guided imagery, and yoga. When practiced regularly, relaxation can help to relieve physical and mental tension, promote better sleep, and increase feelings of calm.

Rescue teams need equipment and supplies that are specifically designed for the purpose of rescuing people or animals in danger. This could include items such as climbing equipment, medical supplies, first aid kits, and more.

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The change in internal energy of the system is -0.27 kJ.

The change in internal energy (ΔU) of a system can be calculated using the first law of thermodynamics, which states that the change in internal energy is equal to the heat added to the system minus the work done by the system:

ΔU = Q - W

Given that the system is a balloon cooled by removing 0.653 kJ of heat (Q = -0.653 kJ) and the atmosphere does 383 J of work on the balloon (W = -383 J), we can substitute these values into the equation:

ΔU = -0.653 kJ - (-383 J)

Converting the units to have consistent values, we have:

ΔU = -0.653 kJ - (-0.383 kJ)

ΔU = -0.27 kJ

Therefore, the change in internal energy of the system is -0.27 kJ. The negative sign indicates a decrease in internal energy, which is consistent with the cooling of the balloon and the work done by the atmosphere.

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True. Cone cells are specialized photoreceptor cells found in the retina of the eye that are responsible for color vision.

These cells use different types of photopigments or retinal molecules to absorb different wavelengths of light. There are three different types of cone cells, each with a different photopigment that absorbs light at different wavelengths.

One type of cone cell absorbs light in the short-wavelength range (blue), another in the medium-wavelength range (green), and the third in the long-wavelength range (red).

When light enters the eye and is absorbed by the appropriate cone cells, this information is then processed by the brain, which allows us to perceive color.

Cone cells are essential for color vision and provide us with the ability to distinguish between different colors and shades. In contrast, rod cells are another type of photoreceptor cell that is responsible for detecting light in low light conditions but do not contribute to color vision.

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Answer:

A siphon is a tube that allows liquid to travel upward, above the surface of the origin reservoir, then downwards to a lower level without using a pump. When a certain amount of water moves over the bend in the siphon, gravity pulls it down on the longer leg lowers the atmospheric pressure in the bend of the siphon.

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Explanation:

The turntable's angular speed, in rpm, just after this event is 50rpm (using moment of inertia calculation).

It is defined as the tendency of an object to remain in a state of rest or of a constant rotational velocity. Greater the moment of inertia, more torque is required to change this state. Torque in rotational motion plays the same role as force in linear motion.

What is the turntable's angular speed (in rpm) just after this event?

Moment of inertia of the turntable is
I₁ = (M*R²) / 2

= ( 2kg) * (0.2m / 2)² / 2

= 0.01 kg.m²

W₁ = 100 rpm

Moment of inertia when two blocks stick,

I₂ = I₁ + 2m*r²

= 0.01 + 2*(0.5kg)*(0.1m)²

= 0.02

from conservation of angular momentum

L₁ = L₂

I₁ * W₁ = I₂ * W₂

0.01 * 100rpm = 0.02*W₂

W₂ = 50rpm

Therefore, the turntable's angular speed is 50rpm based from the calculation above.

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Answer:

Explanation:

Yes, that is correct! A mineral, as defined by geologists, is a naturally occurring solid substance with a definable chemical composition and a fixed crystalline structure. This definition is based on the idea that minerals have a specific chemical composition and crystal structure that can be used to identify and classify them. The crystalline structure of minerals gives them unique physical properties, such as hardness, luster, and cleavage, that can be used to distinguish them from other substances.

Total work done by the child: Since the force acts on the two wagons together, the total mass is 10 + 10 = 20 kg. The distance covered by the wagons is 5.0 m. the total work done by the child is given by: W = F d W = (30 N) (5.0 m) W = 150 J

The problem is asking for the change in kinetic energy of the two-wagon system. The initial kinetic energy of the wagons is zero since they were at rest before the child started pulling them. Therefore, the final kinetic energy of the system is equal to the work done by the child: K f = W = 150 J The change in kinetic energy of the system is then:ΔK = K f - K_iΔK = 150 J - 0ΔK = 150 J

The child exerts a force of 30 N for a distance of 5.0 m on two wagons of mass 10 kg each. The total work done by the child is 150 J, which is equal to the change in kinetic energy of the two-wagon system. Therefore, the answer is (b) 150 J.

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If alcohol or drugs are used in small quantities, and with little or no damaging consequences, it's not usually considered drug abuse.

The correct option is A.

A person who has completed his 18 years of age, wants to drive any vehicle whether car or bike, he must have a license called the driver's license.

Drug abuse is the aggressiveness developed in person after drinking alcohol.

In countries, when a person takes in alcohol with little or no damaging consequences, he is not to be considered as drug abuse.

The given statement is True.

Thus, the correct option is A.

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Answer:The object has negative acceleration and eventually stops.

Explanation:

Answer:not sure

Explanation:

Sorry:(

Answer:

Movement

Explanation:

The size of a land animal is related to the speed it can attain on the function of its body weight.

However, the speed of an animal is determined by its size in relation to it's body weight.

So therefore, it may seem intuitive that animals with longer limbs or fins will travel far and fast

Vertebrates can simply be defined as those animals with backbones.

The classes of vertebrates are:

So therefore, the size of a land animal is related to the speed it can attain on the function of its weight.

However, regardless of all other factors, the speed of animal is determined by how far an animal moves in a given amount of time.

So therefore, it may seem intuitive that animals with longer limbs or fins will travel far and fast

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Answer:

6.72 m/s

Explanation:

recall that the equations of motion may be expressed as

v² = u² + 2as

where,

v = final velocity,

u = initial velocity = 0 m/s because it is stationary before it starts falling

a = acceleration (in this case because it is falling, it is the acceleration due to gravity = 9.81 m/s²)

s = distance traveled = 2.3m

in our case, if we neglect air resistance, then we simply substitute the known values above into the equation of motion.

v² = u² + 2as

v² = 0² + 2(9.81)(2.3)

v² = 45.126

v = √45.126

v = 6.72 m/s

If a source emits sound at a fixed constant frequency f, and it moves away from the observer at the same time as the observer moves away from the source, the frequency the observer hears is lower than f. Hence option lower than f. is correct.

This is due to the Doppler effect. What is the Doppler effect? The Doppler effect is a phenomenon that occurs when a source of waves, such as sound or light, is moving relative to an observer. The Doppler effect causes the observed frequency of the waves to differ from the emitted frequency when the source and observer are moving relative to each other. This change in frequency is due to the compression or stretching of the waves that occurs as the source moves closer or farther away from the observer.

If a source of sound is moving away from an observer, the sound waves become stretched and the frequency of the sound decreases, resulting in a lower pitch. If the source of sound is moving towards the observer, the sound waves become compressed, causing the frequency of the sound to increase, resulting in a higher pitch. This is the reason why an ambulance siren sounds higher-pitched as it approaches the listener and then drops to a lower pitch as it moves away.

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Answer:

60m/s

Explanation:

Whenever two objects are moving in opposite direction the relative speed is obtained by adding the speeds of the two objects.

Here the two vehicles are moving with speed 20m/s and 40m/s .

So the relative speed of the car relative to that of the truck will be,

(40 + 20 ) m/s

60m/s

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If a baseball has a negative velocity and a negative acceleration, its speed is decreasing.

Velocity is a vector quantity that includes both magnitude (speed) and direction. In this case, the negative velocity indicates that the baseball is moving in the opposite direction of a chosen positive reference direction. Acceleration, on the other hand, represents the rate of change of velocity and also includes both magnitude and direction.

When the velocity and acceleration have the same sign (both negative in this case), it means that the baseball is slowing down. This is because the acceleration is acting in the opposite direction to the velocity, which results in a decrease in speed. Therefore, the speed of the baseball is decreasing.

Answer:

The frequency of the wave is 5 Hz (Hertz), which means it oscillates or cycles 5 times in one second.

Explanation:

The frequency of a wave is the number of times the wave oscillates or cycles in a given period of time. The period of a wave is the time it takes for the wave to complete one cycle.

The period of the wave is given as 0.2 seconds. To calculate the frequency, we can use the formula:

Frequency (f) = 1 / period (T)

So in this case:

f = 1 / 0.2 seconds

The frequency of the wave is 5 Hz (Hertz), which means it oscillates or cycles 5 times in one second.

Formula for frequency:

\(f=\dfrac{1}{T}\)

frequency(measured in Hertz) = 1 / period(measured in seconds)

__________________________________________________________

Given:

\(T=0.2s\)

\(f=?\)

__________________________________________________________

Finding frequency:

\(f=\dfrac{1}{T}\)

\(f=\dfrac{1}{0.2}\)

__________________________________________________________

Answer:

\(\fbox{f = 5 Hertz}\)

Explanation:

a brain injury, a concussion, spinal cord injury, and a repetitive strain injury

Each photon has an energy of 730 MeV in the center-of-momentum reference frame. When a proton and an antiproton collide, they can annihilate each other, producing two photons.

The energy of each photon can be determined using the conservation of energy and momentum. In the center-of-momentum reference frame, the total momentum of the system is zero before and after the collision, and the total energy is conserved. First, let's calculate the initial energy of each particle. Since they both have an initial kinetic energy of 730 MeV, their total energy is 2 x 730 MeV = 1460 MeV.

In the center-of-momentum reference frame, this energy is shared equally between the proton and antiproton. When they collide, they annihilate each other and produce two photons. Since the momentum of the system is zero, the two photons must have equal and opposite momenta, and their energies must be equal. Let's call the energy of each photon "E". Using the conservation of energy and momentum, we can write: 2 x 730 MeV = 2E Solving for E, we get: E = 730 MeV.

Therefore, each photon has an energy of 730 MeV in the center-of-momentum reference frame. This is the maximum energy that can be produced in this type of annihilation, since all of the initial energy is converted into the energy of the two photons.

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In the center-of-momentum reference frame, the energy of each photon produced by the annihilation of a proton and an antiproton, each with an initial kinetic energy of 730 MeV, is 730 MeV.

In the center-of-momentum reference frame, the total initial kinetic energy of the system is equal to the total energy after annihilation. Since the momentum of the system is conserved, the net momentum before and after the collision is zero. Therefore, the momenta of the two particles cancel each other out. As a result, the two photons produced will have equal energy and travel in opposite directions.

To find the energy of each photon, we can start by calculating the total initial kinetic energy:

The total energy after annihilation is equal to the initial kinetic energy. Since there are two photons, each photon will have half the total energy:

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