A body moves in circle with increasing angular velocity at time t = 6sec the angular velocity is 27 rad/s what is the radius of circle made by the body where linear velocity is 81 cm/s?

The distance the wagons travel until the spring is fully compressed is 2 × xmax = 3.42 m. To solve this problem, we need to apply the principle of conservation of momentum and conservation of energy.

Initially, the momentum of the system is given by:

p1 = (15 kg + 5 kg) × 3.75 m/s = 75 kg m/s

After the collision, the two wagons stick together and move as one unit, with a combined mass of 30 kg. Let v be the common velocity of the two wagons after the collision. Then, the momentum of the system is given by:

p2 = 30 kg × v

According to the principle of conservation of momentum, p1 = p2. Therefore, we have:

75 kg m/s = 30 kg × v

which gives:

v = 2.5 m/s

Now, let's consider the energy of the system. Initially, the kinetic energy of the system is given by:

K1 = (1/2) × (15 kg + 5 kg) × (3.75 m/s)² = 421.875 J

After the collision, the energy of the system is stored in the compressed spring. The potential energy of a spring is given by:

U = (1/2) × k × x²

where k is the spring constant and x is the displacement of the spring from its equilibrium position. At maximum compression, the displacement is xmax, and the potential energy is:

Umax = (1/2) × 250 N/m × xmax²

According to the principle of conservation of energy, the initial kinetic energy of the system is converted to potential energy of the spring at maximum compression. Therefore, we have:

K1 = Umax

which gives:

xmax = sqrt(2 × K1 / k) = 1.71 m

Therefore, the distance the wagons travel until the spring is fully compressed is 2 × xmax = 3.42 m.

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When the 25 kg air compressor is dragged up a rough incline, work is done against gravity. Work is defined as the product of force and displacement, and in this case, the force is the weight of the compressor, which can be calculated using the formula:

weight = mass * acceleration due to gravity.

Given that the mass of the compressor is 25 kg, and the acceleration due to gravity is approximately 9.8 \(m/s^2\), we can calculate the weight as follows: weight = 25 kg * 9.8 \(m/s^2\)= 245 N.

The work done against gravity is equal to the weight multiplied by the displacement. The displacement in this case is the distance the compressor is dragged up the incline. Let's assume the displacement is 5 meters. Therefore, the work done against gravity can be calculated as follows: work = force * displacement = 245 N * 5 m = 1225 J.

So, during the displacement, more than 100 joules of work is done against gravity on the compressor.

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Answer:

Try lookin those questions up on Brainly

Explanation:

Support and protect the body is NOT a function of the digestive system

Your body's skeletal structure serves as a support system. It gives the body its structure, permits mobility, produces blood cells, offers organs protection, and stores minerals. A different name for the skeletal system is the musculoskeletal system.

The digestive system consists of organs that are crucial for breaking down both food and water. These include the anus, pharynx (throat), stomach, small and large intestines, rectum, and oesophagus.

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The net force between Superman and Spiderman is 3 N, and it acts in the direction of Superman's force.

As per the question, the force exerted by :

Superman against Spiderman = 28 N

Spiderman against Superman = 25 N,

We can determine the net force and its direction by considering the following:

To find the net force, we need to subtract the forces exerted in opposite directions. Since Superman and Spiderman are pulling against each other, we have:

Net force = Force exerted by Superman - Force exerted by Spiderman

Net force = 28 N - 25 N

Net force = 3 N

The net force between Superman and Spiderman is 3 N.

To determine the direction of the net force, we need to consider the signs of the forces. Since Superman's force is greater than Spiderman's force, the net force will be in the direction of Superman's force.

Thus, the net force of 3 N is in the direction of Superman's force.

Therefore, the net force between Superman and Spiderman is 3 N, and it acts in the direction of Superman's force.

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Answer:

43.3 m/s.

Explanation:

Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:

Total energy = Potential energy + Kinetic energy

Kinetic energy = Total energy - Potential energy

Kinetic energy = 300 J - 40 J = 260 J

However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:

Potential energy = mgh

40 J = m(9.81 m/s^2)(300 m)

m = 0.137 kg

Now we can use the kinetic energy to find the velocity:

Kinetic energy = (1/2)mv^2

260 J = (1/2)(0.137 kg)v^2

v^2 = (2*260 J) / 0.137 kg

v = 43.3 m/s (rounded to one decimal place)

Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.

Answer:

The product choices along with its competitive prices were provided to the consumers. Practices such as horizontal collusion and resale price maintenance was declared unlawful in 1984. Prevention of monopoly growth was the aim of the competition policy act.

Explanation:

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The energy of the alpha particle emitted by 241Am is 5.486 MeV.

In agronomy, neutron probes are employed to assess the moisture content of soil. This is achieved through the utilization of a pellet containing 241Am, which emits alpha particles.

These neutrons move out into the soil where they are reflected back into the probe by the hydrogen nuclei in water. The neutron count is thus indicative of the moisture content near the probe.The alpha decay of 241Am is given by: \($$\ce{^{241}_{95}Am -> ^{237}_{93}Np + ^4_2He}$$\)

We know that a beryllium disk is irradiated by the alpha particles to generate neutrons. The Be-9 (alpha, n) Ne-12 reaction gives neutrons of approximately 2.4 MeV energy. The neutrons collide with hydrogen nuclei, releasing around 0.0253 eV of energy per atom.

Therefore, the reflected neutrons have lost some of their initial energy, with the remaining energy being lost to ionization and to the recoil of the hydrogen nucleus. Thus, the energy of the alpha particle emitted by 241Am is 5.486 MeV.

Neutrons are subatomic particles found in atomic nuclei with no electric charge but a mass of slightly larger than protons. They are a subatomic particle in atomic nuclei with no electrical charge but a mass slightly larger than that of protons.

A neutron's mass is about 1.675 x 10⁻²⁷ kg. They contribute to the stability of the atomic nucleus, which houses the protons, positively charged subatomic particles that repel each other.

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Answer:

12.6 s

Explanation:

y =  1/2 at^2

780.1 =  1/2 ( 9.81) t^2           answer can only have 3 s.d. due to the 9.81

t = 12.6 s

Express the first vector as the sum of the second vector's scalar multiples to represent a vector as a linear combination of another vector.

Finding scalar coefficients that, when multiplied by the components of the other vector, will add up to the components of the original vector is necessary to represent a vector as a linear combination of another vector. For instance, if you have a vector (a, b) and another vector (c, d), you may find scalars x and y such that x(c, d) + y(a, b) = in order to represent the original vector as a linear combination of the second vector (a,b). You obtain x = (ad-bc)/(cd-bd) and y = (ac-bd)/ after solving for x and y. (cd-bd). The linear combination of the two vectors is then obtained by filling in the values of x and y.

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The mass of the 25-meter rope is 2.0 kg.

To solve this problem, we can use formula for the speed of a transverse wave on a string, which is:

v = sqrt(T/μ)

We are given that v = 50 m/s, T = 200 N, and the length of the rope is 25 meters.

μ = T/v^2

Substituting the given values, we get:

μ = 200 N / (50 m/s)^2

= 0.08 kg/m

This means that the rope has a mass of 0.08 kg per meter of length. To find  total mass of the 25-meter rope, we can multiply the linear mass density by the length of rope:

m = μ L

= 0.08 kg/m * 25 m

= 2.0 kg

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The rock is in the air for approximately 4.08 seconds from the instant it is released until it hits the bottom of the hole.

To determine the time the rock is in the air, we can use the kinematic equation for the vertical motion:

h = ut + (1/2)gt²,

where h is the height, u is the initial velocity, g is the acceleration due to gravity, and t is the time.

The rock is thrown straight up with a speed of 20 m/s, so its initial velocity (u) is 20 m/s, and the acceleration due to gravity (g) is approximately 9.8 m/s² (assuming no significant air resistance).

First, let's calculate the time it takes for the rock to reach its maximum height. At the highest point, the rock's velocity will be zero. Using the equation v = u + gt, we have:

0 = 20 - 9.8t₁,

t₁ = 20 / 9.8 ≈ 2.04 seconds.

Since the rock takes the same amount of time to reach its maximum height and fall back down, the total time in the air is:

t_total = 2 × t₁ = 2 × 2.04 ≈ 4.08 seconds.

Therefore, the rock is in the air for approximately 4.08 seconds from the instant it is released until it hits the bottom of the hole.

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The difference in the heights of the two liquid surfaces is 5.137cm.

Lets assume that a simple U-tube that is open at both ends is partially filled by heavy liquid of density 1000 kg/m³  and  liquid of density 533kg/m³ is then poured into one arm of the tube, resulting or expanding a column 11 cm.

Equations that can resolve the height difference using the densities is given as below:-

\(P + (l-h)\alpha g= P+l\beta g\\\\h=l (1- \beta /\alpha )\)

Now substituting l= 11 cm , α=1000kg/m³ and β= 533kg/m³

h= 11(1-533/1000)

h=5.137cm

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If ocean water did not move, it would be hot in the equatorial region and frigid in the polar regions.

Ocean currents are responsible for redistributing heat around the planet. Without these currents, the equatorial region would receive more sunlight and heat than it loses, resulting in an accumulation of heat in the water. On the other hand, the polar regions would lose more heat than they receive, resulting in frigid temperatures.

The rotation of the Earth also influences the movement of ocean water through the Coriolis effect. Without this effect, ocean currents would be less predictable, and their impact on climate and temperature distribution would be more severe. Therefore, ocean currents play a crucial role in regulating Earth's climate, and their disruption could have significant consequences for both marine life and global weather patterns.

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The limiting angle of resolution for the eye is 183 x 10^(-12) radians.

The limiting angle of resolution for the eye can be calculated using the formula:

θ = 1.22 * (λ / D)

where θ is the limiting angle of resolution, λ is the wavelength of light, and D is the diameter of the pupil.

Given:

λ = 600 nm = 600 x 10^(-9) m

D = 4.0 mm = 4.0 x 10^(-3) m

Substituting these values into the formula:

θ = 1.22 * (600 x 10^(-9) m) / (4.0 x 10^(-3) m)

  = 1.22 * (600 / 4.0) x 10^(-9 - 3) m

  = 1.22 * 150 x 10^(-12) m

  = 183 x 10^(-12) m

Therefore, the limiting angle of resolution for the eye is 183 x 10^(-12) radians.

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In the DSM-5, each of the following has been assigned as an obsessive-compulsive-related disorder EXCEPT impulse-control disorder.

The Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition (DSM-5) includes a section on obsessive-compulsive and related disorders. The section contains eight different disorders, each with its own criteria.

In the DSM-5, each of the following has been assigned as an obsessive-compulsive-related disorder except for the impulse-control disorder.

Impulse-control disorder is not listed as an obsessive-compulsive-related disorder in DSM-5, and it is a separate condition. The DSM-5 classified Impulse-Control Disorder as an impulse-control disorder and not as an obsessive-compulsive-related disorder. It is an impulse control disorder characterized by an inability to resist the impulse, drive, or temptation to perform an act that is dangerous to oneself or others.In the DSM-5, the following are obsessive-compulsive-related disorders:

Obsessive-Compulsive Disorder (OCD)

Body Dysmorphic Disorder (BDD)

Trichotillomania (Hair-Pulling Disorder)

Excoriation (Skin-Picking) Disorder

Hoarding Disorder

Substance/Medication-Induced Obsessive-Compulsive

The DSM-5 is the fifth edition of the Diagnostic and Statistical Manual of Mental Disorders. It is a manual used by mental health professionals to diagnose mental illnesses. In DSM-5, each of the following has been assigned as an obsessive-compulsive-related disorder except impulse-control disorder. The DSM-5 classified impulse control disorder as an impulse control disorder and not as an obsessive-compulsive-related disorder.

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The speed of the bat emitting sound at a frequency of 30.0 kHz is closest to 10.0 m/s.

Based on the given information, we can find the speed of the bat using the formula:

Speed of sound = Frequency x Wavelength

Since the frequency of the sound emitted by the bat is 30.0 kHz (30,000 Hz) and the frequency of the echo is 900 Hz higher, the frequency of the echo is 30,000 Hz + 900 Hz = 30,900 Hz.

We can calculate the wavelength of the emitted sound using the formula:

Wavelength = Speed of sound / Frequency

Using the given speed of sound in air, which is 340 m/s, and the frequency of the emitted sound, we get:

Wavelength = 340 m/s / 30,000 Hz = 0.0113 meters

Since the frequency of the echo is higher, it means that the bat is moving towards the wall. In this case, the Doppler effect causes the frequency to increase.

The Doppler effect formula is:

Change in frequency / Frequency = Speed of observer / Speed of sound

We know the change in frequency is 900 Hz, the frequency is 30,000 Hz, and the speed of sound is 340 m/s.

900 Hz / 30,000 Hz = Speed of observer / 340 m/s

Speed of observer = (900 Hz / 30,000 Hz) x 340 m/s = 10.2 m/s

Therefore, the speed of the bat is closest to 10.0 m/s.

The question should be:

The bat emits sound at a frequency of 30.0 kHz as it moves closer to a wall. The bat detects beats where the frequency of the echo is 900 Hz greater than the emitted frequency. The speed of sound in air is 340 meters per second.The speed of the bat is closest to Group of answer choices 10.0 m/s 30.0 m/s 0 20.0 m/s 530 m/s. 5.02 m/s

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A prism is able to spread white light out into a spectrum of colors based on the property of refraction.

Refraction is the bending of light as it passes from one medium to another with a different refractive index, such as from air to glass or vice versa. The refractive index is a measure of how much light bends when it travels through a medium.

When white light enters a prism, it is made up of a combination of different colors with different wavelengths. As the light passes through the prism, it encounters the boundaries between the air and the prism material, causing the light to slow down and change direction. The amount of bending or refraction that occurs depends on the wavelength of each color in the light.

Different colors of light have different wavelengths, and thus, they refract at slightly different angles when passing through the prism. This causes the colors to spread out and separate, forming a spectrum of colors. This phenomenon is known as dispersion.

The shorter wavelengths, corresponding to colors like violet and blue, refract more than the longer wavelengths, corresponding to colors like red and orange. As a result, when white light passes through a prism, it separates into a continuous band of colors ranging from violet to red, with all the other colors of the rainbow in between.

This phenomenon can be observed in everyday life, such as when sunlight passes through raindrops and creates a rainbow or when white light passes through a glass prism in a physics experiment. Understanding the property of refraction helps explain how prisms can spread white light into its constituent colors, allowing us to perceive the beautiful and vibrant spectrum of colors around us.

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In the new orbit, the new perihelion will be closer to the sun and the aphelion will be unchanged.

In an orbiting celestial body, the point of the orbit where it is closest to the sun is called as Perihelion. In an orbiting celestial body, the point of the orbit where it is farthest to the sun is called as Aphelion.

Therefore when a spacecraft is orbiting the sun, and makes a maneuver to slow down at aphelion. then, in the new orbit the new perihelion will be closer to the sun and the aphelion will be unchanged.

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Answer:

B because thats the answer

Answer:

Glass is an optically denser medium than air and water.

Explanation:

hope it helps have a nice night!

Answer:

The speed of light depends on the optical density of the medium. Therefore, light travels with different speeds in different media having different optical densities. For example, the speed of light in air is 3 × 108 m/s, whereas that in glass is 2 × 108 m/s and in water, it is 2.25 × 108 m/s

a) The fundamental frequency is 382.2 Hz.

b) The frequency of the first overtone is f2 = 3f1.

c) The frequency of the second overtone is f3 = 5f1.

d) The frequency of the third overtone is 2675.4 Hz.

e) The highest harmonic that may be heard is the 52nd overtone.

The fundamental frequency of a pipe open at both ends is given by:

f1 = v / (2L)

where v is the speed of sound and L is the length of the pipe. Substituting the given values, we get:

f1 = 344 m/s / (2 × 0.45 m) = 382.2 Hz

a) The fundamental frequency is 382.2 Hz.

The frequency of the first overtone is given by:

f2 = 3f1

b) Substituting the value of f1, we get:

f2 = 3 × 382.2 Hz = 1146.6 Hz

The frequency of the second overtone is given by:

f3 = 5f1

c) Substituting the value of f1, we get:

f3 = 5 × 382.2 Hz = 1911 Hz

The frequency of the third overtone is given by:

f4 = 7f1

d) Substituting the value of f1, we get:

f4 = 7 × 382.2 Hz = 2675.4 Hz

The highest harmonic that may be heard by a person who can hear frequencies from 20 Hz to 20000 Hz is given by:

n = (fmax / f1)

where fmax is the maximum frequency that can be heard (i.e., 20000 Hz).

e) Substituting the values, we get:

n = 20000 Hz / 382.2 Hz = 52.3

Therefore, the highest harmonic that may be heard is the 52nd overtone. However, it is important to note that in practice, the higher harmonics may not be audible or may be perceived as a combination of lower frequency sounds due to the limited sensitivity of the human ear.

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Answer: c. and a

Explanation:

Answer: 30 inches

Explanation: 12x2.5=30

Answer:

Explanation:

1 feet = 12 inch

2.5 feet = 2.5 × 12

= 30 inch

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Answer:

The answer to this question is given below in this explanation section.

Explanation:

"electromagnetic spectrum depends on wavelength and frequency"

When electromagnetic radiation interacts with single atoms and molecule,its behavior also depends on the amount of energy per quantum(photon)it carries wave number =1/wavelength in cm speed of light=wavelength x frequency energy = Planck's constant x frequency.

Electromagnetic radiation interacts with matter in different parts of the spectrum.

Electromagnetic radiation interacts with matter in different ways in different parts of the spectrum.The types of interaction can be so different that it seems justified to refer to different types of radiation.There is a continuum containing all these different kind of electromagnetic radiation.Thus we refer to spectrum but divide it up based on the different interaction with matter.

Answer:

Energy increases with decreasing wavelength and increasing frequency.

Explanation:

Answer:

what do u need help with

Explanation:

Calculate the escape velocity for the spacecraft. [G= 6.67×10^-11Nm^2kg^-2, mass of the Earth= 5.97×10^24kg, radius of the Earth= ...