A playground merry-go-round has radius 2.70 m and moment of inertia 3000 kg/m^2 about a vertical axle through its center, and it turns with negligible friction. PART A : A child applies an 20.0 N force tangentially to the edge of the merry-go-round for 25.0 s . If the merry-go-round is initially at rest, what is its angular speed after this 25.0 s interval? w= PART B : How much work did the child do on the merry-go-round? W= PART C : What is the average power supplied by the child? P=

Answers

Answer 1

PART A: A child applies a 20.0 N force tangentially to the edge of the merry-go-round for 25.0 s. If the merry-go-round is initially at rest,

what is its angular speed after this 25.0 s interval?

w=Angular acceleration is given by the formulaα = τ / Iwhereα is the angular accelerationτ is the torque and is the moment of inertia of the objectThe torque is given byτ = F × where is the force and is the radius of the object. Now, we can use the formulas:α = τ / Iω = α × twhereω is the final angular velocity is the time taken part B: How much work did the child do on the merry-go-round? The work done by the child will be equal to the change in the kinetic energy of the system. It is given by: W = Kf - Ki Where, W is the work done is the final kinetic energy and Ki is the initial kinetic energy. PART C:

What is the average power supplied by the child?

P=Power is the rate at which work is done. It is given by the formula: P = W / where is the work done and t is the time takenSubstitute the values to get the answer. PART AThe moment of inertia, I = 3000 kg/m2The radius, r = 2.70 mThe force applied, F = 20.0 NTime, t = 25.0 sTorque,τ = F × r= 20.0 N × 2.70 m= 54 NmA angular acceleration,α = τ / I= 54 Nm / 3000 kg/m2= 0.018 rad/s2Final angular velocity,ω = α × t= 0.018 rad/s2 × 25.0 s= 0.45 rad/sinus, the angular speed after 25.0 s interval is 0.45 rad/s.PART BInitial velocity, Ui = 0Final velocity, Uf =?Mass of child and merry-go-round, M =?We have the final angular velocity,ω = 0.45 rad/We can use the formula, U = R × ωwhere R is the radius of the merry-go-round. U = 2.70 m × 0.45 rad/s= 1.215 m/kinetic energy of the system, Kf = (1/2) × M × Uf2Initial kinetic energy, Ki = (1/2) × M × Ui2Since it is initially at rest, Ui = 0.Kf = (1/2) × M × Uf2Thus,W = Kf - Ki= (1/2) × M × Uf2Substitute the values to get the answer.PART CWe has the work done, W =?Time, t = 25.0 sSubstitute the values to get the answer. P = W / t=? / 25.0 s=?Thus, the average power supplied by the child is? W.

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Related Questions

Which of these chemical formulas is balanced?

Which of these chemical formulas is balanced?

Answers

The balanced formula is B.

The answer to the question is b

What is conduction in energy transfer?

Answers

Conduction is the transfer of heat energy between two objects or substances that are in contact with each other, due to a temperature difference between them.

Conduction is the transfer of heat or electrical energy through a material or substance, without any visible movement of the substance itself. It occurs in solids, liquids, and gases, but is most efficient in solids, where the molecules are tightly packed and can easily transfer energy from one to the other. In conductive materials, heat or electrical energy is transferred by the flow of electrons, atoms, or molecules from a region of higher energy to a region of lower energy.

The rate of conduction depends on several factors, including the temperature difference between the two regions, the physical properties of the material, and the distance between the two regions. Conduction is an important process in everyday life, and understanding its principles is crucial in many fields, including engineering, physics, and materials science.

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During a tornado in 2008 the Peachtree Plaza Westin Hotel in downtown Atlanta suffered damage. Suppose a piece of glass dropped near the top of the hotel falling 215 meters . A .Ignoring air resistance, how long would it take the piece of glass to hit the ground? B. Ignoring air resistance, what will the velocity of the piece of glass be when it strikes the ground?

Answers

Answer:

6.62 seconds

Explanation:

During a tornado in 2008 the Peachtree Plaza Westin Hotel in downtown Atlanta suffered damage. Suppose

A metal in group 17 of the periodic table can become a chemically stable ion by A. losing one electron. B. gaining one electron. C. gaining two electrons. D. losing two electrons.

Answers

Answer:

A. losing one electron

Hope this helps :)

Answer:

The correct answer is "Gaining one electron".

Explanation:

I just solved this question.

What type of metal are conducting wires most often made of?

#16

What type of metal are conducting wires most often made of?#16

Answers

Answer:

here

Explanation:

Copper is commonly used as an effective conductor in household appliances and in electrical equipment in general. Because of its low cost, most wires are copper-plated. You will often find electromagnet cores normally wrapped with copper wire

A motorist travels 130 km in 2 hours.

Answers

The motorist is traveling at 65 miles per hour

The wavelength of green light is about 500 nanometers. what is this length in meters?

Answers

By conversion unit, the length in meters of green light wavelength is 5 x 10¯⁷ m.

We need to know about a conversion unit to solve this problem. Meter is the SI unit for length but there are other units which able to determine the length such as nanometer. The conversion unit of nanometer to meter is

1 nm = 10¯⁹ m

From the question above, we know that the wavelength of green is 500 nanometers. in a meter, we can write as

500 nm = 500 x 10¯⁹ m

500 nm = 5 x 10¯⁷ m

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PLEASE HELP!!!!
What is the velocity of the object at the
following times? Be sure to include direction.
(a) t=1.0s
(b) t=40s
(c) t=
6.0 s

Answers

Relation between velocity and time

\(\\ \sf\Rrightarrow Velocity=\dfrac{Displacement}{Time}\)

Or

\(\\ \sf\Rrightarrow \vec{v}=\dfrac{dx}{dt}\)

Now

\(\\ \sf\Rrightarrow v\propto \dfrac{1}{t}\)


In order to find the resultant of two vectors we must use the pythagoran therom, a +b2-2. Where the crepresents the resultant vector

Answers

Answer:

Furthermore, the Pythagorean theorem works when the two added vectors are at right angles to one another - such as for adding a north vector and an east vector.

The tree branch in the preceding problem sags, and the child's feet rest on the ground. If the tension in the rope is reduced to 220 N, what is the value of the normal force being exerted on the child's feet?

Answers

The complete question is

A 45-kg child sits on a 3.2-kg tire swing. The tension on the rope is 470 N. The tree branch sags and the child's feet rest on the ground. If the tension in the rope is reduced to 220 N, what is the value of the normal force being exerted on the child's feet?

Answer:

Therefore the Normal force is being exerted on the child's feet is 252.36( 250N).

Explanation:

We are given

mass of child = 45kg

mass of the tire = 3.2kg

g = 9.8 m/s^2

We have the first case in which the tire is in swing so tension in that case will be which is the resultant force.

Fr = Resultant force

Ft =  Tension force

Fg= Gravitational force

Fr = Fg + Ft

0 = -mg + Ft

Ft = mg

   = (45+3.2)*9.8

   = 48.2 * 9.8

Ft = 472.36N  ( which is close to 470)

In the second case the child is in the rest position, The resultant force will be zero.

Fr = Ft + Fn + Fg  ( Normal force is denoted by Fn )

0 = Ft + Fn + Fg

Fn =  -Fg -Ft

Fn = mg -Ft

    = 472.36 - 220

Fn  = 252.36N  ( close to 250N)

Therefore the Normal force being exerted on the child's feet will be 252.36N.  

1. Hydroelectric ____________ come from the energy of fallen water.
2. Using fossil fuels is the main reason of global ___________
3. Turning off the lights, TV and computer when we aren't using them is a way to _________, or save energy.
4. Energy efficient light bulbs use ___________ energy than normal light bulbs.
5. ________ is made from trees.
6. _______ energy comes from things besides fossil fuels.
7. You can ________ or bike to school instead of driving.
8. Most of the energy we use around the world comes from _______ ________.

Please answer these quickly. I'm tired.

Answers

Answer:

1.Power

2.warming

3.preserve

4.less

5.Paper

6.Fossil

7.ride cycle

8.Non renewable energy sources

Please check it once and reply

Gravity on Jupiter is 25 m/s/s, what is the weight of a 12 kg object on Jupiter?

Answers

Answer:

300 Newtons

Explanation:

Weight is the force of attraction between two bodies, one usually larger (like a planet), and one smaller (like a person). Force can be calculated using the formula: Force = mass × acceleration.

The mass here is 12kg, the acceleration, which in this case, is the acceleration due to gravity is 25m/s/s, by plugging in our values, we have

Force = 12 × 25 = 300 Newtons or 300 N for short.

Which has greater value, a Newton of gold won on Earth or a Newton of gold won on the Moon?
a. The value is the same, regardless.
b. The Newton of gold on the Earth.
c. The Newton of gold on the Moon.

Answers

The correct option is B because It is obvious that gold has a higher monetary worth on the surface of the moon than it does on Earth.

Did calculus exist before Newton?

Despite their brilliance, neither Newton nor Leibniz could create or discover calculus. The corpus of mathematics known as calculus evolved through many centuries in many different regions of the world, including greek Culture, the Middle East, India, Chinese, and Japan in addition to western Europe.

What made Newton famous?

The theory of widespread gravity was developed by Isaac Newton (1642–1727), who is best known for credited with creating the calculus in the mid- to late 1660s (more than a decade because once Leibniz did so independently and ultimately more significantly). The latter was done in his Principia, which is considered to be his most significant work.

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In the context Nepal, hydropower should be given more priority rather than fossil fuel. Why? Justify with two reasons.​

Answers

Prioritizing hydropower in Nepal can lead to increased energy security and a more sustainable future for the country.

Nepal, hydropower should be given more priority than fossil fuels for two main reasons:
1. Abundant Water Resources: Nepal is endowed with numerous rivers and streams, which makes it an ideal location for hydropower generation. Tapping into these water resources to produce electricity can greatly contribute to the country's energy needs, while reducing its dependence on imported fossil fuels.
2. Environmental Sustainability: Hydropower is a renewable and clean energy source, unlike fossil fuels, which emit harmful greenhouse gases when burned. By prioritizing hydropower, Nepal can reduce its carbon footprint and mitigate the impacts of climate change, while also preserving its natural resources for future generations.
In summary, prioritizing hydropower in Nepal can lead to increased energy security and a more sustainable future for the country.

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consequences and application of heat​

Answers

Answer:

Prolonged exposure to extreme heat can cause heat exhaustion, heat cramps, heat stroke, and death, as well as exacerbate preexisting chronic conditions, such as various respiratory, cerebral, and cardiovascular diseases.

compare and contract absorption spectrum vs. emission spectrum and why they are utilized by astronomers.

Answers

Absorption and emission spectra are both important tools used by astronomers to study the properties of light emitted by stars and other celestial objects. The absorption spectrum is a graph or chart that shows the wavelengths of light that are absorbed by a substance, while the emission spectrum shows the wavelengths of light that are emitted by a substance.


The absorption spectrum is created by passing a beam of white light through a sample of gas or other substance. The sample will absorb certain wavelengths of light, leaving dark bands or lines on the spectrum. These bands correspond to specific elements or compounds present in the sample, and can be used to identify the chemical composition of stars and other celestial objects.

In contrast, the emission spectrum is created by exciting a sample of gas or other substance with energy, such as an electric current or a high-energy laser. The excited atoms or molecules will emit light at specific wavelengths, producing bright bands or lines on the spectrum. These bands can also be used to identify the chemical composition of stars and other celestial objects.


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How do you calculate the potential energy by it's height and weight? and is there any other way to solve it?​

Answers

Answer:

PE = mgh

Explanation:

m is mass, g is gravitational constant (9.81) and h is height

Why are the scientists so confident that they have succeeded in making a detection?

Answers

Scientists are confident that they have succeeded in making a detection when they have observed a signal that is consistent with the predicted characteristics of the phenomenon they are trying to observe.

When this signal is statistically significant, meaning that it is unlikely to have occurred by chance. For example, in the case of gravitational wave detection, scientists use highly sensitive detectors, such as the Laser Interferometer Gravitational-Wave Observatory (LIGO) to measure minuscule distortions in space-time caused by passing gravitational waves.

When the data from the detectors is analyzed, scientists look for signals that match the predicted waveform of a gravitational wave. They also use statistical methods to determine the probability that the observed signal is not just random noise.

If the observed signal matches the predicted waveform and has a low probability of occurring by chance, scientists can be confident that they have made a detection. However, it is important to note that these detections are often very difficult to make and require a high level of precision and accuracy in both the instruments and the analysis techniques used.

Therefore, scientists also subject their findings to rigorous peer review and validation by independent researchers to confirm the validity of their results.

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A 33 kg box sits at rest on a tabletop.
Draw and clearly label all the forces acting on the box;
Calculate the normal force.

Answers

Answer:

323.4N

Explanation:

Given parameters:

Mass of the box = 33kg

Unknown:

Normal force on the body  = ?

Solution:

The normal force of a body is the vertical force the body exerts on another body.

It is expressed as;

        Normal force  = mass x acceleration due to gravity

Acceleration due to gravity  = 9.8m/s²

Normal force  = 33 x 9.8  = 323.4N

an object weighs 150N on earth. what is the mass of the object?

Answers

Answer:

450 g =0.9921 lb

Explanation:

A truck with a mass of 2.00 × 103 kilograms is traveling at +19.0 meters/second along a road. It hits a stationary sedan with a mass 9.90 × 102 kilograms. If the truck and the sedan stick together after the collision, what is the final velocity of the two together?

Answers

Answer:

This one's easy

The final velocity of the truck and the sedan together is +7.19 m/s. This can be calculated using the law of conservation of momentum: m1v1 + m2v2 = (m1+m2)vf, where m1 and m2 are the masses of the truck and the sedan respectively, v1 is the velocity of the truck, v2 is the velocity of the sedan (which is 0 in this case) and vf is the final velocity of the truck and the sedan together.

A block of mass m = 3.7 kg slides from left to right across a frictionless surface withra speed v; - 7.4 m/s. It collides in a perfectly elastic collision with a second block of
mass M that is at rest. After the collision, the 3.7-kg block reverses direction, and its new speed is vf 2.2 m/s. What is M?

8.9 kg
6.8 kg
5.2 kg
7.5 kg

Answers

Answer:

5.2 kg

Explanation:

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Approximately what percent of the sunlight striking the earth is actually captured by the biosphere on any given day?

Answers

Approximately 47% of the sunlight striking the Earth is actually captured by the biosphere on any given day.

1. When sunlight reaches the Earth, it is absorbed by various components of the biosphere, such as plants, trees, and algae.
2. These organisms use sunlight for photosynthesis, converting it into chemical energy.
3. Studies estimate that around 47% of the total sunlight is captured and utilized by the biosphere for various biological processes.

On any given day, sunlight strikes the Earth, providing energy for various life processes. When sunlight reaches the biosphere, which includes plants, trees, and other photosynthetic organisms, it is absorbed and utilized through the process of photosynthesis. During photosynthesis, sunlight is converted into chemical energy, which is then stored in the form of glucose and used by the organisms for growth, reproduction, and other metabolic activities.

Although the exact percentage may vary depending on factors such as geographical location and time of year, studies estimate that approximately 47% of the sunlight that reaches the Earth is captured and utilized by the biosphere. This means that almost half of the sunlight energy is harnessed by living organisms, highlighting the crucial role of the biosphere in capturing and utilizing solar energy for the sustenance of life on Earth.

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The distance from one crest to the next is the ________.

Answers

Answer:

Wavelength.

Explanation:

1 period, or wavelength, is measured from one crest to another or from one trough to another.

In class, we estimated the radiative balance at the top of the earth's atmosphere. Here, we will estimate that for Mars. i. The average radius of the orbit of Mars is about 2.28×10 11
m. Estimate the intensity of solar radiation at Mars' orbit (you can make use of the results from the lecture notes for this part). What is the average downward solar flux at the top of the Martian atmosphere (for this part, remember solar radiation strikes a disk at Mars' orbit, but has to be distributed over a sphere on the surface of Mars)? ii. The albedo of Mars is about 0.25. Estimate the average reflected shortwave flux. iii. What is the required average upward longwave flux to balance the net downward shortwave flux? iv. Based on your answer from part iii, estimate the effective temperature of Mars as observed from space (hint: use the Stefan-Boltzmann Law).

Answers

i. The intensity of solar radiation at Mars' orbit can be estimated using the average radius of orbit and considering the distribution of solar radiation from a disk to a sphere on the surface of Mars.

ii. The average reflected shortwave flux can be estimated by considering the albedo of Mars, which is about 0.25.

iii. To balance the net downward shortwave flux, there must be an average upward longwave flux.

iv. Based on the answer from part iii, the effective temperature of Mars as observed from space can be estimated using the Stefan-Boltzmann Law.

i. The intensity of solar radiation at Mars' orbit can be estimated by considering the distance between Mars and the Sun, which is given as the average radius of the orbit of Mars (2.28×10^11 m). This distance affects the amount of solar radiation received by Mars. The average downward solar flux at the top of the Martian atmosphere can then be calculated by taking into account that solar radiation strikes a disk at Mars' orbit but needs to be distributed over a sphere on the surface of Mars.

ii. The albedo of Mars, which is about 0.25, represents the fraction of solar radiation that is reflected by the planet's surface. By considering this albedo value, we can estimate the average reflected shortwave flux, which is the amount of solar radiation that is reflected back into space by Mars.

iii. In order to balance the net downward shortwave flux, there needs to be an average upward longwave flux. The net downward shortwave flux represents the incoming solar radiation that reaches the surface of Mars, while the upward longwave flux represents the outgoing thermal radiation emitted by the planet. To maintain radiative balance, the upward longwave flux needs to match the net downward shortwave flux.

iv. Based on the answer from part iii, we can estimate the effective temperature of Mars as observed from space using the Stefan-Boltzmann Law. This law relates the temperature of an object to the amount of thermal radiation it emits. By equating the upward longwave flux to the net downward shortwave flux, we can solve for the effective temperature of Mars.

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Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.

Answers

If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)

How do i determine the new power?

The following data were obtained from the question:

Initial power (P₁) = PInitial voltage  (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?

P = V² / R

Resistance is constant, we have

V₁² / P₁ = V₂² / P₂

V² / P = (2V)² / P₂

V² / P = 4V² / P₂

Cross multiply

V² × P₂ = P × 4V²

Divide both side by V²

P₂ = P × 4V² / V²

P₂ = P × 4

From the above, we can conclude that the power will increase by a factor of 4 (option E)

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Benjamina started her walk from the front door of her ground-floor apartment. She walked 6 meters to the corner of the building and then turned the corner and walked 10 meters to her friend’s apartment. Identify the difference between the distance she walked and her displacement.

Answers

Answer:

The change in her position (from beginning to end), along with the direction, is considered her displacement.

Explanation:

Answer:

The change in her position ( from beginning to end), along with the direction, is considered her displacement. This value is a measurement and a direction. The total distance along the path from her starting point to her endpoint is considered her distance. This value is a measurement only.

Why are muscle and fat levels the only factors influencing flexibility impacted by personal decisions?
A.
Muscle and fat levels are mostly determined by heredity.
B.
Age, gender, and joint structure cannot be changed.
C.
Personal decisions have significant impacts on age and gender.
D.
Flexibility is not dependent upon muscle and fat levels.


Please select the best answer from the choices provided.

A
B
C
D

Answers

Answer:

B) Age, gender, and joint structure cannot be changed.

Explanation:

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what instrument is used to measure electromotive force​

Answers

Answer:

Voltmeter

Explanation:

Voltmeter is used to measure both terminal potential difference as well as electromotive force (e.m.f.) depending upon the connection state of the battery or cell.

A net force of 15 N is applied to a cart with a mass of 2.1 kg. What is the acceleration of the cart?

Answers

Force = mass * acceleration
15 = 2.1 * a
a = 15/2.1 = 7.143 m/s^2
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