A mass of 10kg suspended on a steel rod of length 2m and radius 1mm what is the elongation of the rod beyond it's original length (Take E = 200*10^9 Newton per metre square

Answers

Answer 1

The elongation of the rod beyond its original length would be 2.5 mm.

Elongation calculation

To elongation of the rod can be deduced using the formula:

ΔL = FL / AE

where:

ΔL is the elongationF is the force appliedL is the original length of the rodA is the cross-sectional area of the rodE is Young's modulus of elasticity of the material.

The cross-sectional area of the steel rod is given by:

A = π\(r^2\)A = π\((0.001 m)^2\) = 7.85 x \(10^{-7} m^2\)

The force applied to the rod:

F = mgF = 10 x 9.81 = 98.1 N

Thus:

ΔL = (98.1 x 2) / ((7.85 x \(10^{-7\)) x (200 x \(10^9\) ))

ΔL = 0.0025 m = 2.5 mm

In other words, the elongation of the steel rod beyond its original length is 2.5 mm.

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Related Questions

The moon does not stay at the same distance from the earth.why?​

Answers

Answer:

The moon does not stay at the same distance of the earth because the ortbit of the moon is slightly elliptical. If earth is not tilted at an angle of 66.5°, there will be no change in the season and the earth will have equal length of days and night.

Explanation:

mark me brainlest

The wave equation says that a waves __ is equal to its wavelength times is frequency.

Answers

Answer:

speed

Explanation:

The wave equation says that a waves speed is equal to its wavelength times is frequency.

A science teacher asks her class to compare the way in which heat is transferred to water in a pond as opposed to soil at the edge of the pond. Which of the following investigations will help them make this comparison?

Answers

The investigation" Place soil in the bottom of a container and water on top, place it in the sun, and measure the temperature of the container" will help them make this comparison.

How to carryout this investigation?

A starting point for conducting a comparative analysis is to fill a container with soil followed by pouring water on top.

The next step involves placing it under sun rays while simultaneously recording its temperature. Post that, we need to separate the sand from water to rapidly gauge any change in temperature.

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Complete question:

A science teacher asks her class to compare the way in which heat is transferred to water in a pond as opposed to the soil at the edge of the pond. Which of the following investigations will help them make this comparison?

a. Mix water and soil in a container, place it in the sun, and measure the temperature of the container.

b. Place soil and water in separate containers, place them indoors, and monitor the temperature of the containers.

c. Place soil and water in separate containers, place them in the sun, and monitor the temperatures of each container.

d. Place soil in the bottom of a container and water on top, place it in the sun, and measure the temperature of the container.

Explain how a globe and a flashlight can used to show why the sun appears to move though the sky

Answers

Answer:

From Earth, the Sun looks like it moves across the sky in the daytime and appears to disappear at night. This is because the Earth is spinning towards the east. The Earth spins about its axis, an imaginary line that runs through the middle of the Earth between the North and South poles.

Explanation:

As the Earth you’re living on spins once, the area in which you live moves into the light coming from the Sun (DAY), spins on and eventually moves out of the Sun’s light (NIGHT).

"But...I swear I can see the sun moving across the sky!"

Yes, it really appears that way, doesn’t it?  Kinda explains why, for centuries of human existence, we believed that the Earth was in the centre of the solar system and the Sun moved around us.  Now we know better; it’s the Sun at the centre, and the Earth and other planets orbit around the Sun. So that means we have to think a bit harder about why there’s Night and Day, and why it seems that it’s the Sun doing the moving.

Question for everybody... Do you like billie eilish or do u hate her and give a explanation why you hate or like her?

Answers

Answer:

I like Billie Eilish

Explanation:

My friend introduced me to yer music and really liked stuff like the 30th and Happier than ever. Me and my friend bond over her music and my friend has her own records that we listen too. Billie sticks up for herself and hasnt had to many big controversal moments and she bring modernism to the music indrustry. We have seen many sides of her and she supports others and seems to be a good be a good human being.

Answer:

Yes I like Billie sm

Explanation:

I've heard her music in so many places for years, and she is on my playlist. She is very amazing! I love Happier than Ever, lovely, and Ocean Eyes, they are my fav!

Laws of motion are important for the study of objects that are not in motion and objects in motion. Is it true or false?

Answers

Gotta be true because physics
True because objects at rest have a law too

A 1400-N crate rests on the floor.
How much work is required to move it at constant speed 5.0 m
vertically.
Express your answer to two significant figures and include the appropriate units.

Answers

The work required to move the crate vertically at a constant speed of 5.0 m is approximately 7000 Joules (J).

To determine the work required to move the crate vertically, we need to calculate the gravitational potential energy change. The work done is equal to the change in potential energy.

The formula for gravitational potential energy is given by:

Potential energy = mass * acceleration due to gravity * height

In this case, the mass of the crate is not provided, but we can use the given weight of the crate to find the mass. Weight is equal to mass multiplied by the acceleration due to gravity (W = mg).

Given:

Weight of crate (W) = 1400 N

Acceleration due to gravity (g) = 9.8 m/s^2

Vertical distance (height) = 5.0 m

First, calculate the mass of the crate:

1400 N = m * 9.8 m/s^2

m = 1400 N / 9.8 m/s^2 ≈ 143 kg

Now we can calculate the work:

Work = Potential energy = mass * g * height

Work = 143 kg * 9.8 m/s^2 * 5.0 m ≈ 7000 J

Therefore, the work required to move the crate vertically at a constant speed of 5.0 m is approximately 7000 Joules (J).

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Consider a spacecraft in orbit around a planet. Identify all the properties that determine the escape velocity of an object that is launched from that spacecraft. the mass of the planet the distance between the spacecraft and the center of mass of the planet mロロロロロ the radius of the spacecraft the radius of the planet the mass of the object

Answers

The properties that determine the escape velocity of an object launched from a spacecraft in orbit around a planet are the mass of the planet, the distance between the spacecraft and the center of mass of the planet, and the mass of the object. The radius of the spacecraft and the radius of the planet are not directly related to the escape velocity, although they may affect the launch and trajectory of the object.

What is escape velocity?

Escape velocity is the minimum velocity required for an object to escape the gravitational pull of a massive body such as a planet, moon, or star, and move away from it infinitely without being pulled back by the gravity.

The escape velocity of an object launched from a spacecraft in orbit around a planet is determined by the following properties:

1. The mass of the planet: The escape velocity is directly proportional to the mass of the planet. The greater the mass of the planet, the greater the escape velocity required to escape its gravitational pull.

2. The distance between the spacecraft and the center of mass of the planet: The escape velocity is inversely proportional to the square root of the distance between the spacecraft and the center of mass of the planet. The farther the spacecraft is from the planet, the lower the escape velocity required to escape its gravitational pull.

3. The mass of the object: The escape velocity is directly proportional to the mass of the object. The greater the mass of the object, the greater the escape velocity required to escape the planet's gravitational pull.

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how were the outer planets formed?

Answers

Answer:

All planets including the outer larger planets were formed at the same time somewhere around 4.5 Billion years ago.

Explanation:

the young sun drove away most of the gas from the inner solar system, leaving behind the rocky cores also known as the terrestrial planets.

i'd like you to explain this to me, I don't have a clue on how to do this

1. I would like you to then go into detail as to why this is an important discovery or application of this scientific principle.

2. Then I would like you to explain how this applies to what we have learned.


"discovery" - Spanish flu

scientific concept/principle - exponential growth


thank you!

Answers

Answer:

Explanation:

The Spanish flu pandemic of 1918, the deadliest in history, infected an estimated 500 million people worldwide about one-third of the planet’s population and killed an estimated 20 million to 50 million victims, including some 675,000 Americans. The 1918 flu was first observed in Europe, the United States and parts of Asia before swiftly spreading around the world. At the time, there were no effective drugs or vaccines to treat this killer flu strain. Citizens were ordered to wear masks, schools, theaters and businesses were shuttered and bodies piled up in makeshift morgues.

Does this sound familiar?

Its the same thing but with a different name called the Corona virus pandemic the same thing happened in 1918 and now it is happening again in 2020 , but in in 2020 there are far less people infected by the Corona virus as compared to the Spanish flu the numbers approximate around 70 million infected and deaths are around 2 million.

The rapid spread of Spanish flu in the fall of 1918 was at least partially to blame on public health officials unwilling to impose quarantines during wartime. The public health response to the crisis in the United States was further hampered by a severe nursing shortage as thousands of nurses had been deployed to military camps and the front lines. But one of the chief reasons that the Spanish flu claimed so many lives in 1918 was that science simply didn’t have the tools to develop a vaccine for the virus. Microscopes couldn’t even see something as incredibly small as a virus until the 1930s.

That is why the Spanish Flu claimed so many lives in 1918 and the Corona Virus didn't claim that many.

The Corona Virus patients with respect to Spanish Flu patients exponentially decreased because in 2020 we had the specific tools to fight the virus and since mankind was aware when the world engrossed into the pandemic 100 years before the new the risks that it could impose on the world , People started to Quarantine themselves, more nurses/doctors are available rather than in the era of the 19th century.

Mathematically we would say that the exponential growth would be:

\(y=ab^x\)

This is an exponential function, which means as you increase  x , y  increases exponentially, and where a is the initial value and b is the growth factor.

For example:

There are 100,000 cases of Coronavirus when the virus outbroke. If the number of cases doubles every week then how many cases would be there in 10 weeks?

So the solution would be

\(y=ab^x\\y=100000(2)^{10}\\y=102400000\)

Which means people infected with the virus would be approximate 102.5 million. But since this kind of pandemic already broke out in 1918 called the Spanish flu mankind was wise and controlled its growth factor (b) by Quarantining people , shutting down businesses, schools  and implying them to work from home , closing off cafeteria's restaurants for dine in purposes and just allowing take away to reduce human contact, and since 1918 we have more doctors and nurses to treat the infected in 2020 we reduced the outbreak to 70 million in about 10 months other wise it could have been 100 million in just 2.5 months as we can see.

So guys stay indoors just go out if you REALLY need something, avoid meeting others , wear masks and gloves :)

a researcher wants to measure internal consistency in a test that measures two different constructs (self-esteem and depression) without subdividing the items into the two construct groupings. which of the following would be the best method to use in measuring internal consistency?

Answers

If the researcher wants to measure internal consistency in a test , then the best method to use in measuring the internal consistency is Split Half Reliability .

The Split Half Reliability is defined as a method which is used to measure the internal consistency of a test by splitting the test into two halves and then calculate the correlation between the scores on the two halves of the test .

In this case, the researcher wants to measure the internal consistency of a test that measures two different constructs (self-esteem and depression) without subdividing the items into the two construct groupings.

Since the test measures two different constructs, the split half reliability may not be able to provide an accurate estimate of internal consistency, because  the correlation between the scores on the two halves may be influenced by the different constructs being measured.

The given question is incomplete , the complete question is

A researcher wants to measure internal consistency in a test that measures two different constructs (self-esteem and depression) without subdividing the items into the two construct groupings. What would be the best method to use in measuring internal consistency ?

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Mass in motion is another way to say

Answers

Answer:

Momentum - Momentum is a measurement of mass in motion. Momentum is equal to the mass times the velocity of an object.

Momentum ........//:////

What does the if statement in a macro do?
It changes the data type of the macro based on the results of a query.
It attaches the macro to a query or report prior to printing to make it readable.
It creates a control in a form and connects the macro to the control’s event property.
It defines a criterion that evaluates to true or false and specifies actions to take if it is true.

Answers

Answer:

It defines a criterion that evaluates to true or false and specifies actions to take if it is true.

Explanation:

EDGE2020

Answer:

D

Explanation:

what are the types of energy sources based on
time of replacement ? write down their names

Answers

Answer:

solar energy

wind power

geothermal energy

hydraulic power

biomass energy

energy storage

(That's all I know).

Explanation: In general there are three sub-segments of "alternative" energy investment: solar energy, wind energy and hybrid electric vehicles. Alternative energy sources which are renewableand have lower carbon emissions than fossil fuels are hydropower, windenergy, solar energy, geothermalenergy, and bio fuels.

Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93

Particles q +8.0 C, q2 +3.5 C, and93-2.5 C are in a line. Particles q and q2 areseparated by 0.10 m and

Answers

The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

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A rollerskating mom has 10,000 kgm/s of momentum. As she's skating, she picks up her 20kg son, who is at rest. What is the momentum of the mom and son together?

Answers

The momentum of the mom and son together is 10,000 kgm/s.

Momentum is a measure of an object's motion, and is calculated as the product of an object's mass and velocity. When the mom picks up her son, the velocity of the combined system doesn't change, so the momentum of the combined system remains the same as the momentum of the mom alone.

p = m * v
where p is momentum, m is mass, and v is velocity.

For the mom alone:
p = 10000 kgm/s = 10,000 kg * 1 m/s

For the mom and son together:
p = (m_mom + m_son) * v = (10,000 kg + 20 kg) * (1 m/s) = 10,020 kg * 1 m/s = 10,020 kgm/s = 10,020 kgm/s

ask a member of the family to help you.Do the following activities and identify the skill/skills being excited . use a separate sheet of paper .

Answers

Answer:

Ok. Thanks.

I'll try it out.

Momentum=mass X velocity

Total Momentum Before Collision = Total Momentum After Collision


momentum object 1 + momentum object 2 = Momentum object 1 + momentum object 2

m1 v1 + m2v2 = m1 v1 + m2v2

1. You are given the following data about a golf club hitting a stationary golf ball:

mass of club head = 0.350 kg

mass of golf ball = 0.046 kg

speed of club head before collision = 38 m/s

speed of club head after collision = 29 m/s

Calculate the following

A. momentum of club head before collision

Answer=_____________________

B. momentum of club head after collision


Answer=_____________________

C. momentum of golf ball before collision


Answer=_____________________

D. momentum of golf ball after collision


Answer=_____________________

E. Velocity of the golf ball after it is hit by the golf club


Answer=_____________________


2. You are given the following data about a bowling ball hitting a stationary bowling pin:

mass of bowling ball = 7.0 kg

mass of bowling pin = 1.5 kg

speed of bowling ball before collision = 11 m/s

speed of bowling ball after collision = 6 m/s


Calculate the following:

A. momentum of bowling ball before collision


Answer=_____________________

B. momentum of bowling ball after collision


Answer=_____________________

C. momentum of bowling pin l before collision


Answer=_____________________

D. momentum of bowling pin after collision


Answer=_____________________

E. speed of the bowling pin after it is hit by the bowling ball


Answer=_____________________

Answers

Answer:

Hope it helped

stay safe, mark BRAINLIEST

Momentum=mass X velocityTotal Momentum Before Collision = Total Momentum After Collisionmomentum object
Momentum=mass X velocityTotal Momentum Before Collision = Total Momentum After Collisionmomentum object
Momentum=mass X velocityTotal Momentum Before Collision = Total Momentum After Collisionmomentum object
Momentum=mass X velocityTotal Momentum Before Collision = Total Momentum After Collisionmomentum object

5. A schoolyard teeter-totter with a total length of 5.2 m and a mass of 38 kg is pivoted at its center. A 19kg child sits on one end of the teeter-totterWhere should a parent push vertically downward with a force of 210 N in order to hold the teeter-totter level?

Answers

The parent should push vertically downward at a distance of 4.66 m from the pivot point in order to hold teeter-totter level.

What is force?

Force can be a push or a pull that is always with magnitude and direction.

As, Fp × x - Mg × d - mc × (L - x) = 0

Fp is force applied by the parent, x is distance from the pivot point to the point where the parent applies force, Mg is weight of the teeter-totter, mc is the weight of the child, and L is length of the teeter-totter.

Fp × x - (38 kg × 9.81 m/s²) × 2.6 m - (19 kg × 9.81 m/s²) × (5.2 m - x) = 0

Fp × x - 976.68 N × m - 185.58 N × m + 183.39 N × m = 0

Fp × x = 978.87 N × m

x = 978.87 N × m / Fp

So, x = 978.87 N × m / 210 N = 4.66 m

Therefore, the parent should push vertically downward at a distance of 4.66 m from the pivot point in order to hold the teeter-totter level.

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Cual es l diferencia entre ruido y sonido

Answers

Answer:

E.l soni.do es un.a sensac.ión, en el órg.ano del oído, prod.ucida por el movimie/nto ondu>latorio de un m/edio elástico (normal/mente el aire), debi.do a ra.pidísimos ca/mbios de pre.sión, generado/s por el movimiento vibrat.orio d.e un cuerpo sonoro. ... /El ruido se consid/era a to/do sonid.o / o no de.seado.

Explanation:

Which statements accurately describe mechanical waves? Check all that apply.

Answers

The accurate statements that describe mechanical waves are: Mechanical waves require a medium , Mechanical waves transfer energy, Mechanical waves can be longitudinal or transverse, Mechanical waves can be categorized as compressional or shear waves, Mechanical waves obey the principles of reflection, refraction, and interference, Mechanical waves have measurable properties such as wavelength, frequency, and amplitude.

Mechanical waves are a type of wave that require a medium, such as a solid, liquid, or gas, to propagate. They are characterized by the transfer of energy through the oscillation or vibration of particles in the medium. Here are the accurate statements that describe mechanical waves:

1. Mechanical waves require a medium: This statement is true. Mechanical waves cannot propagate in a vacuum because they rely on the interaction of particles in a medium to transfer energy.

2. Mechanical waves transfer energy: This statement is true. Mechanical waves transport energy from one location to another as the particles of the medium vibrate or oscillate.

3. Mechanical waves can be longitudinal or transverse: This statement is true. Mechanical waves can exhibit different types of motion. In longitudinal waves, the particles of the medium oscillate parallel to the direction of wave propagation. In transverse waves, the particles oscillate perpendicular to the direction of wave propagation.

4. Mechanical waves can be categorized as compressional or shear waves: This statement is true. In a compressional wave, the particles of the medium undergo compression and rarefaction as the wave passes through. In shear waves, the particles move perpendicular to the direction of wave propagation, resulting in a sideways displacement.

5. Mechanical waves obey the principles of reflection, refraction, and interference: This statement is true. Mechanical waves can reflect off surfaces, change direction when passing through different media (refraction), and exhibit interference patterns when two or more waves interact.

6. Mechanical waves have measurable properties such as wavelength, frequency, and amplitude: This statement is true. Mechanical waves can be described by various properties. Wavelength represents the distance between two consecutive points in the wave, frequency is the number of wave cycles per unit of time, and amplitude is the maximum displacement of particles from their equilibrium position.

These statements accurately describe mechanical waves and their properties, highlighting the key characteristics of this type of wave propagation.

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A cap 6.000 cm in diameter plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure. The container is submerged to a depth of 10.00 ft in water. Assume the plug is planar and the pressure over the container is equalized. The force needed to remove the plug is closest to?

Answers

The force needed to remove the plug that is 6.000 cm in diameter which plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure is 85 N

P = F / A

P = ρ g h

P = Pressure

F = Force

A = Area

ρ = Density

g = Acceleration due to gravity

h = Height

ρ = 1000 kg / m³

g = 9.8 m / s²

h = 10 ft = 3.048 m

A = π r²

d = 6 cm = 0.06 m

r = d / 2 = 0.06 / 2

r = 0.03 m

A = 3.14 * 0.03 * 0.03

A = 0.002826 m²

Equating both formulae of P,

F / A = ρ g h

F = 1000 * 9.8 * 3.048 * 0.002826

F = 85 N

Therefore, the force needed to remove the plug is closest to 85 N

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A car accelerates at 4 m/s/s from rest. What is the car's velocity after 5 seconds?

Answers

Answer:

3m/sec

Explanation

V=u+at

23=u+4*5

23=u+20

23-20=u

U=3m/sec

Which of the units of the following physical quantities are derived

Answers

Answer:

You have not provided options but so long as the option is none of these, it's the right answer:

Electric current, Thermodynamic temperature,mass,time amount of substance,length, luminous intensity

assignment questions

Answers

Answer:

which on a is the question

If a student were to measure the ball's speed at each position above, at which position would
the ball be traveling the fastest?
000
A
B
C
D

If a student were to measure the ball's speed at each position above, at which position wouldthe ball

Answers

Answer:

the answer is b

Explanation:

which of the following is a form of potential energy

Answers

here are some forms:
Elastic Potential Energy
Electrical Potential Energy
Gravitational Potential Energy
Nuclear Potential Energy

Two equal and opposite charges are placed 40mm apart,if the force between them is found to be 0.5N Calculate the magnitude of the charge

Answers

The force between two charges can be calculated using Coulomb's law, which states that the force (F) between two charges (q1 and q2) is proportional to the product of their charges and inversely proportional to the square of the distance (r) between them:

F = k * (q1 * q2) / r^2

where k is Coulomb's constant (9 x 10^9 N m^2 C^-2).

In this problem, we have two equal and opposite charges, so we can assume that q1 = -q2 = q. The distance between them is 40 mm, which is 0.04 m. We are given that the force between them is 0.5 N. Therefore, we can set up an equation:

0.5 N = k * (q * q) / (0.04 m)^2

Simplifying and solving for q:

q^2 = (0.5 N * (0.04 m)^2) / k
q^2 = (0.5 N * (0.04 m)^2) / (9 x 10^9 N m^2 C^-2)
q^2 = 8.88 x 10^-12 C^2
q = sqrt(8.88 x 10^-12 C^2)
q = 2.98 x 10^-6 C

Therefore, the magnitude of each charge is 2.98 x 10^-6 C.

A powered winch is used to pull a sailboat to shore. The winch uses a 900 W motor.

If the motor is used for 30 s, how much work does it do? (Power: P = W/t)

0.03 J
30 J
960 J
27,000 J

Answers

Answer: 27,000 J :)

Explanation:

If the winch uses a 900 W motor and the motor is used for 30 s to pull a sailboat then work needed to do this work is 27000 J. hence option D is correct

What is Power?

Power is the rate of doing work. Power is also defined as work divided by time. i.e. Power = Work ÷ Time. Its SI unit is Watt denoted by letter W. Watt(W) means J/s or J.s-1. Something makes work in less time, it means it has more power. Work is Force times Displacement. Dimension of Power is [M¹ L² T⁻³]

Given,

Power P = 900W

Time = 30s

Work in joule =?

By using formula,

P = Work ÷ Time

Work = Power × time

W= 900 × 30

W= 27000 J

Hence Work of 27000J is needed to pull a sailboat to shore in 30s.

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Forces
A cyclist cannot reach terminal velocity going downhill.

Answers

Answer:

Air resistance

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17. When the sun shines during the hours of_, outside time should be limited.O A. 6:00 p.m. to 8:00 p.m.O B. 10:00 a.m. to 2:00 p.m.O C. 2:00 PM to 6:00 p.m.O D. 8:00 a.m. to 10:00 a:m. Why did European colonist need a new labor force in the Americas in 1500s Anyone good with fossils? I need some help what happens if i quit job in my current company while in h1b and interviewing at other companies simultaniously suppose that you are dealt 5 cards from a well shuffled deck of cards. what is the probability that you receive a hand with exactly three suits Prove by induction: prove that for n X^+ ,1 2 + 2 3 + + n(n + 1) = n(n + 1) (n + 3)/3 Pls help asap!!!Find the area of the geometric figure. which property is illustrated by the following statement 4.8 + k = k + 4.8 The technical standards for conducting e-commerce are universal standards. True or False? Which country supported HoChiMinh in his push for Vietnamese independence? Let P be a vector space over R and let L : P P be some linear map.Determine if the set P = { p P | L(p) = p } is a subspace of P Explain the marketing communication mix implemented bythe brand. Please provide example to support youranswer Write an algebraic expression for the nth term of each sequence for 10,50,70,100,130 PLEASE HELP WITH 5.03 Keep the peace!!! Step 1. Create a Top Five list of events related to westward expansion that affected African Americans.1. Missouri Compromise2. Compromise of 18503. Kansas-Nebraska Act4. Dred Scott v. Sandford5. Fugitive Slave Act6. Nat Turner's Rebellion7. Bleeding Kansas8. Harpers FerryStep 2. Explain your reasoning for the item you ranked as the #1 event with strongest impact 1995 is in which century "It shall be the policy of this Nation toregard any nuclear missile launchedfrom Cuba against any nation in theWestern Hemisphere as an attackby the Soviet Union on the UnitedStates, requiring a full retaliatoryresponse upon the Soviet Union."-U.S. president John Kennedy, Address onThe Cuban Crisis-October 22, 1962According to President Kennedy, the United States would consider "anynuclear missile launched from Cuba" evidence of...Soviet aggression.Cuban nuclear proliferation.the globalization of the Cold War. .an attack on the Western Hemisphere. Which of the following is an advantage of captive leasing companies over the other players in the leasing market?a. They have access to low-cost funds allowing them to purchase assets at lower cost.b. They are good at developing innovative contracts that help avoid accounting problems.c. They provide leasing arrangements for a wider range of products than the parent company's product line.d. They have the paint-of-sale advantage in finding leasing customers. On july 1 of the current calendar year, plum company paid $7,500 cash for management services to be performed over a two-year period beginning july 1. The adjusting entry ondecember 31 of the current year for plum would include:. True/False: the need to find a mate, potential exposure to sexually transmitted diseases and risks of hybridization are all relatively unimportant costs to the evolution of sexual reproduction. progressives were most concerned with the __ of modern industrial society.