Engineers were planning to install decorative columns made of marble, of density 2560kg/m cubed, in front of a building. The columns were 2.72m tall and of radius 45 cm
a) Calculate the mass of column

ii) Calculate the pressure exerted by each column on the ground

iii) Engineers found out that the ground beneath the columns would not withstand the pressure calculated in c(ii). Suggest 1 possible change to each column, the engineers do , to solve this problem​

Answers

Answer 1

Answer:

See the answers below.

Explanation:

We must apply the definition of density which is the ratio of mass to volume.

[tex]Ro=m/v[/tex]

where:

Ro = density = 2560 [kg/m³]

m = mass [kg]

v = volume [m³]

With the column height data and column radius we can calculate the volume, since it resembles the volume of a cylinder. In this way the volume of a cylinder is defined by the following expression.

[tex]V=\pi *r^{2}*h[/tex]

where:

r = radius = 45 [cm] = 0.45 [m]

h = height = 2.72 [m]

[tex]V = \pi *(0.45)^{2}*2.72 \\V = 1.73 [m^{3} ][/tex]

a)

The mass can be calculated as follows.

[tex]m=Ro*V\\m=2560*1.73\\m= 4428.8 [kg][/tex]

ii)

Pressure is defined as the relationship of force over an area.

The area can be calculated with the radius of the cylinder.

[tex]A=\pi *r^{2}\\A = \pi *(0.45)^{2}\\A = 0.636 [m^{2} ][/tex]

Therefore

[tex]P=F/A\\where:\\F=m*g\\F=4428.8*9.81\\F=43446.53[N][/tex]

[tex]P=43446.53/0.636\\P=68312.15[Pa]\\P=68.31[kPa][/tex]

iii)

If the pressure is very large we must analyze the pressure equation again.

[tex]P=\frac{F}{A}[/tex]

We can see that the pressure depends on the strength (weight) and the area of the column. In this way if we increase the value of the area (denominator) we see that the pressure decreases.

If the new Radius is 50 [cm] = 0.5 [m]

[tex]A=\pi *(0.5)^{2}\\A = 0.785 [m^{2} ][/tex]

Now we can calculate again the pressure.

[tex]P=43446.53/0.785\\P=55317.84[Pa]=55.32[kPa][/tex]

We can see the reduction in pressure.


Related Questions

If you drop a baseball and a soccer ball at the same time which will hit the ground first?

Answers

Answer:

Baseball

Explanation:

If two objects are the same size but one is heavier, the heavier one has greater density than the lighter object. The heavier object would fall and hit the floor first. In other words the baseball would hit the ground first.

HOPES THIS HELPS YOU!!! PLEASE MARK AS BRAINLIEST???

Question 2 (10 points)
NEED HELP ASAPPPPPPP!!!!
To stop the soccer ball, and gain control of it is called what?

(a) winning

(b) trapping

(c) stopping

(d) kicking​

Answers

Answer:

traping

Explanation:

Answer:

B. Trapping

Explanation:

Explain the process used to translate the chemical equation below into a chemical equation written in words. Use details to support your answer.

MgO+C=CO(g)+Mg

Answers

Answer:

See explanation

Explanation:

We have to first put down the balanced reaction equation;

MgO+C------->CO2(g)+Mg

We then have to identify each specie in the reaction equation. The reactants are;

Magnesium oxide and carbon

The products are

Carbon dioxide and magnesium metal

So the word equation is as follows;

Magnesium oxide + carbon ----> carbon dioxide + magnesium

In a sentence form;

One mole of magnesium oxide reacts with one mole of carbon to yield one mole of carbon dioxide and one mole of magnesium metal.

pain... physical, mental, emotional?

Answers

will you please mark me as brainliest or thank me. i can’t post a question until someone does and i’m so confused on my question i really need you to please

what is potential displacement?​

Answers

Answer:

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

Explanation:

                          "potential displacement"

in geometry and mechanics a displacement is a vector whose length is a shortest distance from the initial to the final position of a point p undergoing motion.it quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory.A displacement may be identified with the translation that maps the initial position to the final position.

A displacement ,may also described as a relative position that is as the final position xf of the point to the point relatively to its initial position xi.The corresponding displacement vectors can be defined as the difference between the final and initial positions.

    s=xf-xi=Δx

in considering motion of objects over time,the instantaneous velocity of the object is the rate of change of the displacement as a function of time.The instantaneous speed then is distinct from velocity or the time rate of change of the position vector.if one considers a moving initial position or equivalently a moving origin.

   From motion over a given interval of time,the displacement divided by the length of the time interval defines the average velocity which is a vector and differ thus from the average speed,which is a scalar.

At night, within how many feet of approaching a vehicle from the rear must you dim your high beam headlights

Answers

Answer: 500 ft

Explanation:

High beam headlights help one to see better at night as the range of vision is greatly expanded. They can however, blind drivers coming on the opposite lane.

It is therefore prudent to ensure that when using high beam headlights, you dim them when a car is coming towards you. The appropriate distance to do so is a minimum of 500 ft from the car.

give me much information about Hubble space telescopes as possible you can. I have final research thing and I need ti write about Hubble telescope but I want to get more information from you guys. I’m giving you A LOT of points!!! (This is astronomy class) posted this again fir other people to answer :)

Answers

the Hubble space telescope is a space telescope that was launched to lower the orbit in 1990 and remains in operation. it was not the first space telescope, but it is one of the largest and most versatile, well known as both as a vital research tool and as a public relations boon for astronomy. The Hubble telescope is named after astronomer Edwin Hubble, and is one of NASA’s great observatories, along with Compton GammaRay observatory, the Chandra x-ray observatory, and the Spitzer Space Telescope.

Hubble features a 2.4 meter mirror, and it’s four main instruments observed in the ultraviolet, visible, and near in-fraired regions of the electromagnetic spectrum.
Hobbles orbit outside the distortion of earths atmosphere allows it to capture extremely high resolution images with the substantially lower background light than ground base telescopes. it has recorded some of the most detailed visible light images, allowing a deep view into space. Many Hubble observations have led to the breakthroughs in astrophysics, such as determining the right of expansion of the universe.

The Hubble telescope was built by the United States space agency NASA with the contributions from that European space agency. The space telescope science Institute select hobbles targets and processes the resulting data while Goddard space flight Center controls the spacecraft. Space telescope for repost as early as 1923. Hubble was founded in 1970s with the proposed launch in 1983, but the project was reset by technical delays, budget problems, and the 1986 challenger disaster. It was finally launched by space shuttle discovery in 1990, but its main mirror had been ground incorrectly, resulting in spherical aberration that can promise to telescopes capabilities. The optics were corrected to their intent to quality by a servicing mission in 1993. How old is only telescope designed to be maintained in space by astronauts. Five space shuttle missions have repaired, upgraded, and replace systems on the telescope, including all five of the main instruments. The first mission was initially canceled on safety grounds following the Columbia disaster which was in 2003, but nice administrator Michael D Griffin approved the fifth servicing mission which was completed in 2009. The telescope was opening as of April 24, 2020 is 30th anniversary, and could last until 2030-2040. One successor to the Hubble telescope is the James Webb space telescope which is scheduled to be launched in late 2021.

If the specific heat of water is 4.18 J/gC, what is the approximate increase in thermal energy when the temperature of 10 g of water is raised from 15°C to 35°C?

Answers

Answer:

840

Explanation:

Multiply the specific heat and mass. Then subtract the initial temperature from the final one to get 20. Now multiply all your numbers together.

A stunt woman falls into a net. Assume she experiences upward acceleration magnitude while touching the net. Thanks :)

Answers

Answer:

I think its C or A

Explanation:

WILL MARK BRAINIEST!!!!!! (Fill in the blanks with the possible answers at the bottom)
1. A Shallow __ is a good indicator of tsunamis, but sends data very slowly and cannot detect earthquakes. *

2. A __ is caused by a sudden shift in the ocean crust which displaces the water. *

3. Tsunamis are common at __ plate boundaries, since large earthquakes release the built up pressure, resulting in a quick vertical movement of the plate. *

4. A tsunamis is possible, but unlikely at a __ plate boundary where two plates are moving sideways past each other. *

5. The Indonesian Earthquake of 2004 had a 9.1__, which was the third largest ever recorded in human history. *


ALL POSSIBLE ANSWERS!!!!

A. Earthquake,
B. Tsunami,
C. Magnitude,
D. Sensor,
E. Transform,
F. Convergent,
G. Divergent.

Answers

Number 3 I think there was so much going In ckcoc v K o n&+\

Which expression is equivalent to 5(2+7)? 0 2(5+7) O 2 + 7(5) O 5(2)+7 O 5(2)+5(7)​

Answers

Answer:

5(2)+5(7)

Explanation:

5(2)+5(7)=10+35=45

Select the correct rocks.
Identify the igneous rocks.

Answers

Answer:

Red Volcano Rock and the Lava Rock Covered in Sulphur

Explanation:

Igneous Rocks are formed by volcanoes, lava, and magna. Sandstone is sedimentary and Slate is metamorphic. The other two are literally formed by volcanoes.

Answer:

Red Volcano Rock and the Lava Rock Covered in Sulphur

Explanation:

HELP PLEASE BOYLES LAW

Answers

Answer:

3 L

Explanation:

From the question given above, the following data were obtained:

Initial volume (V₁) = 2 L

Initial pressure (P₁) = 0.75 atm

Final pressure (P₂) = 0.5 atm

Final volume (V₂) =?

Using the Boyle's law equation, the new volume (i.e final volume) of the Ne gas can be obtained as:

Initial volume (V₁) = 2 L

Initial pressure (P₁) = 0.75 atm

Final pressure (P₂) = 0.5 atm

Final volume (V₂) =?

P₁V₁ = P₂V₂

0.75 × 2 = 0.5 × V₂

1.5 = 0.5 × V₂

Divide both side by 0.5

V₂ = 1.5 / 0.5

V₂ = 3 L

Thus, the new volume of the Ne gas is 3 L

Why do Kepler's laws describe?

Answers

Answer:

The shape of an orbit

Explanation:

Answer:

The geometry of an orbit

Explanation:

AYE PECKS

Static stretching is done by slowly moving a joint towards its maximum range of motion. You will feel a gentle pulling sensation in the muscle being stretched.

True or False

Answers

Answer:

True

Explanation:

It is true that you will feel a gentle pulling sensation in the muscle being stretched when Static stretching is done by slowly moving a joint.

What is static stretching?

Static stretching is most likely the most well-known and time-honored method of stretching. This entails extending a muscle to its maximum length and then maintaining that position for at least 15 to 20 seconds.

With each stretch, the emphasis is frequently on focusing on a specific muscle group.

Hence it is true that you will feel a gentle pulling sensation in the muscle being stretched when Static stretching is done by slowly moving a joint.

To learn more about the static stretching refer to the link;

https://brainly.com/question/1237629

A child is on a sled moving down a hill at 27.6 m/s. The combined mass of the sled and child is 60.6 kg. The momentum of the child and sled is ____.

Answers

Answer:

1672 kgm/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 60.6 × 27.6

1672.56 kg.m/s

Hope this helps you

HELP!! I need an explanation for this question!

Answers

Assuming a constant force, and hence a constant acceleration a, we have by Newton's second law,

4.0 N = (1.2 kg) a   →   a = (4.0 N) / (1.2 kg)

and by definition of average velocity,

a = (5.0 m/s - 2.0 m/s) / t

where t denotes the time for which the force is applied.

So,

(4.0 N) / (1.2 kg) = (3.0 m/s) / t   →   t = (3.0 m/s) (1.2 kg) / (4.0 N) = 0.90 s

crude oil coal and peat are examples of fossil fuels name another one

Answers

Answer:

petroleum and Natural gas are fossil fuels

Explanation:

Why is it generally easy to filter out particles in suspension?

Answers

Answer: A suspension is a heterogeneous mixture in which some of the particles settle out of the mixture upon standing. The particles in a suspension are far larger than those of a solution, so gravity is able to pull them down out of the dispersion medium (water).

Explanation:

1. How much heat is produced if you heat .25 kg water from 25 degrees C to 100 degrees C. The specific heat of water is 4180 J/kg C.

Answers

Answer:

Q = 78375 [J]

Explanation:

To solve this problem we must use the following ideal equation for the thermal energy of an element or substance depending on the temperature change.

[tex]Q=m*C_{p}*(T_{final}-T_{initial})[/tex]

where:

Q = heat [J]

m = mass = 0.25 [kg]

Cp = specific heat = 4180 [J/kg*C]

Tinitial = 25[°C]

Tfinal = 100 [°C]

[tex]Q =0.25*4180*(100-25)\\Q = 78375 [J][/tex]

HELP WILL MARK BRAINLIEST!!

Answers

Answer:15

Explanation:

A child tugs on a rope attached to a 0.62 kg toy with a horizontal force of 16.3 N. A puppy pulls the toy in the opposite direction with a force of 15.8 N. What is the acceleration of the toy

Answers

Answer:

[tex]a=51.77\ m/s^2[/tex]

Explanation:

Given that,

The mass of a toy, m = 0.62 kg

Force with which a child pull the toy = 16.3 N

The force with which the toy pulled in the opposite direction = -15.8 N

We need to find the acceleration of the toy. Let F be the net force acting on the toy. It is equal to :

F = 16.3 N - (-15.8 N)

= 32.1 N

Let a be the acceleration of the toy. Using Newton' second law of motion to find it.

F = ma

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{32.1}{0.62}\\\\a=51.77\ m/s^2[/tex]

So, the acceleration of the toy is [tex]51.77\ m/s^2[/tex].

One scientist is using an electromagnetic wave to map the dust between stars. The electromagnetic wave has shorter wavelength than radio waves but longer wavelength than visible light. What electromagnetic wave is the scientist using? X-ray Infrared light Gamma ray Ultraviolet radiation

Answers

infrared light

it is also found under the name IR lights. although it’s technically invisible, it can still be seen with machinery up to at least 1050 nm in experiments.

Q12. How much force is applied on the body when 150 joule of work
is done in displacing the body through a distance of 10m in the
direction of force?​

Answers

Force = Work/distance

Force = 150/10

          =  15 Newtons

Force = 15 Newtons

Therefore, 15 newtons of force is applied to the body when 150 joules of work

is done in displacing the body through a distance of 10m in the  direction of the force.

define work and power​

Answers

Answer:

Work and power​  is described below in complete details.

Explanation:

Work is described as the method of energy change to the movement of an object through the employment of force. This is ordinarily expressed as the outcome of power and displacement. The SI unit of work is Joule. Power is described as the quantity of energy conveyed in unit time. Power is a measure of the amount of work performed per unit of time.

A 400kg boulder sits on top of a 500m cliff. What is its PE when it reaches 250m from the ground?

Answers

Answer:0

Explanation:

gang sh

Answer:

980,000J

Explanation:

What does bubble universe mean

Answers

Answer:

Our universe may live in one bubble that is sitting in a network of bubble universes in space. ... The concept is known as a "parallel universe," and is a facet of the astronomical theory of the multiverse. The idea is pervasive in comic books, video games, television and movies.

An electric heater is rated at 1500 W. If the heater is rated as 80% efficient, calculate the output
rate of energy​

Answers

Answer:

Power = 1200 [W].

Explanation:

The efficiency of an electrical equipment is defined as the relationship between the power realized, over the power that is consumed. For this case, they give us the data of consumed power and efficiency in this way we can calculate the power that the equipment performs.

[tex]Efficency=\frac{Power_{done}}{P_{consumed}}\\0.8 = \frac{Power_{done}}{1500} \\Power_{done}=1500*0.8\\Power_{done} = 1200 [W][/tex]

This means that of the 1500 [W], 1200 [W] are actually used to get the job done. This is established by means of the first law of thermodynamics.

the photo shows a swimmer pushing off the side of a pool

Answers

Answer:

Every action has an equal and opposite reaction.

Explanation:

Answer:

An action-reaction force pair

Explanation:

How much time does it take to use 300 W of power to do 1800 J of work? Round your answer to the nearest whole
number
The time is
S.
Done
Intro

Answers

Answer:

6 seconds

Explanation:

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