5. A cable is attached 32.0 m from the base of a flagpole that is about to
be raised. The raising of the pole is temporarily halted when the pole is
at an angle of 60.0° with respect to the ground. If the cable exerts a ver-
tical force of 1.233 x 104 N downward and a horizontal force of 1.233 x
104 N to the left, what is the length of the flagpole?

Answers

Answer 1

Answer:

The length of the flagpole is approximately 87.43 m

Explanation:

The given parameters of the cable attached to the flagpole are;

The point along the flagpole at which the cable is attached = 32.0 m

The angle with respect to the ground at which the raising of the flagpole is halted = 60.0°

The downward force exerted by the cable, [tex]F_v[/tex] = 1.233 × 10⁴ N

The force exerted by the cable to the left = 1.233 × 10⁴ N

Let 'W' represent the weight of the flagpole, at equilibrium, we have;

The sum of vertical forces = 0

Therefore;

[tex]F_v[/tex] + W - R = 0

W - R = -1.233 × 10⁴ N

Taking moment about the support at the base of the pole, we get;

1.233 × 10⁴ × d × cos(60.0°) - 1.233 × 10⁴ ×d× sin(60.0°) + W × d/2 ×cos(60.0°) = 0

∴ W × d/2 ×cos(60.0°) ≈  4513.093·d  

W = 2 × 4513.093/(cos(60.0°)) ≈ 18,052.373 N

R = 18,052.373 + 1.233 × 10⁴ ≈ 30,382.373

R ≈ 30,382.373 N

Taking moment about the point of attachment of the cable to the ground, we have;

W × ((d/2) × cos(60.0°) + 32) = R × 32

∴ (d/2) = ((30,382.373 × 32/18,052.373) - 32)/(cos(60.0°)) ≈ 43.71281

d = 2 × 43.71281 ≈ 87.43

The length of the flagpole, d ≈ 87.43 m


Related Questions

Two people are talking at a distance of 3.0 m from where you are, and
you measure the sound intensity as 1.1'10 W/m. Another student
is 4.0 m away from the talkers. Calculate a reasonable estimate for the
sound intensity that the other student measures.
A) 62' 10-8 W/m2
B) 1.5'10-7 W/m2
8.3' 10-8 W/m2
D) 7.8'10-7 W/m2

Answers

Answer:

The sound intensity that the other student measure, I₂ is expected to be;

A) 6.2 × 10⁻⁸ W/m²

Explanation:

The measure of sound intensity is given by the following formula;

[tex]I = \dfrac{P}{4 \cdot \pi \cdot R^2}[/tex]

[tex]\dfrac{I_2}{I_1} = \dfrac{R_1^2}{R_2^2}[/tex]

Where;

I = The intensity

R = The radius

P = The power of the sound

Whereby we have;

The distance of the two people talking, R₁ = 3.0 m

The measure of the sound intensity, I₁ = 1.1 × 10⁻⁷ W/m² (from an online source)

The distance of the other student from the two people talking, R₂ = 4.0 m

Therefore, the estimate of the sound intensity, I₂, is given as follows;

[tex]{I_2} = \dfrac{R_1^2}{R_2^2} \times {I_1}[/tex]

[tex]{I_2} = \dfrac{(3.0 \, m)^2}{(4.0 \, m)^2} \times 1.1 \times 10^{-7} \ W/m^2 = 6.1875 \times 10^{-8} \ W/m^2[/tex]

I₂ = 6.1875 × 10⁻⁸ W/m²

∴ The sound intensity that the other student measure, I₂ ≈ 6.2 × 10⁻⁸ W/m²

When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 84.0-kg man just before contact with the ground has a speed of 6.82 m/s. (a) In a stiff-legged landing he comes to a halt in 4.56 ms. Find the magnitude of the average net force that acts on him during this time. (b) When he bends his knees, he comes to a halt in 0.254 s. Find the magnitude of the average net force now. (c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of the forces, find the magnitude of the force applied by the ground on the man in part (b).

Answers

Answer:

a)  F = 1.26 10⁵ N,  b)  F = 2.255 10³ N, c)   F_ {soil} = 3078 N

Explanation:

For this exercise we will use the relationship between momentum and moment

          I = Δp

          F t = p_f -p₀

a) with stiff legs, final speed is zero, initial velocity is down

         Ft = 0-p₀

         F =  m v / t

let's calculate

         F = 84.0 6.82 / 4.56 10⁻³

         F = 1.26 10⁵ N

         

b) bending the legs

         

let's calculate

         F = 84.0 6.82 / 0.254

         F = 2.255 10³ N

     

c) It is requested to calculate the force of the ground on the man

            ∑ F = F_soil -W

           F_soil = F + W

           F_ {soil} = 2.255 103 + 84 9.8

           F_ {soil} = 3078 N

an organism that cannot make its own food called

Answers

Answer:

heterotroph

Explanation:

Answer:

a predator cannot make its own food

A scooter acquires a speed of 36km/ h in 5s just after the start. Calculate the acceleration of the scooter

Answers

Answer:

We need to convert seconds to hours:

5s= (5/60)min= 0.08min=(0.08/60)h=0.001h

a=v/t=36/0.001=36.000km/h^2

A cement mixer with a radius of 2 m spins with a tangential velocity of 0.4 m/s. Determine the centripetal acceleration of a piece of dried cement stuck to the inside wall of the mixer.

Answers

Answer:

[tex]a=0.08\ m/s^2[/tex]

Explanation:

Given that,

The radius of the mixer, r = 2 m

Tangential velocity of the mixer, v = 0.4 m/s

We need to find the centripetal acceleration of a piece of dried cement stuck to the inside wall of the mixer. The formula for the centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(0.4)^2}{2}\\\\a=0.08\ m/s^2[/tex]

So, the centripetal acceleration is equal to [tex]0.08\ m/s^2[/tex].

Alannah added a strip of zinc to a beaker containing a solution of copper
sulfate, as shown in the photo. She expected to observe the immediate
formation of solid copper in the beaker but saw no evidence of a reaction.
Alannah predicted that the reaction was happening too slowly to observe.
Which statement could best explain this result?

Answers

The solution of copper sulfate was too cold

Explanation:

The lack of an observable reaction when adding a zinc strip to a copper sulfate solution could be due to the zinc not being reactive enough, the reaction occurring too slowly, or an experimental error.

What is the lack of an observable reaction?

The lack of an observable reaction refers to a situation where no visible or measurable change occurs when two or more substances are mixed or brought into contact with each other, even though a reaction was expected based on the chemical properties of the substances involved.

Here in the Question,

The lack of an observable reaction when Alannah added a strip of zinc to a beaker containing a solution of copper sulfate could be due to the following reasons:

Zinc and copper sulfate do not react: It is possible that the zinc strip and copper sulfate solution do not react with each other, leading to no observable change. This could occur if the zinc strip is not reactive enough to displace the copper in the copper sulfate solution.

Reaction is slow: Another possibility is that the reaction between zinc and copper sulfate is occurring but is happening too slowly to be observed. In this case, the reaction rate may be too low to produce an observable amount of solid copper in the beaker in a short period of time.

Experimental error: It is also possible that an error was made during the experiment that prevented the expected reaction from occurring. For example, the concentration of the copper sulfate solution may have been too low, or the zinc strip may have been coated with a layer of oxide that prevented it from reacting with the solution.

Therefore, Zinc may not be sufficiently reactive, the reaction may proceed too slowly, or there may have been a mistake in the experiment if there was no detectable reaction when a zinc strip was added to a copper sulphate solution.

To learn more about redox reaction click:

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A circus stuntman holds himself straight out by his arms from a vertical pole. If the stuntman's center of gravity is located 0.75 m away from the pole and he weights 650 N, how much force do is arms have to apply if they exert their force upwards at 0.10 m away from the pole? [4875 N]

Answers

Answer: 4875 N

Explanation:

Given

Stuntman weight is [tex]W=650\ N[/tex]

His center of gravity is located at [tex]x=0.75\ m[/tex] away from pole

If he applies an upwards force at 0.10 m away from the pole

Suppose  F is the applied force

To remain vertical, the torque of weight must be canceled by the vertical force

[tex]\Rightarrow 650\times 0.75-F\times 0.10=0\\\\\Rightarrow 650\times 0.75=F\times 0.10\\\\\Rightarrow F=\dfrac{487.5}{0.10}=4875\ N[/tex]

Kyra and Pari are timing how long it takes for 1 g of sugar to dissolve in hot water. Kyra records a time of 24.3 seconds. Pari records a time of 24 seconds. Whose reading is more precise? Why?

Answers

Answer:we can say that:-A reading with more no of significant figures is considered to be more precise.Kyra recorded a reading of 24.3 sec. Since all non 0 digits are considered to be significant this reading has 3 significant figures.Pari recorded a reading of 24 sec. Since all non 0 digits are considered to be significant this reading has 3 significant figures.hence we can say that kyra's reading has more significant figures nd so it is more precise.

What are the 3 basic parts of an atom and what are their charges?

Answers

Answer:

electrons neutrons and protons

Explanation:

electron are negative

nuetron are neutral

protons are positive

PLEASE HELP ME
NEED IT FAST WILL GIVE B !! If correct

Answers

Answer:

25% :)

Explanation:

briefly discuss university need based scholarships and explain them.​

Answers

Answer: Scholarships are given to reduce the burden of finance to be payed for academics and learning.

Explanation:

The need based scholarships are given in the following matters:

1. Research based scholarships: Scholarships should be given to meritorious students to conduct research in a particular discipline.

2. Student fails to submit fees: The student if meritorious and family is not able to fees then university can either postpone the date for fees payment or can give some concession in fees or fund the student fees for a tenure. It is a kind of scholarship for meritorious students.

3. Teacher scholarships: Teachers are allowed to learn new teaching methodologies with other institutions so that they can help students to learn well. They are provided with scholarships to avail admission in those institutions.

Complete the following sentence.

An animal’s genetic and observable traits are called the
_and_
dont have options

Answers

Answer:

Dominant and recessive

Explanation:

This is like 6th-grade stuff man

What is the speed of a 1600kg car if its momentum is 120,000kgms?

Answers

Answer:

Velocity of car = 75 m/s

Explanation:

Given:

Mass = 1,600 kg

Momentum = 120,000kgm/s

Find:

Velocity of car

Computation:

Velocity = Momentum / mass

Velocity of car = 120,000 / 1,600

Velocity of car = 75 m/s

anyone know how to select someone as brainiest?!!!!!!!!!!!!!!!

Answers

you press the button near their answer
Where’s the work????????

Which factors could be potential sources of error in the experiment? Check all that apply.

energy lost in the lever due to friction
color of the soda bottle used in the experiment
visual estimation of height of the beanbag
temperature of the lab at the time of the experiment
position of the fulcrum for the lever affecting transfer of energy

Answers

Answer:

1. energy lost in the lever due to friction

3. visual estimation of height of the beanbag

5. position of the fulcrum for the lever affecting transfer of energy

Explanation:

Edge 2021

The factors that could be potential sources of error in the experiment are

Energy lost in the lever due to frictionVisual estimation of height of the beanbag Position of the fulcrum for the lever affecting transfer of energy

Options A,C,E

What is an error in the experiment?

Error in the experiment is simply defined as the inaccuracies that prevent us from seeing an entirely correct measurement.

In conclusion, Errors in experiments are inevitable but the average is used to curtail them.

Read more about  Energy

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What would be the wavelength of the sound
when it travels through the concreate wall
with the frequency of 4500 hertz?​

Answers

Answer: 0,96 m

Explanation: speed in concrete is 4300 m/s

According to wave equation speed v = lambda × frequency

Lambda = speed /frequency

Which formula uses mass in the equation?

Answers

The mass can be calculated by dividing the net force acting on an object by the acceleration of the object. When talking about net force, we use the units kilogram meter per second squared. This is also known as a Newton. The units for acceleration is meters per seconds squared, and the units for mass are kilograms.

A student bangs a brick at the head of a table. Three students are positioned equal distance from the head with their hands on the table. What conclusion can be made about how they each will feel the vibrations?

Answers

Explanation:

that the people closer too the head of the table will feel more vibrations than the people at the end of the table. since the vibrations will slow down as they travel farther down the table

Hope this helps!!

A 500 kg car traveling at 20 m/s rear ends another car of 600 kg at rest. The collision is great enough that the two cars stick together after they collide. How fast will both cars be going after the collision?

Answers

Answer: its 50

Explanation:

im waffling does anybody have syrup

Which graph best represents the relationship between KE and speed?

A graph with vertical axis K E and horizontal axis Speed with a straight line sloping sharply upward.

A graph with vertical axis K E and horizontal axis Speed with a concave line sloping sharply upward.

A graph with vertical axis K E and horizontal axis Speed with a straight line sloping sharply downward.

A graph with vertical axis K E and horizontal axis Speed with a curved line going first upward and then downward.

Answers

A graph with vertical axis K E and horizontal axis Speed with a straight line sloping sharply upward.

Relationship between kinetic energy and speed

The kinetic energy of an object is directly proportional to the square of its speed which means that if kinetic energy of an object increases the speed of that object is also increases and vice versa so we can conclude that graph with vertical axis K E and horizontal axis Speed with a straight line sloping sharply upward is the right answer.

Learn more about speed here: https://brainly.com/question/4931057

Answer:

The correct answer is:

B.)

Explanation:

I did the assignment on Edge, 2022.

(See the attachment below.)

Hope this helped, good luck on the quiz! :D

What is the transfer of energy that occurs when a force causes an object to move?
O Energy
Force
Power
O Work

Answers

Answer:

huh? I think it's Power.....

AWARDING BRAINLIEST
Compared to water, most metals have low specific heats.



Please select the best answer from the choices provided


T

F

Answers

The answer for the question is True

Answer:

it is true

Explanation:

i think so

not really sure

Geologists know the past temperature of the planet based on rock and fossil evidence. Why do you think it is difficult to determine what has caused climate change in the distant past?

Answers

Answer: Greenhouse gases affect how much of the Sun's energy the Earth loses back to space. Predicting global temperature change is hard, even though the principle sounds easy. In simple terms, energy reaches Earth from the Sun.

Explanation:

Question: Why do you think the door opens, even if it is pushing back at equal force?

Answers

You might think that because action-reaction forces are equal and opposite that they cancel. However, action and reaction force pairs don't cancel because they act on different objects. Forces can cancel only if they act on the same object

Pls help I want to give more points to people this is for 100. yes 100 points

Who is number 15 on the Kansas City Chiefs

Answers

Answer:Patrick Mahomes

Explanation:

Answer:

Patrick Lavon Mahomes II

Explanation:

Use appropriate units and signficant figures.

You drive 67.0 mi 35.0º south of east and then drive 40.0 mi 20.0º west of south. What is your displacement?​

Answers

Answer:

D = 54.9 mi, 71.6 South of the East

Explanation:

In this exercise it is asked to find the displacement of the body, one of the easiest tasks is to dispose each displacement in a Cartesian coordinate system, let's use trigonometry

* first displacement d₁ = 67.0 mi

the angle is 35 south of east, measured from the axis x θ = -35

             cos -35 = x₁ / d₁

             sin -35 = y₁ / d₁

            x₁ = d₁ cos (-35)

            y₁ = d₁ sin (-35)

            x₁ = 67 cos 35 = 54.88 mi

            y₁ = -67 sin 35 = -38.43 mi

* second displacement d₂ = 40, mi

the angle is 20 to the west of the south, so mean from the axis x is

           θ = 180+ 20 = 200º

           cos 200 = x₂ / d₂

           sin 200 = y₂ / d₂

           x₂ = d₂ cos 200

           y₂ = d₂ sin 200

           x₂ = 40.0 cos 200 = -37.59 mi

           y₂ = 40.0 sin 200 = -13.68 mi

now we can find the displacement in each exercise

            X_total = x₁ + x₂

            X_total = 54.88 -37.59

            X_total = 17.29 mi

            Y_total = y₁ + y₂

            Y_total = -38.43 -13.68

             Y_total = - 52.11 mi

Let's use the Pythagorean theorem to find the displacement

             D = [tex]\sqrt{x_{total}^2 + y_{total}^2}[/tex]

             D = [tex]\sqrt { 17.29^2 + 52.11^2}[/tex]

             D = 54.9 mi

to find the angle let's use trigonometry

             tan θ = [tex]\frac{y_{total} }{x_{total} }[/tex]

             θ = tan⁺¹ \frac{y_{total} }{x_{total} }

             θ = tan⁻¹ (-52.11 / 17.29)

             θ = -71.6º

the negative sign indicates that it is measured clockwise from the x-axis.

In cardinal coordinates it is 71.6 South of the East

Cynthia forgot to put the fabric softener in the wash. As her socks tumbled in the dryer, they became charged. If a small piece of lint with a charge of +1.25 E - 10 C is attracted to the socks by a force of 3.0 E - 6 N, what is the magnitude of the electric field at this location?

Answers

Answer:

E = 24000 N/C = 24 KN/C

Explanation:

The electric field experienced by a test charge is given by the following formula:

[tex]E = \frac{F}{q}\\\\[/tex]

where,

E = Electric Field = ?

F = Force of attraction = 3 x 10⁻⁶ N

q = Charge on piece of lint = 1.25 x 10⁻¹⁰ C

Therefore, using these values in the equation, we get:

[tex]E = \frac{3\ x\ 10^{-6}\ N}{1.25\ x\ ^{-10}\ C}\\\\[/tex]

E = 24000 N/C = 24 KN/C

why must the lamina swing freely in physics​

Answers

Answer:

Unless the lamina is able to move freely under the influence of gravity, you do not know where to draw that line.

Explanation:

will mark the brainiest
why is water poor conductor of heat but food conductor of electricity? pls explain

Answers

Explanation:

water contains dissolved salts which can create ions

Answer:

Water is a poor conductor of heat: Most of the heat will move in a convection current within the water at the top of the test tube, only a small fraction of it will conduct down to the ice cube.

Water doesn't need to have a large amount of impurities to act as a good conductor of electricity; even a small amount of ions can enable a source of water to conduct electric current. In a nutshell, water is able to conduct electricity due to the dissolved ions and impurities within it.

Grant sprints 50 m to the right with an average velocity of 3.0 m/s how many seconds did grant sprint

Answers

Answer:

The time is 16.667 seconds

Explanation:

Velocity ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it. Then, the average velocity results from the quotient between the change in position and the time taken to effect said change:

[tex]velocity=\frac{distance}{time}[/tex]

In this case:

velocity: 3 m/sdistance: 50 mtime: ?

Replacing:

[tex]3 \frac{m}{s} =\frac{50 m}{time}[/tex]

Solving:

[tex]time =\frac{50 m}{3 \frac{m}{s}}[/tex]

time= 16.667 seconds

The time is 16.667 seconds

Grant sprints 50 m o the right with an average velocity of 3.0 m/s.

How many seconds did Grant sprint?

Answer: 16.667

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