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

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 term describes the wave phenomenon in the image

Answers

Answer:  (Next time put the Image but I know what u talkin bout)

wave changes its path from its initial direction so this phenomenon is known as Refraction of wave

Explanation:

When wave travels from one medium to other medium the due to change in the speed of the wave propagation it deviates from its initial path.

The deviation of the wave from its initial path is known as refraction of wave

Here we can see that wave incident on medium 1 with some angle with the boundary

Then it enters into other medium and then travels in other direction

So here wave changes its path from its initial direction so this phenomenon is known as Refraction of wave

In which circuit will the bulb or bulbs glow brightest?
a-A simple circuit with one bulb and one battery
b-A simple circuit with one bulb and two batteries
C-A simple circuit with two bulbs and one battery

Answers

Answer:

B - a simple circuit with one bulb and two batteries.

The circuit that would glow brightest is b - A simple circuit with one bulb and two batteries

Electric circuit

This is the path for transmitting current. It usually consists of an electrical energy source and an electrical load.

In any circuit, the electrical power available is determined by the number of batteries available (energy source) and thus the current.

Ohm's law

Since we know according to Ohm's law V = iR where

V = voltage, i = current and R = load.

So, making i subject of the formula, we have i = V/R .

So, i ∝ 1/R this shows that the current is inversely proportional to the load.

Circuit that would glow brightest

a simple circuit with more current and less load would glow brightest. So, having a simple circuit with two batteries increases the current in the circuit and having only one bulb means that there is less load in the circuit. Thus, the circuit with one bulb and two batteries will glow brightest.

So, the circuit that would glow brightest is b - A simple circuit with one bulb and two batteries

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The diagram shows a skydiver at different points of her jump. At what point would her
acceleration be greatest?
A.
B.
C.
D.

Answers

i’m pretty sure it’s B! :)

When humans pollute lakes, rivers, and streams,

Answers

Answer:

when waterways are polluted it affects all forms of life in the area - including us

expression:

for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!

hope that helps !

please help me out on this...




Only dogs
Only reptiles
Both cats and dogs
Both amphibians and reptiles

Answers

ues guys please help him
both amphibians and reptiles!

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:

Which are parts of the middle ear? Check all that apply.

a) anvil
b) ear canal
c) eardrum
d) hammer
e) stirrup
f) auricle

Answers

Answer:

middle ear has three bones! the hammer, anvil, stirrup, and ear drum

Explanation:

The gravitational force between two bodies is 250N . What will the new force be if one of the masses is tripled?

Answers

If one of the masses is tripled, then their product is tripled, and the force between them is tripled.  The new force is 750N .

A construction worker transfers 6000000 J in a n 8 hour day of work. What is their average power output? just need a quick answer with the working, thanks

Answers

Answer:

208.33 W

Explanation:

Using,

P = W/t.......................... Equation 1

P = Average power output, W = total work, t = total time.

From the question,

Given: W = 6000000 J, t = 8 hours = (8×60×60) = 28800 s

Substitute these values into equation 1

P = 6000000/28800

P = 208.33 W.

Hence the average power output is 208.33 W

Use the information and picture to answer the following question.

A student creates a poster with two models that show magnified views of the molecular motion in a solid and a liquid.

image

The student forgets to label the models with phases.

Answering which question would BEST help identify which model is in the solid phase?

A.
Which model shows the molecules vibrating in a fixed arrangement?

B.
Which model shows the molecules bouncing around each other?

C.
Which model shows the molecules sliding past each other?

D.
Which model shows the molecules spreading out at different angles?

Answers

Answer:

The answer is A

Explanation:

Solids vibrate in a fixed arrangiment, so to find which is a solid look for the one that vibrates in a fixed arrangiment.

According to the forces of attraction, the question which would best identify model is in solid phase is which model shows the molecules vibrating in a fixed arrangement?

What are forces of attraction?

Forces of attraction  is a force by which atoms in a molecule  combine. it is basically an attractive force in nature.  It can act between an ion  and an atom as well.It varies for different  states  of matter that is solids, liquids and gases.

The forces of attraction are maximum in solids as  the molecules present in solid are tightly held while it is minimum in gases  as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.

The physical properties such as melting point, boiling point, density  are all dependent on forces of attraction which exists in the substances.

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#SPJ2

How does a physicist define work? a force applied for a certain length of time a force applied over a distance power applied for a certain length of time power applied to something over a distance

Answers

Answer:

Work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement. ... To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd.

Explanation:

Definition of work in physics

A measure of energy expended in moving an object; most commonly, force times distance is work.

An isloated point charge produce an electric field with magnitude E at a point 2 m away. At a point 1 m from the charge magnitude of the charge is .. A. E B. 2E C. 4E D. E/2

Answers

Answer:

the correct answer is C,      E’= 4E

Explanation:

In this exercise you are asked to calculate the electric field at a given point

         E = [tex]k \frac{q}{r^2}[/tex]

indicates that the field is E for r = 2m

         E = [tex]\frac{ k q}{4}[/tex]                  (1)

the field is requested for a distance r = 1 m

         E ’= k \frac{q}{r'^2}

         E ’= k q / 1

 

from equation 1

         4E = k q

       

we substitute

        E’= 4E

so the correct answer is C

HELP FAST

How did the lab activities help you answer the lesson question, "How do atmospheric conditions influence weather patterns?" What did you learn from conducting this lab?

Answers

Answer:

not enough

Explanation:

information given

Answer:

Sample Response: In the lab, I discovered the air pressure, air temperature, and relative humidity conditions that create snow, rain, thunderstorms, fog, and clear skies. I learned that low-pressure areas usually experience snowy, rainy, and stormy weather, and that high-pressure areas usually experience either foggy or sunny weather. Knowing how these atmospheric conditions influence weather help weather forecasters predict weather patterns through maps and other information.

(Sorry this was not fast enough )

A car drives 30 m north in 1.5 seconds and drives 60 east in 2 seconds. What is the average velocity

Answers

Answer:

19.2 m/s

Explanation:

From the question,

Velocity = displacement/time = d/t

V = d/t.................................. Equation 1

Average velocity = Total displacement/ total time

Total dispalcement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

Substitute these value into equation 1

V = 67.08/3.5

V = 19.2 m/s.

Hence the average velocity is 19.2 m/s

The parameter given for the car during transit is 30 m north in 1.5 seconds and drives 60 east in 2 seconds, we want to find the average velocity.

average velocity is 19.2 m/s

Solution

The expression for Average velocity is

Average velocity = Total Displacement/ Total time Taken...............Eqn 1

Total Displacement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

From the Equation 1

Average Velocity = 67.08/3.5

V = 19.2 m/s.

Therefore, the average velocity is 19.2 m/s

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What happens to the force between two charges when each charge is doubled and the distance between them is 1/4 its original
magnitude?

Answers

Answer:

F' = 64 F

Explanation:

The electric force between charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

Where

q₁ and q₂ are charges

r is the distance between charges

When  each charge is doubled and the distance between them is 1/4 its original magnitude such that,

q₁' = 2q₁, q₂' = 2q₂ and r' = (r/4)

New force,

[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]

Apply new values,

[tex]F'=\dfrac{k\times 2q_1\times 2q_2}{(\dfrac{r}{4})^2}\\\\=\dfrac{k\times 4q_1q_2}{\dfrac{r^2}{16}}\\\\=64\times \dfrac{kq_1q_2}{r^2}\\\\=64F[/tex]

So, the new force becomes 64 times the initial force.

work and power!

______is the amount of work done over time a. Efficiency C. Power b. Newton d. Horsepower​

Answers

Answer:

The work done in a unit of time is C. Power.

Explanation:

Hope this helps

If a force of 3000 N can move a crate at an acceleration of 9.2 m/s2, what is the mass of the object?

Answers

Answer:

326 kg

Explanation:

m=f/a

3000/9.2=326 kg

Which describes the innermost layer of Earth?​

Answers

Answer and Explanation:Option A->The innermost layer of the earth is known as the core. It is divided into inner core and outer core. It comprises of a high concentration of nickel and iron.

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]

HELP YALL!!

Which nucleus completes the following equation?

Answers

Answer:

B

Explanation:

Chlorine institute

16+1=17

CI has 17 in the bottom.

Answer:C

Explanation:

The Doppler Effect for sound occurs when:
a) the speed of the wave changes
b) the height of the wave changes
c) the distance between the waves change
d)the moving object decreases in speed

Answers

The answer should be A because it’s frequency of a sound per second

An object is placed on a surface. A student tries to apply various combinations of forces on the object. Which pair of forces will not move the object?

Answers

Answer:

See Explanation

Explanation:

The question is incomplete, as there are no diagrams or options to provide more information to the question.

The general explanation is as follows:

For the object not to move

(1): The forces acting on the object must opposite each other. i.e. if force A acts at the right (or positive direction), force B will act at the left (or negative direction).

(2) The two forces must be equal.

So, for instance:

If the pair of forces are 5N and 5N in opposite directions, the object wil not move.

However, if one of the forces is greater, the object will move towards the direction of the greater force.

Why is physics used to study stars?
A. Stars are interesting.
O B. Stars are circular.
O C. Stars are useful.
O D. Stars are made of matter.

Answers

Answer:

stars are made of matter

Observe: Click Reset. Turn on Show velocity vector and Show velocity components. Set vinitial to 50 m/s and set θ to 45.0 degrees. Click Play. Focus on the blue and red arrows that represent the vertical and horizontal components of the golf ball’s velocity. As the ball flies through the air, what do you notice about the blue (vertical) arrow?

Answers

Answer:

v_y = v_{oy} - g t

where the upward direction is positive, so the arrow represents this speed (blue) must decrease, reach zero and grow in a negative direction as time progresses

Explanation:

In this exercise you are asked to observe the change in velocity in a projectile launch.

If we assume that the friction force is small, the velocity in the x-axis must be constant

         vₓ = v₀ₓ

Therefore, the arrow (red) that represents this movement must not change in magnitude.

In the direction of the y axis, the acceleration of gravity is acting, so the magnitude of the velocity in this axis changes

         v_y = v_{oy} - g t

where the upward direction is positive, so the arrow represents this speed (blue) must decrease, reach zero and grow in a negative direction as time progresses

Read the article Watering Livestock with Renewable Energy.

Why does it make sense for ranchers to use renewable energy to pump water?

Animals do not need water during the summer.
In most of the United States, there is not enough wind to run pumping systems.
Solar energy is strongest in the winter, when water is needed for animals and crops.
Wind and solar energy help save money and reduce air pollution.

Answers

Answer:

D. Wind and solar energy help save money and reduce air pollution.

Explanation:

Answer:

d

Explanation:

edge 2021

A hot iron ball of mass 200 g is cooled to a temperature of 22°C from 100°C. How much heat was
lost in the process?
(Ciron = 0.444 J/g°C)
Q =mcAT

Answers

Answer:

Q= -6900 J

Explanation:

use the formula Q=mC(T_2 - T_1) and sub in givens

Q=mC(T_2 - T_1)

Q= (200 g)(0.444 J/g°C)(22-100)

Q= -6900 J

The negative sign means heat is lost, which agrees with the decrease in temperature

The public is not yet able to purchase cars powered by hydrogen fuel cells because engineers have to determine how
the cars perform based on which scenario?
O on racetracks
O in real-world conditions
O in flooded environments
O on closed courses
Next
Submit
Save and Exit
return

Answers

Probably in real world conditions

Answer:

B on EDGE

Explanation:

What part of the atom takes up most of the atoms space?

The atom

The electron cloud

The nucleus

The bottom part

Answers

Answer:

The electrons

Explanation:

the electron cloud because because because because because

The four balls in the diagram below are made of the same material are sold

Why is the force of gravity between the balls in pair 2 greater than the force of gravity between the balls in pair 1

The balls in pair 2 are closer together than the balls in part 1

The balls in pair 2 have a grater mass than the balls in pair 1

The balls in pair 1 have more rolling friction than the balls in pair 2

The balls in pair 2 have more magnetic force than the balls in pair 2

Answers

Answer:

The balls in Pair 2 have a greater mass than the balls in pair 1.

Explanation:

I took the test.

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