Your are part of a team to help design the atrium of a new building.Your boss, the manager of the project, wants to suspend a 6.2 kg sculpture high over the room by hanging it from the ceiling using thin, clear fishing line (string) so that it will be difficult to see how the sculpture is held up. The only place to fasten the fishing line is to a wooden beam which runs around the edge of the room at the ceiling.The fishing line that she wants to use will hold 10 kg so she suggests attaching two lines to the sculpture to be safe. Each line would come from the opposite side of the ceiling to attach to the hanging sculpture. Her initial design has the first line making an angle of 12.67∘with the ceiling and the second line making an angle of 16.15∘ with the ceiling. She knows you took physics, so she asks you if her design can work.
How much force would the first line exert on the beam holding it up?
Assume that g=9.8 m/s−2.

Answers

Answer 1

Answer:

The answer is below

Explanation:

Given that the mass of the sculpture (m) = 6.2 kg, [tex]\theta_1=12.67^o,\theta_2=16.15^o[/tex]

[tex]Sum\ of\ horizontal\ force\ is\ zero\ hence:\\\\T_1cos(\theta_1)=T_2cos(\theta_2)\\\\T_1=\frac{T_2cos(\theta_2)}{cos(\theta_1)}\\ \\Sum\ of\ vertical\ force\ is\ zero:\\\\T_1sin(\theta_1)+T_2sin(\theta_2)=mg\\\\\frac{T_2cos(\theta_2)}{cos(\theta_1)}sin(\theta_1)+T_2sin(\theta_2)=mg\\\\T_2=\frac{mg}{\frac{cos(\theta_2)}{cos(\theta_1)}sin(\theta_1)+sin\theta_2} \\\\T_2=\frac{6.2*9.81}{\frac{cos(16.15)}{cos(12.67)}sin(12.67)+sin16.15} =123.1\ N\\\\[/tex]

[tex]T_1=\frac{T_2cos(\theta_2)}{cos(\theta_1)}=121.2\ N[/tex]


Related Questions

In what climates would you expect soil to form fastest? Why?

Answers

Answer:

Soils develop faster in warm, moist climates and slowest in cold or arid ones. Rainfall is one of the most important climate factors in soil formation.

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Soil formation occurs more swiftly in warm, humid areas than it does in cold or arid ones.One of the most crucial climatic variables for the formation of soil is rainfall. The breakdown of large soil particles into smaller ones is accelerated by creatures such as bacteria, plants, and animals.

What climates soil to form fastest?

The rate of chemical reactions is accelerated by rising temperature, which also accelerates soil formation. Faster plant and bacterial growth in warmer climates aids in the weathering of materials and the formation of soils.

The formation of soil is another indirect effect of climate on organisms. Weathering is accelerated by precipitation and warm temperatures, which increases the amount of soil development. Rainfall increases the amount of organic matter, lowers pH, accelerates the leaching of basic ions, moves mud, etc.

Therefore, In warm, wet regions, soil development happens more quickly than in cold or arid ones. One of the most crucial climatic variables for the formation of soil is rainfall.

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A shell is fired from a mortar over level terrain. The firing speed is 59 m/s and the mortar is aimed 70° above the horizontal. Find the range of the shell.

Answers

Answer:

228.23m

Explanation:

Vy=59sin70=55.44m/s

x=V0t+1/2at^2

0=55.44t-4.9t^2

t=11.31s

Vx=59cos70=20.18m/s

Range=20.18*11.31=228.23m

I will give you branilest!

Answers

Answer:

easy thats

13

Explanation:

PLEASE HELP
What do safety symbols look like? What do they mean? Provide at least three examples.

Answers

Answer: Safety symbols have a triangle shape, usually the colors are red, orange, and yellow. On the symbol of an element there can be a line going across diagonal They can have symbols that have a person slipping to let you know if someones mopping you may slip. Others may have one that has fire that lets you know fire may happen. And last but not least others can have deers on them to let you deers are on the street/road. Hope this helps.

Explanation:

the wire is 5.20 cm from the charge and carries a current of 68.5 A in a direction opposite to that of the moving charge. Calculate the magnitude of the force on the charge.

Answers

Complete Question

A 6.00-µc charge is moving with a speed of 7.50x10^4 m/s parallel to a very long, straight wire. the wire is 5.20 cm from the charge and carries a current of 68.5 A in a direction opposite to that of the moving charge. Calculate the magnitude of the force on the charge.

Answer:

The value is [tex]F =1.20 *10^{-4} \ N[/tex]

Explanation:

From the question we are told that

     The magnitude of the charge is  [tex]Q = 6.00\muC = 6.00 *10^{-6} \ C[/tex]

      The speed is  [tex]v = 7.50 *10^{4} \ m/s[/tex]

      The distance of the wire from the charge is  [tex]d = 5.20 \ cm = 0.0520 \ m[/tex]

       The current flowing through the wire in the opposite direction to the charge  is  [tex]I _2 = 68.5 \ A[/tex]

  Gnerally the magnitude of force on that charge is mathematically represented as

      [tex]F = qvB[/tex]

Here B is magnetic field which is mathematically represented as

              [tex]B = \frac{\mu_o * I}{2\pi d}[/tex]

Here  [tex]\mu_o[/tex] is the permeability of free space with value  [tex]\mu_o = 4\pi * 10^{-7} N/A^2[/tex]

 So

       [tex]F = qv[\frac{\mu_o * I}{2\pi d}][/tex]

=>     [tex]F = 6.0*10^{-6} * (7.50 *10^{4})[\frac{4\pi * 10^{-7} * 68.5 }{2* 3.142 * 0.0520 }][/tex]      

=>    [tex]F =1.20 *10^{-4} \ N[/tex]

 

A car is moving with a constant speed of 70.0 mi/h (31.2 m/s). If its wheels have a radius of 24.1 cm, what is their angular speed

Answers

Answer:

129.46rad/s

Explanation:

Given

Linear speed v = 31.2m/s

Radius of wheel = 24.1cm = 0.241m

The formula for calculating the angular speed in terms of linear speed is expressed as;

v = wr

w is the angular velocity

r is the radius

v is the linear velocity

From the formula:

w = v/r

Substitute

w = 31.2/0.241

w = 129.46rad/s

Hence the angular speed is 129.46rad/s

In the periodic table, the number of valence electrons in each element decreases from left to right across each period.
Select one:
O True
O False

Answers

That’s true because it decreased from left to right across each. So it’s the truth

To describe a position in more than one
dimension, you must use more than one______

Answers

Answer:

To describe a position in more than one dimension you must use more than one reference point. The reference point is a basis for evaluation, assessment or comparison; a criterion.

Explanation:

Hope this answer help :D

Answer:

reference point

Explanation:

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

How do wetlands reduce flooding and erosion? (Site 1)

Answers

Answer:

Wetlands reduce flooding and erosion by filtering water.

Explanation:

Answer:

Wetlands reduce flooding and erosion by filtering water.

Explanation:

How far from the home did Karen and her mother travel during the first hour of the trip?

Answers

what’s the context of this

Answer:

none cuz she was too bus yelling at the cashier at the gas station

how does 'g' at a point vary with the distance from the centre of earth?​

Answers

Answer:

No gravity

Explanation:

because their is not gravity on earth and also close to the sun but not as close as mecury

w
х
2. Identify the correct statement about the diagrams above.
O Y represents a mixture and Z represents an element.
O Y represents an compund and X represents a pure substance.
O X represents a mixture and W represents a pure substance
O W represents an element and Y represents a mixture.

Answers

Answer: W represents an element Y represents a mixture

Explanation: I just took a quiz on this and got it right. Good Luck

A man with mass 60 kg rides a Ferris wheel that has a radius of 20 m. The man is sitting on a scale. If the man's translational (linear) speed during the ride is a constant 5 m/s, what would the scale read at top of the ride

Answers

Answer:

75N

Explanation:

in this problem we are expected to solve for the force, and this force, is the centripetal force exerted on the man/

we know that the expression for the centripetal force is given as

F=mv^2/r

given data

mass, m=60kg

radius, r= 20m

velocity, v= 5m/s

Substituting into the expression we have

F=60*5^2/20

F=60*25/20

F=1500/20

F=75N

The reading at the top of the ride will be 75N

Which of the following are examples of
molecules? Check all that apply.
two carbon atoms bonded to each other
a carbon atom
a chain of one hundred carbon atoms bonded
to one another
a carbon atom bonded to an oxygen atom

Answers

Answer:

two carbon atoms bonded to each other

a chain of one hundred carbon atoms bonded to one another

a carbon atom bonded to an oxygen atom

two carbon atoms bonded to each other a carbon atom, a chain of one hundred carbon atoms bonded to one another, a carbon atom bonded to an oxygen atom all these are examples of molecules, therefore all the given options are the correct answer

What is a molecule?

The smallest component of a substance that still has its content and characteristics is called a molecule. It is constructed of two or more atoms connected by chemical bonds. Moles are the foundation of chemistry. Molecules are designated by their elemental symbol and a subscript indicating their atom count.

Atoms are the fundamental unit of an element. They consist of a nucleus and surrounding electrons. When an atom has an incomplete electron shell, it is said to have valence electrons. When two or more atoms come together to share outer shell valence electrons, a covalent bond is formed,

Since molecules include two carbon atoms bonded to each other, one carbon atom, a chain of hundred carbon atoms bonded to one another, and a carbon atom bonded to an oxygen atom, all of the suggested answers are correct.

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What is the final velocity if you have an initial velocity of 4 m/s with an acceleration of 2 m/s2 over 5 second interval interval

Answers

Answer:

14m/s

Explanation:

when electric and _______ fields both exist, it is called an electromagentic

Answers

Answer:

the answer is magnetic

Object has a mass of 35g and a density of 5g/cm3.
What is the volume? *

Answers

Answer:

The answer is 7.0 mL

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

[tex]volume = \frac{mass}{density} \\[/tex]

From the question

mass = 35 g

volume = 5 g/cm³

We have

[tex]volume = \frac{35}{5} \\ [/tex]

We have the final answer as

7.0 mL

Hope this helps you

Occupants of cars hit from behind, even at low speed, often suffer serious neck injury from whiplash. During a low‑spee rear‑end collision, a person's head suddenly pivots about the base of the neck through a 50∘ angle, a motion that lasts 220 ms.The distance from the base of the neck to the center of the head is typically about 20 cm, and the head normally comprises about 6.0% of body weight.Model the motion of the head as having a uniform speed over the course of its pivot. Compute answers to two significant figures.1. What is the acceleration ????centacent of the head during the collision?2. What force ????F does the neck exert on the head of a 65 kg65 kg person in the collision? Neglect the force of gravity on the head, and report the answer in units of both newtons and pounds.3. Would headrests mounted to the backs of the car seats help protect against whiplash? Why or why not?a. Yes. A headrest applies an upward force on the head, along the direction of the neck, that cancels the downward force applied by the neck.b. Yes. A headrest ensures that both the head and the body experience the same forward force at roughly the same time.c. No. A headrest applies a mostly horizontal force to the head, so does not affect the mostly vertical force applied by the neck during whiplash.d. No. A headrest reduces the angle traversed by the head, not the speed of the head relative to the body, thus it does not affect the force that the neck applies to the head.

Answers

Answer:

a) a= 19 m/s2, b ) F = F = 38 N

c)  the correct one is B

Explanation:

1) To solve this exercise, let's use the concept of torque, let's start by looking for the mass of the mass of the head, which is 65 of 65 kg

         m= 0.06  65 = 3.9 kg

torque is defined

        τ = F x R

the bold indicate vectors

        τ = F R sin θ

the force is the weight of the head and the distance R = 0.20 m

        τ = mg R sin θ

        τ = 3.9 9.8 0.2 sin 50

        τ = 5.86 N m

Newton's second law expression for rotational motion is

         τ = I α

In general, the head is approximated by a sphere, so the moment of foolishness with respect to the base of the neck (turning point) using the parallel axis theorem is

         I = I_sphere + m d²

Neck height data is not indicated, so we will assume that it is zero (d = 0)

         I = 2/5 m R²

angular and linear acceleration are related

        a = α R

        α = a / R

let's replace

         τ = 2/5 mR²  (a / R)

        a = 5/2 τ / mR

         

let's calculate

         a = 5/2 5.86 / (3.9 0.2)

         a = 18.8 m / s²

         a= 19 m/s²

2) as the neck and the head are related, the forces are action and reaction, therefore the neck force is

         F = m g

         F = 3.9 9.8 = 38.2 N

          F = 38 N

3) He asks us about the efficiency of the headrest, after reviewing the different alternatives, the correct one is B

 

Yes. A headrest ensures that both the head and the body experience the same forward force at approximately the same time.

It takes 25.7 N to push a crate
at a constant speed across flat
ground where uk
= 0.238.
What is the normal force acting
on the crate?
(Unit = N)

Answers

Answer:

108 N

Explanation:

Divide the force by uk to get the normal force

(25.7)/(0.238) = 107.98 N = 108 N

Answer:

107

Explanation:

A planned high-speed train between Houston and Dallas will travel a distance of 386 kilometers in 5.40 × 103 seconds. What is the average speed of this train?

Answers

The answer to your question is


556.2

What are four metals other than iron that can be made to exhibit magnetic properties? Fill in the blank. Every magnet has _______ unlike poles. The _______ within a magnet lies between the north and south poles. If the north pole of a bar magnet is brought near the _______ pole of another magnet, the two magnets will repel one another. A material that’s attracted by a magnet but doesn’t necessarily become a magnet itself is called a/an _______ material.

Answers

Answer:

Four metals other than iron that can be made to exhibit magnetic properties are nickel, cobalt, manganese, and chromium.

two

neutral region

north

magnetic

Explanation:

PennFoster

The four metals other than iron that can be made to exhibit magnetic properties are:

NickelCobaltManganeseChromium.

Furthermore, the words which can be used to accurately complete the sentences below are:

Two Neutral region North Magnetic

The magnet has two unlike poles and in the neutral region, there is the South and North poles.

The North and South poles repel each other and a magnet can attract any material which contains iron materials.

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A race car exerts 18,344 N while the car travels at an acceleration of 92.54 m/s2. What is the mass of the car? (Use the formula m=F/a)

Answers

the answer is 198.23

Force(f) = 18344 N

Acceleration(a) = 92.54 m/s²

we know that m=f/a

m=18344/92.54</p><p>

ma 198.23 kg

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I am so close to wanting to drop out of physics


I'm in college and idk why physics has to be this tough. I took physics back in high school, and it was super easy & I had a really nice teacher.


But now that I'm in college, my professor does no help and literally 60 people dropped out of his class bc his class is hard. I am going to fail my midterm this week. idk what to do and Im sick and tired but its a requirement.

I literally wanna drop out of college bc of physics

Answers

Answer: Dont drop out i know school can be a headache but if you try you can accomplished anything.

Explanation:

Answer:

college vs high school.

Explanation:

hello! first, i see the comparison between college and highschool. remember that college professors are much more strict. they dont give participation awards or guide you. this is the time to push yourself! your so close to your goal, why give up from one class? you got this! every question you get wrong or right is a step closer to understanding it better. dont give up. i hope i could help!

One end of a horizontal string is attached to a vibrating blade, and the other end passes over a pulley as in Figure (a). A sphere of mass 1.00 kg hangs on the end of the string. The string is vibrating in its second harmonic. A container of water is raised under the sphere so that the sphere is completely submerged. In this configuration, the string vibrates in its second harmonic (or the third normal mode of oscillation) as shown in Figure (b). What is the radius of the sphere?

Answers

Answer:

when it weighs 2kg it is 7.38

Explanation:

hope this helps

An area that has been re-colonized after an environmental disturbance has undergone ____________. Group of answer choices Stratification Zonation Primary Succession Secondary Succession

Answers

Answer:

Secondary succession

Explanation:

Secondary succession is one of the two major types of ecological successions (the other being primary succession). Succession, generally, is characterized by the series of changes that occurs to an ecological community within a period of time.

However, secondary succession occurs when an already colonized area (with soil formed) becomes disturbed by environmental disasters or occurrences, leading to the recolonization of the area by certain organisms. Therefore, an area that has been re-colonized after an environmental disturbance has undergone SECONDARY SUCCESSION.

You walk 8 blocks West, 2 blocks South, 9 blocks East, 3 blocks North, 4 blocks South. What
is the displacement between your starting and endpoints? What is the angle of displacement?
someone pls help me it’s important and i don’t know how to answer it!!

Answers

Answer:

...............,........................

wavelength = 5.4 cm and frequency = 9.4 Hz
What is the speed

Answers

v = f x λ = 9.4 x 0.054 = 0.51 m/s

The cheetah, the fastest land animal, can sprint at 30 m/s. Could the cheetah get a speeding
ticket on a highway where the speed limit is 55 mph?

Answers

Answer:

#1, cheetas can't go 30 miles per second. #2 no

Explanation:

No because animals can't get tickets.

Answer:

yes

Explanation:

it would be going 67.108 mph,


A jet must reach a velocity of 75 m/s for takeoff. If the runway is
2100 meters long, what must the constant acceleration be?

Answers

Answer:

[tex]a=1.33\ m/s^2[/tex]

Explanation:

Given that,

Initialy, the jet is at rest, u = 0

Final velocity of the jet, v = 75 m/s

Distance, d = 2100 m

We need to find the acceleration of the jet. It is based on the concept of equation of kinematics. Using third equation of motion, w get :

[tex]v^2-u^2=2ad[/tex]

a is acceleration

[tex]75^2=2a\times 2100\\\\a=\dfrac{75^2}{2\times 2100}\\\\a=1.33\ m/s^2[/tex]

So, the acceleration of the jet is [tex]1.33\ m/s^2[/tex].

all the elements are found on earth, where were they formed?
1. in the sun
2. in ancient stars
3. in earths core
4. in the gas cloud that formed earth

Answers

Answer:

in the Earths core

Explanation:

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