a 6.00-kg ornament is held at rest by two light wires that form 30° angles with the vertical, as shown in the figure. an external force of magnitude f acts vertically downward on the ornament. the tension exerted by each of the two wires is denoted by t. a free-body diagram, showing the four forces that act on the box, is shown in the figure. if the magnitude of force f is 410 n, what is the magnitude of the tension t?

Answers

Answer 1

The equilibrium condition allows finding the result for the tension of the cable that supports the block is:

The tension is:  T₁ = 270.66 N

Newton's second law gives a relationship between force, mass and the acceleration of bodies, when the acceleration is zero it is called the equilibrium condition.

A free-body diagram of the forces is shown in the attachment.

Let's write the equilibrium equation for the vertical axis.

        2 [tex]T_1_y[/tex] - f - W = 0

          2 [tex]T_1_y[/tex]  = W + f

Let's use trigonometry to find the tension, as the angle indicates that it is relative to the vertical.

        cos 30 = [tex]\frac{T_1_y}{T_1}[/tex]  

        [tex]T_1_y[/tex]  = T1 cos 30

     

We substitute.

        2T₁ cos 30 = W + f

         T₁ = m g + f / 2 cos 30

         T₁ = [tex]\frac{6 \ 9.8 + 410}{2 \ cos 30}[/tex]  

         T₁ = 270.66 N

In conclusion using the equilibrium condition we can find the result for the tension of the cable that supports en bloc is:

  The tension is:  270.66 N

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A 6.00-kg Ornament Is Held At Rest By Two Light Wires That Form 30 Angles With The Vertical, As Shown

Related Questions

A spacecraft orbiting a planet at an altitude of 120 km releases a satellite that falls towards the surface. The planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km. What is the acceleration of the satellite?

Answers

Answer:

Consider a satellite with mass Msat orbiting a central body with a mass of mass MCentral. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the net centripetal force acting upon this orbiting satellite is given by the relationship

Fnet = ( Msat • v2 ) / R

Explanation:

The acceleration of the satellite released from a spacecraft orbiting a planet at an altitude of 120 km and the planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km is 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex].

What is acceleration?

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. A vector quantity, acceleration, is something that has both a magnitude and a direction. Velocity is a vector quantity as well.

Given:

The altitude of the spacecraft, h = 120 km,

The mass of the planet, m = [tex]5.2 * 10^{23}[/tex] kg,

The radius of the planet, r = 2800 km.

Calculate the acceleration by the formula given below,

A = [tex]G* m /r^2[/tex]

Here, A is the acceleration, G is the gravitational constant,

Substitute the values,

A = 6.674 * [tex]10^{-11}[/tex] *5.2 * [tex]10^{23}[/tex] / [tex]2800^2[/tex]

A = 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex]

Therefore, the acceleration of the satellite is 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex]

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The length of a rectangle plus its width is 52 cm. The area is 672 square cm. What are the length and width of the rectangle?

Answers

Answer:

technically nfrbhrbbrbbf but also the skier can hurt himself if he speeds up

Explanation:

need points so plz like it

Answer:

Lenght= 12.92cm

Width= 52cm

an atom with an overall negative charge is called?

Answers

Answer:

ANION is the answer

how did the discovery of eris force astronomers to reconsider the definition of planet?

Answers

Answer:

Explanation:

They had demoted Pluto on the basis of the discovery of Eris. They also discovered that Eris had a moon. It was thought to be much bigger than Pluto. That turned out not to be true. So having accepted Eris as a planet, they had to consider carefully what to do about Pluto. It has a gravitational constant of 0.82 m/s^2 which is 8.4% of that of our gravitational pull. and slightly more than Pluto.

Later data showed that these two  objects in space were more like twins and that's what shook up the definition of a planet. You can't demote one and not the other.

what can be respresented by a force arrow weight or mass

Answers

Answer:

Force arrows are used to represent both the magnitude and direction of forces. The length of the arrow corresponds to the magnitude of the force, with longer arrows indicating forces with larger magnitudes. The direction of the arrow corresponds to the actual direction that the force is being exerted. Force arrows are used by scientists and engineers to predict the motion of an object based on the forces that are applied to it.

Let's go back to Amil and his box for a moment. To represent the force that he is exerting on the box, we can draw the box and then show the force using a force arrow, like this:

Explanation:

How would our force arrow change if he pushed the box with twice as much force? Because the magnitude of the force is doubled, the length of the force arrow should also be doubled.

Now, what if he didn't push directly to the right, but instead his arms made a 30-degree angle with the ground? In that case, the direction of the force arrow needs to change to show the direction in which the force is applied.

three energy changes that result in movements accuring in your body as sit down reading book?

Answers

Gravitational to Kinetic to Chemical

An airplane during departure has a constant acceleration of 3 m / s².

a. What is the speed that the plane reaches in 4 s?
b. If the plane passes at a flight point of
at a speed of 20 m / s, what is the speed 8 s later?​

Answers

Constant acceleration of plane = 3m/s²

a) Speed of the plane after 4s

Acceleration = speed/time

3m/s² = speed/4s

S = 12m/s

The speed of the plane after 4s is 12m/s.

b) Flight point will be termed as the point the plane got initial speed, u, 20m/s

Find speed after 8s, v

a = 3m/s²

from,

a = v - u

t

3 = v - 20

8

24 = v - 20

v = 44m/s

After 8s the plane would've 44m/s speed.

A drag racer starts at rest and reaches a speed of 386.0 km/h with an average acceleration of 16.5 m/s2. How long does this acceleration take?

Answers

Answer:

about 16.5 by-

wait DO UR OWN MATH lol

Explanation:

car starts from rest and reaches a velocity of 10 m/s in 10s a) Draw the v against t graph for the motion of the car? b) From the graph find: i) the slope of the graph. II) Area of the v against t graph bounded by the slope, on x-axis. c) What are the slope and area of v against t graph equal to respectively?​

Answers

Explanation:

여기 당신의 대답이 있습니다. 즐겨 . 팔로우하고 브레인리스트로 표시해주세요

Answer:

The above answer is correct too, keep busy

Friction due to fluid is also called ___________

Answers

Friction due to fluid is also called DRAG

Answer:

Hey mate.....

Explanation:

This is ur answer....

Friction due to fluid is also called drag.

Hope it helps

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physics



is my choice correct?




correct me pls if not


Answers

Answer:

correct

Explanation:

if wrong sorry btw have a great day

Which is true for every atom of an element?

A.
It can be seen with a magnifying glass.

B.
It is joined together with another atom.

C.
It has mass and volume.

D.
It is weightless.

Answers

Answer:

A

Explanation:

Every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.

What is the matter?

Anything which has mass to keep the same when comparing the hardness of the solid and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

As given in the problem statement we have to find the true statement from the given options that is true for every atom of an element,

The size of an atom of an element is a very small order of magnitude so it can not be seen with a magnifying glass, therefore, option A is not the correct response.

Thus, every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.

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springs can stretch; so can different materials, including

Answers

…………….ur mom…………. ‍♀️

Can somebody explain to me what’s 1/d^2 in electric force? And how do I graph it versus a force?

Answers

Answer:

so basically what you gotta do is, and then you can do that but you shouldn't do this

part 3 of 3
---
What is the velocity when t = 8 s?
Answer in units of m/s.
Answer in units of m/s

Answers

Answer:

1 m/s

(i think, *nervous sweat*)

Explanation:

We can tell this by looking at the graph. When t = 8, we will look at the time. We see that when the x (time) is 8, the velocity is 1 m/s.

How is temperature related to the physical change of a substance

Answers

Answer:

Temperature is a measure of the kinetic energy of particles in a substance. As temperature increases, the atoms or molecules in a substance gain energy. As temperature decreases, the particles lose energy. A change in the energy of particles causes a change in their arrangement. A change in the arrangement of particles can lead to a physical change.

Explanation:

Brainliest pls

an empty boat floats in water with 10% of its volume submerged. and when it is loaded with 1200kg , the volume submerged will increase to 70% of the total volume . calculate the mass of the empty boat

Answers

Let volume of empty boat be = 100% = 1V

and mass of boat be M

In water 10%, 0.1V of the volume is submerged.

Mass, m of 1200kg increases the submerging from 10%, 0.1V to 70%, 0.7V

M leads to 0.1V boat submerging

boat submerging.

M + 1200kg leads to 0.7V boat submerging.

This is 60%, 0.6 V increase

By comparison

(M+1200kg) * 0.1V = 0.7V * M

0.1M + 120kg = 0.7M

120kg = 0.7M - 0.1M

120kg = 0.6M

M = (120/0.6)kg

M = 200kg.

The mass of the boat is 200kg.

which layer of the atmosphere has no definite outer limit?

Answers

To solve this, we must be knowing each and everything related to atmosphere. Therefore, thermosphere is the layer of the atmosphere has no definite outer limit.

What is atmosphere?

The atmosphere is more than simply the beautiful sky above. The atmosphere is made up of numerous levels of gases that surround the planet.

The word "atmo," which meaning vapor, smoke, or fog in Greek, is the source of the atmosphere's name. "Sphere" comes from the Greek word sphaira, which meaning ball. The term "atmosphere" refers to a vapor ball. Thermosphere is the layer of the atmosphere has no definite outer limit. The thermosphere is located between 53 miles (85 kilometers) and 375 mile (600 kilometers).

Therefore, thermosphere is the layer of the atmosphere has no definite outer limit.

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The exosphere is the layer of the atmosphere that has no clear outer limit. The exosphere is the Earth's atmosphere's outermost layer, extending from the top of the thermosphere to the edge of space.

The exosphere, unlike the other layers of the atmosphere, gradually transitions into the vacuum of outer space with no clearly defined border.

The density and spread out of gas molecules in the exosphere are exceedingly low.

This area is made up mostly of relatively light gases like hydrogen and helium, and it is where satellites and other spacecraft circle the Earth.

Thus, the progressive reduction in density as the atmosphere merges into space accounts for the lack of a well-defined outer boundary.

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Max ran 100 feet in 10 seconds.
Molly ran 60 feet in 5 seconds.

1. Who ran farther, Max or Molly?

2. Who ran faster? Explain.

Answers

Answer:

for max :

100 feet in 10 secs

for molly :

60 feet in 5 secs = 120 feet in 10 secs

so, molly ran farther in the same time interval i.e. covered 120 feet where as Max covered 100 feet

Explanation:

brainliest plz

Answer:

1 no Max

2 no Molly

Explanation:

because if molly can run 60 feet in 5 second he can run 120 feet in 10 second

write two examples of machine which changes the direction of force​

Answers

Answer:

Washign machine and swingset

Explanation:

.)
What would the TABLE pane corresponding to the 2D MAP shown below look like?
latitude
30.2°
30°N
29.8°N
29.6°N
longitude
90.40
90.2°
90°W
89.8°
longitude : 89.6 W

Answers

Answer:

the correct answer is A the first map

trust i got a 100

Explanation:

Answers are the following:-

1. 33°N latitude, 112°W longitude ⇒ Phoenix, Arizona

2. 35°N latitude, 78°W longitude ⇒Raleigh, North Carolina

3. 46°N latitude, 96°W longitude ⇒ Fargo, North Dakota

4. 45°N latitude, 122°W longitude ⇒Portland, Oregon

5. 29°N latitude, 95°W longitude ⇒Houston, Texas

6. 43°N latitude, 79°W longitude ⇒Niagara Falls, New York

7. 25°N latitude, 80°W longitude ⇒ Miami, Florida

What is a longitude?

The term Longitude has been refered as the horizontal lines that are the measurement east or west of the prime meridian. Longitude are the imaginary lines that divide the Earth. Longitudes are also called the meridians, which run from north to south pole to pole but they measure the distance east or west.

The hypothesis that the species diversity is greater at lower latitudes than higher latitudes because low-latitude habitats are older would be supported if speciation rates were: the same at high and low latitudes.

Species diversity can be defined as the number of species, present in an area or the ecosystem. More are the number of species, more diverse is the area is. The richness and functionality of an ecosystem is estimated through its diversity.

Therefore,longitudes are the horizontal lines which divide the Earth.

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Given a table of values for the exponential function f(x) and a description of the
transformation for the function g(x)
, fill out the table of values based on the original
points for glx), the transformed function.
- 1
0
2
16
3
Reflect over
0
2
4
0-4, -1, -12
1
16
.
64
01, 1, 4, 16, 64
,
4, 1, , 162
0-1, -1, –4, – 16, – 64

Answers

Answer:its D

Explanation:

i did the test and got it right

The transformation function of the given exponential function is -1/4, -1, -4, -16, -64. Hence option D is correct.

What is an exponential function?

An exponential function is a mathematical relation to find exponential growth or decay for the given data. It represents the constant change in independent variables and gives the same proportional change.

The exponential function is expressed as f(x) = exp (x) or eˣ where x is variable and e is constant which is called the base of the equation.  

From the given,

the exponential function f(x) = 1/4, 1,4,16,64

The transformation function G(x) is the inverse of the exponential function and is equal to -1/4,-1, -4,-16,-64.

Hence, the ideal solution is option D.

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What combination for distance and mass gives you the STRONGEST or LARGEST force?

Answers

Answer:Anything that has mass also has gravity. Objects with more mass have more gravity. Gravity also gets weaker with distance. So, the closer objects are to each other, the stronger their gravitational pull is.

Explanation:

HELP PLEASE!!!! 20 POINTS

Answers

It c Ven dos veces al día antes del ascensor.

Answer:

You are correct the answer is D

Brainliest will be appreciated thank you!

The horizontal rows on the periodic table are called

Answers

Answer:

periods or series

Explanation:

The elements are arranged in seven horizontal rows, called periods or series, and 18 vertical columns, called groups. Elements in the periodic table are organized according to their properties.

brailiest pls

explain why you cant see our reflection better in a piece of metal

Answers

Answer:

metal and glass are very smooth and reflect light back more directly this is called specular reflection if you look into a lake on a wide windless day you will be able to see your reflection because of the smooth surface of the water is producing the specular reflection rather than diffuse reflection

how many atoms are in the moon??

Answers

The number of atoms on the moon is 1.33× 10¹⁵ atom.

What is an atom?

The atom consists of matter that may be split without releasing electrical charges.

It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.

In the nucleus proton and the neutron is exists. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.

The response is 1.33× 10¹⁵ atom. According to the Jefferson Lab of the US Department of Energy.

This answer is derived from an assessment of the number of atoms present in each of the Earth's constituent elements, such as silicon, iron, magnesium, sulfur, and silicon.

Hence the number of atoms on the moon is 1.33× 10¹⁵ atom.

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The graph shows how the acceleration due to gravity inside and outside of Earth varies with radial distance away from Earth’s center of mass. Earth is assumed to be a perfect sphere of constant density.
a) Write the relation between "g" and "r" at region A.
b) Write the relation between "g" and "r" at region B.

Answers

up down all around

yuh i said

up down all around

Tìm quãng đường đi được
Biết V0=4m/s , a=1m/s , t=5s

Answers

Answer:

hii bee bbtym tayo as a friend huhuhuhu

What is something that you do not like, you can't explain it but, but u know u just don't like it. For me, i don't like closed doors. It makes me feel trapped

Answers

Answer:

religion

Explanation:

when I get asked this... what is your religion... I try to explain so the best explanation I can give is

believing in one god is like saying bread can't get wet

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