Four rods that obey Hooke's law are each put under tension. (a) A rod 50.0 cm50.0 cm long with cross-sectional area 1.00 mm21.00 mm2 and with a 200 N200 N force applied on each end. (b) A rod 25.0 cm25.0 cm long with cross-sectional area 1.00 mm21.00 mm2 and with a 200 N200 N force applied on each end. (c) A rod 20.0 cm20.0 cm long with cross-sectional area 2.00 mm22.00 mm2 and with a 100 N100 N force applied on each end. Order the rods according to the tensile stress on each rod, from smallest to largest.

Answers

Answer 1

Answer:

c < a = b

Explanation:

The tensile stress = Force applied/(Cross sectional area)

(a) The applied force = 200 N

The cross sectional area = 1.00 mm² = 1 × 10⁻⁶ m²

The tensile stress = 200 N/(1 × 10⁻⁶ m²) = 200,000,000 Pa = 200 MPa

(b) The applied force = 200 N

The cross sectional area = 1.00 mm² = 1 × 10⁻⁶ m²

The tensile stress = 200 N/(1 × 10⁻⁶ m²) = 200,000,000 Pa = 200 MPa

(c) The applied force = 100 N

The cross sectional area = 2.00 mm² = 2 × 10⁻⁶ m²

The tensile stress = 100 N/(2 × 10⁻⁶ m²) = 50,000,000 Pa = 50 MPa

Therefore, the tensile stress from smallest to largest are;

(a) 50 MPa, < (b) 200 MPa = (a) 200 MPa

Therefore, we have;

c < a = b.


Related Questions

Be specific when answering both of the following question. When will a balloon powered car have potential energy?

Answers

Answer: Explanation:

Balloons are elastic and store potential energy when they are filled with air. When the air is released, the potential energy is converted into the energy of motion, which is also known as kinetic energy. This is the energy you see when the car is propelled forward.

What is the smallest planet in our solar system?

Answers

Answer:

pluto.... even tho they dont consider it a planet but it's a dwarf planet

3- The velocity-time graph below shows the motion of a
ball in free fall. What is the acceleration of the ball from
0.5 to 0.7 seconds? Show your work:

Answers

Answer:

The acceleration of the ball from 0.5 to 0.7 seconds is 10 m/s²

Explanation:

The data from the given velocity-time graph are as follows;

Velocity (meters per second)       [tex]{}[/tex]                       Time (seconds)

0                                                    [tex]{}[/tex]                          0.4

0.5                                                   [tex]{}[/tex]                        0.45

1.                                                 [tex]{}[/tex]                             0.5

1.5                                                   [tex]{}[/tex]                         0.55

2.2                                                   [tex]{}[/tex]                        0.6

2.5                                                   [tex]{}[/tex]                        0.65

3.0                                                   [tex]{}[/tex]                        0.7

3.5                                                   [tex]{}[/tex]                        0.75

4.0                                                   [tex]{}[/tex]                        0.8

4.5                                                   [tex]{}[/tex]                        0.85

Therefore, the average acceleration of the ball from 0.7 to 0.7 seconds is given as follows;

Acceleration = (Change in velocity)/(Related change in time)

Acceleration = (3.0 - 1)m/s/(0.7 - 0.5)s = 2/0.2 m/s²  = 10 m/s²

The acceleration of the ball from 0.5 to 0.7 seconds = 10 m/s².

Consider an uncharged, conducting hollow spherical shell. The electric field on the inside surface of the spherical shell is measured to be directed toward the inner shell wall and varies in magnitude over the spherical shell's inside surface. It is known that the only charge in the hollow cavity inside the spherical shell is a point charge with magnitude q. What is the sign of the charge q?

Answers

Answer:

The sign of charge q is negative.

Explanation:

This is because electric field lines usually emanate from positive charges and terminate at negative charges. The negative charge in the hollow cavity induces a positive charge on the inner shell wall of the hollow shell which in turn induces the negative charge q on the hollow spherical shell.

Since the induced electric charge on the inner wall is positive, the electric field lines from that charge terminates at the inner charge q. Since electric field lines terminate only at negative charges, q is negative.

How many Magnesium atoms are in 10MgCl2?

Answers

The person above me is an idiot

Answer:

The correct answer is 10

Explanation:

10 times the singular magnesium which means: 10 times 1

There are 10 magnesium atoms in 10 MgCl₂ as depicted in the chemical formula.

What is an atom?

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

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To see how deep a well is you drop a rock in. The rock hits the water 10 seconds later.
How deep is the well? Draw the velocity-time graph for this motion.

Answers

Answer:

490m

Explanation:

Given parameters:

     Time taken = 10s

Unknown:

Depth of the well = ?

Solution:

To find the depth of the well, we apply the appropriate motion equation:

     h = ut + [tex]\frac{1}{2}[/tex]gt²

h is the depth

u is the initial velocity

g is the acceleration due to gravity  = 9.8m/s²

t is the time taken

 Input the parameters and solve;

 The ball was dropped from rest; u = 0

      h  =  [tex]\frac{1}{2}[/tex]gt²

      h  =   [tex]\frac{1}{2}[/tex] x 9.8 x 10²  = 490m

Can you help me on this? it is a phyisical science question.

Answers

Answer:

Electron

Explanation:

what would the acceleration of the car be ?

Answers

Explanation:

Here you go, hope this helps!

If two cars are 5 m apart, and one car has a mass of 2,565 kg and the other
car has a mass of 4,264 kg, what is the gravitational force between the two
cars? Newton's law of gravitation is F gravity
Gm; m2 The gravitational
constant G is 6.67 x 10-11 Nm2/kg?.
A. 5.84 x 10-6N
B. 4.37 % 105 N.
C. 1.46 10-4N
D. 2.92 x 10-5 N

Answers

Gravitational force between two cars are 2.92 × 10 ⁻¹¹ Nm²/kg.

The universal force of attraction happened between two objects is called as gravitational force.

The mass of the two cars, m₁ = 2565 kg

                                            m₂ = 4264 kg

                                             r = 5m

                                            G = 6.67 ₓ 10 ⁻11 Nm²/kg

How gravitational force can be calculated?

Definition of gravitational force: The force of attraction between any two bodies is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

                            F ∝ m₁ m₂ ÷ r²

where the force exerted between the two masses m₁ and m₂,

                            F = G (m₁ m₂) ÷ r²

where as,  F - Gravitational force between two bodies,

                 G - Gravitational constant,

                 m₁ - mass of the first body,

                m₂ - mass of the second body,

                r² - square of the distance between two bodies.

                        F= 6.67 × 10⁻¹¹ Nm²/kg ( 2565 kg × 4264 kg) ÷ ( 5²)

         Hence,

                         F = 2.92 × 10⁻⁵ N

Option D is correct answer.

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A 250-n force is directed horizontally as shown to push a 29-kg box up an inclined plane at a constant speed. Determine the magnitude of the normal force

Answers

Answer:

246.38N

Explanation:

Check the complete question in the attached diagram

The normal force acting on the body on an inclined is equal to the weight of the object as shown;

Weight = Normal force = mgcosθ

m is the mass of the box = 29kg

g is the acceleration due to gravity = 9.81m/s²

θ is the angle of inclination = 30°

N = 29 * 9.81 * cos 30°

N = 284.49cos30°

N = 246.38N

Hence the magnitude of the normal force is 246.38N

When you move a magnet into a coil of wires, it induces a current in the wires. When you take the same magnet and move it in the opposite
direction through the coils, it still induces a current. What is differnet about the currents created in these situations?

Answers

Answer:

If in an area, the magnetic flux will change then the emf (Electromotive force) induced in the wire will induce current flow in it.

If we moved the magnet inside coil of wire then its change in flux is more compared to the outside moving magnet then the induced current is more in the magnet that moves inside coil of wire

Explanation:

8. Approximately how many hours a day are spent in school and doing homework?
A. 7 hours
B. 8.5 hours
C. 9 hours
D. 8 hours

Answers

Answer:

There would be 9 b/c there is so many hours of school and the homework depends on how old you are so i am pretty sure it is C.

Explanation:

HELP ME PLEASEE

Why are chemical processes unable to produce the same amount of energy flowing out of the sun as nuclear fusion

i have no clue about it :(

Answers

Answer:

I think because of sun is made from very hot gases

One of the major differences between nuclear reactions and chemical reactions is that nuclear reactions involve larger amount of energy than chemical energy. This is because the force between the protons and neutrons in the nucleus of an atom is much higher than the force of attraction between electrons and the positively charged nucleus, hence nuclear reactions involves/requires a larger amount of energy (because it's reactions involve the nucleus) than chemical reactions (because it's reactions involve the electrons).
Thus, during nuclear fusion, two light nuclei are bombarded against one another to produce a larger/heavier nuclei with the release of large amount of energy (because the forces between the protons and neutrons are much higher) unlike when two atoms/molecules are chemically combined together to form a new molecule with the rearrangement of electrons in the valence shells of the participating molecules.

A marble rolls horizontally off a table that is 0.8 m tall. If the marble lands 0.6 m from the base of the table,
what is the initial velocity of the marble?

Answers

Answer:

Explanation:

Time of fall be t

Considering downward fall

h = 1/2 g t²

.8 = .5 x 9.8 t²

t² = .16

t = .4 s

Marble lands at .6 m away from the base

If u be its horizontal initial velocity

u x .4 = .6

u = 1.5 m /s .

The initial velocity of the marble will be "1.5 m/s".

Speed and Velocity

According to the question,

Height of table, h = 0.8 m

Marble lands = 0.6 m

Acceleration due to gravity, g = 9.8

Let,

The time of fall be "t".

We know the relation,

→ h = [tex]\frac{1}{2} gt^2[/tex]

By substituting the values, we get

0.8 = 0.5 × 9.8 t²

  t² = 0.16

    t = √0.16

      = 0.4 s

hence,

The horizontal initial velocity will be:

→ u × 0.4 = 0.6

            u = [tex]\frac{0.6}{0.4}[/tex]

               = 1.5 m/s

Thus the answer above is appropriate.    

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This diagram shows two different forces acting on a skateboarder. The combined mass of the skateboard and the person is 81.5 kg. Based on this information, what is the acceleration of the skateboarder?

A. 0.51 m/s² to the left
B. 1.95 m/s² to the left
C. 0.51 m/s² to the right
D 1.94 m/s² to the right ​

Answers

Answer:

Option C. 0.51 m/s² to the right.

Explanation:

We'll begin by calculating the net force acting on the skateboarder. This is illustrated below:

Force applied (Fₐ) = 52.8 N

Force resistance (Fᵣ) = 11.4 N

Net force (Fₙ) =.?

Net force (Fₙ) = Force applied (Fₐ) – Force resistance (Fᵣ)

Fₙ = Fₐ – Fᵣ

Fₙ = 52.8 – 11.4

Fₙ = 41.4 N to the right

Thus, the net force acting on the skateboarder is 41.4 N to the right.

Finally, we shall determine the acceleration of the skateboarder as shown below:

Mass (m) = 81.5 kg.

Net force (Fₙ) = 41.4 N to the right

Acceleration (a) =..?

Net force (Fₙ) = mass (m) × acceleration (a)

Fₙ = ma

41.4 = 81.5 × a

Divide both side by 81.5

a = 41.4 / 81.5

a = 0.51 m/s² to the right.

Therefore, the acceleration of the skateboarder is 0.51 m/s² to the right.

Answer: .5 m/s to right

Explanation:

How long will it take an airplane at rest that
accelerates uniformly at 2.5 m/s to reach a ground
velocity of 70 m/s that is required for takeoff

Answers

Answer:

28 seconds.

Explanation:

Apply the first equation of motion as;

v=u +at where;

v= final velocity of the plane = 70m/s

u=initial velocity of the plane= 0m/s -----it was at rest

a= acceleration uniform =2.5 m/s²

t= time required for takeoff = ?

Substitute values in the equation as;

v= u + at

70 = 0 + 2.5*t

70 = 2.5t

70/2.5 = 2.5/2.5t

28 = t

Time required for takeoff is 28 seconds.

What are the highest energy level electrons of an atom called?

Answers

Electrons that are the highest energy level is called Valence Electrons

A bumblebee carries pollen from the male portion of a plant to the female portion of the same flower. Fertilization occurs. Which statement is true about this type of reproduction?
A.
It’s asexual, and the offspring are genetically identical to the parents
B.
It’s sexual, and the offspring are genetically identical to the parents.
C.
It’s asexual, and the offspring are genetically different from the parents.
D.
It’s sexual, and the offspring are genetically different from the parents.

Answers

A because read the paragraphs

Answer:

a

Explanation:

a soccer ball is kicked horizontally off a cliff with an initial speed of 8 m/s and lands 16 m from the base of the cliff What is the time of flight of the soccer ball?

Answers

2 seconds because time=distance/speed so time=16/8 which gives 2

The time of flight of the soccer ball is 2 seconds.

Given the following data:

Initial speed = 8 m/sDisplacement = 16 meters.

To find the time of flight of the soccer ball;

Mathematically, the time of flight for a horizontal displacement is given by the formula;

[tex]Time \;of \;flight = \frac{Displacement}{Initial \; velocity}[/tex]

Substituting the values into the formula, we have;

[tex]Time \;of \;flight = \frac{16}{8}[/tex]

Time of flight = 2 seconds.

Therefore, the time of flight of the soccer ball is 2 seconds.

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If gravity is the only force acting on you, why
aren't you moving down right now?

Answers

Answer: Because the force of gravity depends on the size of the planet, so a smaller planet will have less gravitational force than a larger planet. So our gravitational force is not as strong as a bigger planet so we can still stand up and jump normally but on a smaller planet we could jump higher and on a bigger planet, we could not even be able to jump at all.

Answer:

gravity holds you down, floors protect that

Explanation:

A 22 kg toboggan is pulled along at a constant speed by a horizontal force of 31N. a) What is the force of gravity on the toboggan? b) What is the coefficient of friction? c) How much force is needed to pull the toboggan if two children each with a mass of 50 kg are sitting on it?

Answers

(a) This is essentially asking for the weight of the toboggan, which is

w = (22 kg) (9.80 m/s²) = 215.6 N ≈ 220 N

(b) Being pulled with constant speed means the toboggan is in equilibrium, so

n + (-w) = 0

where n is the magnitude of the normal force, and

31 N + (-f ) = 0

where f is the magnitude of the friction force.

f is proportional to n by a factor of µ such that

f = µ n

We have

n = w = 215.6 N

f = 31 N

so

31 N = µ (215.6 N)   →   µ ≈ 0.14

(c) Let p denote the magnitude of the required pulling force. The combined mass of the toboggan and children is now 122 kg, so its weight is

w = (122 kg) (9.80 m/s²) = 1195.6 N

which means the normal force is also n = 1195.6 N.

We want to have

p + (-f ) = 0   →   p = f

so we just need to find the magnitude of the friction force using the coefficient from part (b).

p = f = 0.14 (1195.6 N) ≈ 170 N

A man has a mass of 50 kg on earth and travels to another planet where the
acceleration due to gravity is 2.5 m/s2. What is the mass of this man on this other
planet?

Answers

Answer:

jo

Explanation:

kkk kkk

PLEASE HELP, WILL MARK BRAINLIEST
What objects exert the attractive force of gravity?
(1 Point)
Anything that has mass
Only planets, moons and stars
Only the Earth and the Sun
Only objects the size of the Earth or larger.

Answers

Answer:

Anything that has mass.

Explanation:

Answer: Anything that has mass.

Explanation:

A 20-kilogram mass is traveling with a velocity of 3 m/s. What is the object's kinetic energy?

Answers

solution

Given

mass= 20kg

velocity =3m/s

K.E=?

K.E= ½mv²

½×20×3²

½×20×9

½×180

90 J

A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 "g's" (g = 9.8 m/s^2). Calculate the force on a 65 kg person accelerating at this rate. *

Answers

471.8 g’s of force of the persons body

i’m stuck on this problem, help is very appreciated!!

Answers

Explanation:

Use the equation F=m×a

F= 1500 N

M= 500kg

a= F/M

a= 1500÷ 500

a= 3m/s^2

Answer:

Explanation:

Force, f = 1500 N

Mass, m = 500 kg

Acceleration, a = ?

f = ma

a = f/m

= 1500 / 500 = 3m/s^2

Hope this helps

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Uranium, used in nuclear reactions, is a nonrenewable energy resource
A)
true
B)
false

Answers

Answer:

The answer is A) True

Explanation:

Uranium is the fuel most widely used by nuclear plants for nuclear fission. Uranium is considered a nonrenewable energy source, even though it is a common metal found in rocks worldwide. Nuclear power plants use a certain kind of uranium, referred to as U-235, for fuel because its atoms are easily split apart.

PLEASE HURRYYYYYY:
Students had two batteries and two different resistors. During four trials, they build four different circuits and plan to measure the circuit’s current in Amps according to the following table.





Trial Number

Voltage (V)

Resistance (Ω)

Current (A)

1

1.5

200


2

1.5

100


3

3.0

200


4

3.0

100




For which trial would the students measure the smallest current in the circuit?

Answers

Answer: C. Trial 3

Explanation:

Trial 1 and 2 equal 1.5, Trial 3 equals 1 and Trial 4 equals 3. Trial 3 is the smallest current .

The trial for which the students would measure the smallest current is the circuit is trial 2 and trial 3.

To know the trial which generates the smallest current, we need to determine the current in each trial.

Since current I = V/R where V = voltage and R = resistance.

For trial 1, V = 1.5 V and R = 200 Ω

So, I = 1.5 V/200 Ω

= 0.0075 A

= 7.5 mA

For trial 2, V = 1.5 V and R = 100 Ω

So, I = 1.5 V/100 Ω

= 0.015 A

= 15 mA

For trial 3, V = 3 V and R = 200 Ω

So, I = 3 V/200 Ω

= 0.015 A

= 15 mA

For trial 4, V = 3 V and R = 100 Ω

So, I = 3 V/100 Ω

= 0.03 A

= 3 mA

Trial 2 and trial 3 both produce a the smallest current of 15 mA.

So, the trial for which the students would measure the smallest current is the circuit is trial 2 and trial 3.

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A bowling ball rolls 33\,\text m33m33, start text, m, end text with an average speed of 2.5\,\dfrac{\text m}{\text s}2.5 s m ​ 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. How many seconds did the ball roll?

Answers

The ball rolled for 13.2 s

Further explanation

Speed is scalar and no direction

[tex]\tt avg~speed=\dfrac{total~distance}{elapsed~time}=\dfrac{\Delta x}{\Delta t}[/tex]

A bowling ball rolls 33 m, with average speed = 2.5 m/s

So elapsed time :

[tex]\tt t=\dfrac{33~m}{2.5`m/s}=13.2~s[/tex]

Answer:

13.2

Explanation:

A distance of 2.5 meters separates two similar balls of mass 0.70 kg each. Calculate the force of gravity between the two balls.

Answers

Answer:

2

Explanation:

Other Questions
Find the measure of the following angles. Justify your answers. Select the statement that best describes hor each passage conwcys differentInformation about the Seneca Falls ConventionPanae A:One of the most important events along the path to equal rights forAmerican women was the Seneca Falla CamrentionThe conference, alarge meeting of women interested in expanding women's rights, tookplace in Seneca Falle New York. In the summer of 1848. Al the time,women were not allowed to inherit properly serve on a un or vote.and many momenbelieved that these restrictions needed to change.So Woman palhered and listened to presentallons and arguments bylampus Speakers like Werella Vall and Elizabeth Cady Stanlan Altheend of the conferenec, more than 100 allendees stared a petilanuralna lhe Unile sales loan women henloh lorate.Passage B56 Falls hacamays been a men, and Bely 15 mars beenamuel air But not this kend A kalehedlaelmated, BDSof noten marched allaver laws in and out of sclure halls and teahouses, talkina alwars lalking=sonelimes smiling and lavahing, butTesty argung scilously wonene Hot Momen's lives andwomen's riants. Peering around corners, Bellystened yes wide,Ibanking for the first line about her own life and mat it might holdYes she loved Pa,and she was sure she would love herhandsomeday, but do she cay want them to decide eenhing for herO A. Passage A ques informatie facts about the event, while passageB describes the event from a point of view that is easy to relate toB. Passage A uses the perspectives of many different characters inorder to tell a well-rounded story whe Passage e focuses onmaking a lanous person seem llawed and nean,C. Passage A is witten with strong ematan white passage B lamore matter of fact retelling of events0 Passage A explains why the camrentian took place, while passageBleaves out the purpose of the comention in order to focus on thewomen themselves Help me pleaaaaaaassssssssseeeeeeee Solving Equations and Systems of EquationsWithout solving the systems, explain why the following systems must have the same solution.System (i): 4x - 5y = 133x+6y=11System (ii): 8x 10y = 26X 11y = 2 Someone plz help me for a brainliest The first major federal legislation passed to forbid actual monopolies or attempts to monopolize any part of trade or commerce in the United States was the x+12= -5 helpppp meeeee Why is 2(7^0)=2 correct? por que la comunidad decidio combinar las actividades agropecuarias con proyectos como el centro ecoturistico The continental congress issued this commission How would Canadas development be described? Elsie is playing basketball and decides that she wants to make a shot. She dribbles, stops and shoots the ball. Which are the three main body systems that allowed her to do this? Who created the Adams-Onis Treaty? John Quincy Adams and Luis de Onis King of Spain and George Washington Luis de Onis and Navy Captain Thomas Jefferson and John Quincy Adams what is 2 5/8 equvilant to what do gesture lines do Which speaker is most clearly using the Enlightenment idea of popularsovereignty to support American independence? Each big square below represents one whole.What percent is represented by the shaded area?Stuck? Watch a video or use a hint7 of 7 What subject pronoun would you use if speaking to these people : el ella nosotros ellos or ellas? which is more , 1 gallon or 7 pints ,a. 1 gallonb. 7 pints c. nethier ; they are equal Read this passage about seals and sea lions and then answer the question that follows:From a distance, they both look like seals, but once you get up close you can actually see the difference. Seals and sea lions are both fish-loving mammals. Moreover, handy flippers propel them both through the water. But while seals have a tiny opening on the side of their heads, sea lions have actual earflaps. Furthermore, sea lions use their back flippers like feet to scoot along the beach. On the other hand, seals must wriggle and roll to get ahead. On the whole, when you visit a zoo or theme park, it's the honking, barking, funny sea lion you're likely to find playing to the crowds for fishy treats, earflaps and all.In the passage about seals and sea lions, which transition is used to show a contrast?