A thin rod of length 0.75 m and mass 0.42 kg is suspended
freely from one end. It is pulled to one side and then allowed to swing
like a pendulum, passing through its lowest position with angular
speed 4.0 rad/s. Neglecting friction and air resistance, find (a) the
rod's kinetic energy at its lowest position and (b) how far above that
position the center of mass rises.

Answers

Answer 1

Answer:

a)  K = 0.63 J, b)  h = 0.153 m

Explanation:

a) In this exercise we have a physical pendulum since the rod is a material object, the angular velocity is

         w² = [tex]\frac{m g d}{I}[/tex]

where d is the distance from the pivot point to the center of mass and I is the moment of inertia.

The rod is a homogeneous body so its center of mass is at the geometric center of the rod.

              d = L / 2

the moment of inertia of the rod is the moment of a rod supported at one end

              I = ⅓ m L²

we substitute

            w = [tex]\sqrt{\frac{mgL}{2} \ \frac{1}{\frac{1}{3} mL^2} }[/tex]

            w = [tex]\sqrt{\frac{3}{2} \ \frac{g}{L} }[/tex]

            w = [tex]\sqrt{ \frac{3}{2} \ \frac{9.8}{0.75} }[/tex]

            w = 4.427 rad / s

an oscillatory system is described by the expression

              θ = θ₀ cos (wt + Φ)

the angular velocity is

             w = dθ /dt

             w = - θ₀ w sin (wt + Ф)

In this exercise, the kinetic energy is requested in the lowest position, in this position the energy is maximum. For this expression to be maximum, the sine function must be equal to ±1

In the exercise it is indicated that at the lowest point the angular velocity is

           w = 4.0 rad / s

the kinetic energy is

           K = ½ I w²

           K = ½ (⅓ m L²) w²

           K = 1/6 m L² w²

           K = 1/6 0.42 0.75² 4.0²

           K = 0.63 J

b) for this part let's use conservation of energy

starting point. Lowest point

             Em₀ = K = ½ I w²

final point. Highest point

             Em_f = U = m g h

energy is conserved

             Em₀ = Em_f

             ½ I w² = m g h

             ½ (⅓ m L²) w² = m g h

             h = 1/6 L² w² / g

             h = 1/6 0.75² 4.0² / 9.8

             h = 0.153 m


Related Questions

HELP QUICK! Please can anyone do the other half for me

Answers

Answer:

9) c

10) c

11) d

12) d

Explanation:

I think it's helps you

Which particles
are
electrically neutral?
А
electrons
B
protons
C
neutrons
D
all of the above
For flocabulary

Answers

Answer:

C. Neutrons

Explanation:

Protons +

Electron -

Quia
Active
16:05:5
A plant root is an example of

Answers

Answer:A plant root is an example of an organ

Explanation:The main function of the root is to collect nutrients and water from the soil.

Answer:

hi sorry i just want points YOSHIII :3

Explanation:

we cannot work without food why​

Answers

Answer:

Food supplies the body with energy and without energy the body cannot work.

What does weathering do?

2. What does erosion do?

3. What is physical weathering?

4. what are 3 examples of physical weathering?

5. What is chemical weathering?

6. What are 2 examples of chemical weathering?

7. What is biological weathering?

8. What are 3 examples of biological weathering?

Answers

Answer

Weathering describes the breaking down or dissolving of rocks and minerals on the surface of the Earth. Water, ice, acids, salts, plants, animals, and changes in temperature are all agents of weathering. Once a rock has been broken down, a process called erosion transports the bits of rock and mineral away.

Erosion is the geological process in which earthen materials are worn away and transported by natural forces such as wind or water. A similar process, weathering, breaks down or dissolves rock, but does not involve movement.

Physical weathering is caused by the effects of changing temperature on rocks, causing the rock to break apart. The process is sometimes assisted by water. ... Freeze-thaw occurs when water continually seeps into cracks, freezes and expands, eventually breaking the rock apart.

Swiftly moving water. Rapidly moving water can lift, for short periods of time, rocks from the stream bottom. ...

Ice wedging. Ice wedging causes many rocks to break. ...

Plant roots. Plant roots can grow in cracks.

the erosion or disintegration of rocks, building materials, etc., caused by chemical reactions (chiefly with water and substances dissolved in it) rather than by mechanical processes.

Carbonation. When you think of carbonation, think carbon! ...

Oxidation. Oxygen causes oxidation. ... or

Hydration. This isn't the hydration used in your body, but it's similar. ...

Biological weathering is weathering caused by plants and animals. Plants and animals release acid forming chemicals that cause weathering and also contribute to the breaking down of rocks and landforms. Chemical weathering is weathering caused by breaking down of rocks and landforms.

Burrowing animals like shrews, moles, earthworms, and even ants contribute to biological weathering. ...

When animals like birds forage for seeds and earthworms, they create holes and erode the upper surface of the soil, thus, contributes to weathering.

rabbits and other burrowing animals can burrow into a crack in a rock, making it bigger and splitting the rock. You may have seen weeds growing through cracks in the pavement.

Explanation:

Hope this helps you!!

∁=f
E=hf
c=3x108m/s h=6.63x10-34 J*s

The spectrum of Hydrogen is in the picture below.

ShapeWrite their wavelength (m), frequency (Hz), speed (m/s), and energy (J).

ShapeShapeShape

wavelength

frequency

speed

energy

404x10-9m

4.04x10-7m

7.42x1014 Hz

3x108 m/s

4.92x10-19J





























447 nm à ______________ m à f=_______________________ à E= __________________

471 nm à ______________ m à f=_______________________ à E= __________________

501 nm à ______________ m à f=_______________________ à E= __________________

587 mm à ______________ m à f=_______________________ à E= __________________

667 mm à ______________ m à f=_______________________ à E= __________________

2.56 m à ______________ m à f=_______________________ à E= __________________

Answers

Answer:

so you have a question

Explanation:

either way have a nice day

A glass bottle of soda is sealed with a screw cap. The absolute pressure of the carbon dioxide inside the bottle is 1.50 x 105 Pa. Assuming that the top and bottom surfaces of the cap each have an area of 4.40 x 10-4 m2, obtain the magnitude of the force that the screw thread exerts on the cap in order to keep it on the bottle. The air pressure outside the bottle is one atmosphere

Answers

Answer:

[tex]F \approx 19.5 N[/tex]

Explanation:

From the question we are told that:

Pressure of  [tex]P_{CO_2}=1.50 * 105 Pa.[/tex]

Bottle cap area [tex]A_b= 4.40 * 10-4 m^2[/tex]

 

Generally the equation for Resultant pressure [tex]P_r[/tex] is give as is mathematically given by

[tex]P_r=P_{CO_2}-P_a[/tex]

Where

[tex]P_a=atmospheric\ pressure = 1.013*10^5 pa[/tex]

[tex]P_r=1.50 * 105 Pa-1.013*10^5 pa[/tex]

[tex]P_r=0.487*10^5 pa[/tex]

Generally the equation for Force exerted by screw F is give as is mathematically given by

[tex]F = P*A\\F = 0.487*10^5*4.00*10^-4\\ F = 19.48 N[/tex]

[tex]F \approx 19.5 N[/tex]

Should there be a salary cap for professional athletes?

Answers

answer:

From the fan side: Salary caps mean better competition and more parity between all teams in a given league (in theory, anyway). Salary caps in the NFL, NBA and NHL can foster this, but in MLB, luxury tax requirements may not be enough to prevent large-market teams from dominating.

plz mark me as brainliest plzzzz

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+βt3θ(t)=γt+βt3, where γ=γ= 0.450 rad/srad/s and β=β= 1.10×10−2 rad/s3rad/s3. Part A Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables ββ, γγ, and tt. ωz(t)ωz(t) = nothing rad/srad/s SubmitRequest Answer Part B What is the initial value of the angular velocity? ωzωz = nothing rad/srad/s SubmitRequest Answer Part C Calculate the instantaneous value of the angular velocity ωzωz at t=t= 5.25 ss . ωzωz = nothing rad/srad/s SubmitRequest Answer Part D Calculate the average angular velocity ωav−zωav−z for the time interval t=0t=0 to t=t= 5.25 ss .

Answers

Answer:

hufiui

fihgpfghlfikgergkfkjhfkhjgkffhhh

Explanation:

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Suppose you are planning a trip in which a spacecraft is to travel at a constant velocity for exactly six months, as measured by a clock on board the spacecraft, and then return home at the same speed. Upon return, the people on earth will have advanced exactly 90 years into the future. According to special relativity, how fast must you travel

Answers

Answer:

v = 0.99 c = 2.99 x 10⁸ m/s

Explanation:

From the special theory of relativity:

[tex]t = \frac{t_o}{\sqrt{1-\frac{v^2}{c^2} } }\\[/tex]

where,

v = speed  of travel = ?

c = speed of light = 3 x 10⁸ m/s

t = time measured on earth = 90 years

t₀ = time measured in moving frame = 6 months = 0.5 year

Therefore,

[tex]90\ yr = \frac{0.5\ yr}{\sqrt{1-\frac{v^2}{c^2} } } \\\\\\\sqrt{1-\frac{v^2}{c^2}} = \frac{0.5\ yr}{90\ yr}\\ 1-\frac{v^2}{c^2} = 0.00003086\\\frac{v^2}{c^2} = 1-0.00003086\\[/tex]

v = 0.99 c = 2.99 x 10⁸ m/s

When turning from your path onto a perpendicular path your speed
SHOULD BE at a STEADY

DRIVERS ED PLEASE HELP

Answers

Answer: 5-15MPH

Explanation: Trust me

What is the Underground water

Answers

Answer:

water found underground is called undergroundwater

A cylinder of gas has a frictionless but tightly sealed piston of mass M. A small flame heats the cylinder, causing the piston to slowly move upward. For the gas inside the cylinder, what kind of process is this?

Answers

Answer:

isobaric

Explanation:

According to the attached figure, the process would be isobaric as the gas would be expanded at the time when it maintains the constant pressure

The ideal gas law derives

PV = nRT

As the flame is there at the bottom side so atoms or molecules of gas would get heat up slowly also their temperature would be increased. Thus in the case when piston would not be permitted to move so the pressure would rise having maintaining the constant volume and after this the process could be isochronic but in the given case, the piston would be permitted to move slowly upward so that there is a rise in the volume. However, the gas particles would be adjust themselves in order to maintain constant pressure so the given process represent isobaric  


What question were you trying to answer in this study?
A. Why are the lightbulbs exploding?
B. Why are the lightbulbs melting?
C. Why are the lightbulbs so dim?
D. Why are the lightbulbs burning out?

Answers

Answer: A. Why are the lightbulbs exploding?

How far are two protons if they exert a force of 0.5 N on one another?

Answers

Answer:

5.08 metres

Explanation:

The both protons should be 5.08 meters apart so that force between them is equal to the weight of electron

The two protons will exert a repulsive force of 0.5 N when they are at a distance of [tex]2.146625 \times10^{-14} \,m[/tex] away from each other.

As protons have very little mass the gravitational force will be negligible. So here we will consider the electrostatic force between them.

According to Coulomb's law in electrostatics, the electrostatic force between two charges can be given by;[tex]F=k\frac{q_{1}q_{2} }{r^2}[/tex]Where [tex]k \approx 9 \times 10^9 \, Nm^2 /C^2[/tex]Here, since both the particles are protons;[tex]q_1 = q_2 = 1.6 \times 10^{-19}\,C[/tex]Given that F = 0.5 NSubstituting the known values in the Coulomb's law equation, we get;

[tex]0.5\, N = 9\times 10^{9} Nm^2 /C^2 \times\frac{(1.6\times 10^{-19}\,C)\times(1.6\times 10^{-19}\,C)}{r^2}[/tex]

ie; [tex]r= \sqrt{9\times 10^{9} Nm^2 /C^2 \times\frac{(1.6\times 10^{-19}\,C)\times(1.6\times 10^{-19}\,C)}{0.5\, N} } = 2.146625 \times 10^{-14}\,m[/tex]

Learn more about Coulomb's Law here:

https://brainly.com/question/1698562

People with schizophrenia are most likely to have delusions that reflect the theme of

Answers

Answer:

llogical or bizarre ideas or fantasies.

Explanation:

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Answers

Answer:

I don’t know what that is I’m sorry

Explanation:

Answer:

tbh i wish i can help

Explanation:

Two small metallic spheres with equal mass are suspended as pendulums by strings of length L. The sphereshave the same electric charge and come to equilibrium with each string at an angle of Θ = 10.00° with the vertical. What happens if the electric charges are decreased?

A) Θ decrease

B) Θ increase

C) Θ remains the same

D) distant between spheres increases

Answers

Answer:

Two small metallic spheres with equal mass are suspended as pendulums by strings of length L. The sphereshave the same electric charge and come to equilibrium with each string at an angle of Θ = 10.00° with the vertical. What happens if the electric charges are decreased?(D)

Explanation:

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What is responsible for the amount of current in a circuit?
Will mark as Brainliest!!!

Answers

Answer:

Voltage is required for there to be a current but resistance can effect the amount of current.

Answer:

the answer is voltage

Explanation:

we just finished this unit in class

As the Moon revolves around the Earth, it also rotates on its axis. Why is it that the same side of the Moon is always visible from Earth?

Answers

Answer: The speed of the moon's rotation keeps the same side always facing Earth.

Explanation: Please mark me brainiest

Answer:

The speed of the Moon's rotation keeps the same side always facing Earth.

Explanation:

got it right on study island :)

Use the simulation to determine the relationship between the distance from the magnet and the strength of the magnetic field at that point. Use a ruler to measure distance on the screen. Use a power fit to determine the B vs. r relationship for each location. To simplify your data collection, chose a data-collection axis where either Bx or By = 0. Measure the distance from the nearest edge of the magnet. You will need to obtain a ruler for collecting data.

Answers

Explanation:

give me more detail and i well help you out

The data points you have taken on your lab graphs roughly form a straight line. How do you interpret the slope of this line?
Steeper slopes mean higher speeds.
Steeper slopes mean lower speeds.
Steeper slopes mean higher error.
Steeper slopes mean lower error.
The slope has no relation to speed or error

Answers

Answer: Steeper slopes mean lower speeds.

Explanation:

If it’s a flat slope then it’s c
But if it’s a wavy slope then it’s a

can someone help? NO LINKS OR IM REPORTING

Answers

Answer:

Bjsjsjsiisudujdgjkkgywuuuyyyuwu

A ball weighing 100 g is attached to a string and swung around with a speed of 2 m/s. If the centripetal force exerted by the string is
0.5 N, what is the length of the string?

A) 0.08 m
B) 0.8 cm
C) 8 m
D) 80 cm

Answers

Assuming the ball is swung around in a circle parallel to the ground, it has a centripetal acceleration a of

a = v ² / R

where v is the tangential speed of the ball and R is the length of the string.

The tension in the string is 0.5 N, so by Newton's second law, the ball has acceleration

F = m a   →   a = F / m = (0.5 N) / (0.1 kg) = 5 m/s²

where m is the ball's mass.

Solve for R :

a = v ² / R   →   R = v ² / a = (2 m/s)² / (5 m/s²) = 0.8 m = 80 cm

give 3 uses of mirrors in everyday life ​

Answers

Answer:

Putting on makeup lol

Driving

Magnification and Science

Photography

Explanation:

I did an extra one if the makeup one wasn't allowed hahah

1. Fixing hair
2. Getting ready
3. Brushing teeth

Which diagram best represents the electric field around a negatively charged conducting sphere? (See pic)


Answers

The answer is D !!!!!!!

The diagram which represents the electric field around a negatively charged conducting sphere is: Image D.

What is an electric charge?

An electric charge can be defined as a fundamental, physical property of matter, that typically governs how particles are affected by an electric field or electromagnetic field, especially due to the presence of an electrostatic force.

The electric field around a negatively charged conducting sphere are all attracted to the sphere in accordance with the law of electrostatic forces, as depicted by Image D in the given diagram.

Read more on charge here: brainly.com/question/4313738

Sarah is a 30 year old white female. Her occupation is part time chef. She is recently been divorced and has custody of
her three children. She has extreme changes in her mood that began to appear in her 20's but she never went to
see a
doctor about them. When family tries to talk to her about her upset, she reacts by becoming angry and blaming them
for her situation. She is currently complaining of crying episodes, not eating, headaches, thinking she is a failure,
spending most of her time in bed, and not being interested in activities she once enjoyed doing with her kids, such as
going to the park and seeing movies. Her mother and grandfather also showed signs of mental illness and she
reported that her mom has taken Depakote before, which helped. Sarah wants to open her own restaurant and move to
a bigger house.
1. Please answer the following questions by referring to the above case study and the assigned reading for this
unit:
• What psychological and physical symptoms does Sarah present with?
. What is the primary psychological disorder diagnosis that fits her symptoms based on the disorders
described in the textbook?

Answers

Answer:

how to deal with devoirce

Explanation:

The psychological and physical symptoms that Sarah presents include:

She frequently has headaches.She also has a loss of appetite.She gets angry easily.

From the information given, we can infer that some of the symptoms include the fact that Sarah frequently has headaches, loss of appetite, and gets angry easily.

The primary psychological disorder diagnosis that fits her symptoms based on the disorders will be depression. She's depressed because she just got divorced. This has taken a toll on her health.

Read related link on:

https://brainly.com/question/19276767


A rock falls from a cliff and hits the ground at a velocity of 28m/s. How long did it take to fall?

Answers

Answer:

2.8s

Explanation:

=>a = v-u/t

=> t = v - u / t

= 28-0 / 10

= 2.8 s

in the early solar system,comets that struck earth may have brought in
A.water
B.advanced life
c.plankton
D.all of the above

Answers

[tex]\huge{\mathbb{\tt { QUESTION↓}}}[/tex]

In the early solar system,comets that struck earth may have brought in

[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {A.water}}}[/tex]

[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {B.Advanced Life}}}[/tex]

[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {C.Plankton}}}[/tex]

[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {D. All \: of \: the \: above}}}[/tex]

[tex]\huge{\mathbb{\tt { ANSWER↓}}}[/tex]

[tex]\color{red}{\tt {D. \: All \: of \: the \: above}}[/tex]

[tex]\color{black}{\tt {because \: the \: true \: answer \: is \: comet}}[/tex]

[tex]{\boxed{\boxed{\tt{WHAT \: IS \: COMET?}}}}[/tex]

[tex]\color{black}{\tt{A \: comet \: is \: an \: icy, \: small \: Solar \: System \: body}}[/tex]

[tex]\color{black}{\tt { that, \: when \: passing \: clos \: e to}}[/tex]

[tex] \color{black}{\tt {the \: Sun, \: warms \: and \: begins \: to \: release}}[/tex]

[tex]\color{black}{\tt { gases, \: a \: process \: that \: is \: called \: outgassing. }}[/tex]

[tex]\color{black}{\tt{This \: produces \: a \: visible \: atmosphere \: or \: coma,}}[/tex]

[tex]\color{black}{\tt{and \: sometimes \: also \: a \: tail}}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

→XxKim02xX

5. A cart with one fan on It blowing to the left and carrying one block produces the x vs t graph shown If this car were carrying three blocks instead of one, with the
fan still blowing the same direction, what could the x vs t graph look like?
A Graph A
B. Graph B
OC. Graph C
O D. Graph D​

Answers

Answer:

Graph C

Explanation:

With the same force and more mass, the position in time will still be parabolic

i.e.  x = ½at², but the rate of acceleration will be lower so the position curve will be broader.

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Who can do this whoever best explains is I'll give you brainliest pls asap Calculate the temperature of a gas when it is expanded to 5.25L. The gas originally occupies 3.90L of space at 252K. consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two equations intersect? (-1,2) (-2,1) (1,-2) (2,-1) what was the main purpose of making new organisation for world peace?give good answer i will mark the best brainliest and no rrolls or links other wise you will be reported NO LINKS PLEASE the concept which asserts that genuine free will is possible even in a deterministic universe please help me this is hard for me :34 divided by 523.6 Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly steven observes ducks on a pond going underwater for several seconds at a time before resurfacing. The ducks are most likely: F. playing with the ducks G. obtaining oxygen from the waterH. communicating with other ducksJ. feeding Who were the federalists? What was their core argument? Who were the anti-federalists? What was their core argument? What was the significance of their debate and how did the outcome shape American history? In addition to the potential destabilization of the Ottoman Empire, Giolitti's argument in Source 2 regarding Italy's ambitions in Libya is likely explained by the concern- that any attempt by a European state to acquire colonies in Africa could.A). Lead African States to unite with each other against European powersB). Greatly endanger the spread of Catholicism and enable the spread of IslamC). Encourage Japan to take advantage of the situation and conquer Italian colonies in AsiaD). Dangerously intensify rivalries between European states seeking to acquire territories and resources. A 10 kg package is delivered to your house.Use one complete sentence to describe an example of how work is done on the package as it gets brought inside.Make sure to use proper spelling, grammar, and other language mechanics.In your explanation, make sure to use the terms related to the formula for work (W = Fd). 3. Valentina and Chloe were standing next to each other. Chloe walked south for 86 metersand then west for 93 meters, while Valentina stood still. Then, Chloe walked directly backto Valentina. To the nearest tenth of a meter, what is the distance that Chloe walked toget back to Valentina? i need help im struggling with spanish need help with 12 to 14 Take a look at the following chemical equation. Complete the following: balance the equation, explain how the conversation of matter supports your answer, and identify the type of reaction. For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.If the pyramid is 140 meters tall, how tall will her model pyramid be? A. 56 centimeters B. 28 centimeters C. 32 centimeters D. 28 meters Which line is scanned incorrectly?1. Line 12. Line 23. Line 34. Line 45. Line 5 i need help pls () How was the idea of self-governance reflected in Protestantism?Priests set the policies for their churches.The king determined the rules for all churches.Individuals had to obey the rulings of church councils.The members of a congregation made decisions for the church. give four reasons why money is important in our daily activities https://www.linkedin.com/pulse/100-reasons-why-you-shouldnt-commit-sui cide-aaditya-thapa Here go to the link and take your time to read it!