Engineers are working on a design for a cylindrical space habitation with a diameter of 7.50 km and length of 29.0 km. The habitation will simulate gravity by rotating along its axis. With what speed (in rad/s) should the habitation rotate so that the acceleration on its inner curved walls equals 8 times Earth's gravity

Answers

Answer 1

Answer:

The speed will be "0.144 rad/s".

Explanation:

Given that,

Diameter,

d = 7.50 km

Radius,

R = [tex]\frac{7.5}{2} \ Km[/tex]

Acceleration on inner curve,

= 8 times

Now,

As we know,

⇒ [tex]\omega^2R=8g[/tex]

or,

⇒ [tex]\omega=\sqrt{\frac{8g}{R} }[/tex]

On substituting the values, we get

⇒     [tex]=\sqrt{\frac{8\times 9.8}{\frac{7.5}{2}\times 10^3 } }[/tex]

⇒     [tex]=\sqrt{\frac{78.4}{3750} }[/tex]

⇒     [tex]=\sqrt{0.0209}[/tex]

⇒     [tex]=0.144 \ rad/s[/tex]


Related Questions

Two workers are sliding 450 kg kg crate across the floor. One worker pushes forward on the crate with a force of 380 NN while the other pulls in the same direction with a force of 230 NN using a rope connected to the crate. Both forces are horizontal, and the crate slides with a constant speed. What is the crate's coefficient of kinetic friction on the floor

Answers

Answer:

The coefficient of kinetic friction on the floor is 0.138

Explanation:

Given;

mass of the crate, m = 450 kg

force applied by the first worker, F₁ = 380 N

force applied by the second worker in the same direction as the first worker, F₁ = 230 N

frictional force opposing the motion of the box = -[tex]F_k[/tex]

Apply Newton's second law of motion;

∑F = ma

[tex]F_1 + F_2 - F_k = ma[/tex]

If the crate slides with constant speed, acceleration is zero (0).

[tex]F_1 + F_2 - F_k = ma = 0\\\\F_1 + F_2 - F_k = 0\\\\F_k = F_1 + F_2\\\\\mu _kmg= F_1 + F_2\\\\\mu _k = \frac{F_1 + F_2}{mg} \\\\\mu _k = \frac{380 + 230}{450 \times 9.8} \\\\\mu _k = 0.138[/tex]

Therefore, the coefficient of kinetic friction on the floor is 0.138

A 1.2 kg mass is suspended from the ceiling by a string. A second horizontal string holds the mass at rest next to the wall. The angle between the string and the ceiling is 65o. What is the tension force in the horizontal rope

Answers

Answer:

The tension in the horizontal string is 25.2 N.

Explanation:

mass, m = 1.2 kg

Angle, A = 65 degree

The tension in the string is T.

So, T cos A = m g

T x cos 65 =  1.2 x 9.8

T x 0.4226 = 11.76

T = 27.83 N

Tension in the horizontal string, T' = T sin A = 27.83 x sin 65 = 25.22 N

Answer:

Explanation:

See the figure attached . T₁ and T₂ are tension in the inclined and horizontal string .

The vertical component of T₁ will balance weight and horizontal component will balance the tension T₂.

T₁ sin 65 = mg and T₁ cos 65 = T₂

Dividing ,

Tan 65 = mg / T₂

T₂ = mg / tan 65

= 1.2 x 9.8 / 2.1445

= 5.5 N

Find the value of T1 if 1 = 30°, 2 = 60°, and the weight of the object is 139.3 newtons.

A.
69.58 newtons
B.
45.05 newtons
C.
25 newtons
D.
98.26 newtons

Answers

Answer:

Option A (69.56 newtons) is the appropriate solution.

Explanation:

According to the question,

On the X-axis,

⇒ [tex]T_1Cos30^{\circ}-T_2Cos60^{\circ}=0[/tex]

or,

    [tex]T_1Cos 30^{\circ}=T_2Cos60^{\circ}[/tex]

On substituting the values, we get

      [tex]T_1\times \frac{\sqrt{3} }{2}=T_2\times \frac{1}{2}[/tex]

      [tex]T_1\times \sqrt{3} =T_2[/tex]....(equation 1)

On the Y-axis,

⇒ [tex]T_1Sin30^{\circ}+T_2Sin60^{\circ}=139.3 \ N[/tex]

                        [tex]\frac{T_1}{2} +\frac{\sqrt{3} }{2} =139.2 \ N[/tex]

                    [tex]T_1+\sqrt{3}T_2=139.2\times 2[/tex]

From equation 1, we get

           [tex]T_1+\sqrt{3}\times \sqrt{3}T_1 =278.4 \ N[/tex]

                        [tex]T_1+3T_1=278.4 \ N[/tex]

                                [tex]4T_1=278.4 \ N[/tex]

                                  [tex]T_1=\frac{278.4}{4}[/tex]

                                       [tex]=69.6 \ N[/tex]  

Answer:

69.58

Explanation:

The cliff divers at Acapulco, Mexico, jump off a cliff m above the ocean. Ignoring air resistance, how fast are the divers going when they hit the water

Answers

Answer:

22.87 m/s

Explanation:

Since the value of the height at which the divers jump off the cliff is not given,

Assuming that the height of the cliff above the ocean at which the divers jump = 26.7 m

Then;

The speed of the divers when they hit the ocean water can be determined by using the formula:

[tex]v^2 = 2gh \\ \\ v= \sqrt{2gh} \\ \\ v = \sqrt{2 \times 9.8 \times (26.7)} \\ \\ v \simeq 22.87 \ m /s[/tex]

Answer this
a) which ink is likely to be pure? Why?
b) What does the chromatography tell us about ink Y
c) Why are the three different spots separated out from ink Y found at different heights?​

Answers

Answer:

a) Ink X is likely to be pure because it only contain 1 spot.

b) The chromatography tell us about ink Y that it is a mixture as it contain more than 1 spot.

c) The three different spots are separated out from ink Y at different heights beacaus different substance have different solubility.

The different spots from Y are found at various heights because they represent different compounds.

What is chromatography?

The term chromatography has to do with a method of separating the component of a substance. The term chromatography originally means color writing.

We can see that the pure ink is the ink marked X. We can see from the chromatogram that Y is a mixture of colors. The different spots from Y are found at various heights because they represent different compounds.

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What is the essential concept of the photon theory of light?​

Answers

Answer:

Cause it gives us internet

Jack drops a stone from rest off of the top of a bridge that is 21.0 m above the ground. After the stone falls 7.0 m, Jill throws a second stone straight down. Both rocks hit the water at the exact same time. What was the initial velocity of Jill's rock

Answers

Answer:

v = 19 m/s

Explanation:

Since both rocks hit the water at the same time, and we know the total height of the bridge, we can get the time that it takes to the first rock to travel this height, due it is said that it was dropped, using the following kinematic equation:

       [tex]\Delta h = \frac{1}{2} * g * t^{2} (1)[/tex]      

Replacing by the givens (Δh =21 m and g = 9.8 m/s2), and solving for t we get:

       [tex]t = \sqrt{\frac{2*21m}{9.8m/s2}} = 2.1 s (2)[/tex]

Now we need the time traveled by the first rock when it fell 7 m, that when the second rock was thrown, because the difference between the total time and this one will be the flight time for the second rock.We can use the same equation (1) replacing Δh by 7 m, and solving for t, in (2) as follows:

       [tex]t = \sqrt{\frac{2*7m}{9.8m/s2}} = 1.2 s (3)[/tex]

So, the total flight time for the second rock it was just the difference between (2) and (3):

       [tex]t_{2} = t_{tot} - t_{1} = 2.1 s - 1.2 s = 0.9 s (4)[/tex]

Since we know the total distance traveled, and the time of flight, we can use the same kinematic equation than in (1) but now taking into account the initial speed for the second rock, as follows:[tex]\Delta h = v_{o}* t_{2} + \frac{1}{2}* g*t_{2} ^{2} (5)[/tex]  Since we know the value of Δh = 21 m and t₂ =0.9s, replacing in (5) and solving for v₀, we get:

       [tex]v_{o} =\frac{(\Delta h -\frac{1}{2}*g*t^{2})}{t_{2} } = \frac{(21m-(\frac{1}{2}*9.8m/s2*(0.9s)^{2}) ) }{(0.9m)} = 19.0 m/s (6)[/tex]

which was the initial velocity of Jill's rock taking as positive the down ward direction.

different between pressure and force​

Answers

Force is mass into acceleration

and pressure is force applied per unit area.

Calculate the heat energy required to convert 4kg of ice at -25℃, to stem, at 100℃, given the specific heat capacity of water is 4200J/(kg℃), , the specific heat capacity of ice is 2100J/(kg℃), the specific latent heat of vaporization of water is 2300 000J/kg.

Answers

Answer:

1,840,000 J

Explanation:

The energy required for a particular change in state is given by the specific latent heat. Specific latent heat is the amount of energy required to change the state of 1 ... of ice into 1 kg of water at its melting point of 0°C. The same amount of energy ... stored or released as the temperature of a system changes can be calculated.

What is the path of an electron moving perpendicular to a uniform magnetic field?

Answers

since their movement is always free pendicular to the force magnetic force no work and the electrons velocity stays constant since the force is F=QVB a constant magnetic field and another from field force of content magnitude always directed perpendicular to its motion the result is a circle Orbit.

Explanation:

this is your answer I hope it is helpful please mark me brainly

What is the speed of a car that traveled total of 75 km in 2 hours? *

Answers

Answer:

speed=distance covered/time taken

=75/2

=37.5 km/hr

Explanation:

average speed = distance move/ time taken

= 75km/2h

= 37.5km/h


Which of the following is the best definition of a physical change?
A. A change in a substance where a new substance is formed
B. A change in a substance in which bonds are broken
C. A change in a substance with no new substances being formed
D. A change in a substance in which mass is conserved

Answers

Answer:

The answer is C. A change in a substance with no new substances being formed

Explanation:

I did the quiz.

The best definition of physical change is a change in a substance, with no new substances being formed. Hence, option C is correct.

What is a Physical Change?

A chemical substance's form, not its chemical composition, can change due to physical changes. In most cases, compounds cannot be separated into chemical components or simpler compounds; instead, mixtures are separated into their constituent compounds through physical changes.

Whenever something changes physically but not chemically, we say that something has changed physically. This is in contrast to the idea of a chemical change, which occurs when a substance's composition changes or when one or more compounds join or fragment to generate new substances. In general, physical means can be employed to undo a physical alteration. For instance, by letting the water evaporate, salt that has been dissolved in it can be reclaimed.

Therefore, this concludes that option C is correct.

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Which of the following terms describes a process that absorbs 672 J from
the surroundings?
O A. Thermal conduction
B. Thermal insulation
C. Exothermic
D. Endothermic

Answers

Answer:

Endothermic

Explanation:

Took the test :^)

The endothermic process that absorbs 672 J from the surroundings.

What is endothermic process?

In thermochemistry, an endothermic process is any process with an increase in the enthalpy H (or internal energy U) of the system.[1] In such a process, a closed system usually absorbs thermal energy from its surroundings, which is heat transfer into the system. It may be a chemical process, such as dissolving ammonium nitrate (NH4NO3) in water (H2O), or a physical process, such as the melting of ice cubes.

The term was coined by Marcellin Berthelot from the Greek roots endo-, derived from the word "endon"  meaning "within", and the root "therm" , meaning "hot" or "warm" in the sense that a process depends on absorbing heat if it is to proceed. The opposite of an endothermic process is an exothermic process, one that releases or "gives out" energy, usually in the form of heat and sometimes as electrical energy. Thus in each term (endothermic and exothermic) the prefix refers to where heat (or electrical energy) goes as the process occurs.

So Endothermic reaction is where heat energy is high inside the substance and reduces the thermal energy outside the substance (outside the substance the temperature drops and the temperature increases inside the substance.)

Learn more about endothermic process

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____ is the study of things getting faster as they move.

A. Anatomy
B. Force
C. Physics
D. Dynamics

Answers

Answer: b force

Explanation:

yes because the world comin g up with more technique

It would be B) Force

Explanation:

F = m•a

Or

Force = mass x acceleration

Dos cargas puntuales iguales y negativas, q1=q2=-24micro C se localizan en x=0 y y=38m y x=0 y y=-7m, respectivamente. Calcula la magnitud de la fuerza electrica total en N que ejercen estas dos cargas sobre una tercera, tambien puntual, Q=26micro C en y=0 y x=16m

Answers

Answer:

 F_net = 9.87 10⁻⁴ N

Explanation:

Let's use that force is a vector magnitude

         ∑ F = F₁₃ + F₂₃

De bold arfe vectros. The force is the electric force, we use that charges of the same sign repel and when the charges are of a different sign they attract

 

the charges q1 and q2 are negative and the charge q3 is positive with the positions y1 = 38 m, y2 = -7m, y3 = 16 m

       ∑ F = F₁₃ - F₂₃

       F_net = [tex]k \frac{q_1q_3}{r_{13}^2 } - k \frac{q_2q_3}{r_{23}^2 }[/tex]

in this case q₁ = q₂ = q

       F_net = k q q₃  (  )

 

      let's look for the distance

      r₂₃ = y₂ - y₃

      r₂₃ = -7 -16

      r₂₃ = - 23 m

       

      r₁₃ = 38 - 16

      r₁₃ = 22 m

let's calculate

      F_net = 9 10⁹ 24 26 10⁻¹² ( )

      F_net = 5.616 ( 1.758 10⁻⁴ )

      F_net = 9.87 10⁻⁴ N

The accepted speed of sound at atmospheric pressure and 0 *C is 331.5 m/s. The speed of sound increases 0.607 m/s for every *C. Calculate the speed of sound at the temperature of your room and compare your measured value to the accepted value.

Answers

Complete Question

The accepted speed of sound at atmospheric pressure and 0 *C is 331.5 m/s. The speed of sound increases 0.607 m/s for every *C. Calculate the speed of sound at the temperature of your room(70F) and compare your measured value to the accepted value.

Answer:

[tex]V_{Tc}=344.314m/s[/tex]

Explanation:

From the question we are told that:

Speed of sound at Temperature [tex]0 \textdegree[/tex] [tex]V_0=331.5m/s[/tex]

Rate of Speed increase [tex]\triangle V_{infty}=0.607[/tex]

Generally the equation for Temperature in Celsius is mathematically given by

 [tex]Tc=\frac{100}{180}(T_f-32)[/tex]

 [tex]Tc=0.56*38[/tex]

 [tex]Tc=21.11 textdegree C[/tex]

Therefore speed at Tc

 [tex]V_{Tc}=V_0+(Tc)( V_{infty})[/tex]

 [tex]V_{Tc}=331.5+(21.11)(0.607)[/tex]

 [tex]V_{Tc}=344.314m/s[/tex]

The solid metallic sphere is replaced with a hollow insulating shell of radius a. A charge Q is spread uniformly over the hollow spherical shell. What is the electric field strength inside the hollow shell at r

Answers

Answer:

Zero

Explanation:

It is given that the charge is uniformly spread at the surface of hollow spherical shells.

There is no charge with in the hollo shell. hence, with zero charge the  electric field intensity is also zero.

Thus,

Magnitude of the electric field strength inside the hollow shell at r is zero

Isotopes of the same element always have the same
(2 points)
O atomic mass number
O A-number
O Z-number
O neutrinos

Answers

Z number (atomic number)

Answer:

Z-number

Explanation:

The Z number is the number of protons in an atom, and this does not change when an isotope is created. I got it right on the test.

You push on a box with a force of 300 N directly north. Another person pushes the box with a
force of 600 N directly east. What is the resultant force?

Answers

Answer:

[tex]resultant \\ \: F = \sqrt{ {300}^{2} + {600}^{2} } \\ = \sqrt{450000} \\ = 670.82 \: newtons[/tex]

Question
1 point
An object of mass 8.0 kg is falling vertically through the air. The drag force acting on the object is 60N. What is the best estimate of the acceleration of
the object?


Answers

Answer:

here's the pdf for it

IB QuestionbankExplanation:

For a galvanic cell to generate an electric current flowing from anode to cathode, what must be true

Answers

Complete question:

For a galvanic cell to generate an electric current flowing from anode to cathode, what must be true?

(a) Electrons flow from the anode to the cathode

(b) Electrons flow from the more negatively charged electrode to the more positively charged electrode

(c) Electrons flow from higher potential energy to lower potential energy

(d) All of the above are true.

Answer:

(d) All of the above are true.

Explanation:

A galvanic or Voltaic cell is a primary type of electrochemical cell that is used to generate electrical energy from the chemical reactions that take place in it.

It consists of a positive electrode (cathode) and a negative electrode (anode) for the movement of charges.

(a) Electrons flow from the anode to the cathode. TRUE

Anode is the negative electrode and for electron current, electrons flow from negative electrode to positive electrode.

(b) Electrons flow from the more negatively charged electrode to the more positively charged electrode. TRUE

Based on electron current flow.

(c) Electrons flow from higher potential energy to lower potential energy. TRUE

The driving force of the electron flow is the potential difference. Electrons must flow from higher potential to lower potential.

All the options are correct, so we select option "D"

Instead of changing the the frequency you can change the tension to produce the next higher harmonic. What percentage of the tension would produce the next higher harmonic?

Answers

Answer:

  [tex]\frac{T}{T_o} = ( 1 + \frac{1}{n} )^2[/tex]

Explanation:

This is a string resonance exercise, the wavelengths in a string held at the ends is

          λ = 2L₀ / n

where n is an integer

the speed of the wave is

           v = λ f

            f = v /λ

the speed of the wave is given by the characteristics of the medium (string)

           v = [tex]\sqrt{\frac{T}{\mu } }[/tex]

we substitute  

            f = [tex]\frac{n}{2L_o} \ \sqrt{\frac{T}{\mu } }[/tex]

to obtain the following harmonic we change n → n + 1

            f’ =  [tex]\frac{n+1}{2L_o} \ \sqrt{\frac{T_o}{\mu } }[/tex]

In this case, it tells us to change the tension to obtain the same frequency.

            f ’= \frac{n}{2L_o} \  \sqrt{\frac{T}{\mu } }

how the two frequencies are equal

         [tex]\frac{n+1}{2L_o} \sqrt{\frac{T_o}{ \mu } } = \frac{n}{2L_o} \sqrt{\frac{T}{\mu } }[/tex]

           (n + 1) [tex]\sqrt{T_o}[/tex] = n [tex]\sqrt{T}[/tex]

             [tex]\frac{T}{T_o} = ( \frac{n+1}{n} )^2[/tex]

             [tex]\frac{T}{T_o} = ( 1 + \frac{1}{n} )^2[/tex]

this is the relationship of the voltages to obtain the following harmonic,

. If the static and kinetic friction between the tire and the inclined plane are 0.2 (static) and 0.15 (kinetic), calculate the maximum inclination angle so that the tire rolls without slipping

Answers

Answer:

81.47°

Explanation:

The forward force on the tire is the horizontal component of its weight along the incline mgcosФ. The frictional force along the incline is μmgsinΦ where mgsinΦ is the vertical component of the tire's weight along the incline.

Since the tire rolls without slipping, then

mgcosФ = μmgsinΦ where μ = coefficient of kinetic friction = 0.15 (since the tire is in motion) and Φ is the angle of the incline.

So, mgcosФ = μmgsinΦ

mgcosФ/mgsinΦ = μ

μ = cosФ/sinΦ

μ = 1/tanФ

tanФ = 1/μ

Φ = tan⁻¹(1/μ)

substituting into the equation, we have

Φ = tan⁻¹(1/0.15)

Φ = tan⁻¹(6.667)

Φ = 81.47°

An oscillating LC circuit consisting of a 1.0 nF capacitor and a 3.0 mH coil has a maximum voltage of 3.0 V. What are (a) the maximum charge on the capacitor, (b) the maximum current through the circuit, and (c) the maximum energy stored in the magnetic field of the coil

Answers

Answer:

[tex]E=4.5*10^-^9J[/tex]

Explanation:

From the question we are told that:

Capacitor [tex]C=1.0nf[/tex]

Induction [tex]I=3.0mH[/tex]

Voltage [tex]V=3.0[/tex]

Generally the equation for Max charge on Capacitor  is mathematically given by

[tex]Q_{max}=C*V[/tex]

[tex]Q_{max}=1*10^{-9}*3[/tex]

[tex]Q_{max}=3*10^{-9}C[/tex]

Generally the equation for Energy in  magnetic field of the coil  is mathematically given by

Since

Energy stored in capacitor = Energy in magnetic field of the coil

Therefore

 [tex]E = (1/2)* C * V^2[/tex]

 [tex]E= 0.5 * 1*10^{-9} *3^2[/tex]

 [tex]E=4.5*10^-^9J[/tex]


What is the wavelength of a wave with a frequency of 262 Hz and a speed of
343 m/s

Answers

Answer:

time perion=1/frequency

so here time period =1/262

let wavelength be x

speed of sound=wave length/time period

342=x/1/262

342=262x

342/262=x

1.30=x

therefore wavelength=1.30 metre

Explanation:

After You Read
Mini Glossary
atomic number: the number of protons in an atom of
an element

mass number: the sum of the number of protons and
neutrons in an atom

average atomic mass: the average mass of the element's
isotopes, weighted according to the abundance of each isotope

nuclear decay: a process that occurs when an unstable atomic
nucleus changes into another more stable nucleus by
emitting radiation

ion: an atom that is no longer neutral because it has gained or
lost electrons

radioactive: spontaneously emits radiation
isotope: an atom of the same element that has a different
number of neutrons

1. Review the terms and their definitions in the Mini Glossary. Write a sentence that
explains how to determine the number of neutrons in an isotope that has 6 protons and
a mass number of 13.

Answers

Answer:

protons+neutrons= mass number, so if the mass number is 13 and protons are 6 its 13-6=7 neutrons

Explanation:

mass number: the sum of the number of protons and

neutrons in an atom

this is key as it explains that protons+neutrons= mass number, so if the mass number is 13 and protons are 6 its 13-6=7 neutrons

one of the lady spartans was falling to the ground after dunking the winning basket. At the end of her fall, she was falling 4 m/s. If she was 60kg, how much potential energy did she have at the top of her jump?

Answers

Answer:

15 is the correct answer I.t.

Sally travels by car from one city to another. She drives for 30 min at 80 km/hr, 12.0 min at 105 km/hr, and 45 min at 40.0 km/hr. What was the total distance traveled?

Answers

Given :

Sally travels by car from one city to another. She drives for 30 min at 80 km/hr, 12.0 min at 105 km/hr, and 45 min at 40.0 km/hr.

To Find :

The total distance traveled.

Solution :

Total distance traveled is given as sum :

Distance = sum of  product of speed and time

D = (v₁ × t₁) + (v₂ × t₂) + (v₃ × t₃)

Putting all given value in this we get :

[tex]D = 80\times \dfrac{30}{60} + 105 \times \dfrac{12}{60} + 40\times \dfrac{45}{60}\\\\D = 91\ km[/tex]

Hence, this is the required solution.

Last stage of a medium mass star

Answers

White Dwarf Stage

This ring is called a planetary nebula. when the last of the helium atoms in the core are fused into carbon atoms, the medium size star begins to die. Gravity causes the last of the star's matter to collapse inward and compact. This is the white dwarf stage.

the last stage of a medium mass star is the white dwarf stage

As you can see from the Group 1 stars, the cooler or hotter a star is, the brighter it will be. Group 2 and Group 3 stars do not follow this pattern. Hence, there must be something besides temperature that can affect how bright a star is. Describe your own hypothesis about these stars (Group 2 and Group 3). Why would their brightness not be strictly related to their temperature

Answers

Answer:

brightness that we observe from a star is related to the energy produced and the distance to the Earth

Explanation:

In stars, the color that we observe is directly related to the temperature of the star by the y of the Wien displacement.

             λ_{max} T = 2,898 10³

the brightness that we observe from a star is related to the energy produced and the distance to the Earth

Other Questions
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