Triply charged uranium-235 and uranium-238 ions are being separated in a mass spectrometer. (The much rarer uranium-235 is used as reactor fuel.) The masses of the ions are 3.90×10−25kg3.90×10−25kg and 3.95×10−25kg,3.95×10−25kg, respectively, and they travel at 3.0×105m/s3.0×105m/s in a 0.250-T field. What is the separation between their paths when they hit a target after traversing a semicircle? (b) Discuss whether this distance between their paths seems to be big enough to be practical in the separation of uranium-235 from uranium-238.

Answers

Answer 1

Answer:

[tex]0.025\ \text{m}[/tex]

Yes

Explanation:

[tex]m_8[/tex] = Mass of uranium 238 ion = [tex]3.95\times 10^{-25}\ \text{kg}[/tex]

[tex]m_5[/tex] = Mass of uranium 235 ion = [tex]3.9\times 10^{-25}\ \text{kg}[/tex]

v = Velocity of ions = [tex]3\times 10^5\ \text{m/s}[/tex]

q = Charge of triply charged ions = [tex]3\times 1.6\times 10^{-19}\ \text{C}[/tex]

B = Magnetic field = 0.25 T

The force balance is

[tex]\dfrac{mv^2}{r}=qvB\\\Rightarrow r=\dfrac{mv}{qB}[/tex]

The difference between the radius of the ions are

[tex]\Delta r=(m_8-m_5)\dfrac{v}{qB}\\\Rightarrow \Delta r=\dfrac{(3.95\times 10^{-25}-3.9\times 10^{-25})\times 3\times 10^5}{3\times 1.6\times 10^{-19}\times 0.25}\\\Rightarrow \Delta r=0.0125\ \text{m}[/tex]

Separation is given by

[tex]\Delta d=2\Delta r=2\times 0.0125\\\Rightarrow \Delta d=0.025\ \text{m}[/tex]

The separation between their paths when they hit a target after traversing a semicircle is [tex]0.025\ \text{m}[/tex].

Yes, the distance between the paths is 2.5 cm is a practical separation between as it is easily measurable.


Related Questions

A small cork with an excess charge of +6.0 μC (1 μC = 10 -6 C) is placed 0.12 m from another cork, which carries a charge of -4.3 μC. a. What is the magnitude of the electric force between the corks? b. Is this force attractive or repulsive? c. How many excess electrons are on the negative cork? d. How many electrons has the positive cork lost?

Answers

Answer:

a.16.125 N b. The force is an attractive force. c. 2.68 × 10¹³ electrons d. 3.75 × 10¹³ electrons

Explanation:

a. What is the magnitude of the electric force between the corks?

The electrostatic force of attraction between the two corks is given by

F = kq₁q₂/r² where k = 9 × 10⁹ Nm²/C², q₁ = +6.0 μC = +6.0 × 10⁻⁶ C, q₂ = -4.3 μC = -4.3 × 10⁻⁶ C and r = distance between the corks = 0.12 m

Substituting the values of the variables into the equation, we have

F = kq₁q₂/r²

F = 9 × 10⁹ Nm²/C² × +6.0 × 10⁻⁶ C × -4.3 × 10⁻⁶ C/(0.12 m)²

= -232.2 × 10⁻³ Nm²/(0.0144 m)²

= -16125 × 10⁻³ N

= -16.125 N

So, the magnitude of the force is 16.125 N

b. Is this force attractive or repulsive?

Since the direction of the force is negative, it is directed towards the positively charged cork, so the force is an attractive force.

c. How many excess electrons are on the negative cork?

Since Q = ne where Q = charge on negative cork = -4.3 μC = -4.3 × 10⁻⁶ C and n = number of excess electrons and e = electron charge = -1.602 × 10⁻¹⁹ C

So n = Q/e = -4.3 × 10⁻⁶ C/-1.602 × 10⁻¹⁹ C = 2.68 × 10¹³ electrons

d. How many electrons has the positive cork lost?

We need to first find the number of excess positive charge n'

Q' = n'q where Q = charge on positive cork = + 6.0 μC = + 6.0 × 10⁻⁶ C and n = number of excess protons and q = proton charge = +1.602 × 10⁻¹⁹ C

So n' = Q'/q = +6.0 × 10⁻⁶ C/+1.602 × 10⁻¹⁹ C = 3.75 × 10¹³ protons

To maintain a positive charge, the number of excess protons equals the number of electrons lost = 3.75 × 10¹³ electrons

the dances created and performed collectively by the ordinary people.

Answers

Answer:

Folk dance

Explanation:

hope i helped :)

How does burning wood compare to the chemical reactions in trees that make them grow?​

Answers

Answer:

Log burning in a fire. Burning wood is an example of a chemical reaction in which wood in the presence of heat and oxygen is transformed into carbon dioxide, water vapor, and ash.

Explanation:

What process do scientists think is causing the movement of Earth’s tectonic plates? Name one other place where this process is occurring naturally.

Answers

Answer:

convection currents in the earth's mantle, heat and pressure within the earth cause the hot magma to flow in convection currents. This causes the movement of the tectonic plates.

rift valley, Africa

plz mark me as brainliest

If an object possesses 500 J of potential energy, how much work is needed to lift this object?


a) 500 J

b) 250 J

c) 150 J

d) 1000 J

Answers

Answer:

a) 500 J

Explanation:

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

In Science, the potential energy possessed by an object or body is the same as the work done by the object or body.

Since we know that the object possessed 500 Joules of potential energy; it would ultimately require to do a work of 500 Joules to lift the object.

Mathematically, work done = force * distance

But force = mass * acceleration due to gravity

F = mg; d = h

Substituting into the work done formula, we have;

Hence, Workdone = Fd = mgh

A car travels 140 miles in 3 hours. What is its velocity?

Answers

Answer:

46.67 miles/s

Explanation:

...........

A 100 watt bulb with 60 volts has a current flow of how many Amps?

Answers

Answer:

I = 1.666... amps

Explanation:

P = I*V or Power = Current * Voltage

(100 watts) = I * (60 Volts)

I = 1.666... amps


Which of the following processes is most likely to have smaller atomic nuclei
as reactants?

Answers

Answer:

It would be B.

Explanation:

the answer would be b

A police car is driving north with a siren making a frequency of 1038 hz. Moops is driving north behind the police car at 12 m/s and hard a frequency of 959hz. How fast is the police car going?

Answers

Answer:

The police car is moving at 41.24 m/s.

Explanation:

To find the speed of the police car we need to use the Doppler equation:

[tex] f = f_{0}(\frac{v + v_{r}}{v + v_{s}}) [/tex]      

Where:

v: is the speed of the sound = 343 m/s

[tex]v_{r}[/tex]: is the speed of the receiver = 12 m/s

[tex]v_{s}[/tex]: is the speed of the source =?

f: is the observed frequency = 959 Hz

f₀: is the emitted frequency = 1038 Hz          

Both terms are positive in the fraction because the velocity of the sound is in the opposite direction to both velocities of the police car and the other car.  

By solving the above equation for [tex]v_{s}[/tex] we have:        

[tex] v_{s} = \frac{f_{0}(v + v_{r})}{f} - v = \frac{1038(343 + 12)}{959} - 343 = 41.24 m/s [/tex]  

Therefore, the police car is moving at 41.24 m/s.

I hope it helps you!                  

What percentage of the starting matter in our solar system went into the formation of our sun?

Answers

Answer:

Eventually the pressure in the core was so great that hydrogen atoms began to combine and form helium, releasing a tremendous amount of energy. With that, our Sun was born, and it eventually amassed more than 99 percent of the available matter

state two other ways in which evaporation is different from boiling​

Answers

evaporation is slower, occurs only from the surface of the liquid, does not produce bubbles, and leads to cooling. boiling is faster, can occur throughout the liquid, produces lots of bubbles, does not result in cooling

A motion sensor emits sound, and detects an echo 0.0115 s after. A short time later, it again emits a sound, and hears an echo after 0.0183 s. How far has the reflecting object moved? (Speed of sound = 343 m/s) (Unit = m)​

Answers

Answer:

1.17 m

Explanation:

From the question,

s₁ = vt₁/2................ Equation 1

Where s₁ = distance of the reflecting object for the first echo, v = speed of the sound in air, t₁ = time to dectect the first echo.

Given: v = 343 m/s, t = 0.0115 s

Substitute into equation 1

s₁ = (343×0.0115)/2

s₁ = 1.97 m.

Similarly,

s₂ = vt₂/2.................. Equation 2

Where s₂ = distance of the reflecting object for the second echo, t₂ = Time taken to detect the second echo

Given: v = 343 m/s, t₂ = 0.0183 s

Substitute into equation 2

s₂ = (343×0.0183)/2

s₂ = 3.14 m

The distance moved by the reflecting object from s₁ to s₂ = s₂-s₁

s₂-s₁ =  (3.14-1.97) m = 1.17 m

What happens when an object is moved against gravity, such as rolling a toy car up a ramp?

Answers

Answer:

it goes up until we help it to but the moment we stop support it gets affected by gravity and goes back

Explanation:

If water is flowing in a 1-inch diameter pipe with an average velocity of 3 m/s and the wall roughness is 400 microns, calculate the wall shear stress.

Answers

Answer:

Shear stress  is 50.63 Pascal

Explanation:

As we know shear stress = [tex]\frac{\rho V^2 f}{8} \\[/tex]

Rho is the density

V is the velocity

f is the value from Moody's chart

We will know determine Reynolds number  to determine the flow type and then the f value

[tex]R_e = \frac{ \rho*V*D}{u}[/tex]

[tex]R_e = \frac{1000*3*0.0254}{0.001} = 76200[/tex]

This is a turbulent flow and hence the roughness index is [tex]\frac{E}{D} = 0.0157[/tex], From this we get f = 0.045

Now shear stress = [tex]\frac{1000 * 3^2 * 0.045}{8} = 50.63[/tex] Pa

POR FAVOR AYUDENME A RESOLVER ESTO:

Halla el coeficiente de dilatación lineal de una varilla que a 10 grados centígrados mide 125 metros y cuya longitud a 85 grados centígrados es 125.20 m. ¿De qué material será?

Answers

Answer:

 α = 2.13 10⁻⁵ C⁻¹    ,  the closest material is ALUMINUM

Explanation:

The expression for thermal expansion is

          ΔL = α L₀ ΔT

temperatures are

         ΔT = 85 - 10 = 75 ° C

the length of the rod is L₀ = 125 m and L_f = 125.20 m

        ΔL = 125.20 - 125 = 0.20 m

        α = [tex]\frac{1}{L_o} \frac{\Delta L }{\Delta T}[/tex]

        α = [tex]\frac{ 1}{125} \ \frac{0.20 }{75}[/tex]

        α = 2.13 10⁻⁵ C⁻¹

When reviewing the table, the closest material is ALUMINUM

The smallest molecules are made up of -
a. 1 atom
b. 2 atoms
c. 3 atoms
The largest molecules are made up of -
a. billions
b. millions
c. hundreds
d. thousands
- of atoms.​

Answers

For the first question the correct answer is B. 2 atoms
Second question the answer is A. Billions

Question:
(need answers now I have time)

A freely-falling object is accelerating.

A. True
B. False​

Answers

Answer:

the answer is true.

Explanation:

hope it will help you

True
Acceleration is a change in velocity and velocity, in turn is a measure of the speed and direction of motion.

When objects fall to the ground, the gravity causes them to accelerate

A tuning fork vibrating in water with a frequency of 840 Hz produces waves that are 2.5 m long. If a tuning fork vibrating at 500 Hz produces the same type of wave in water, what will the wavelength of the waves be?
A) 1.5 m
B) 4.2 m
C) 3.2 m
D) 2.5 m

Answers

Answer:

Option B

Explanation:

As we know

Frequency (F) * wavelength (W) = C (speed of light - can also be taken as constant)

Hence,

[tex]F1 W1 = C\\F2W2 = C[/tex]

Or [tex]F1W1 = F2W2[/tex]

Substituting the given values, we get -

[tex]840 *2.5 = 500 *XX = 4.2[/tex] m

Hence, option B is correct

Eee A student conducts an investigation to determine how the force of gravity affects different objects dropped from different heights. The student tests each object one time and announces that all objects experienced gravity the same way. What is wrong with the student's reasoning?

Answers

Answer:

For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.

Explanation:

The force of gravity comes from Newton's second law with the force the universal attraction

         F = ma

         F = [tex]G \frac{m_1 M}{(R_e +h)^2}[/tex]

we substitute

          [tex]G \frac{m_1 M}{ (R_e+ h)^2}[/tex] = m₁ a

where Re is the radius of the Earth 6.37 106 m

          a = [tex]G\frac{M}{R_e^2} \ ( 1 + \frac{h}{R_e})^{-2}[/tex]

In general, the height is much less than the radius of the earth, therefore the term ha / Re is very small and we can use a series expansion leaving only the first fears.

             (1 + x)⁻² = 1 -2x + [tex]\frac{2 \ 1}{2!}[/tex]  x²

we substitute

          a = g₀ ([tex]1 - 2 \frac{h}{R_e}[/tex] )

with

         g₀ = [tex]G \frac{M}{R_e^2}[/tex]

let's launch the expression.

* For small height compared to the radius of the earth we can neglect the last term

          g = g₀

* For height comparable to the radius of the Earth

          g = g₀  [tex](1 - \frac{2h}{Re} )[/tex]

We see that the acceleration of gravity is decreasing.

For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.

The student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.

The given problem is based on the concept of gravity and gravitational force. The force of gravity comes from Newton's second law with the force the universal attraction as,

F = ma

[tex]F=G\dfrac{mM}{(R+h)^{2}}\\\\\\ma = G\dfrac{mM}{(R+h)^{2}}[/tex]

Here, a is the linear acceleration, m is the mass of object, M is the mass of Earth, R is the radius of Earth and h is the height from where the objects will be dropped. Then,

[tex]a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}[/tex]

In general, the height is much less than the radius of the earth, therefore the term h/ R is very small, hence can be neglected.

[tex]a = \dfrac{GM}{R^{2}}\\\\a=g = \dfrac{GM}{R^{2}}[/tex]

g is the gravitational acceleration.

For small height compared to the radius of the earth we can neglect the last term as,

a = g

And for the height comparable to radius of Earth,

[tex]a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}\\\\a=g \times(1+h/R)^{-2}[/tex]

Clearly, the acceleration of gravity is decreasing, for which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.

Thus, we can conclude that the student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.

Learn more about the gravitational force here:

https://brainly.com/question/15647838

In this reaction, how many miles of CO2 would be produced when methane (CH4) fully reacts with 6 moles of O2? CH4 + 2O2 - 2H2O + CO2

Answers

Answer:

3 moles

Explanation:

Ratio of O2 to CO2 = 2 : 1 = 6 : 3

Which one of the following items contains matter in the plasma state?



Stars



liquid water



ice cubes

Answers

Answer:

Stars i think

Explanation:

A softball player is running at 4.88 m/sec when she slides into second base coming to a stop in .872 seconds. How far did she slide, and what was her acceleration?​

Answers

Answer:

d=v1t - .5at^2

d=4.88 x .872 - 0.5 x (4.88/0.872) x 0.872^2

d=4.255 - 2.12

d= 2.135m

Explanation:

acceleration is negative because she is slowing down.

An electron and a proton are both released from rest, midway between the plates of a charged parallel-plate capacitor. The only force on each of the two particles is the force from the uniform electric field due to the capacitor. Each particle accelerates until striking one of the plates of the capacitor. (There is no gravity in this problem and we ignore the small force between the electron and the proton.) How do the final kinetic energies and final speeds (just before striking a plate) compare

Answers

Answer:

Explanation:

Let the potential difference between the middle point and one of the plate be ΔV .

electric potential energy will be lost and it will be converted into kinetic energy .

Electrical potential energy lost = Vq , where q is charge on charge particle .

For proton

ΔV× q = 1/2 M V² ( kinetic energy of proton )

where M is mass and V be final velocity of proton .

For electron

ΔV× q = 1/2 m v² ( kinetic energy of electron  )

where m is mass and v be final velocity of electron . Charges on proton and electron are same in magnitude .

As LHS of both the equation are same , RHS will also be same . That means the kinetic energy of both proton and electron will be same

1/2 M V² =  1/2 m v²

(V / v )² = ( m / M )

(V / v ) = √ ( m / M )

In other words , their velocities  are  inversely proportional to square root of their masses .

The properties of being
a. clear and bright
b. useful and profitable
make a diamond a gemstone.
c. easy to obtain and beautiful
d. colorful and profitable

Answers

Answer:

D !!!

Explanation:

Answer:

D

Explanation:

Who sponsored Felix Baumgartner in the second space jump that took placed in
2008?

Answers

Alban Geissler, who developed the SKYRAY carbon fiber wing with Christoph Aarns, suggested after Baumgartner's jump that the wing he used was a copy of two prototype SKYRAY wings sold to Red Bull (Baumgartner's sponsor) two years earlier. - wiki

Both the terms immigration ("moving into a population") and emigration ("moving out of a population") come from the Latin word migrare ("to move"). What do you think the prefixes im- and e- mean?

Answers

Answer:

im means into

e means out of

Explanation:

Using the definitions of immigration and emigration as points of reference, the following explanation applies.

Both terms are derived from migration which means moving from one place to another.

By further explanation:

The "im" in the definition of immigration means "into" while the "e" in the definition of emigration means "out of"

A 5000kg elephant steps into a large spring and compresses it from 1m long to 50cm long what is the spring constant of the spring

Answers

Answer: 98 kN/m

Explanation:

Given

Mass of elephant [tex]m=5000\ kg[/tex]

Spring compresses from [tex]1\ m\ (100\ cm) \text{to}\ 50\ cm[/tex]

i.e. change in length is [tex]100-50=50\ cm[/tex]

spring force is given by  [tex]kx[/tex]

where k=spring constant

x=change in length

The weight of elephant must be equal to the spring force

[tex]\Rightarrow W=kx\\\Rightarrow 5000\times 9.8=k\times 0.5\\\Rightarrow k=98,000\ N/m\ or\ 98\ kN/m[/tex]

What unit is kinetic energy measured in?

Answers

centimetres correct yuh

Explanation:

jouleeeee is the unit kinetic energy is measured in and kinetic energy formula is 1/2mv (square)

A rectangular loop with dimensions 4.20 cm by 9.50 cm carries current I. The current in the loop produces a magnetic field at the center of the loop that has magnitude 3.10×10−5 T and direction away from you as you view the plane of the loop. What are the magnitude and direction (clockwise or counterclockwise) of the current in the loop?

Answers

Answer:

1.63 A and in clockwise direction

Explanation:

The magnetic field due to the rectangular loop is :

[tex]$B=\frac{2 \mu_0 I}{\pi}\left(\frac{\sqrt{L^2+W^2}}{LW}\right)$[/tex]

Given : W = 4.20 cm

                [tex]$=4.20 \times 10^{-2} \ m$[/tex]

            L = 9.50 cm

               [tex]$= 9.50 \times 10^{-2} \ m$[/tex]

            [tex]$B = 3.40 \times 10^{-5} \ T $[/tex]

   Rearranging the above equation, we get

[tex]$I=\frac{B \pi LW}{2 \mu_0\sqrt{L^2+W^2}}$[/tex]

[tex]$I=\frac{(3.40 \times 10^{-5}) \pi(9.50 \times 10^{-2})(4.20 \times 10^{-2})}{2(4 \pi \times 10^{-7})\sqrt{(9.50 \times 10^{-2})^2+(4.20 \times 10^{-2})^2}}$[/tex]

I = 1.63 A

So the magnitude of the current in the rectangular loop is 1.63 A.

And the direction of current is clockwise.

define one kilogram mass​

Answers

Answer:

a unit of mass or weight equaling one thousand grams

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Which animal in a pond food chain would be on the same trophic level as a snake in a grassland ecosystem?(A) Algae(B) mosquito larva(C) fish(D) racoon will give brainlyest pls help quickDarin is tired of his CDs getting scratched up and not playing properly. He wants to purchase an mp3 player to solve this problem. The one he wants costs $400. Darin has $175.25 in his checking account. He plans on depositing $40.50 into his checking account each week. Let w = number of weeks. Determine if the statement is true by selecting Yes or No.answers below: A) The inequality 175.25 + 40.50w 400 canbe used to find the number of weeks untilDarin can purchase the mp3 player.YesNoB) The inequality 175.25 + 40.50w > 400 canbe used to find the number of weeks untilDarin can purchase the mp3 player.YesNoC) The inequality 175.25 + 40.50w 400 canbe used to find the number of weeks untilDarin can purchase the mp3 player.YesNoD) The inequality 175.25 + 40.50w < 400 canbe used to find the number of weeks untilDarin can purchase the mp3 player.YesNoE) It will take Darin 5 weeks until he canpurchase the mp3 player.YesNoF) It will take Darin 6 weeks until he canpurchase the mp3 player.YesNo VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST. help needed. please help youll get brianliest Help There are 7 red marbles and 5 blue marbles in a bag.(a) What is the ratio of red marbles to blue marbles?(b) What is the ratio of blue marbles to all marbles in the bag? yeah i need help anyone? Please help me with the question which sides form a right triangle What was the Supreme Courts decision in the Dred Scott case? A. A slave who moved to a free state is considered a citizen. B. A slave who moved to a free state is not a citizen. C. A slave had the right to sue in U.S. courts. D. Slave owners could not transport slaves beyond state lines. uh yeah Im this bad at math I need help on number 4 An astronaut who is repairing the outside of her spaceship accidentally pushes away a 92.9 cm long steel rod, which flies off at 12.5 m/s , never to be seen again. As it happens, the rod is oriented perpendicularly to the magnetic field in that region of space. The rod is moving perpendicularly to its length as well as to the direction of the magnetic field. The magnetic field strength there is 6.23 mT . What is the magnitude of the EMF, in millivolts, induced between the ends of the rod Describing the technologies used in diffrent generation of computer Students are asked to design an experiment to confirm that the pressure and volume of an ideal gas are inversely proportional. They use a cylinder containing an ideal gas that has a plunger equipped with a pressure sensor. They perform several trials, and in each trial they start with the gas at the same initial pressure and volume. The students then quickly push the plunger so that the gas achieves a different final pressure and volume. After analyzing their results, they determine that the final pressures and volumes do not follow an inversely proportional relationship. Which of the following refinements to the procedure would show the inverse proportionality between pressure and volume?A. Compress the gas slowly so that the temperature remains constant.B. Perform more trials to obtain more data points. C. Discard data points that do not show inverse proportionality between pressure and volume. D. Compress the plunger even faster so that the compression is effectively instantaneous. Wendys family lost the power at their house when there was a bad storm. The power was out for 3 days! Wendys neighbors lost power for 68 hours. Whose power was out for a greater amount of time?Can someone help me on this one please? The term human capital flight describes the migration of __________.A.criminals seeking to avoid capital punishment in their home countryB.key individuals from the capital city of their home countryC.bureaucrats to the capital of the host countryD.highly trained or skilled professionals away from their home country Pls help me with this question!! Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedemas 8th grade math class? dose water come from the sewers can someone please help me write an essay about the topic that says "there is too much pressure on youth to have perfect bodies " 1. Sunlight heats the Earth using _______________ heat transfers.A.ConvectionB. RadiationC. ConductionExplain your answer for #1 in detail.