The solar wind consists of protons from the Sun moving toward Earth (the wind actually consists of about 95% protons). The number density of protons at a distance from the Sun equal to the orbital radius of Earth is about 7.0 protons per cubic centimeter. Your research team monitors a satellite that is in orbit around the Sun at a distance from the Sun equal to Earth's orbital radius. You are in charge of the satellite's mass spectrometer, an instrument used to measure the composition and intensity of the solar wind. The aperture of your spectrometer is a circle of radius 28.4 cm. The rate of collection of protons by the spectrometer is such that they constitute a measured current of 91.0 nA. What is the speed of the protons in the solar wind

Answers

Answer 1

Answer:

[tex]\mathbf{V_d = 3.2 \times 10^5 \ m/s}[/tex]

Explanation:

[tex]\text{The speed of the protons can be estimated by using the formula:}[/tex]

[tex]V_d = \dfrac{I}{enA}[/tex]

[tex]where;[/tex]

[tex]\text{e = proton charge}[/tex]

[tex]\text{n = No. of protons per unit volume}[/tex]

[tex]\text{A = area of aperture}[/tex]

[tex]V_d = \dfrac{91 \times 10^{-9} \ A}{(1.602 \times 10^{-19} \ C (7.0 \times 10^6 \ m^{-3} ) (\pi) (0.284 \ m)^2}[/tex]

[tex]\mathbf{V_d = 3.2 \times 10^5 \ m/s}[/tex]


Related Questions

• How much work is
required to lift a 2kg
object 2m high?

Answers

Answer You need to consider that the gravity on earth is 9.8 m/s/s. This means any object you let go on the earths surface will gain 9.8 m/s of speed every second. You need to apply a force on the object in the opposite direction to avoid this acceleration. If you are pushing something up at a constant speed, you are just resisting earths acceleration. The more massive and object is, the greater force is needed to accelerate it. The equation is Force = mass*acceleration. So for a 2kg object in a 9.8 m/s/s gravity you need 2kg*9.8m/s/s = 19.6 Newtons to counteract gravity. Work or energy = force * distance. So to push with 19.6 N over a distance of 2 meters = 19.6 N*2 m = 39.2 Joules of energy. There is an equation that puts together those two equations I just used and it is E = mgh

The amount of Energy to lift an object is (mass) * (acceleration due to gravity) * (height)

:Hence, the Work done to life the mass of 2 kg to a height of 10 m is 196 J. Hope it helps❤️❤️❤️

Explanation:

point.
4.
i. Explain why a particle moving with a constant speed along a circular
path has a radial acceleration.
ii. Show that the acceleration of a body moving in a circular path of
radius r with uniform speed v is → and draw a diagram to show the
direction of the acceleration.
2
iii. Show that the expression à = † is dimensionally correct.​

Answers

Explanation:

Explanation: When a particle moves along a straight path, then the radius of curvature is infinitely great. This means that v2/r is zero. Explanation: When a particle moves with a uniform velocity, then dv/dt will be zero.

The speed of propagation of the action potential (an electrical signal) in a nerve cell depends (inversely) on the diameter of the axon (nerve fiber). If the nerve cell connecting the spinal cord to your feet is 1.3 m long, and the nerve impulse speed is 33 m/s, how long (in s) does it take for the nerve signal to travel this distance?

Answers

Answer:

Explanation:

Speed of electrical nerve signal = 33 m /s

Distance travelled = 1.3 m

time taken = distance / speed

= 1.3 / 33  

= .039 s

= 39 ms ( millisecond )  .

what is the relationship between net impulse and change in momentum?

Answers

Answer:

impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum.

Explanation:

what is the formular for force​

Answers

Answer:

f=m*a

Explanation:

The formula for force says force is equal to mass (m) multiplied by acceleration (a)

A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid. If the diameter of the rod is doubled, by how much would the rate of heat removal change

Answers

Complete question is;

A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid. If the diameter of the rod is doubled, by how much would the rate of heat removal change?

Answer:

182.84 %

Explanation:

Formula for rate of heat transfer of an infinite log fin is given as;

q_f1 = (π/2) × (hk)^(½)) × D^(3/2)) × (T_b - T_∞)

Where D is diameter.

Now, if the diameter of the rod is doubled, it means Diameter is now 2D.

Thus;

q_f2 = (π/2) × (hk)^(½)) × (2D^(3/2)) × (T_b - T_∞)

To find how much the rate of heat removal will change, we will calculate as follows;

((q_f2/q_f1) - 1) × 100

Plugging in the relevant expressions, we have;

([[(π/2) × (hk)^(½)) × ((2D)^(3/2)) × (T_b - T_∞)]/[(π/2) × (hk)^(½)) × (D^(3/2)) × (T_b - T_∞)]] - 1) × 100

Upon simplifying, we have;

(((2D)^(3/2))/(D^(3/2)) - 1) × 100

((2^(3/2)) - 1) × 100

This gives;

182.84 %



The electric field from two charges in the plane of the paper is represented by the dashed lines and arrows below.

Select a response for each statement below. (Use 'North' towards top of page, and 'East' to the right)


The magnitude of the E-field at Ris .... than at M.

The force on a (+) test charge at P is zero.

The magnitude of the charge on the left is .... that on the right.

The force on a (+) test charge at L is directed ....

The force on a (-) test charge at J is directed

The force on a (-) test charge at N is directed ....

The sign of the charge on the right is negative.

Answers

Answer:

a) electric field at point P must be zero

b) harged must be positive

c) force ais in the direction of the electric field

d)  force is in the opposite direction to the electric field

e)  force is in the opposite direction to the field

Explanation:

After reading your exercise, it is unfortunate that the diagram did not come out, but we are going to answer the questions in general.

a) force on a charge (+) is zero

this implies that the electric field at point P must be zero

        F = q E

b) the magnitude of the charge on the left is on the right

this indicates that the charged must be positive since the lines must exit the charge

c) force on load directed towards (direction not indicated)

since the charge is positive the force at point L is in the direction of the electric field at this point

d) force on test load (-) does not indicate direction

The force on a negative charge is in the opposite direction to the electric field at point J

e) Force on a test load (-) at point N

the force is in the opposite direction to the field at point N

Write the laws of reflection​

Answers

Answer:

i) Angle of Reflection = Angle of Incident

ii) Total Angle = 2x Angle of reflection/incidence

iii) The incident ray, reflected ray and the point of incidence lie in the same plane

Hope it helped u,

pls mark as the brainliest        - Ayaan707 for help :) -

^_^

The physics of wind instruments is based on the concept of standing waves. When the player blows into the mouthpiece, the column of air inside the instrument vibrates, and standing waves are produced. Although the acoustics of wind instruments is complicated, a simple description in terms of open and closed tubes can help in understanding the physical phenomena related to these instruments. For example, a flute can be described as an open-open pipe because a flutist covers the mouthpiece of the flute only partially. Meanwhile, a clarinet can be described as an open-closed pipe because the mouthpiece of the clarinet is almost completely closed by the reed.
Consider a pipe of length 80.0 cm open at both ends. What is the lowest frequency f of the sound wave produced when you blow into the pipe?

Answers

Answer:

Explanation:

Lowest frequency will be the fundamental frequency . For fundamental note

λ /2 = L where λ is wavelength of sound produced and L is length of open end pipe .

Given L = 80 cm

λ /2 = 80

λ = 160 cm .

= 1.6 m

frequency of note = velocity of sound / wavelength

= 330 / 1.6

= 206.25 Hz .

206 Hz approx.

. A 13-g goldfinch has a speed of 8.5 m/s. What is its kinetic energy?

Answers

PLEASE PRESS THE “Thanks!” BUTTON! :)
13 g —> 0.013 kg
KE = 1/2(m)(v)^2
KE = 1/2(0.013)(8.5)^2
KE = 0.47 J

The kinetic energy is 0.469 Joule.

The Kinetic energy is given as,

                  [tex]K.E=\frac{1}{2} m*v^{2} [/tex]

Where m is mass and v is speed of object.

Given that,  [tex]m=13g=\frac{13}{1000}=0.013Kg [/tex]  and [tex]v=8.5m/s[/tex]

Substitute values in above expression.

     [tex]K.E=\frac{1}{2}*0.013*(8.5)^{2}=0.469Joule [/tex]

Hence, The kinetic energy is 0.469 Joule.

Learn more:

https://brainly.com/question/12337396

who has brown hair and brown eyes but is a boy

Answers

Answer:

I have strawberry blonde/brown hair blue eyes and a girl lol

Explanation:

convert 0.0345mW
to MW​

Answers

Answer:

3.45e-11MV

that is ur answer

On a car trip you drive for 2 hours and 41 minutes on a highway at a speed of 107.0 km/h. Then you stop at a gas station to fill up your tank. You also eat a quick lunch. The whole break lasts 23 minutes. After the break you start your engine up and you switch to a state road. You drive for another 3 hours and 31 minutes at a speed of 67.0 km/h before you arrive to your destination. What was your average speed for the whole trip with the lunchbreak included

Answers

Answer:

v = 79.3 km/h

Explanation:

By definition, the average speed, is the quotient between the total distance traveled and the time needed to travel that distance.The total time, is the sum of three times: one while driving before stopping at the gas station (t₁), the time spent there (t₂) and the time since leaving the gas station until reaching the final destination (t₃) .Let's convert these times to seconds first:

      [tex]t_{1} = 161 min* \frac{60s}{1min} = 9660 s (1)[/tex]

      [tex]t_{2} = 23 min* \frac{60s}{1min} = 1380 s (2)[/tex]

      [tex]t_{3} = 211 min* \frac{60s}{1min} = 12660 s (3)[/tex]

      [tex]t_{tot} =t_{1} +t_{2} +t_{3} = 9660s + 1380s + 12660s = 23700s (4)[/tex]

In order to find the total distance traveled, we need to add the distance traveled before stopping at the gas station (x₁) and the distance traveled after leaving it (x₂).Applying the definition of average speed, we can find these distances as follows:

       [tex]x_{1} = v_{1} * t_{1} (5)[/tex]

       [tex]x_{2} = v_{2} * t_{3} (6)[/tex]

where v₁ = 107.0 km/h, and v₂= 67.0 km/hAs we did with time, let's convert v₁ and v₂ to m/s:

       [tex]v_{1} = 107.0 km/h*\frac{1000m}{1km}*\frac{1h}{3600s} = 29.7 m/s (7)[/tex]

      [tex]v_{2} = 67.0 km/h*\frac{1000m}{1km}*\frac{1h}{3600s} = 18.6 m/s (8)[/tex]

Replacing (7) and (1) in (5) we get x₁, as follows (in meters):

       [tex]x_{1} = v_{1} * t_{1} = 29.7 m/s * 9660 s = 286902 m (9)[/tex]

Doing the same for x₂ with (3) and (8):

       [tex]x_{2} = v_{2} * t_{3} = 18.6 m/s * 12660 s = 235476 m (10)[/tex]

Total distance traveled is just the sum of (9) and (10):

       [tex]x_{tot} = x_{1} +x_{2} = 286902 m + 235476 m = 522378 m (11)[/tex]

As we have already said, the average speed is just the quotient between (11) and (4), as follows:

       [tex]v_{avg} =\frac{\Delta x}{\Delta t} = \frac{522378m}{23700s} = 22.0 m/s (12)[/tex]

Converted back to km/h:

       [tex]v_{avg} = 22.0 m/s*\frac{1km}{1000m}*\frac{3600s}{1h} = 79.3 km/h (13)[/tex]

The resultant of three vectors is 90.00 cm 34o N of W. If two of these three vectors are 17.89 cm 27o W of S, and 36.00 cm NW, what is the magnitude and direction of the third vector? (Ans: 57.85 cm, 44.76o N of W)

Answers

Answer:

Magnitude of the third vector: 57.85 cm

The direction of the third vector: 44.76 N of W

Explanation:

A block of wood 3 cm on each
side has a mass of 27 g. What is the
density of the block? (Hint, don't
forget to find the volume of the
wood first using lx W h.)

Answers

Answer:

1g/cm3

Explanation:

volume of block is 3 cubed which is 27 cm3

we know density is m/v so d= 27g/27cm3

which is 1g/cm3

if my answer helps please mark as brainliest

Which option correctly matches the chemical formula of a compound with its name?

A. N2O3, dinitrogen trioxide
B. N2O, trinitrogen dioxide
C. N2O, dinitrogen trioxide
D. N2O3, trinitrogen dioxide

Answers

Answer:

A is indeed correct

Explanation:

just did the question

The option that correctly matches the chemical formula of a compound with its name is NO dinitrogen trioxide.

What is dinitrogen trioxide?

Dinitrogen trioxide is one of the simple nitrogen oxide. The chemical compound formula of Dinitrogen trioxide N₂O₃.

That is, it consists of 2 molecules of nitrogen, hence the prefix "Di" and 3 molecules of oxygen given the prefix tri.

Thus, the option that correctly matches the chemical formula of a compound with its name is NO dinitrogen trioxide.

Learn more about Dinitrogen trioxide here: https://brainly.com/question/21392313

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Which 5 are examples of locomotor movements? Select all that apply.
Question 1 options:

Hopping

Galloping

Sitting

Sleeping

Walking

Running

Skipping

Eating

Answers

Answer:

Five examples of locomotor movements are:

Hopping

Galloping

Walking

Running

Skipping

Explanation:

I hope it helps ❤❤

what is the mass of an object that is accelerating at a rate of 25m/s^2 and using 15 N of force

Answers

Answer:

mass = 0.6 kg

Explanation:

Given

Acceleration (a) = 25 m/s²

Force (F) = 15 N

Mass (m) = ?

We know

F = M * a

15 = m * 25

m = 15 / 25

m = 0.6 Kg

Hope it will help :)

The mass of an object that is accelerating at a rate of 25 m/s^2 and using 15 N of force is 0.6 Kg.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question,

Acceleration (a) = 25 m/s²

Force (F) = 15 N

Mass (m) = ?

We know

F = M * a

15 = m * 25

m = 15 / 25

m = 0.6 Kg

The mass of an object that is accelerating at a rate of 25 m/s^2 and using 15 N of force is 0.6 Kg.

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Atoms of which pair of elements will form covalent bonds in a compound? ASAP PLZ

A. Li and Al
B. C and O
C. Co and Fe
D. Na and F

Answers

Answer:B

Explanation:

C and O

Atoms of C and O pair of elements will form covalent bonds in a compound.Therefore the correct option is B.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

These chemical compounds are formed because of different types of bonds between the constituents elements ,the chemical bonds are mainly ionic bonds, covalent bonds,s, and hydrogen bonds.

Ionic bonds are formed due to the transfer of electrons between two bond forming pairs differentiated by their electronegativity.

Covalent bonds are formed by the sharing of electrons.Generally organic compound are formed as the reason of covalent bonds.

The carbon and oxygen atoms share their valence electrons to form a covalent bond, therefore the correct option is B.

Learn more about a chemical compound from here

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What is electronegativity​

Answers

Electronegativity is a measure of an atom's ability to attract shared electrons to itself. On the periodic table, electronegativity generally increases as you move from left to right across a period and decreases as you move down a group.

A proton accelerates from rest in a uniform electric field of 664 N/C. At some later time, its speed is 1.46 106 m/s. (a) Find the magnitude of the acceleration of the proton. m/s2 (b) How long does it take the proton to reach this speed? µs (c) How far has it moved in that interval? m (d) What is its kinetic energy at the later time? J

Answers

Answer:

Explanation:

In an electric field E force on charge q

F = Eq , acceleration a = Eq / m

a = 664 x 1.6 x 10⁻¹⁹ / 1.67 x 10⁻²⁷

= 636.16 x 10⁸ m /s²

b )

initial velocity u = 0

final velocity v = 1.46 x 10⁶ m/s

v = u + at

1.46 x 10⁶ = 0 + 636.16 x 10⁸ x t

t = 2.29 x 10⁻⁵ s

c )

s = ut + 1/2 a t²

= 0 + .5 x 636.16 x 10⁸ x (  2.29 x 10⁻⁵ )²

= 1668 x 10⁻²

= 16.68 m

d )

Kinetic energy = 1/2 m v²

= .5 x 1.67 x 10⁻²⁷ x ( 1.46 x 10⁶ )²

= 1.78 x 10⁻¹⁵ J .

A radio transmitting station operating at a frequency of 125 MHz has two identical antennas that radiate in phase. Antenna B is 9.05 m to the right of antenna A. Consider point P between the antennas and along the line connecting them, a horizontal distance x to the right of antenna A. For what values of x will constructive interference occur at point P?

Answers

Answer:

Explanation:

The formula for frequency is:

[tex]f = \dfrac{c}{\lambda}[/tex]

If we make [tex]\lambda[/tex] the subject; we have:

[tex]\lambda = \dfrac{c}{f}[/tex]

[tex]\lambda = \dfrac{3\times 10^6 \ m/s}{125 \ MHz (\dfrac{10^6 \ Hz}{1 \ MHz})}[/tex]

[tex]\lambda = 2.4 \ m[/tex]

Let assume that there is a point P between antenna A  to B.

where;

A to B = 9.05

A to P = x  and

P to B = 9.05 - x

Then, the condition for the constructive inteference is:

Δx = nλ

x - (9.05 - x) = nλ

2x - 9.05 = n(2.4)

So, we need to start assigning values to n so that the value of x becomes less than or equal to 9.05 m

If n = -1

Then;

2x - 9.05 = (-1)(2.4)

x = 3.325 m

If n = -2

Then;

2x - 9.05 = (-2)(2.4)

x = 2.125 m

If n = -3

Then;

2x - 9.05 = (-3)(2.4)

x = 0.925 m

If n = 0

Then;

2x - 9.05 = (0)(2.4)

x = 4.525 m

If n = 1

2x - 9.05 = (1)(2.4)

x = 5.725 m

If n = 2

Then;

2x - 9.05 = (2)(2.4)

x = 6.925 m

Hence, there exist 7 points in which constructive interference occurs.

Which statement accurately describes a relationship between parts of the
universe?
O A. There are millions of nebulae in a star.
O B. There are thousands of universes in a galaxy.
C. There are trillions of galaxies in the universe.
O D. There are billions of galaxies in a solar system.

Answers

Answer:

C. There are trillions of galaxies in the universe.

Explanation:

A. is wrong as nebulae are found inside galaxies and inside the universe, not inside stars.

B. is wrong because there are trillions of galaxies in the universe, not the latter.

D. The solar system consists of the eight planets, the Sun, comets, meteors, dwarf planets, and is inside the Milky Way galaxy and thus cannot have galaxies inside it.

Please give Brainliest

Answer:

C.

Explanation:

There are trillions of galaxies in the universe.

The steepness of a line on a graph is called the
O A. rise
OB. slope
C.
run
D. verticle axis

Answers

Answer:

slope

Explanation:

The slope is how how steep the line is.

Hrhrhebbsbsbsbbdbfbbfbfbdbdndndndndndndndndn Slope

the distance between crest and the adjacent trough of water waves is 3m, they pass a given point at rate of 5m/s. what is the frequency and the speed of water waves?

Answers

Adujan 3m waves so 3x?

Help with both questions I’ll mark brainliest

Answers

Answer:

gas, liquid, solid

sound cannot travel in space

Answer:

1. gas , liquid , gas

2.sound cannot travel in space

Explain the working and principle of perisocope.​

Answers

Answer:

a periscope use total internal reflection to allow us to see things

the reflection happens at 45°

Explanation:

2. The storage in a river reach at a specified time is 3 hectare-meters. At the same instant, the inflow to the reach is 15 m3/s and the outflow is 20 m3/s. One hour later, the inflow is 20 m3/s and the outflow is 20.5 m3/s. Determine the change in storage in the reach that occurred, during the hour. What is the storage at the end of the hour? (1 hectare = 10000 m2).

Answers

Answer:

The change in storage in the reach that occurred, during the hour  = 43200 m3

The storage at the end of the hour = 129600 m3

Explanation:

Given

Storage =  3 hectare-meters

Inflow volume = 15 m3/s

Outflow volume = 20 m3/s

Storage in one hour of change

Inflow volume = 20 m3/s

Outflow volume = 20.5 m3/s

Outflow volume - Inflow volume = 0.5 m3/s = 0.5 * 24*60 * 60 = 43200 m3

Storage at the end of one hour

43200 m3 + (20-15) * 24*60 * 60 = 129600 m3

How many planets on the solar system?

Answers

Answer:

8

Explanation:

tsijtsiztuztuistizrizturzurz

Answer:

8

Explanation:

Mercury, Venus, earth , Mars, jupiter, saturn , Uranus,Neptune

Problem 4.13: Sound waves travel through air at a speed of 330 m/s. A whistle blast at a frequency of about 1.0 kHz lasts for 2.0 s. (a) Over what distance in space does the "wave train" representing the sound extend? (b) What is the wavelength of the sound? (c) Estimate the precision with which an observer could measure the wavelength. (d) Estimate the precision with which an observer could measure the frequency.

Answers

Answer:

a)  x = 660 m, b)  λ = 0.330 m, c) Δλ = 0.1 cm, d)    Δf = 104

Explanation:

a) the distance in which the train of waves extends can be obtained from the uniform movement

             v = x / t

             x = v t

             x = 330 2

             x = 660 m

b) the speed of sound is related to the wavelength and frequency

             v = λ f

              λ = v / f

              λ = 330/1000

              λ = 0.330 m

c) The precision in the measurement of the wavelength refers to the error or uncertainty in the measurement, if the measurement is direct with a tape measure the precision is the appreciation of the tape measure, in general it is 0.1 cm

d) the accuracy of the frequency in general the frequency is calculated from the measurements of period T

                f = 1 / T

The precision of the period is data by the chronometer used, in general time a press of 0.01s, by the response time of the people

               Δf = df / dT    ΔT

               Δf = 1 / T² ΔT

                Δf = 1 / (0.001)² 0.01

                 Δf = 104

As we can see, a much more precise system is needed to reduce the error

Other Questions
true/false. experiments can measure not only whether a compound is paramagnetic, but also the number of unpaired electrons FILL IN THE BLANK young children tend to be overly ____ about their own abilities, which enhances their self-efficacy and results in improved performance in some situations. the trend depicted in the graph most directly contributed to which of the following developments after 1920 ? What are variables/data/data structures called in oop? a type ia supernova involves the transfer of mass from one star to a companion white dwarf? yet, in some cases, astronomers cannot locate a star near where they see type ia explosions. how do they explain the absence of a companion star? Consider sending a 1500-byte datagram into a link that has an MTU of 500 bytes. Suppose the original datagram is stamped with the identification number 567. Assume that IPv4 is used. The IPv4 header is 20 bytes long. a. How many fragments are generated? Show ealculation. b. What are the values of the fragmentation-related fields in the generated IP datagram(s)? Show all work. Hint: The following 4 items are expected: size, value of its identification, fragment offset, and fragment flag). Prove that the class of context-free languages is closed under the Kleene star operation. To do so, consider a CFG given as: Gi = 1-Ri,Si, Vi } for a language Li. Construct a CFG that accepts L,*. Prove the correctness of your construction. 103 . do the balmer series and the lyman series overlap? why? why not? (hint: calculate the shortest balmer line and the longest lyman line.) expenditures needed to get land ready for its intended use should be: multiple choice question. capitalized as part of the cost of a related building expensed as incurred capitalized as part of the cost of land If an employer is late in paying the State Unemployment Tax contribution, how does this affect the credit against the FUTA tax?The credit is reduced to 90% of the amount of state unemployment tax that was paid late. d) state whether the following statement is true or false: "using the hamming algorithm, we can not only detect single bit errors in this code word, but also correct them" When a user attempts to log into a system, two things occur: identification and authentication. What happens in the identification phase of an access control system?Select one:a. The system infers the user's identityb. The system confirms the user's identityc. The user states their supposed identityd. The system states who it believes the unknown user to be determine the theoretical yield and the percent yield if 21.8 g of k2co3is produced from reacting27.9 g ko2with 29.0 l of co2(at stp). the molar mass of ko2=71.10 g/mol and k2co3=138.21g/mol. Calculate the molarity of a MgSO4 solution prepared by adding 0. 4 moles of MgSO4 to enough water to make 6. 6 L of solution. Answer in units of M Consider a renewal process with mean interarrival time. Suppose that each event of this process is independently"counted" with probability p. Let Nc(t) denote the number ofcounted events by time t, t>0.(b) What is lim t [infinity] Nc(t) / t? the combination of medical treatment in a foreign country with rest and recreation is called _____. Bob tried to open a jar of pickles, but the lid did not budge. The muscles of his hands and arms were inA)isometric contraction.B)dynamic contraction.C)stretch reflex.D)motor pools.E)extension. Anya and Mari are 160 feet apart when they spot each other and they start moving toward one another at the same time. Anya, who is jogging, travels twice as fast as Mari, who is walking (a) (1 pt) If Mari travels 2 ft, how far does Anya travel? If Mari travels 4 ft, how far does Anya travel? Justify by explaining how you arrived at your answer. (b) (1 pt) If Mari travels M ft, how far does Anya travel? Write an expression using M. () (3 pts) Draw a diagram illustrating how far apart Anya and Mari are when they see each other. Include their positions and distance apart after Mari travels 4 feet. Label every length carefully and draw arrows to indicate the directions of travel. (d) (2 pts) Let D represent the varying distance in feet) between mari and Anya. Write D in terms of M. (e) (2 pts) Suppose instead that Anya decides to walk instead of jog. If Anya walks 25% faster than Mari, how far does Anya travel if Mari walks: 4 feet? 5 feet? M feet? parametrize the intersection of the surfaces 22=7, 2 2=9 using = as the parameter (two vector functions are needed). (use symbolic notation and fractions where needed.) The Numbers.txt file contains a list of integer numbers. Complete the code to print the sum of the numbers in the file.f = open('Numbers.txt')lines = f.readlines()f.close()XXXprint(sum)a.sum = 0sum = lines[0] + lines[1]b.sum = 0for i in lines:sum += ic.sum = 0for i in lines:sum += int(i)d.sum = 0sum += lines[0:]