An astronaut uses a Body Mass Measurement Device to measure her mass. Part A If the force constant of the spring is 3200 N/m, her mass is 65 kg, and the amplitude of her oscillation is 1.7 cm, what is her maximum speed during the measurement

Answers

Answer 1

Answer:

v = 0.119 m/s

Explanation:

Given that,

Force constant, k = 3200 N/m

Mass, m = 65 kg

Amplitude of her oscillation is 1.7 cm i.e. 0.017 m

We need to find her maximum speed during the measurement. Let it is v. It is given by the formula as follows :

[tex]v=\sqrt{\dfrac{k}{m}}A[/tex]

Where,

A is the amplitude

[tex]v=\sqrt{\dfrac{3200}{65}}\times 0.017 \\\\v=0.119\ m/s[/tex]

So, the maximum speed is 0.119 m/s.

Answer 2

The maximum speed of the astronaut during the measurement is 0.12 m/s.

The given parameters;

force constant, k = 3200 N/mmass of the astronaut, m = 65 kgamplitude of the oscillation, A = 1.7 cm = 0.017 m

The maximum speed of the astronaut during the measurement is calculated as follows;

[tex]v = \omega A\\\\v = \sqrt{\frac{k}{m} } \times A\\\\v = \sqrt{\frac{3200}{65} } \times 0.017\\\\v = 0.12 \ m/s[/tex]

Thus, the maximum speed of the astronaut during the measurement is 0.12 m/s.

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Related Questions

Which illustration represents the arrangement of particles in a liquid?

Answers

The correct answer is A.

Explanation

In nature, we can find three basic states of material, one of these is gas, that is characterized by far apart particles that move quickly in all directions; the second is solid that is characterized by close particles located in a definite pattern, and these only vibrate without losing its form, and third is the liquid, that is characterized for close particles with an undefined pattern, and its movement is around each other. According to the above, the image that best expresses the arrangement of particles in a liquid is option A, because there are particles close together and move around each other.

Answer:the correct answer is A the foggy looking brain pic

Explanation:

I selected C the separated looking particles that answer was wrong

Which of the following is not true about arid deserts?

a.
They can be found in North America.
b.
The rain falls mostly as snow during the winter.
c.
They are very hot and dry.
d.
The rain often evaporates before it hits the ground.


Please select the best answer from the choices provided
A
B
C
D

Answers

Answer:  B    | The rain falls mostly as snow during the winter.

5. A baseball player bats a ball with a force of 1,000 N. The ball exerts a reaction force against the bat
of...
a. Less than 1,000 N
b. More than 1,000 N
c. 1,000 N
Why???

Answers

Explaining the concept:

Reaction force is the equal and opposite force applied by an object after we apply some force to it

This is explained in the Newton's Third Law of Motion, which says: "For every action, there is an equal and opposite reaction"

This means that any force we apply on an object, it applies the same force on us

Reaction Force exerted by the ball:

We now know what a reaction force is. Now looking at the scenario, we can see that the player applied a force of 1000N on the ball using his bat

The ball will also apply an equal and opposite force on the Bat,

So, the ball will apply a force of 1000N on the Bat

Therefore, Option C is correct

The thermal expansion of a solid is caused by:
a. the breaking of bonds between atoms.
b. increasing the amplitude of the atoms
vibration.
c. increasing the distance between equilibrium
positions for the vibrating atoms.
d. all of the above.

Answers

Answer:

C

Explanation:

The increase in the distance between equilibrium positions for the vibrating atoms.

By increasing the distance between equilibrium positions for the vibrating atoms.  

• The tendency of matter to change its area, shape, density, and volume in response to a change in temperature is termed as thermal expansion.  

• The thermal expansion of a solid can result by enhancing the distance between the equilibrium positions for the vibrating atoms.  

• With the supply of thermal energy, the amplitude of the vibration of the atoms enhances. Thus, post providing some heat energy, the distance between the equilibrium positions for the vibrating atoms enhances.  

Thus, the correct statement is option c.

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Zinc selenide has a band gap of 2.58 eV. Over what range of wavelengths of visible light is it transparent

Answers

This is the answer ok

do ghosts exist?!! and whats tye science behind it​

Answers

Explanation:

ghost do exist and the science behind it is people have experienced paranormal activities

Answer: science has no evidence that ghosts are real

Explanation:

PLZZ ANSWER THE QUESTION ​

Answers

I think the answer is D
(I’m sorry if I’m wrong)

Where does the name basketball come from?

Group of answer choices

ball and basket

round and ball

ball and net

basket and court

Answers

definitely ball and basket

two boats are anchored in the harbor, separated by a horizontal distance of 12m. the boat bob up and down as waves enter

Answers

i believe the answer is okay and

What experimental evidence led to the development of the atomic model before the one before it?

Answers

Rutherford's experimental evidence led to the development of this atomic model from the one before it. According to him, a few of the positive particles pointed at a gold foil appeared to ricochet back off of the light metallic foil. This experimental evidence gives the root the development of the atomic model.

On land, the most massive concrete block you can carry is 25 kg. Given concrete’s 2200‐ kg/m3 density, how massive a block could you carry underwater

Answers

Answer:

46kg approx.

Explanation:

Given data

Density of concrete  ρ_c=2200kg/m3

Mass of concrete m_c= 25kg

In water

[tex]F_{P2} + F_{app}-m_{cg}=0[/tex]

[tex]F_{app}=m_{cg}-F_{P2}[/tex]

Max Fapp = 25*g

Buoyancy force

[tex]F_{P2} = \rho WgV_c= \rho Wg\frac{\rho_c}{m_c}\\\\F_{ p2}= \rho Wg\frac{\rho_c}{m_c}[/tex]

[tex]25*g=m_cg- \rho W g\frac{mW}{\rho_c}= m_cg(1- \frac{\rho W}{\rho_c} )[/tex]

[tex]m_c=25( \frac{\rho_c}{\rho_c- \rho W} )[/tex]

substitute

[tex]m_c=25( \frac{2200}{2200- 1000} )\\\\m_c=25*1.833\\\\m_c=45.8[/tex]

=46kg approx.

How do you think
the reactivity of aluminum compares
to the reactivity of other metals?

Answers

A more reactive metal will displace a less reactive metal from a compound. ... Because aluminum is more reactive than iron, it displaces iron from iron(III) oxide. The aluminum removes oxygen from the iron(III) oxide: iron is reduced.

A more reactive metal will displace a less reactive metal from a compound because aluminum is more reactive than iron, it displaces iron from iron(III) oxide.

What is compound?

Compound has been combination of two or more than two different elements which are said to be chemically bond. So the compound has to be held by the chemical bond. A compound cannot be separate by the physical separation and after that the mixture you cannot be identified that it has compound or not.

Mixture has been combination of the two or more than different chemical elements which has not chemically bond. A mixture has been the physical combination of two or more elements in which the individual identities are remained and it also mixed by the solutions, suspension and colloids.

A compound cannot be separate by the physical separation and after that the mixture you cannot be identified that it has compound or not.Mixture has been combination of the two or more than different chemical elements which has not chemically bond.

Therefore, A more reactive metal will displace a less reactive metal from a compound because aluminum is more reactive than iron, it displaces iron from iron(III) oxide.

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The speed of light can be measured by;
A. Time of planets rotation
B. Distance between objects in space
C. Mass of astronomical bodies

Answers

Answer:

it's the distance between objects in space

Explanation:  Light travels super fast; but it still takes a long time to travel between objects in space. This is because distances between objects in space are enormous.

And can i please receive a brainliest  and have a good day

HELP!!!!!!!!!!!
The earliest multi celled organisms on Earth were:
a
Bacteria
b
Vertebrates
c
Invertebrates
d
Plants

Answers

Answer:

Bacteria

Explanation:

Answer:

The answer is bacteria.

Explanation:

Bacteria were the first known multi-celled organism on Earth.

The diagram shows a transverse wave at a particular instant. The wave is travelling to the right. The frequency of the wave is 12.5 Hz.
At the instant shown the displacement is zero at the point P.
What is the shortest time to elapse before the displacement is zero at point Q?
A 0.01s
B 0.03s
C 0.08s
D 0.10s​

Answers

Answer:

0.03

Explanation:

SONAR is an example of which type of wave behavior? Explain how it works and be sure to name the type of wave involved

Answers

Answer:

sound waves

Explanation:

SONAR (originally an acronym for Sound Navigation And Ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.

In this method, to find the depth of an ocean, a strong ultrasonic wave is sent from the ship towards the bottom of the ocean. This ultrasonic wave is received back after it is reflected from the bottom of the sea. The time interval t for travel of sound waves from the source to the receiver after reflection is noted.The distance travelled by the ultrasound ray is given by the equation:  2d=vt, where v is the velocity of sound. From this the depth d can be calculated.

Answer:

Sonar uses sound waves to 'see' in the water.

Sonar, short for Sound Navigation and Ranging, is helpful for exploring and mapping the ocean because sound waves travel farther in the water than do radar and light waves.Sonar (sound navigation ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.[2] Two types of technology share the name "sonar": passive sonar is essentially listening for the sound made by vessels; active sonar is emitting pulses of sounds and listening for echoes. Sonar may be used as a means of acoustic location and of measurement of the echo characteristics of "targets" in the water. Acoustic location in air was used before the introduction of radar. Sonar may also be used for robot navigation,[3] and SODAR (an upward-looking in-air sonar) is used for atmospheric investigations. The term sonar is also used for the equipment used to generate and receive the sound. The acoustic frequencies used in sonar systems vary from very low (infrasonic) to extremely high (ultrasonic). The study of underwater sound is known as underwater acoustics or hydroacoustics.

A stone is released from rest from a height of 60 m. How long does it take to hit the ground?

4.4 s
2.3 s
5.2 s
3.5 s

Answers

Answer:

3.5 s

Explanation:

Given

[tex]Initial\ Velocity (u) = 0m/s[/tex] --- because it starts from rest

[tex]Height\ (S) = 60\ m[/tex]

Required

Determine time (t) to hit the ground

This can be solved using the following motion equation

[tex]S = ut + \frac{1}{2}gt^2[/tex]

Substitute values for S and u and take g as 9.8m/s^2

[tex]60 = 0 * t + \frac{1}{2} * 9.8 * t^2[/tex]

[tex]60 = 0 + \frac{1}{2} * 9.8 * t^2[/tex]

[tex]60 = \frac{1}{2} * 9.8 * t^2[/tex]

Multiply through by 2

[tex]2 * 60 = 2 * \frac{1}{2} * 9.8 * t^2[/tex]

[tex]120 = 9.8 * t^2[/tex]

Solve for t^2

[tex]t^2 = \frac{120}{9.8}[/tex]

[tex]t^2 = 12.2448979592[/tex]

Take square roots

[tex]t = \sqrt{12.2448979592[/tex]

[tex]t = 3.49927106112[/tex]

[tex]t=3.5\ s[/tex] ---- approximated

It would take a stone released from a height of 60m, 3.5s to hit the ground.

EQUATION OF MOTION:

The time taken for a stone of height 60m to hit the ground can be calculated by using the following formula of motion:

S = ut + ½at²

Where;

S = distance (m)u = initial velocity (m/s)t = time a = acceleration due to gravity (9.8m/s²)

Since the stone is released from rest, it would have a initial velocity of 0m/s.

60 = (0×t) + ½ × 9.8 × t²

60 = 4.9t²

t² = 60 ÷ 4.9

t² = 12.24

t = √12.24

t = 3.5s

Therefore, it would take a stone released from a height of 60m, 3.5s to hit the ground.

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a vector needs to be divided into components when ?

Answers

Answer:

Calculating the magnitude of a vector is only the beginning. The magnitude function opens the door to many possibilities, the first of which is normalization. Normalizing refers to the process of making something “standard” or, well, “normal.” In the case of vectors, let’s assume for the moment that a standard vector has a length of 1. To normalize a vector, therefore, is to take a vector of any length and, keeping it pointing in the same direction, change its length to 1, turning it into what is called a unit vector.To normalize a vector, simply divide each component by its magnitude. This is pretty intuitive. Say a vector is of length 5. Well, 5 divided by 5 is 1. So, looking at our right triangle, we then need to scale the hypotenuse down by dividing by 5. In that process the sides shrink, divided by 5 as well.

I hope this is helpful, Have a Great Day!!

Calculate the amount of kinetic energy a 50 kg runner has when he is going 2 m/s.
Equation: KE = 1/2mv2

Answers

Given:

Mass of the runner (m) = 50 kg

Speed of the runner (v) = 2 m/s

Equation:

[tex] \rm KE = \dfrac{1}{2} mv^2[/tex]

Answer:

By substituting values in the equation, we get:

[tex] \rm KE = \dfrac{1}{2} \times 50 \times 2^2 \\ \\ \rm = \dfrac{1}{2} \times 50 \times 4 \\ \\ \rm = 25 \times 4 \\ \\ \rm = 100 \: J[/tex]

[tex] \therefore [/tex] Kinetic energy of the runner = 100 J

Answer:

Given,

mass(m)=50kg

velocity(v)=2m/s

kinetic energy(K.E.)=?

We know that K.E.=1/2mv2

KE=1/2×50×2^2

Explanation:

=1/2×200

=100 Joule

What is the hydrostatic pressure at the bottom of a vessel in which water 30 cm high and gasoline 10 cm high have been poured? (density = 800)​

Answers

Answer:

P = 3136 Pa

Explanation:

The formula to apply in this case is :

P= rho*g*d  where;

rho = density = 800

g = acceleration due to gravity =9.8 m/s²

d= depth = 10+30 =40 cm = 0.4 m

P= hydrostatic pressure

P= 800 * 9.8 * 0.4

P = 3136 Pa

Which refers to the area on the thermometer marked with the letter A? scale bulb mercury strip number line

Answers

Answer:

The answer is numberline, D

Explanation:

I got it right on edge

Answer:

A

Explanation:

Scale

Got it right on Edge:)

A ball is still live when
1. A hand off has been dropped
2. The quarterback does not catch the snap
3. Both A and B

Answers

It’s both A and B, because technically whenever you drop the ball. It’s called a fumble, and whenever the qb does not catch the snap, the defenders go for it and huddle it so it’s 100% A and B

what is the meaning of mito​

Answers

Explanation:

A disorder that occurs when structures that produce energy for a cell malfunction.

A common factor among mitochondrial diseases is that the mitochondria are unable to completely burn food and oxygen to generate energy, which is essential for normal cell function. It's often inherited

If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

Answers

Q. 380 If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

A. 1 years

B. 4 years

C. 64 years

D. 8 years

Q. 382 If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

A. 8 years

B. 1 years

C. 12 years

D. 64 years

Chapter 4; Problems 3, 5 3) If a planet has an average distance from the Sun of 4 AU, what is its orbital period? P2 = 43 = 64 P = 64 = 8 years

In conclusion:

The answer is 8 years

If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, then the period of the orbit would b 8 years, therefore the correct answer is option D.

What are Kepler's third laws of planetary motion?

The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its elliptical orbit.

a³ = T²

As given in the problem If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units,

4³= T²

T = √64

T = 8 years

Thus, the correct answer is option D.

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Your question is incomplete, the complete question is,

If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

A. 1 year

B. 4 years

C. 64 years

D. 8 years

How fast does lightning move?
90,000 miler per hour
125,000 miles per hour
175,000 miler per second
90,000 milers per second

Answers

Answer:

about 186,000 miles per second

Explanation:

so your closest bet is probably 175 miles per second

Answer:

Correct answer is 90,000 miles PER SECOND

Explanation:

Please can you help?? A skydiver is falling at terminal velocity when she opens her parachute. After a while she reaches a new terminal velocity. How does her new terminal velocity compare to her original terminal velocity?​

Answers

It will decrease because she is loosing momentum and she will begin to slow down.

Which color of light is produced by mixing red light and blue light?
A)white light
B)yellow light
C)magenta light
D)cyan light

Answers

Answer:

the answer is magenta light

Explanation:

When red and blue light are combined, the result is magenta.. When green and blue light are combined, they make cyan. Red and green light make yellow.

Answer:

magenta light

Explanation:

red+blue=purple but the light makes the radius lighter so its magenta

I
5. An electric field has a strength of 10.0 N/C at a distance of 1.00 m from an unknown charge. At
what distance from the charge does the electric field strength equal 2.50 N/C?

Answers

Answer:

The electric field strength is equal to 2.50 newtons per coulomb at a distance of 2 meters.

Explanation:

From Classic Electrostatic Theory, we find that electric field ([tex]E[/tex]), measured in newtons per coulomb, is defined by the following equation:

[tex]E = \frac{F}{q_{O}}[/tex] (1)

Where:

[tex]F[/tex] - Electrostatic force, measured in newtons.

[tex]q_{O}[/tex] - Electric charge, measured in coulombs.

In addition and supposing that phenomena occurs between particles, electrostatic force is modelled after the Coulomb's Law:

[tex]F = \frac{k\cdot q\cdot q_{O}}{r^{2}}[/tex] (2)

Where:

[tex]k[/tex] - Electromagnetic constant, measured in newton-square meters per square coulomb.

[tex]q[/tex], [tex]q_{O}[/tex] - Electric charges, measured in coulomb.

[tex]r[/tex] - Distance between particles, measured in meters.

By applying (2) in (1), we get the following definition of electric field:

[tex]E = \frac{k\cdot q}{r^{2}}[/tex] (3)

Then, we observe that electric field is inversely proportional to the square of the distance. The following relationship is therefore constructed:

[tex]\frac{E_{2}}{E_{1}} = \left(\frac{r_{1}}{r_{2}} \right)^{2}[/tex] (4)

If we know that [tex]E_{1} = 10\,\frac{N}{C}[/tex], [tex]E_{2} = 2.50\,\frac{N}{C}[/tex] and [tex]r_{1} = 1\,m[/tex], then the distance is:

[tex]\left(\frac{E_{2}}{E_{1}} \right)\cdot r_{2}^{2}= r_{1}^{2}[/tex]

[tex]r_{2}^{2}=\left(\frac{E_{1}}{E_{2}} \right)\cdot r_{1}^{2}[/tex]

[tex]r_{2} = r_{1}\cdot \sqrt{\frac{E_{1}}{E_{2}} }[/tex]

[tex]r_{2} = (1\,m)\cdot \sqrt{\frac{10\,\frac{N}{C} }{2.50\,\frac{N}{C} } }[/tex]

[tex]r_{2} = 2\,m[/tex]

The electric field strength is equal to 2.50 newtons per coulomb at a distance of 2 meters.

The objective lens and the eyepiece of a telescope are spaced 85 cm apart. If the eyepiece is123 D what is the total magnification of the telescope?

Answers

Answer:

The magnification would be "103.55". A further explanation is given below.

Explanation:

The given values are:

Distance between lens and eyepiece,

L = 85 cm

Eyepiece is,

= 123 D

Now,

The refractive power of eye piece will be:

⇒ [tex]\frac{1}{f_e}=123D[/tex]

   [tex]f_e=\frac{1}{123D}[/tex]

   [tex]f_e=0.813 \ cm[/tex]

The length of the telescope will be:

⇒ [tex]L=f_0+f_e[/tex]

⇒ [tex]f_0=L-f_e[/tex]

On substituting the values, we get

⇒     [tex]=85-0.813[/tex]

⇒     [tex]=84.187 \ cm[/tex]

Now,

The magnification of the telescope will be:

⇒ [tex]M=\frac{f_0}{f_e}[/tex]

⇒      [tex]=\frac{84.187}{0.813}[/tex]

⇒      [tex]=103.55[/tex]

What is acceleration

Answers

[tex]{\tt{\red{\underline{\underline{\huge{Answer:}}}}}}[/tex]

[tex]\longrightarrow[/tex] The rate of change of velocity per unit time is called acceleration.

[tex]\longrightarrow[/tex] Its SI unit is m/s².

[tex]\huge\boxed{\fcolorbox{blue}{red}{Thank you}} [/tex]

The rate of change of velocity is called acceleration.
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He shook it and grinned sheepishly at the courier, who shrugged his shoulders in sign that they were beaten. Then Francois went up to where Sol-leks stood and called to Buck.What theme is most supported by the ideas in this excerpt? A. Good leaders are strong and intelligent. B. Loyalty can be a very powerful force. C. Only the strong survive in the wilderness. D. We are all ruled by our natural instincts. Please help with this math problem ASAP! Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card? (Use the table to help you solve the problem; you will need to copy it onto a piece of paper Function 1: Sam is 150 feet below sea level in a cave and trying to climb back out to safety at zero elevation. He climbs at a rate of 4 feet perminute. 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