an astronaut on an eva has wandered dangerously far away from the shuttle. she has also exhausted all the fuel in her jet pack. how can she get back to the shuttle?

Answers

Answer 1

The conservation of the momentum allows to find the result of how the astronaut can return to the spacecraft is:

Throwing the thruster away from the ship.

The momentum is defined as the product of the mass and the velocity of the body, for isolated systems the momentum  is conserved. If we define the system as consisting of the astronaut and the evo propellant, this system is isolated and the internal forces become zero. Let's find the moment in two moments.

Initial instant. Astronaut and thrust together.

        p₀ = 0

Final moment. The astronaut now the thruster in the opposite direction of the ship.

       [tex]m_f[/tex] = m v + M v '

where m is propellant mass and M the astronaut mass.

As the moment is preserved.

       0 = m v + M v ’

      v ’= [tex]- \frac{m}{M} \ v[/tex]  

We can see that the astronaut's speed is in the opposite direction to the propeller, that is, in the direction of the ship.

The magnitude of the velocity is given by the relationship between the masses.

In conclusion, using the conservation of the momentun we can find the result of how the astronaut can return to the ship is:

Throwing the thruster away from the ship.

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Related Questions

which contains the particles that are vibrating fastest?

Answers

Answer:

Boiling water

Explanation:

l am so confused is it right?

Answers

Answer:

D

Explanation:

First,mg>fv: It does a download acceleration,and the speed of the object increase.

Second,mg=fv: it hasn't a acceleration.

you can think the f is a constant.

if an inelastic collision takes place, during the collision, what is conserved?

Answers

Answer:

An inelastic collision is a collision in which there is a loss of kinetic energy. While momentum of the system is conserved in an inelastic collision, kinetic energy is not.

pls answer the question I will make you as brainiest​

Answers

Answer:

Answer in the drawing. Please mark me brainliest

1. Give three examples, from the lab, where potential energy was converted to kinetic energy: ​

Answers

Answer:

A book on a table before it falls.

A yoyo before it is released.

A raised weight.

Explanation:

These are all examples of potential energy. So I hope you can find something that is comparable from the lab.

Need an answer in Meters

Answers

Answer:

• let's first get time

[tex]{ \rm{s = ut + \frac{1}{2}g {t}^{2} }} \\ \\ { \rm{78.4 = 30t + 5 {t}^{2} }} \\ \\ { \rm{ {t}^{2} + 6t - 15.68 = 0}} \\ \\ { \rm{time \approx \: 2 \: seconds}}[/tex]

• let's find horizontal displacement

[tex]{ \rm{s = ut + \frac{1}{2}g {t}^{2} }} \\ \\ { \rm{s = (30 \times 2) \times ( \frac{1}{2} \times 0 \times {2}^{2}) }} \\ \\ { \rm{displacement = 60 \: meters}}[/tex]

g is acceleration due to gravity [ vertically: g is 10 m/s². horizontally: g is 0 ]

i need help with the second question

Answers

Answer:

c i think

Explanation:

Given a table of values for the exponential function f(x) and a description of the
transformation for the function g(x)
, fill out the table of values based on the original
points for glx), the transformed function.
- 1
0
2
16
3
Reflect over
0
2
4
0-4, -1, -12
1
16
.
64
01, 1, 4, 16, 64
,
4, 1, , 162
0-1, -1, –4, – 16, – 64

Answers

Answer:its D

Explanation:

i did the test and got it right

The transformation function of the given exponential function is -1/4, -1, -4, -16, -64. Hence option D is correct.

What is an exponential function?

An exponential function is a mathematical relation to find exponential growth or decay for the given data. It represents the constant change in independent variables and gives the same proportional change.

The exponential function is expressed as f(x) = exp (x) or eˣ where x is variable and e is constant which is called the base of the equation.  

From the given,

the exponential function f(x) = 1/4, 1,4,16,64

The transformation function G(x) is the inverse of the exponential function and is equal to -1/4,-1, -4,-16,-64.

Hence, the ideal solution is option D.

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calculate the surface area of a circle with radius 3.5 CM​

Answers

........loke above in the picture

NEED HELP!!!! 15 POINTS!!!!

Imagine that you are going to make an exercise routine. If your goal was to develop your health rather than one specific improvement, what should be in your plan?
A.
a focus on the benefits of stretching
B.
a variety of aerobic and anaerobic exercises
C.
a single exercise with increasing intensity
D.
an exercise that you have never tried before

PLEASE NO LINKS

Answers

Answer:

c

Explanation:

If the goal of the exercise routine is to develop overall health rather than focusing on one specific improvement, a well-rounded approach that addresses various aspects of fitness would be ideal.

This would involve a combination of different types of exercises to promote cardiovascular health, muscular strength, flexibility, and overall well-being. From the given options, the best choices would be:

B. A variety of aerobic and anaerobic exercises: This option is important because it incorporates both cardiovascular exercises (aerobic) and strength-building exercises (anaerobic), ensuring a balanced approach to fitness.

A. A focus on the benefits of stretching: Stretching is important for maintaining flexibility and preventing injuries. Incorporating stretching exercises, such as static and dynamic stretches, can contribute to overall health and mobility.

D. An exercise that you have never tried before: While not as essential as the first two options, trying new exercises can add variety and excitement to your routine. It can also engage different muscle groups and challenge your body in new ways.

C. A single exercise with increasing intensity: While progressively increasing the intensity of a single exercise can be part of a fitness plan, focusing solely on a single exercise may not provide the diverse benefits that a combination of exercises can offer. Variety is key to a well-rounded fitness routine.

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convert -13°F into (a) °C (b) kelvin​

Answers

Answer:

-25ºC

Explanation:

Explain why adding ice to a drink can cause water droplets (condensation) to appear on the outside of the glass? ​

Answers

Answer:

it just condensed you know it isn't a big deal whatever happens does change anything

to analyze the characteristics and performance of the brakes on a 1500 kg car, researchers collected the data shown in the table above. it shows the car’s speed when the brakes are first applied and the corresponding braking distance required to stop the car. the magnitude of the average braking force on the car is most nearly:

Answers

He magnitude of the average braking force is 12,000 N.

The braking force can be calculated using the following formula:

Braking Force = (0.5 x mass of the car x squared velocity) / distance

Now, let's use this formula to find the Braking force in each case based on the information of the chart:

F = (0.5 x 1,500 x 100) / 6.1  =  12,295F = (0.5 x 1,500 x 400) / 23.9 = 12,550F = (0.5 x 1,500 x 900) / 53.5 = 12,616

Now, let's add the results and divide the result into three to find the average:

12,295 + 12,550 + 12,616 = 37,461/ 3 = 12,487

From these, the option that is the most similar is C 12,000 N

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A horizontal force acts on an object on a fric- tionless horizontal surface. If the force is halved and the mass of the object is doubled, the acceleration will be (1) four times, (2) two times, (3) one-half, (4) one-fourth as great. (b) If the acceleration of the object is , and the force on it is doubled and its mass is halved, what is the new acceleration

Answers

(a)  If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)  if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

The force on an object is determined by applying Newton's second law of motion;

F = ma

[tex]\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}[/tex]

(a)

when the force is halved, F₂ = 0.5F₁,

mass is doubled, m₂ = 2m₁

[tex]\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)[/tex]

Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)

when the force is doubled, F₂ = 2F₁,

mass is halved, m₂ = 0.5m₁

[tex]\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)[/tex]

Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

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Explain how solar and lunar eclipse occur with the help of a labelled diagram.​

Answers

Answer:

a solar eclipse occurs when the moon passes in front of the sun,blocking it out partially or completely. the eclipse results in parts of the earth being covered in the shadow of the moon. a lunar eclipse occurs when the moon passes directly behind earth and into its shadow.

Explanation:

In induction, what charge does a neutral substance gain compared to the object brought near it?

Answers

Explanation:

In induction, what charge does a neutral substance gain compared to the object brought near it?

The neutral object gains the same type of charge as the object that touched it because the electrons move from one object to the other (Figure 10.16). Induction is the movement of electrons within a substance caused by a nearby charged object, without direct contact between the substance and the object.

The charge gained by the neutral substance, gained compared to the object brought near it, had the same kind of charge that was present when it touched it.

What is induction?

The alteration of the distribution of electric charge on a substance is caused by the effect of induction. A negatively charged object brought close to an electrically neutral object causes a positive charge on the near side and a negative charge on the far side of the neutral object as a result of the electric force between charged particles that make up materials.

This very little polarization, or separation of charge, lessens the electric field inside the dielectric.

Because the electrons go from one thing into the next, the neutral object acquires the same kind of charge that was present when it touched it. Lacking physical touch, induction is the movement of electrons within a substance as a result of a nearby charged item.

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What is the relationship between the temperature of a star and its luminosity?

Answers

The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared.

What is final velocity

Answers

Answer:

Final velocity is the velocity which the body has at the end of the given time period.

To hit a fish that he sees beneath the water, where should he aim?

Answers

Ok I guess you are gonna use arrow/spear. Ok so what I learned is that the best place to hit and fish is the gills or the eye(s) because without the gills fish won't be able to breath.If you hit it on the eye it will take a while to kill the fish.The fish will feel lots of pain and start swim like crazy and probably go away.So i will say the BEST way to kill a fish to to hit it's gills.

In case you don't have any materials to kill fish:

IF you are in the wild with fish and you don't have a hook,spear,arrow, etc. I will recommend you to use a rock that his big but easy to grip.Hit the fish on top of its head just behind the eyes.Or get a stick no too thick or too skinny just like between those and start whittle it to a arrow then aim and shoot.

Hope this helps! =D

a spring vibrates 120 times in 2 mins find its frequency and time period​

Answers

2 minutes is 120 seconds, so if you were finding vibrations per minute, it would be 60 times a minute.

what observations about disks of dusty material around young stars suggest that planets may be forming in such disks?

Answers

Planets may be forming from dust disks because these disks are filled with completely empty lanes.

We can arrive at this answer because:

The existence of empty lanes allows the dust disks to transform into many different materials, including new planets.In this case, there is a cooling of the dust disk, which cools more and more over time.This cooling causes all the particles in that disk to clot.Coagulation increases the density of the particles and if they are dense enough they can form escape accretions.

Escape accretions allow for the formation of planetary embryos, which may form planets in the future.

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I WILL MARK U HELP PLZ
The free body diagram for an object is projected. Calculate the net force acting on the object. If this object is 10 kg, how/where will it accelerate?

Answers

Explanation:

By the end of the section, you will be able to:

Apply problem-solving techniques to solve for quantities in more complex systems of forces

Use concepts from kinematics to solve problems using Newton’s laws of motion

Solve more complex equilibrium problems

Solve more complex acceleration problems

Apply calculus to more advanced dynamics problems

through this steps you will get the answer.thank you

A force of 20 N acts upon a 5 kg biock. Calculate the acceleration of the object.

Answers

Answer:

F=ma

Explanation:

Given required solution

F=20N a=? a=F/m

m=5kg a=20/5

a=4m/s^2

9- Where did Rutherford propose that most of the mass of an atom
resided?
a) In the middle of the atom
b) Along the edge of the atom
c) Scattered throughout the atom
d) Orbiting around the atom

Answers

Answer:

A) in the middle of the atom

Explanation:

He concluded that all of the positive charge and the majority of the mass of the atom must be concentrated in a very small space in the atom's interior, which he called the nucleus.

a ball is thrown vertically down from the edge of a cliff with a speed of 5.2m/s how high is the cliff if it took 11s for the ball to reach the ground​

Answers

initial velocity=u=5.2m/sFinal velocity=v=0m/sTime=t=11sHeight=hAcceleration=g=9.8m/s^2

[tex]\\ \sf\longmapsto h=ut+\dfrac{1}{2}gt^2[/tex]

[tex]\\ \sf\longmapsto h=5.2(11)+\dfrac{1}{2}(9.8)(11)^2[/tex]

[tex]\\ \sf\longmapsto h=57.2+4.9(121)[/tex]

[tex]\\ \sf\longmapsto h=57.2+592.9[/tex]

[tex]\\ \sf\longmapsto h=650.1m[/tex]

A 1.35 kg block is pulled across a
flat, frictionless floor with a 3.07 N
force at 32.0° above horizontal.
What is the acceleration of the block?

Answers

Answer:

F=ma

3.07=1.35(a)

3.07/1.35 = a

a=2.27m/s^2

Explanation:

Since the question gives us both the force and mass of the object we can use the f= ma equation and just plug in both the force and mass and just solve for acceleration. I believe the degree listed in the question is just there to throw you off.

what is the acceleration of an object if the force equals 300 N and the mass is 25kg?

Answers

Answer:

Explanation: If a net force of 50 N pulls on a 10 kg object, how much acceleration will it cause? Then an answer is possible. Equation: Net force = mass * acceleration.

what is the acceleration caused by gravity on earth

Answers

Answer:

Explanation:

It's 9.8 m/s^2

A steel projectile is shot horizontally at 54 m/s from the top of a 357 m tower. How far
from the base of the tower does the projectile hit the ground?

Answers

Hi there!

We can begin by solving for the time it takes the projectile to reach the ground.

Use the equation:

[tex]t = \sqrt{\frac{2h}{g}}[/tex]

Plug in the given height:

[tex]t = \sqrt{\frac{2(357)}{9.8}} = 8.536 s[/tex]

Use the equation:

d = vt, to solve for the horizontal distance:

d = (54)(8.536) = 460.944 m

Why does the force between the locomotive and the first car always have to be larger
than the force between the first car and the second?

Answers

Answer:

Because the locomotive does most of the pulling

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