two 100 kg astronauts are floating in space. the first astronaut is moving at 5 m/s while the second is at rest. the two astronauts collide. both astronauts are moving at 3 m/s. based on the information provided, which of the following statements is true?

Two 100 Kg Astronauts Are Floating In Space. The First Astronaut Is Moving At 5 M/s While The Second

Answers

Answer 1

Answer:

The true statement is;

Neither momentum or kinetic energy is conserved

Explanation:

The question relates to the verification of the conservation of linear momentum, and kinetic energy

The given parameters are;

The mass of each astronaut = 100 kg

From which, we have;

The mass of the moving astronaut, m₁ = 100 kg

The mass of the stationary astronaut, m₂ = 100 kg

The initial velocity of the moving astronaut, v₁ = 5 m/s

The initial velocity of the stationary astronaut, v₂ = 0 m/s

The final velocity of both astronauts, v₃ = 3 m/s

The sum of the initial momentum of both astronauts is given as follows;

[tex]P_{initial}[/tex] = m₁·v₁ + m₂·v₂ = 100 kg × 5 m/s + 100 kg × 0 m/s = 500 kg·m/s

[tex]P_{initial}[/tex] = 500 kg·m/s

The sum of the final momentum of the astronauts is given as follows;

[tex]P_{final}[/tex] = m₁·v₃ + m₂·v₃ = (m₁ + m₂) × v₃ = (100 kg + 100 kg) × 3 m/s = 600 kg·m/s

[tex]P_{final}[/tex] = 600 kg·m/s

∴ [tex]P_{initial}[/tex] = 500 kg·m/s ≠ [tex]P_{final}[/tex] = 600 kg·m/s

[tex]P_{initial}[/tex] < [tex]P_{final}[/tex], therefore, the sum of the linear momentum of both astronauts is not conserved

The sum of the initial kinetic energy of each astronaut is given as follows;

[tex]K.E._{initial}[/tex] = 1/2·m₁·v₁² + 1/2·m₂·v₂² = 1/2 × 100 kg × (5 m/s)² + 1/2 × 100 kg × (0 m/s)² = 1250 Joules

[tex]K.E._{initial}[/tex] = 1250 Joules

The sum of the final kinetic energy of the astronaut is given as follows;

[tex]K.E._{final}[/tex] = 1/2·m₁·v₃² + 1/2·m₂·v₃² = 1/2 × 100 kg × (3 m/s)² + 1/2 × 100 kg × (3 m/s)² = 900 joules

[tex]K.E._{final}[/tex] = 900 joules

[tex]K.E._{initial}[/tex] > [tex]K.E._{final}[/tex], therefore, the kinetic energy is not conserved

From which we get that neither momentum or kinetic energy is conserved.


Related Questions

what are the standard units of displacement?

Answers

the answer is meters....I think??

An object is placed 1.0 cm from a convex mirror with a focal length of 4.0 cm.

Answers

Answer:

image distanc=-0.8cm

Explanation:

.8 is the answer, sorry I do not have the proof.
But the other guy DOES NOT know how to write.

A projectile is sitting on top of a cliff that is 250m above ground. The projectile is
launched with a horizontal speed of 25m/s

(a) How far from the base of the cliff did the projectile “land?”

(b) What is the vertical speed of the projectile when it lands [just before it hits
the ground]?

(c) How long did it take the projectile to reach the ground?

Answers

a. 178.5 m

b. 69.97 m/s

c. 7.14 s

Further explanation

Given

height = 250 m

vox = 25 m/s

Required

distance from base

vertical speed(vy)

time to reach ground

Solution

voy = 0

h=voy.t + 1/2 gt²

h = 1/2gt²

250 = 1/2.9.8 t²

t=7.14 s

x = vox.t

x = 25 x 7.14

x = 178.5 m

vy = voy + gt(voy=0)

vy = 9.8 x 7.14

vy = 69.97 m/s

Explain why you have to close the switch in order for the electromagnet to pick up any paperclips.

Answers

To start the magnetic field

Plants make ___________ using carbon dioxide, water and energy from the sun.
a Minerals
b Vitamins
c Carbohydrates
dFats

Answers

Answer:

I think it's carbohydrates

Explanation:

The energy from light causes a chemical reaction that breaks down the molecules of carbon dioxide and water and reorganizes them to make the sugar (glucose) and oxygen gas.

Describe a way that gravity influenced the formation of the solar system, with the planets orbiting the sun.

Answers

Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.

Gravity influenced the formation of the solar system, with the planets orbiting the sun.

What is Gravitational Force ?

Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,

F [tex]\alpha[/tex] m₁.m₂

F [tex]\alpha[/tex] 1/r²

F = G m₁,m₂÷r²

where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².

Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].

According to Kepler's first law of motion, every planet is moving in an elliptical orbit with sun has situated at one of the foci of the orbit.

when a planet moves in the orbit around the sun, it moves in a stable orbit. in this orbit , centripetal force is equal to centrifugal force, in this case centripetal force appears as gravitational force. Means Gravitational force between sun and planet balances the centrifugal force which is outwards. In such a way gravity influenced the formation of the solar system.

Hence gravity plays crucial role in the formation of solar system.

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Ek = 12 x m X v2. Re-arrange to give an equation for:

a) The mass m.
b) Velocity squared v2.
c) Velocity.

Answers

Answer:

a) [tex]m = \frac{2\cdot E_{k}}{v^{2}}[/tex], b) [tex]v^{2} = \frac{2\cdot E_{k}}{m}[/tex], c) [tex]v = \sqrt{\frac{2\cdot E_{k}}{m } }[/tex]

Explanation:

a) Translational kinetic energy ([tex]E_{k}[/tex]), measured in joules, is represented by the following expression:

[tex]E_{k} = \frac{1}{2}\cdot m \cdot v^{2}[/tex] (1)

Where:

[tex]m[/tex] - Mass, measured in kilograms.

[tex]v[/tex] - Velocity, measured in meters per second.

Now we clear the mass within the formula:

[tex]E_{k} = \frac{1}{2}\cdot m\cdot v^{2}[/tex]

[tex]2\cdot E_{k} = m\cdot v^{2}[/tex]

[tex]m = \frac{2\cdot E_{k}}{v^{2}}[/tex]

b) Now we clear the velocity squared:

[tex]v^{2} = \frac{2\cdot E_{k}}{m}[/tex]

c) Now we clear the velocity:

[tex]v = \sqrt{\frac{2\cdot E_{k}}{m } }[/tex]

how many molecules is in this formula 3H2O​

Answers

Answer: There are 9 molecules.

Explanation: 3H2O has 6 hydrogen atoms and 3 oxygen atoms. Heres a diagram.

HHO + HHO + HHO = 3H2O

Mr. White drops a bowling ball and a feather from the top of the Washington Monument.

a) Which will hit the ground first?  Why?

b) If Mr. White were to repeat this experiment inside a vacuum chamber, which would hit the ground first?  Why?

If you can provide some explanation I would greatly appreciate it! :)

Answers

Answer:

A) The bowling ball will hit the ground first. It is heavier, which has greater density, allowing it to reach the ground first.

B) Feather. If you want to be able to blow a bowling ball in a vaccum cleaner, it's almost impossible since it's very heavy. If it's a feather, it would be easier as it's light and the air inside it is able to force it down.

Note: I haven't learnt physics at all yet, this is just an attempt. I'm in 7th grade currently and I will probably be taking physics sometime in 9th grade.

hii please help i’ll give brainliest if you give a correct answer please

Answers

Answer:

D I think

Explanation:

Im just guessing dont trust 100%

A car is pushed with a force of 450 N for 19.4 seconds. What impulse was applied to the car?​

Answers

Answer:

impulse = 8820 kg·[tex]\frac{m}{s}[/tex] or 8820 N·s

Explanation:

Impulse J is equal to the average force [tex]F_{av}[/tex] multiplied by the elapsed time Δt or in equation form, J = [tex]F_{av}[/tex]Δt

As long as your force of 450 N is constant then that value is your average force [tex]F_{av}[/tex] and your elapsed time is 19.4 seconds.

Multiply these values.

You will get an impulse of 8820 kg·[tex]\frac{m}{s}[/tex] or 8820 N·s.

Taco Bell sells 6 Tacos for $9.00. Del Taco sells 4 tacos for $8.00. is a better deal, because it costs less per taco.

Answers

Answer:

I'd say taco bell is a better deal, because you get more tacos.

Explanation:

but that's just what I think

Taco bell is a better deal if you divide the taco bell 9.00/6 you get 1.5 then if you divide 8.00/4 you get 2 so the Taco Bell would be cheaper per taco

A car accelerates from 20.0 m/s to 28.0 m/s over a distance of 50.0 m. What is the car’s acceleration?

Answers

Answer:

Explanation:

[tex]V^2=V^2_o+2a(x_f-x_i)[/tex]

[tex]28^2=20^2+2a(50)\\784=400+100a\\384=100a\\a=3.84m/s^2[/tex]

A force of 900 N pushes a wedge 0.10 m into a log. If the work done on the log is 50 J, what is the efficiency of the wedge?

Answers

Answer:

I'm fairly certain it's 1,800

Explanation:

The efficiency of the wedge with force F=900 N displaces the wedge 0.10 m is 55.55%  or 56%.

What is the efficiency of the machine?

The efficiency of the machine equals the ratio of output energy and input energy. It is also defined as the ratio of work done on a load by the machine to the work done on the effort by the machine.

A load is defined as the weight lifted by the machine. The effort is defined as the force applied to bring the desired change in the load. Work done is defined as the product of force and displacement.

The efficiency, η = Output power / Input power, and the highest efficiency of the machine is equal to one. The efficiency of the machine has no unit. The efficiency η = (Actual work done / Ideal work done) × 100.

From the given,

Force = 900 N

Displacement = 0.1 m

Work done = F × s = 900×0.1 = 90 J

Actual work done = 50 J

Efficiency,η = (50/90) × 100

           η  = 55.55 %

Thus, the efficiency of the wedge is 55.56%.

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Which is larger, 12 kilometers or 7.5 miles? Show you’re work plz ASAP!!!!!

Answers

Answer:

there are just a bit over 1.6 km in a mile so 7.5*1.6=12. something so there is just a little bit more distance in 7.5 miles

Explanation:

A projectile is shot horizontally from the edge of a cliff, 400 m above the ground. The projectile is traveling horizontally at 65 m/s the moment it leaves the cannon.

What is the initial vertical velocity of the projectile?

Determine the time taken by the projectile to hit the ground.

How far does the projectile land from the base of cliff?

Find the vertical component of the velocity just before the projectile hits the ground.

What is the magnitude of the final vector velocity the instant before it hits the ground?

What is the direction of the final vector velocity the instant before it hits the ground?

Answers

Answer:

a)  [tex]v_{oy}[/tex] = 0,  b)  t = 9.035 s, c) x = 587.275 m, d)  v_y = -88.54 m / s,

e) v = 109.84 m / s,  f)  θ = -53.7º

Explanation:

This exercise is a projectile launch

a) as the projectile is launched horizontally, its initial vertical velocity is zero

          [tex]v_{oy}[/tex] = 0

b) let's use the relation

          y = y₀ + v_{oy} t - ½ g t²

when reaching the ground y = 0 and the initial vertical velocity is v_{oy}=0

         0 = y₀ + 0 - ½ g t²

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

         t = [tex]\sqrt{ \frac{ 2 \ 400 }{ 9.8} }[/tex]

         t = 9.035 s

c) the horizontal distance is

         x = v₀ₓ t

         x = 65  9.035

         x = 587.275 m

d) the vertical speed when touching the ground

         v_y = [tex]v_{oy}[/tex] -gt

         v_y = 0 - 9.8 9.035

          v_y = -88.54 m / s

the negative sign indicates that the velocity is directed downwards

e) the velocity at this point

          v = [tex]\sqrt{ v_x^2 + v_y^2}[/tex]

          v = [tex]\sqrt{65^2 + 88.54^2}[/tex]

          v = 109.84 m / s

f) the direction of the velocity

let's use trigonometry

          tan θ = v_y / vₓ

          θ = tan⁻¹1 v_y / vₓ

          θ = tan⁻¹ (-88.54 / 65)

          θ = -53.7º

this angle is measured clockwise


A brick has a density of 21.6 g/cm3 and a mass of 15.4 g. What is the volume of
the brick?

Answers

1.402597402597403cm^3

What unit of time on Earth is based on the revolution of the Earth around the Sun?
A.
day
B.
hour
C.
year
D.
month

Answers

C.) Year

i hope this helped! please mark me as brainliest and 5 stars >:)

Answer:

I believe it's C. Year.

Explanation:

Hope this helps! ^^

i need help asap

The downward force of gravity causes _______ displacement of an object, but the force of gravity does not affect the ________ component of motion.

a.

negative, horizontal

c.

negative, vertical

b.

positive, vertical

d.

None of the above.



Please select the best answer from the choices provided


A

B

C

D

Answers

Answer:

The correct answer is A

Explanation:

I hope it helps ❤❤

Which of the following objects have gravitational potential energy?
A) a diver standing on a diving platform.
B) A hockey puck gliding across the ice.
C) an archers bow that is drawn back.
D) A runner waiting on the starting blocks.

Answers

Answer:

An archers bow that is drawn back

Answer:

A)a diver standing on a diving platform.

REQUESTS/REQUIERMENTS:

BRAINLIEST PLEASE

Pls help this is due today.
Beyonce weighs 500 N and is sitting at one end of a see-saw which is 4 m long and balanced in the middle. Jordan is 2000 N. Where should she sit in order to balance the see-saw?

Answers

Answer:

11 moments docx has the answer

Explanation:

Plz help me plzzz. I'm begging you

Answers

Answer:

a then c then b

Explanation:

A book is resting on a table. The table is raised on one end to an angle of 15° to the floor. If the book remains at rest, what keeps the book from sliding?
A. rolling friction
B. static friction
C. sliding friction
D. fluid friction​

Answers

Answer: Static Friction

Explanation: As you tilt the book you know that it will stay fixed to start with, but eventually, once the angle is large enough, the book will start to slide. It is the static friction force that holds the book in place at small angles of tilt.

The book remains at rest if A book is resting on a table. The table is raised on one end to an angle of 15° to the floor due to static friction, so option C is correct.

What is static friction?

An item is kept at rest by the force of static friction. The phrase "static friction" can be defined as "the friction people perceive when they attempt to move a stationary object on a surface, but without actually causing any relative motion between the body and the surface it is on."

You can predict that the book will initially remain fixed when you tilt it, but once the angle is sufficiently large, it will finally begin to slide. The book is held in place at slight tilt angles by static friction force.

The formula for the coefficient of static friction is μ = tan θ, here θ is the angle of inclination if the angle is bigger the friction force is more but at 90° when the book is vertical then the friction force will not work on the book

Therefore, the book remains at rest if A book is resting on a table. The table is raised on one end to an angle of 15° to the floor due to static friction.

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The three main types of nuclear radiation are alpha, beta, and gamma
Which of the following lists these types of radiation from highest penetrating power to lowest penetrating power?
beta, alpha, gamma
beta, gamma, alpha
ОООО
O gamma, beta, alpha
O alpha, gamma, beta

Answers

Answer:

Gamma, beta, alpha

Explanation:

Gamma rays have the shortest wavelengths of all electromagnetic radiation, has the greatest penetrating power. Gamma rays can pass completely through the human body; as they pass through, they can cause ionizations that damage tissue and DNA. Then Beta particles are more penetrating than alpha particles, but can be stopped by a thin sheet of aluminum.

The correct order of these types of radiation from highest penetrating power to lowest penetrating power is gamma, beta, and alpha. The correct option is C.

Among gamma, beta, and alpha radiation, gamma radiation has the shortest wavelength. This is because gamma radiation consists of high-energy electromagnetic waves, similar to X-rays and light, but with even shorter wavelengths.

In terms of other properties:

Alpha radiation consists of particles called alpha particles, which are helium nuclei (two protons and two neutrons) that are emitted from the nucleus of an atom during radioactive decay. Alpha particles are relatively large and heavy, and they have a positive charge. They have a short range in air and can be stopped by a piece of paper or human skin, but they can cause significant damage to living tissue if they are inhaled or ingested.

Beta radiation consists of particles called beta particles, which are high-energy electrons or positrons that are emitted from the nucleus of an atom during radioactive decay. Beta particles are smaller and lighter than alpha particles, and they have a negative charge. They have a longer range in air than alpha particles, but they can be stopped by a thin sheet of metal or plastic.

Gamma radiation, as mentioned earlier, consists of high-energy electromagnetic waves. Gamma rays are similar to X-rays but have even higher energies and shorter wavelengths. Gamma rays have the longest range in air and require dense materials, such as lead or concrete, to stop them. Gamma radiation is the most penetrating of the three types of radiation and can cause damage to living tissue if exposure is prolonged.

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Science: Work, Power and Efficiency Practice Problems:

Work = Force x Distance
Power = Work / Time
Percent Efficiency = Work
Output/Work Input x 100

Step 1: Write the equation
Step 2: Substitute with units
Step 3: Solve with units
rounding to the nearest tenth

1) It took 639 Newtons to push a table 21 meters. How much work was done?

Answers

Answer:

I believe it is 13,419 joules.

Explanation:

I could be very wrong, please fact check me

Find the following answer based on the image.

Answers

We are given:

Mass of Neptune = 1.03 * 10²⁶ kg

Distance from the center of Neptune (r) = 2.27 * 10⁷

now, computing the value of the acceleration due to gravity (g)

Finding g:

We know the formula:

g = G(mass of planet) / (r)²

g = [6.67 * 10⁻¹¹ * 1.03*10²⁶] / (2.27*10⁷)                      [since G is 6.67*10⁻¹¹]

g = (6.87 * 10¹⁵) / (5.15 * 10¹⁴)

which can be rewritten as:

g = (6.87 * 10¹⁵ * 10⁻¹⁴) / 5.15

g = (6.87 * 10¹⁵⁻¹⁴) / 5.15

g = (6.87/5.15) * 10

g = 1.34 * 10

g = 13.4 m/s² (approx)

A car drives in a circle at 56 km/hr. Which of
the following accurately describes the
motion of the car? The car's -
speed and velocity are both constant.
velocity is constant but speed is changing.
speed is constant but velocity is changing.
speed and velocity are both changing.

Answers

Answer:

Speed is constant but velocity is changing

Explanation:

Speed is a scalar quantity, meaning magnitude only. Velocity is a vector quantity, meaning magnitude and direction. If you're moving in a circle at a constant speed, the speed is constant but the direction is constantly changing. Therefore, the speed is constant but velocity changes.

Define potential energy (PE)

Answers

Stored energy that depends on a position of different parts or movements
potential energy is stored energy that depends upon the relative position of various parts of a system

How are reversibility, time, and entropy connected

Answers

Answer:

As one goes "forward" in time, the second law of thermodynamics says, the entropy of an isolated system can increase, but not decrease. ... Thus, entropy measurement is a way of distinguishing the past from the future.

Explanation:

30 points!!

Electricity seems like a fundamental element in the construction of any home. However, to have electricity run into and out of a home, there must be a complete circuit. Write a brlef essay describing the minimum requirements for any electric circuit. Within your essay, describe the task for each of these elements using your lessons and experience
within this virtual lab.

At least 150 words needed.

Answers

•Most of the components that make up curcuits are conductors. Electricity flows easily thought conductors such as metal or water.Electricity does not flow easily thought insulators such as wood or rubber.

•When a battery is used to power a circuit, the circuit the current must travel from one pole of the battery to the opposite battery.

•Resisotors show the flow of Electricity throught a circuit this can prevent components of the circuit from 'brning out'. In a curcuit diagram, resistors are represented by bending lines.

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