Two astronauts are playing catch in a zero gravitational field. Astronaut 1 of mass m1 is initially moving to the right with speed v1 . Astronaut 2 of mass m2 is initially moving to the right with speed v2>v1 . Astronaut 1 throws a ball of mass m with speed u relative to herself in a direction opposite to her motion. Astronaut 2 catches the ball. The final speed of astronaut 1 is vf,1 and the final speed of astronaut 2 is vf,2 .What is the speed vf,1 of astronaut 1 after throwing the ball?

Answers

Answer 1

The final velocity ([tex]v_1_f[/tex]) of the first astronaut will be greater than the final velocity of the second astronaut ([tex]v_2_f[/tex]) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.

The given parameters;

Mass of the first astronaut, = m₁Mass of the second astronaut, = m₂Initial velocity of the first astronaut, = v₁Initial velocity of the second astronaut, = v₂ > v₁Mass of the ball, = mSpeed of the ball, = uFinal velocity of the first astronaut, = [tex]v_f_1[/tex]Final velocity of the second astronaut, = [tex]v_f_2[/tex]

The final velocity of the first astronaut relative to the second astronaut after throwing the ball is determined by applying the principle of conservation of linear momentum.

[tex]m_1v_1 + m_2v_2 = m_2v_2_f + m_1v_1_f[/tex]

if v₂ > v₁, then [tex]v_1_f > v_2_f[/tex], to conserve the linear momentum.

Thus, the final velocity ([tex]v_1_f[/tex]) of the first astronaut will be greater than the final velocity of the second astronaut ([tex]v_2_f[/tex]) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.

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Related Questions

Question 1(Multiple Choice Worth 2 points)
(02.07 MC)
Which of the following steps is required after biological processes have broken down organic material in wastewater?
A- Bar screening
B- Grit screening
C- Primary clarifiers
D- Disinfection

Answers

Answer:

The answer is c

Explanation:

i had the same question and you have to believe me and if you don't that will be on you

the force on a dropped apple hitting the ground depends upon

Answers

Answer:

F=ma

Explanation:

Force = mass * acceleration

NEED HELP!!! 11 POINTS!!!

Based on Newton’s third law of motion, will a tennis ball go farther if it hits a tennis racquet that is still or one that is in motion?


OPTIONS:
A.
One that is still because it will absorb all of the force of the ball.
B.
One that is still because that will have a greater impact on the trajectory.
C.
One that is in motion because both the ball and the racquet will contribute momentum.
D.
One that is in motion because the racquet’s force will cancel the ball’s force out.

Answers

Answer:

c

Explanation:

because if a tennis ball hit a tennis racket still it would not go anywhere. with the tennis ball hitting the moving racket it will go further

One that is in motion because both the ball and the racquet will contribute momentum.

Thus, option (c) is correct.

Newton's third law of motion states that for every action, there is an equal and opposite reaction.

When the tennis ball hits a tennis racquet in motion, both the ball and the racquet will exert forces on each other in opposite directions.

This interaction will result in a transfer of momentum from the racquet to the ball and vice versa, potentially giving the ball a greater momentum and therefore potentially causing it to go farther.

Thus, option (c) is correct.

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5 Which of the following is a scalar quantity? a. the braking force needed to stop a car b. the effort needed to hammer a nail into wood c. the heat needed to boil some water Ans FOR d. the thrust needed to lift a rocket off the ground​

Answers

Answer:

C) the heat needed to boil some water

Explanation:

A footballer applies a force of 30.0N, for a period of 0.05s, if the mass of the ball is 0.075kg, calculate the speed which half of the ball moves

Answers

Answer: Calculate the speed which half of the ball moves:
By formula: F= m(v-u)/T
Givens m=0.075kg
u=0
T=0.05s
F=30.0N
=> 30.0=0.075(v-0)/0.05
v=20.00m/s^-1

A pugdoodle runs 120 meters
in 18 seconds. What was its
speed?

Answers

Answer:

6.66666 sec/m or 6 2/3 sec/m

Answer:

6.67 meters per second

Explanation:

120/18=6.67 meters per second

A worker pushes a box across the floor to the right at a constant speed with a force of 25N. What can you conclude about the box?
A. An unbalanced force of 25N is acting on the box.
B. The net horizontal force acting on the box is 50N.
C. Friction between the box and the floor is 25N to the left.
D. Friction between the box and the floor is 25N to the right.

Answers

Answer:

C. Friction between the box and the floor is 25N to the left

Explanation:

Answer:

Since the forces exerted on the box are equal and opposite in direction, the net force will be 0, so the box will not move.

Explanation:

UwU

the pressure of a gas is inversely proportional to

Answers

Answer: The pressure of a gas is inversely proportional to its volume.

Explanation:

One way to state Boyle's law is “All other things being equal, the pressure of a gas is inversely proportional to its volume.”

Answer:

One way to state Boyle's law is “All other things being equal, the pressure of a gas is inversely proportional to its volume.”

Explanation:

Hope this helps.

please help i'll mark the brainlest

What are two projects that X decided to "kill"? Why did they abandon these projects

Answers

sorry,pls I don't understand

How much force (in Newtons) acts on a 1700 kg car going around a
80 m radius turn at a speed of 15 m/s?
a) 375
b) 4781
c) 1167
d) 319

Answers

Answer:

b) 4781 N

Explanation:

Because there is a redius do this question is talking about the acceleration force which= mv^2/r

so a=15^2/80=2.8125 m^2/s

so the force will be = m.a

F =1700×2.8125=4781.25 N

someone help me please

Answers

Dark matter pulls the moon around earth in a circular pattern

Answer:

The moon is being pulled to the earth by gravity, so the net force makes a circular pattern.

Explanation:

The force of gravity is a force that pulls objects toward the centre of the earth. The acceleration due to gravity of the moon is about 1.6 metre per second square which is comparatively smaller than the earth's 10metre per second. Therefore, the moon isn't completely pulled to the centre of the earth, but orbits around the earth

Choose a starting point in United states to sail back to Africa. Determine the wind and current correction vectors that would take a ship there. Tell how many months it took to reach land.

Answers

Answer:

I personally think the answer is 5 because if you look at it its 5

7. Circle the letter of the sentences that describe Thomson's model of the
atom.
a. An atom is filled with positive matter.
b. An atom is mostly space with a small nucleus.
c. Negative charges are scattered throughout an atom.

Answers

Answer: c

Explanation:

A monkey on a raft is crossing a river that flows to the east at 8.0m/s. His top paddling speed is 12.0m/sec. He points due south and attempts to cross. If the river is 120m wide, how far downstream will he end up when he reaches the other side?

Answers

The relation of uniform movement allows to find the result for the distance that descended when crossing the river is:

           d = 180 m

Given parameters

The velocity of the river [tex]v_r[/tex] = 8.0 m / s towards the East The speed of the monkey [tex]v_m[/tex] = 12.0 m / s towards the south River width x = 120 m

To find

Distance downstream when crossing.

Velocity is a vector magnitude, it has modulus and direction, therefore vector algebra must be used.

The velocities are constant, let's use the uniform motion relation.

           v = [tex]\frac{d}{t}[/tex]  

In the attached we have a diagram of the movement.  Let's calculate the time to cross the river.

          [tex]v_r = \frac{x}{t}[/tex]  

            [tex]t= \frac{x}{v_r}[/tex]  

            t = [tex]\frac{120}{8.0}[/tex]  

            t = 15 s

The time is a scalar it is the same for the two movements, let's find how much it has descended in this time.

          [tex]v_m = \frac{d}{t}[/tex]  

           d = [tex]v_m t[/tex]  

           d = 12.0  15

           d = 180 m

In conclusion, using the uniform motion relationship we can find the result for the distance that descended when crossing the river is:

           d = 180 m

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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.

Explanation:

In a friendly soccer game, you hit a ball with a speed of 13 m/s at an angle of 24 degrees above the horizontal. (A) How long does it take for the ball to reach the goal if it is 4.2 meters away? (B) How high is the ball when it reaches the goal?

Answers

a) V= 13m/s at 24 degrees

X component of velocity Vx= V*cos24 =11.876 m/s

distance =4.2 meter

time =distance/speed =4.2/11.876 =0.3537 s

b) Vertical component of speed = Vy=vsin24=

5.29 m/s

s=ut+0.5at^2 =5.29880.3537-0.5*9.8*0.3537^2

=1.257 m above ground

Hope I helped! ヾ(^▽^*)))

how long would it take to walk around the world

Answers

It would take about 8,300 hours to walk around the entire earth without stopping, which in days is 345.83, almost a full year.

Explanation:

I think that full 5 or 6 years

Newton’s First Law Scenarios

Taking off from an Aircraft Carrier
The airplane accelerates from 0 to 200 mph in 1.5 seconds. Why are rear-facing passengers' feet tied down? What do their eyes feel like?




Car Accident—Car versus Tree
What happens to the driver's body when his car hits the tree at a high speed?



Car Accident: Rear-end collision
What will happen to the stationary driver who is rear-ended? What device protects him?



Football: Helmet-to-Helmet Collision
What happens to the players' brains inside their skulls?





Roller Coaster Ride
Why does your stomach feel so funny when you go down the big hill?
Why do you feel like you will fly out of your seat at the top of a hill when you are going fast?




Teacups at Disneyland
Why do the riders feel squished together if the teacups spin too fast?

Answers

Answer:Newton’s First Law Scenarios

Taking off from an Aircraft Carrier

The airplane accelerates from 0 to 200 mph in 1.5 seconds.  Why are rear-facing passengers' feet tied down?  What do their eyes feel like?

Because of the speed of the aircraft and how fast its moving  

Car Accident—Car versus Tree

What happens to the driver's body when his car hits the tree at a high speed?

Your body will get slammed forward and into the airbag  

Car Accident:  Rear-end collision

What will happen to the stationary driver who is rear-ended?  What device protects him?

His head will be forced forward that's why they have a airbag and headrests  

Football: Helmet-to-Helmet Collision

What happens to the players' brains inside their skulls?

It rattles and thats whats creates a concussion

Roller Coaster Ride

Why does your stomach feel so funny when you go down the big hill?

Because your stomach rises because of the sudden dip  

Why do you feel like you will fly out of your seat at the top of a hill when you are going fast?

Because the car has more down force  

Teacups at Disneyland

Why do the riders feel squished together if the teacups spin too fast?

Because they are pushed to the outside  

Explanation:Newton’s First Law Scenarios

Taking off from an Aircraft Carrier

The airplane accelerates from 0 to 200 mph in 1.5 seconds.  Why are rear-facing passengers' feet tied down?  What do their eyes feel like?

Because of the speed of the aircraft and how fast its moving  

Car Accident—Car versus Tree

What happens to the driver's body when his car hits the tree at a high speed?

Your body will get slammed forward and into the airbag  

Car Accident:  Rear-end collision

What will happen to the stationary driver who is rear-ended?  What device protects him?

His head will be forced forward that's why they have a airbag and headrests  

Football: Helmet-to-Helmet Collision

What happens to the players' brains inside their skulls?

It rattles and thats whats creates a concussion

Roller Coaster Ride

Why does your stomach feel so funny when you go down the big hill?

Because your stomach rises because of the sudden dip  

Why do you feel like you will fly out of your seat at the top of a hill when you are going fast?

Because the car has more down force  

Teacups at Disneyland

Why do the riders feel squished together if the teacups spin too fast?

Because they are pushed to the outside  

QUESTION 14
The sides of a small rectangular box are measured to be 1.75 +/- 0.01 cm, 7.25 +/- 0.02 cm, and 8.5 +/- 0.1 cm long. Calculate the uncertainty in its volume in cubic centimeters
A) 1.2x10^-3 cm^3
B) 0.13 cm^3
C) 2 cm^3
D)0.02 cm^3

Answers

Answer:

firts divide then multiply divide again and your and your answer should d

5. It takes Billy 10 minutes to run 1 mile. What is his speed in miles
per minute?

Answers

Answer:

0.1 miles

Explanation:

1mile/10 minutes

to get some miles/1 minute:

since you divided the 10 minutes to get 1 minute you also divide the 1 mile by 10 to get the number of miles per minutes

ei 1/10 = 0.1 miles

how is the lens able to change its refractive power?

Answers

Answer:

The lens can sharpen the curvature of its front and back surfaces, increasing its focusing power.

Explanation:

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

What is refractive power of lens?

The optical power of a lens is the degree to which the lens is able to converge or diverge light.

The optical power of a lens is measured in Diopters, and obtained by taking the reciprocal of the focal length in meters.

P = 1/F

How lens changes its refractive power

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

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1. Lava Bombs A volcano shoots out blobs of molten lava, called lava bombs, from its summit, as shown in Figure 3.33. A geologist observing the eruption uses a stopwatch to time the flight of a lava bomb that is projected straight upward. If the time for it to rise to its maximum height is 2.38 s and its acceleration is 9.81 m/s-downward, what was its initial speed?​

Answers

Answer:

46.55m/s

Explanation:

NEED HELP!!!!!!! 13 POINTS!!!!

Alana wants to add some eccentric exercise to her routine. She has heard that pull ups are good, but she does not have a lot of upper body strength and thinks that is going to be too challenging. She wonders if she can start by just hanging on at the top with her chin above the bar and holding that pose to get the benefits. What is the BEST response to Alana?
A.
Any activity that works the arms is eccentric exercise.
B.
That might build strength, but it is not eccentric exercise.
C.
She will get all of the benefits because grasping the bar key.
D.
She needs to do something else as pull-ups are not eccentric exercise.

Answers

Answer:

the answer should be B

Explanation:

i got it right on edmentum

what is an asteroid called that is smaller than a couple meters wide?

Answers

Answer:

Meteoroids

Explanation:

Meteoroids are significantly smaller than asteroids, and range in size from small grains to one-meter-wide objects. Objects smaller than this are classified as micrometeoroids or space dust.

The term by which an asteroid called is smaller than a couple of meters wide is a meteorite.

What are meteorites?

A meteorite is a small group of rocks and debris. They are made by the collection of dust and small pebbles. They are smaller than asteroids, and they are formed in outer space, and they fall on earth from outer space, and when they fall into the earth with that great speed, they attain heat.

Meteorites also consist of metals, like nickel, carbides, sulfides, etc. It has been said that in old times the meteorite that contain iron, fall into the earth and the iron from them melted into the core of the earth. They are of different shapes and sizes.

Thus, the term by which an asteroid called is smaller than a couple of meters wide is a meteorite.

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3 situations that give friction a “bad reputation”​

Answers

Friction raises negative thoughts in most designer’s minds. When you ask designers about friction, most of them will tell you that friction damages a UX because it slows down interactions, reduces conversions, and impedes progress. Today frictionless design is the new business goal. Designers seem to be obsessed with the idea of going from A to B in the fastest, smoothest and most efficient way. A good example is the popular Amazon physical dash button, that allows users to order a refill of a specific product in just one click.

An elevator accelerates upward at 1.2 m/s 2 . the acceleration of gravity is 9.8 m/s 2 . what is the upward force exerted by the floor of the elevator on a(n) 62 kg passenger? answer in units of n.

Answers

Answer:

Explanation:

Fr= Fn-P

ma=Fn-mg

Fn= m(a+g)

Fn=62(1.2+9.8)

Fn= 682N

A student is given a red and a blue liquid. The two samples of liquids are
heated in identical beakers over identical Bunsen burners. The red liquid
shows a dramatically faster increase in temperature. Which of these is the
most likely explanation for this? *
O A) The red liquid has a greater mass.
O B) The blue liquid has a smaller mass.
O C) The red liquid has a greater specific heat.
OD) The red liquid has a smaller specific heat

Answers

Option D) The red liquid has a smaller specific heat

When a substance has smaller specific heat it needs less heat to shows changes in it hence making the option D correct.

Answer:

option D) the red liquid has a smaller specific heat

Explanation:

PLS HELP
What is the gravitational force acting on a 53 kg object standing on the surface of the Earth?

a) 5.3 N
b) 63N
c)48N
d) 530N

Answers

Answer:

D.

Explanation:

DId the test

The gravitational force acting on the body of mass 53 Kg on earth will be 530 Newtons.

What is Weight ?

Weight is the force exerted by earth on a body on the surface of earth. Mathematically -

W = mg

Given is a 53 kg object standing on the surface of the Earth.

The gravitational force acting on the body will be same as it weight and will be directed towards the center of earth. Using the formula for weight -

W = mg = 53 x 10 = 530 N                [taken g = 10 m/s²]

Therefore, the gravitational force acting on the body of mass 53 Kg on earth will be 530 Newtons.

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Un resorte experimenta un alargamiento de 7cm al soportar un peso en uno de sus extremos. Si suconstante tiene un valor de 835 N/m, ¿Cuál es el valor de la fuerza de restauración?

Answers

Answer:

ألا تعلم أنني أذكى منك؟

Explanation:

لذا لا تجرؤ على سؤالي هكذا؟

HELPPPP
The graph is the path Beth took on a walk.

A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters.
What does the line from time 6 to 10 indicate?

A. Beth slowed down considerably.
B. Beth turned around and went the other direction.
C. Beth sped up considerably.
D. Beth went farther away from the origin.

Answers

Answer:

3

Explanation:

3

Answer:

B. Beth turned around and went the other direction.

Explanation:

Trust Me

(I answered this yesterday but put it in comments, wow I am NOT tech savvy!)

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The (15-35-15) number on a bag of fertilizer is calculated by an outdated method. All modern fertilizers use PO43- as a source of phosphorus. Use your knowledge of the old methods to determine the moles of phosphorus found in 10.0 grams of (15-35-15)? How did The BEIC treat the Indians? Which equations are in standard form? Check all that applyy = 2x + 52x + 3y = -6o 4x+3y = 12Oy=x-9=Olx 3 = 60 *x+3 = 62 3O x-y = 55x + 3y = 1 Which equation represents the line that is parallel to 5x+y=13 and passes through the point (15,31)? IM GONNA POST ALOT OF HOMEOWRK FOR ALGEBRA 1 CUZ TMRS THE DEADLINE FOR THIS Seven less than twice anumber is negative five.What is the number? Which factor would Anti-Federalists most strongly support? hello mga ka branly please help me my question thank you for your answer SHUCRAN if x=5 and y =-z what's the value of xy-6working needed please asapcorrect answers onlyHOPE EVERYONE IS HAVING A GOOD DAY suppose another line for a chair lift is placed at a constant distance c below the gondola line. what is the equation of the new line? is the new line also parallel to the hill? explain. A hammer falls from a construction worker's hand 30m above the ground at the same time that a filled soft drink can is projected vertically upward from the ground at a velocity of 24 m/s. Where and when will the two objects meet? In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.Prove that ABCD is a parallelogram. Hi could someone please help me thank you The questions is - What is the slope intercept? Then convert your answer to standard form.please help me Im pretty sure the slope intercept is y=1 but I dont know what that would be as standard form would be A lightbulb uses 2,000 J of energy in 1 min and 20 s. What is the power of the lightbulb? Based on the provideddefinitions, which sentenceuses the underlinedvocabulary word correctly?A. I would like a scope of ice cream.B. The scope of her essay was too wide tocover in a three page paper.C. Everyone needs to help scope gifts atthe holidays. A 145-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece. i need to figure this out in the next 20 mins cause i have to turn this in to get a good grade please... What does the atoms of metals have Because of the dominance of the two-party system, ______________ candidates often struggle to raise both funds and the visibility of their campaigns. electoral Republican Democratic third-party I GIVE BRAINLIST ON ALL MY QUESTIONS!! Refer to the explorations in literature for a complete version of this story Read these sentences about a trip to the market from araby in which Joyce employs to religious imagery what describing the boys feelings for his man fans sister these noises concevergre in a single sensation of life for me I imagined that i bored my chalice safely through a throng of foes her name sprang to my lips at moments in strange prayers and praises which I myself did not understand how does this description affect the meaning of this passage ? A) it depicts how a boys wild imagination causes him to get carried away B) it expresses how the boys confusion about his catholic faith affects his behavior and daily life C) it describes how a boys trip to the market with his aunt becomes a religious quest D) it shows how the boy aligns his feelings of romantic love with a sense of deep religious devotion