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

1. A race car accelerates uniformly from 19.5 m/s to 50.1 m/s in

2.47 seconds. Determine the acceleration of the car.

The acceleration of the car is 79.8.

Answers

Answer:

12.39m/s²

Explanation:

use the formula a=v-u

t

I NEED THE RIGHT ANSWER ASAP THIS IS A SCIENCE QUESTION

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Answer:

The answer is B.

Explanation:

A Block has a density of 0.97 g/cm 3. That is why 97 percent of the ice will sink in below the water.

why does the light of black body radiation change

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The wavelength at which the radiation is strongest is given by Wien's displacement law, and the overall power emitted per unit area is given by the Stefan–Boltzmann law. So, as temperature increases, the glow color changes from red to yellow to white to blue.

The wavelength at which the radiation is strongest is given by Wien's displacement law, and the overall power emitted per unit area is given by the Stefan–Boltzmann law. So, as temperature increases, the glow color changes from red to yellow to white to blue

a cart is constrained to move along a straight line. a varying net force along the direction of motion is exerted on the cart. the cart’s velocity v as a function of time t is shown in the graph above. the five labeled points divide the graph into four sections. for which segment does the cart move the greatest distance?

Answers

From the graph, the segments that move the greatest distance are AB and DE.

We have,

From the graph,

The y-axis is the speed.

The x-axis is the time.

This means,

Speed = Distance / Time

So,

The horizontal line is the distance.

Now,

There are 5 points: A, B, C, D, and E.

There are four parts:

AB, BC, CD, and DE.

On the graph.

So,

I part = 1/3 = 0.33

The distance covered in each part is:

AB = 2 parts = 2 x 0.33 = 0.66

BC = 1 part = 0.33

CD = 1 part = 0.33

DE = 2 parts = 2 x 0.33 = 0.66

Thus,

The segments that move the greatest distance are AB and DE.

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HELP PLZZZZZZZZZZZZZ

Answers

Answer:

A and B and D and C

Explanation:

Answer: I would say (A) (D) and (C)

Explanation: I am doing the same thing in my class as well.

Hope this helped.  :-)

Have a wonderful day!!

inimbita ka ng iyong kamag aral na magpunta pagkatapos ng inyong klase sa isang video shop na malapit sa inyong paaralan ngunit nag bilin ang nanay mo na umuwi ka nang maaga dahil mayroon siyang ipagagawa sa iyo ano ang gagawin mo?

Answers

Answer:

sabihin sa kamag-aral na deh muna ako sasama kasi may papagawa pa nanay ko Sakin.

Explanation:

pa brainliest

Is this speed, velocity or acceleration

Answers

Answer:

Speed

Explanation:

There is no other information that involves or asks about the velocity or acceleration. Since that rules out two you will be left with one only option.

How does a pedometer help people reach their fitness goals?

Answers

Answer:

Pedometers are designed to detect vertical movement at the hip and so measure the number of steps and provide an estimate of distance walked. They cannot provide information on the temporal pattern of physical activity or the time spent in different activity at different intensity.

Why is it important to define the coordinate system in free fall

Answers

Answer:

H = Vo t + 1/2 g t^2

Velocity and gravitational acceleration are vector quantities - it is very important to use the correct signs for these quantities to get the correct quantity for H the distance traveled.

PLEASE HELP. SO HARD. SCIENCE ASSIGNMENT. ASAP

Answers

World shall know pain im not helping figure it out urself + RATIO

If a virus were to infect and destroy only the chloroplast in a cell, how would that affect plants cells ability to make ATP

Answers

Answer:

por ver cp

Explanation:

sisisi cp osea caldo de pollo

what is atmospheric pressure​

Answers

Answer:

IN THE EXPLANATION!!

Explanation:

Atmospheric pressure, also known as barometric pressure (after the barometer), is the pressure within the atmosphere of Earth.

Answer:

atmospheric pressure is the pressure exerted on the Earth's surface due to weight of air above it.

Một đoạn mạch gồm R1=8 ôm;R2=12 ôm.biết R1 nối tiếp với đoạn mạch gồm R2 song song với R3; R3=1/2 R2 cường độ dòng điện chạy qua mặt chính là 2A
a. Hãy vẽ sơ đồ mạch điện trên
b. Tính điện trở tương đương toàn mạch
c. tính cường độ dòng điện qua mỗi điện trở

Answers

Answer:

Explanation:

a.

b. R3= 1/2R2=6 ôm

R12= R1+R2=20 ôm

Rtđ=R12.R3/R12+R3= 4,62 ôm

c. U= I.Rtđ = 2.4,62=9,23 V

I1=I2= 9,23/20= 0,4615 A

I3= 2-0,4615=1,5385 A

15. How many neutrons are in the nucleus of an atom that has an atomic mass of 36 and an
atomic number of 25

Answers

13 Neutrons and Mg has 14 Neutrons

How are melting and carving ice sculptures both examples of physical changes ?

Answers

Answer:

they are still keeping the physical componets justbin a different shape

Explanation:

Answer:

As an ice cube melts, its shape changes as it acquires the ability to flow. However, its composition does not change. Melting is an example of a physical change .

What happens when you sit in a
chair?
A. Gravity is pulling you down but the chair
pushes you up with equal force.
B. Gravity is pulling you down and the chair
pushes you up into the air.
C. There is no force being exerted.
D. Gravity is pulling you down and the chair is
sliding sideways.

Answers

Answer: Option A

Explanation

Answer:

B

Explanation:

that is the only way you can sit

Sound waves travel at a speed of 330.0 m/s . How long does it take for the sound of thunder to travel 1.5 km ? (20points)

Answers

4.55 seconds

Step-by-step explanation:-

Given, Speed = 330.0 m/s

To find the time, it will take for the sound of thunder to travel 1.5 km, we have to apply the formula for speed :

[tex]speed = \frac{distance}{time} [/tex]

This implies that:-

[tex]time = \frac{distance}{speed} [/tex]

So, Let's get started with the steps -

Step 1- Convert 1.5 km to metres.

[tex]1.5 \: km \: \\ = > \: 1.5 \times 1000 \\ = > 1500 \: m[/tex]

Step 2- Now, to get time, substitute the values you got now in "time=distance/speed"

[tex]t = \frac{1500}{330}[/tex]

[tex] => t = 4.55 \: seconds[/tex]

Therefore, the answer is 4.55 seconds

✍️ By Benjemin360 ☺️

Calculate the power of a car that uses 12KJ of chemical energy in 6 seconds

Answers

Explanation:

Power=work done/time

=> 12kJ/6s = 12000J/6s = 2000W = 2kW.

hope this helps you

Aristotle supported which of these views?
A. The Sun and all the planets revolve around Earth.
B. The speed of a free-falling object is independent of its weight.
C. Earth and other planets revolve around the Sun.
D. Every action has an equal and opposite reaction.
E. The fifth element, ether, does not exist in heavenly bodies.
(PLEASE HELP ME)

Answers

Answer:

I am pretty sure that it is A. The Sun and all the planets revolve around Earth. Hope this helps!!!!!

Explanation:

What would be the new pressure if 250 cm3 of gas at standard pressure is compressed to a volume of
150 cm3?(
= constant)
V
n
T
Р P.
Initial
Final
Effect

Answers

Answer:

P T V n

Initial: 730 mmHg; 298 K; 250 cm³; --

Final: 760 mmHg; 273 K; ?; --

Effect: ↑; ↓; ↓P ↓T; --

250 cm³ x 273 K/298 K x 730 mmHg/760 mmHg = 220 cm³

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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A cannonball is fired from a cliff that is 50 meters above the ground. The cannonball is fired horizontally with a speed of 120 meters per second.
Calculate the horizontal distance that the cannonball will travel.

Answers

The horizontal distance that the cannonball will travel is 383.33m

In order to find the horizontal distance, we will use the formula for calculating the range expressed as:

[tex]R = u\sqrt{\frac{2H}{g} }[/tex] where:

u is the velocity

H is the height

g is the acceleration due to gravity

[tex]R = 120\sqrt{\frac{2(50)}{9.8} }\\R = 120\sqrt{\frac{100}{9.8} } \\R=120\times 3.1943\\R=383.33m[/tex]

Hence the horizontal distance that the cannonball will travel is 383.33m

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What is the force of a object that has a mass of 7 kg and an acceleration of 6 m/s/s

Answers

Answer:

42 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 7 kg

acceleration = 6 m/s²

We have

force = 7 × 6 = 42

We have the final answer as

42 N

Hope this helps you

3. In Figure 2, which object (A, B, or C) has the highest density? Why?

Answers

Answer: C Because it has more dots in the rectangle meaning that if it has more dots than others then it has a higher density according to the model

Explanation:

What possible scientific applications are there for determining the chemical composition of materials using spectral information?​

Answers

Answer:

Each element absorbs light at specific wavelengths unique to that atom. When astronomers look at an object's spectrum, they can determine its composition based on these wavelengths. The most common method astronomers use to determine the composition of stars, planets, and other objects is spectroscopy.

Explanation:

Hope this helps maybe...

What is the net force on charge placed at the center of square of length 1m? All charges have same magnitude of 2 micro coulomb.

Answers

Answer:

Electric Field intensity is zero.

The reason for that is:

All charges are placed at equal distances from the center of the square and have same magnitude and sign. This means they will exert equal and opposite forces on the test charge at the center. Net force will become Zero.

Which action is due to field forces

Answers

Answer:

:)

Explanation:

Raindrops fall on the earth due to gravitational field force. When two magnets come closer to each other, they will either attract or repel each other, which is magnetic field force examples. Without any physical contact, iron pins get attracted towards the magnet as a field force.

Describe how acceleration happens in the context of a collision.
Plz help<3

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Explanation:

In a collision, both objects are subjected to a force that causes them to accelerate. Despite the fact that the forces are equal in magnitude and direction, the least massive item experiences the highest acceleration. When two objects of identical mass collide, they both experience the same acceleration.

A collision is a brief encounter between two or more bodies that results in a change in motion of the bodies involved as a result of internal forces acting between them. Forces are involved in collisions (there is a change in velocity ).

When a roller coaster gets to the bottom of a descent, describe the energy transfers and changes to energy stores that happen if:
a) the brakes are applied to stop it
b) it goes up and over a second hill.​

Answers

Answer:

its B

Explanation:

It's B & A at the same time because A. a roller coaster uses brakes to slow down and stop. B is the most reasonable answer. Because all roller coasters go up and over a second time over the hill, but they also slow down. But go with B.

TELL ME IF I´M RITE

1)Why can't we use science to tell whether we should use a weapon or clone an animal? Explain.
2)What are the levels of Scientific Knowledge from the Lowest to the Highest?
3)What are the 5 steps of the scientific method ? Explain what EACH one is.
4)What was one of the real examples of the scientific method we covered in class? (hint: spider, comet)
5)Why do we call the metric system the “SI” system in Science?
6)The Metric System is based on the meter and what other thing? Why does that make metric easier to understand?
7)What are 3 base units we use for Length, Volume, and Mass? How do you represent them with initials? Which one is capitalized?
8)
25 km = cm
800mg = g
12500 mL = L
358mm = m
76kg = g
20L = ml
9)Metric is based on universal constants (things you can measure) rather than examples (a person’s hand or food or a grain of rice). Why is this a good thing? Why is it important for Science too?
10)What did these folks do wrong?
Belinda and Suzy are working with Bob in the lab today. They decide to play a trick on him. They tell him that even though it isn’t written down, the teacher said that when they are done with today’s experiment, they should drink the solution because it tastes just like Dr.Pepper. Bob believes them (Belinda is very cute, after all) and makes a moveto pick up his still steaming beaker. Name at least two things that these three should improve on.

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An

A continuación, se explicará la incidencia que este recurso formal tiene en el significado completo del poema.  

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