An astronaut initially stationary fires a thruster pistol that expels 48 g of gas at 785 m/s. The combined mass of the astronaut and pistol is 65 kg. How fast and in what direction is the astronaut moving after firing the pistol?
Hint: Astronaut is in space.

Answers

Answer 1

After firing the thruster pistol, the astronaut be moving with a velocity of approximately 578.803 m/s in the opposite direction of the expelled gas.

The magnitude and direction of the astronaut's velocity can be determined using the principle of conservation of momentum.

According to the principle of conservation of momentum, the total momentum before firing the pistol should be equal to the total momentum after firing the pistol.

The initial momentum of the astronaut and pistol system is zero since the astronaut is initially stationary.

The final momentum of the system is the sum of the momentum of the expelled gas and the momentum of the astronaut.

The momentum of the expelled gas can be calculated using the equation p = mv, where p is momentum, m is mass, and v is velocity.

Substituting the given values, we have:

p_gas = (48 g) * (785 m/s) = 37,680 g*m/s

The momentum of the astronaut can be calculated using the equation p = mv.

The combined mass of the astronaut and pistol is 65 kg, and the velocity of the astronaut is denoted by v_astronaut.

Since momentum is a vector quantity, we need to consider the direction.

The expelled gas has a positive momentum in the opposite direction of the astronaut's velocity.

Therefore, the astronaut's momentum should be negative to compensate.

To find the velocity of the astronaut, we can set up the equation for conservation of momentum:

0 = (-37,680 g*m/s) + (65 kg) * (v_astronaut)

Solving for v_astronaut gives us:

v_astronaut = (37,680 g*m/s) / (65 kg)

The mass of the expelled gas in kilograms is 48 g / 1000 g/kg = 0.048 kg. Substituting this value, we have:

v_astronaut = (37,680 g*m/s) / (65 kg + 0.048 kg)

To calculate the velocity of the astronaut after firing the pistol, we substitute the given values into the equation:

v_astronaut = (37,680 g*m/s) / (65 kg + 0.048 kg)

Converting the mass of the expelled gas from grams to kilograms, we have:

v_astronaut = (37,680 g*m/s) / (65.048 kg)

Evaluating this expression gives:

v_astronaut ≈ 578.803 m/s

Therefore, the astronaut will be moving with a velocity of approximately 578.803 m/s in the opposite direction of the expelled gas.

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Related Questions

A bird is flying 77.0 meters above the ground, holding a stick with its feet. If the bird were to drop the stick, how long would it take for the stick to reach the ground below?
A: 1.96s
B: 2.45s
C: 3.96s
D: 3.84s

Answers

The time taken for the stick that the bird dropped to reach the ground is 3.96 seconds.

What will be the time taken for the stick that the bird dropped to reach the ground?

The time taken for the stick that the bird dropped to reach the ground is determined the using formula below:

h = ut + ¹/₂ * g * t²

where the given parameters are given below:

h = 77.0 meters

u = 0

t = ?

g = 9.81 m/s²

Solving for the time required:

77.0 = 0 * t + ¹/₂ * 9.81 * t²

t² = 77.0 * 2 / 9.81

t² = √15.7

t = 3.96 seconds

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The output of a solar panel powers a small pump. The pump operates a garden water fountain.

The output of the solar panel is 10 V and the current supplied for the pump is 0. 25 A.

The pump's efficiency is 30%.


Calculate the kinetic energy delivered by the pump to the water every second

Answers

The pump delivers 8.36 J of kinetic energy to the water every second.

To calculate the kinetic energy delivered by the pump to the water every second, we first need to determine the power output of the solar panel. Power is defined as the rate at which energy is transferred, so we can calculate it by multiplying the voltage and current:

Power = Voltage x Current

Power = 10 V x 0.25 A

Power = 2.5 W

Next, we need to take into account the efficiency of the pump, which is 30%. This means that only 30% of the power input to the pump is converted into the kinetic energy of the water. Kinetic energy is defined as 1/2 x mass x \(velocity^2\). Assuming the mass of the water being pumped is constant, we can calculate the velocity of the water by dividing the power output of the solar panel by the power required to operate the pump at its 30% efficiency:

Power required = Power output / Pump efficiency

Power required = 2.5 W / 0.3

Power required = 8.33 W

Now we can use the power required to calculate the velocity of the water:

Power required = 1/2 x mass x \(velocity^2\)

8.33 W = 1/2 x mass x \(velocity^2\)

Rearranging the equation, we get:

velocity = sqrt(8.33 W / (1/2 x mass))

Assuming the mass of the water being pumped is 1 kg, the velocity of the water is:

velocity = sqrt(8.33 W / (1/2 x 1 kg))

velocity = 4.08 m/s

Finally, we can calculate the kinetic energy delivered by the pump to the water every second:

Kinetic energy = 1/2 x mass x \(velocity^2\)

Kinetic energy = 1/2 x 1 kg x \((4.08)^2\)

Kinetic energy = 8.36 J

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at very large positive or negative values of x, the electric field approaches zero in both parts (a) and (b) of the figure. in which does it most rapidly approach zero and why?

Answers

The electric field in part (a) of the figure most rapidly approaches zero. This is because the electric field is inversely proportional to the square of the distance between the charges.

What is the electric ?

Electricity is a form of energy that exists in nature and is the flow of electrical power or charge. It is a fundamental part of the universe, and is one of the basic building blocks of modern science and technology. Electricity is used to power a wide range of electronic devices, including computers, phones, televisions, and appliances. It is also used to light homes and businesses, to power transportation systems, and to provide heating and cooling to homes and businesses.

the distance between the positive and negative charge increases exponentially, whereas in part (b), the distance is constant. Therefore, the electric field in part (a) decreases much more rapidly than in part (b).

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How can you make two objects with different masses move the same distance

Answers

Answer:

apply more energy to the object with more mass

Explanation:

This image shows layers underground.

Top to bottom: Soil, Clay, Rocks, Granite.

Which layer will become saturated first when rain falls?

clay
granite
rocks
soil

Answers

Answer:

soil

Explanation:

CORRECT

Answer:

soil

Explanation:

Hope this will help

4. How do the different components affect the flow of charges?​

Answers

Answer:

negatively

Explanation:

The figure shows a uniform, horizontal beam of length = 7 m and mass = 50 kg that ishanging by two cables as shown. If a person of mass = 60 kg stands at 3.6 m from the leftend, what are the tensions (T1 and T2) in the cables? Write only the answer to T2 incanvas (in newtons).T1T2

The figure shows a uniform, horizontal beam of length = 7 m and mass = 50 kg that ishanging by two cables

Answers

Given:

• Length of beam = 7 m

,

• Mass of beam = 50 kg

,

• Mass of person = 60 kg

,

• Distance of the person from the left = 3.6 m

Let's find the tensions, T1 and T2.

First make a free body sketch:

Here, the net torque = 0.

To find the tension, T1, we have:

\(T_1*l-m_Pg*(l-l_1)-m_bg*\frac{l}{2}=0\)

Where:

l = 7 m

mp = 60 kg

g is acceleration due to gravity = 9.8 m/s²

l1 = 3.6 m

mb = 50 kg

Thus, we have:

\(\begin{gathered} T_1*7-60*9.8*(7-3.6)-50*9.8*\frac{7}{2}=0 \\ \\ T_1*7-1999.2-1715=0 \\ \\ T_1=\frac{3714.2}{7} \\ \\ T_1=530.6\text{ N} \\ \end{gathered}\)

Therefore, the tension T1 = 530.6 N.

To find the tension T2, we have:

\(\begin{gathered} T_2*7-60*9.8*3.6-50*9.8*3.5=0 \\ \\ T_2*7-2116.8-1715=0 \\ \\ T_2*7=2116.8+1715 \\ \\ T_2=\frac{2116.8+1715}{7} \\ T_2=547.4\text{ N} \\ \end{gathered}\)

Thererfore the tension T2 = 547.5 N

• ANSWER:

T1 = 530.6 N

T2 = 547.4 N

The figure shows a uniform, horizontal beam of length = 7 m and mass = 50 kg that ishanging by two cables

Fighter jets on aircraft carriers are accelerated down a 270 foot "runway" in two seconds when they are taking off. A fully loaded, combat ready F-15 has a maximum take-off weight of 62,000 pounds. To ensure the pilot can reach sufficient velocity within 2 seconds a pneumatic cannon propels the plane down the runway. If this same cannon was used to launch your Toyota Corolla (mass is 2646lbs), how fast in miles per hour would you be going after reaching the end of the runway?

Answers

The speed of the  Toyota Corolla would have  been 143.9 mph.

What is the acceleration of the F-15?

The acceleration of the F-15 can be calculated as follows:

Acceleration = Velocity Change / Time = (Take-off Speed) / Time

where;

Take-off Speed = √(2dg /t²)

Take-off Speed = √(2 x  (270 ft)  x 32.2 ft/s² / (2 s)²)

T  = √(17496) = 131.6 ft/s

Acceleration = Velocity Change / Time

= (131.6 ft/s) / (2 s) = 65.8 ft/s²

We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:

Final Velocity = Initial Velocity + Acceleration x Time

where;

Initial Velocity = 0 (because the car is not moving initially), Time = 2 s

Final Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s

Finally, we can convert the velocity from feet per second to miles per hour:

Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)

= 131.6 ft/s x  (1 hour/3600 s)  x (5280 ft/mile)

= 143.9 mph

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Protons are______
charged particles.

Answers

Answer: Protons are positively charged particles

Explanation:

Positive charged partials


3. A man heads up a trail going north to see a lake. The trail is 5 miles long and it takes him
2 hours to get there. What was his velocity?

Answers

Answer:

v = 2.5 mi/h

Explanation:

The velocity of an object is defined as the time rate of change of its position. In other words the velocity of an object is just a ration of displacement covered by the object to the time taken by the object, to cover that distance. So, in this case we will use the same formula or equation to calculate the velocity of the man. The formula is as follows:

v = s/t

where,

v = velocity of the man = ?

s = distance of the trail = 5 miles

t = time required to complete the trail = 2 h

Therefore,

v = 5 miles/ 2 h

v = 2.5 mi/h

How does the kinetic energy of the gas in the flas/tube change during this experiment?

Answers

Because of Kinetic Theory Postulate, the gas molecule's collision will affect.

Gases can be compressed because most of the volume of gas is an empty space according to Kinetic Molecular theory. If we compress a gas without changing its temperature, the average K.E of the gas particles remains the same. There is no change in the speed of the gas molecules with which the particles move in a container, but the container is smaller. So particles travel from one side of the container to the other in a very small period of time. So it means that they strike the walls mostly. Any increase in the frequency of collisions with the walls must increase the pressure of the gas. from Boyle's law, the pressure of gas becomes more significant as the volume of the gas becomes smaller have opposite relation.

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Draw a diagram of a projectile that shows what is happening to the vertical (y) velocity of a projectile as it moves along its path . You must include what is happening to the speed of the velocity on the way up the way down and the max height.

Answers

The vertical velocity of the projectile increases but reaches zero at the maximum height and begins to decrease.

What is a projectile?

When we talk of the projectile, we are talking about the object that is moving along a parabolic path. Hence the object that is undergoing the projectile motion is going to have a curved path. Take an instance, when you kick a soccer ball, you have to notice that the ball would tend to curve as it moves up in the air and then begins to descend. That is a typical example of a projectile motion.

Now, we have to note that at the maximum height, the vertical velocity of the object would be zero. When I throw an object up, the vertical velocity of the object would continue to increase until the object reaches the maximum height where the vertical velocity is zero and then the vertical velocity of the object begins to decrease as shown in the image.

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Draw a diagram of a projectile that shows what is happening to the vertical (y) velocity of a projectile

Order the electromagnetic waves from lowest frequency (1) to highest (4). gamma: infrared: x-ray: visible light:

Answers

Gamma: 4

Infrared: 1

X-Ray: 3

Visible Light: 2

Infrared has the longest wavelength between the four options, meaning that it has the lowest frequency. Since the longer the frequency, the lower the frequency. While the shorter the wavelength, the higher the frequency.

The portions of the electromagnetic spectrum are called from greatest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. Microwaves (such as those used in microwave ovens) are a subset of the electromagnetic spectrum's radio wave segment.

Next would be visible light since it has the second longest wavelength out of the given options. Then it would be X-Ray. And finally Gamma since it has the shortest wavelength.

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A flip is also called ___.

Answers

Answer:

A flip is also called a reflection

How fast would Keesha say the ball is traveling?
Simon is riding a bike at 12 km/h away from his friend
Keesha. He throws a ball at 5 km/h back to Keesha, who
is standing still on a sidewalk.
5 km/h
0 7 km/h
12 km/h
© 17 km/h

Answers

Answer:

B

Explanation:

just took the test

Answer:

b

Explanation:

Solar radiation is absorbed by the ocean. The absorbed energy evaporates water from the ocean. As water vapor (mass) enters the atmosphere it carries with it the heat used to evaporate the water and raises the air's humidity. What type of system is the ocean?

Answers

Answer:

open system

Explanation:

The open system type of system is the ocean option (C) open system is correct.

What is solar energy?

It is defined as the energy that continuously comes from the sun. As we know, the sun is the greatest source of energy. The sun's radiation reaches the earth and can be utilized as heat energy.

The question is incomplete.

The complete question is:

Solar radiation is absorbed by the ocean. The absorbed energy evaporates water from the ocean. As water vapor (mass) enters the atmosphere it carries with it the heat used to evaporate the water and raises the air's humidity. What type of system is the ocean?

isolated systeminteractive systemopen systemclosed system


As we know,

An open system is one that responds to the movement of information, energy, and/or material between both the and its surroundings.

Thus, the open system type of system is the ocean if the water vapor (mass) enters the atmosphere it carries with it the heat used to evaporate the water and raises the air's humidity.

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10) A 57-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 37° above the horizontal. If the tension in the rope is 142 N, how much work is done on the crate to move it 6.1 m?

Answers

F=m*a

T = 142N

Work = Force x distance

distance = 6.1 M

Force = 142 x cos 37 = 113.4 N

W= 113.4N x 6.1M = 691.78 J

10) A 57-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an

What is CGS unit of weight ​

Answers

Answer:

\( \boxed{dyne}\)

Explanation:

The weight of a body is defined as the force with which it is attracted towards the centre of a planet. A spring balance measures it. It's unit is Newton ( N ) in the SI system and dyne in the CGS system.

Hope I helped!

Best regards!

Weight is force.

The CGS unit of force is the dyne.

The SI unit of force is the Newton.

Question=Think about how Newton's First Law of Motion applies to you. Imagine that you are riding in a car when the driver abruptly steps on the brake. Use Newton's First Law of Motion (Inertia) to explain why your body tends to move forward when this happens.

Answers

effects of inertia.

you and the car have inertia if the car comes to a sudden stop your body tends to keep moving forward in the car. so when it’s moving again and your body times to stay rest or lean back. You move forward because the car seat extras in an unbalanced force of motion on your body.

what is an atom with great electronegativity able to do?

Answers

An atom with great electronegativity is able to attract electrons towards itself in a chemical bond. This means that it is able to form strong covalent bonds with other atoms, and can also participate in ionic bonding by attracting electrons away from other atoms.

Additionally, an atom with high electronegativity is able to exert a greater degree of control over the distribution of charge within a molecule, making it an important factor in determining the overall reactivity and behavior of the molecule.

Electronegativity is a measure of an atom's ability to attract electrons towards itself when it is part of a chemical bond. In other words, it is a measure of an atom's ability to pull electrons away from other atoms in a molecule. Electronegativity is an important concept in chemistry, as it helps predict how atoms will behave in chemical reactions.

Electronegativity is typically measured on a scale called the Pauling scale, named after the American chemist Linus Pauling. The scale ranges from 0.7 (for the least electronegative element, francium) to 4.0 (for the most electronegative element, fluorine). Elements towards the right side of the periodic table, such as the halogens and oxygen, are generally more electronegative than elements towards the left side, such as the alkali metals.

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what is the definition of energy in scientific terms?responses a force used on an object a force used on an object a change in temperature a change in temperature the motion of an object the motion of an object the ability to do work

Answers

Answer: The ability to do work.

Explanation: Scientists define energy as the ability to do work. There is potential energy (where an object at rest has the capacity to have motion) and kinetic energy (where an object is in motion).

a white dwarf explodes as a supernova. why? mass was dumped onto it until it got too close to its limit at 1.4 times the sun's mass the electrons started to have degenerate pressure its planetary nebula collapsed under its own gravity its core built up the element iron, and was no longer able to fuse

Answers

A white dwarf explodes as a supernova due to the accumulation of mass that pushes it close to the 1.4 times the Sun's mass limit, also known as the Chandrasekhar limit.

When mass is dumped onto the white dwarf, the core's pressure increases, leading to the degenerate pressure of electrons. This process prevents further gravitational collapse. However, when the mass approaches the limit, the core becomes unstable and can no longer support the electron degenerate pressure.

As a result, the white dwarf collapses under its own gravity, leading to a supernova explosion. It is important to note that the buildup of iron in the core is not a primary factor in white dwarf supernovae, as this occurs in massive stars, not white dwarfs.

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7. Why do you think the Redfield ratio continues to be used in oceanographic models, given it is known to be an over-simplification?

Answers

The Redfield ratio is the ratio of various chemical elements present in the average phytoplankton biomass. This defines the stoichiometry of photosynthesis and remineralization reactions.

The Redfield ratio is 106:16:1 across the ocean. Many models predict that a warmer ocean will hold less carbon because phytoplankton will become smaller as the ocean warms and bring less carbon to the seafloor as they die. Carbon nitrogen and phosphorus are the most important of these nutrients and CNP.

A ratio between 100:5:1 and 100:10:1 should be maintained to ensure maximum microbial activity in aerobic wastewater treatment. Many trace elements or micronutrients are also required. This is because a specific form of nitrogen found in the air nitrogen gas cannot be assimilated by most living organisms or require nitrogen in solid form.

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the potential energy of a particular mass-spring system is 10 j when the spring is stretched by a distance of a. what is the potential energy when the same mass-spring system when the spring is only stretched by a distance of a/2 ?

Answers

The potential energy of the spring-mass system when the spring is only stretched by our distance of a/2 is 2.5 Joules.

The potential energy of a spring for a particular mass spring system is given by,

U = 1/2kx²

x is the extension in the spring,

K is the spring constant.

If the spring is stretched by a distance of a then the potential energy of the mass spring system,

10 = 1/2ka²

If the spring mass-system is only stretched by a distance of a/2, then let us say that potential energy of the system is U',

U' = 1/2k(a/2)²

U' = 1/2ka²/4

Putting, 1/2ka² = 10,

U' = 10/4

U' = 2.5 Joules.

So, the potential energy of the system is now 2.5 joules.

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A diverging lens of focal length 18.0m is used to view a shark that is 90.0m away from the lens. If the image formed is 1.0m long, calculate the: (i) image distance; (ii) length of the shark.

Answers

Answer:

i. + 22.5 m ii. 4.0 m

Explanation:

i. Image distance

Using the lens formula

1/u + 1/v = 1/f where f = focal length = + 18.0 m, u = object distance = distance of shark away from lens = + 90.0 m and v = image distance from lens = unknown

So, we find v

1/v = 1/f - 1/u

= 1/+18 - 1/+90

= (5 - 1)/90

= 4/90

v = 90/4

= + 22.5 m

So the image is real and formed 22.5 m away on the other side of the lens.

ii Length of Shark

Using the magnification formula, m = image height/object height = image distance/object distance. image height = 1.0 m where object height = length of shark.

m = image distance/object distance

= v/u

= +22.5/+90

= 0.25

0.25 = image height/object height

So,

object height = image height/0.25

= 1.0 m/0.25

= 4.0 m

So, the length of the shark is 4.0 m

A ball is launched upward at an angle from the ground. Which way does its velocity point at the top?
A. Vertical
B. It isn't moving
C. Horizontal
D. Horizontal and Vertical

Answers

The answer is B because at the very top the acceleration is ZERO so it isn’t moving

2. Does the emphasis on safety vary for each style of vehicle? In what way?
3. Does the level of safety equipment vary with price of vehicle?
4. What effects will a vehicle’s top speed, power and acceleration likely to have on safety? Is this considered in the advertisements?
WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

Emphasis on public safety can surely reduce the risk for various groups of population

1. Proper education and training must be provided to make them aware of the risks and how they can manage those risks.

2. Proper rules and regulation must be made and strictly followed for example traffic rules so as to avoid accidents.

3. Disaster management teams should to formed to ensure minimal loss of humans and resources during any natural calamity.

4.Eradication of poverty and illiteracy should be priority so as to ensure people focus on more important issues in life rather than involve themselves in trivial things.

Explanation:

PLZZ ANSWER THE QUESTION ​

PLZZ ANSWER THE QUESTION

Answers

Answer:

a

Explanation:

What is the conversion of 17 c to f ?

Answers

The conversion of 17 degrees The conversion of 17 degrees Celsius to Fahrenheit is 62.6 degrees Fahrenheit.

The equation F = 9/5C + 32 relates temperature measured in degrees Celsius (C) to degrees Fahrenheit (F). The formula is used to convert temperatures from Celsius to Fahrenheit , and vice versa. To use the formula, you simply plug in the known temperature in Celsius (or Fahrenheit), and then solve for the unknown temperature in Fahrenheit (or Celsius).

To convert Celsius to Fahrenheit, you would use the formula F = 9/5C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit. Thus, for 17 degrees Celsius, the formula would be F = 9/5(17) + 32 = 62.6 F.

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How much horizontal force f must a sprinter of mass 47 kg exert on the starting blocks to produce this acceleration?.

Answers

A sprinter weighing 47 kg must apply 705 N of horizontal force to the starting blocks in order to achieve this acceleration.

Explaining an acceleration

acceleration describes the speed and direction changes in velocity over time.When something moves faster or slower down in a straight line, it is said to be accelerating.

What Is An effective illustration of acceleration?

Positive acceleration is a property of objects that are accelerating and travelling in the right direction.In the first illustration, positive acceleration was demonstrated by the moving car.The vehicle is accelerating as it moves forward and is travelling in a favorable direction.

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