When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy, in the form of photons. In an antimatter-fueled spaceship, a staple of science fiction, the newly created photons are shot from the back of the ship, propelling it forward. Suppose such a ship has a mass of 2.00×10^6kg, and carries a mass of fuel equal to 4% of its mass, or 4.00×10^4kg of matter and an equal mass of antimatter.

Required:
What is the final speed of the ship, assuming it starts from rest, if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship?

Answers

Answer 1

Answer:

  v = 5.88 10⁷ m / s

Explanation:

For this exercise we use the relation

          E = m c²

also indicate that all energy is converted into kinetic energy

          E = K = ½ (M-2m) v²

where m is the mass of antimatter and M is the mass of the ship's mass. Factor two is due to the fact that equal amounts of matter and antimatter must be combined

we substitute  

         m c² = ½ (M-2m) v²

        v² = [tex]2 \frac{m}{M+2m} \ c^2[/tex]

         

let's calculate

        v = [tex]\sqrt{2 \ \frac{4 \ 10^4 }{2 \ 10^6 + 2 \ 4 \ 10^4} \ (3 \ 10^8)^2}[/tex]

         v = [tex]\sqrt{ 34.615 \ 10^{14}}[/tex]

        v = 5.88 10⁷ m / s


Related Questions

What order shows increasing frequency for gamma rays, microwaves, visible light, and X-rays?

gamma rays, X-rays, visible light, microwaves
microwaves, visible light, X-rays, gamma rays
visible light, gamma rays, microwaves, X-rays
X-rays, microwaves, gamma rays, visible light

Answers

Answer:

B. microwaves, visible light, X-rays, gamma rays

The order that shows increasing frequency for gamma rays, microwaves, visible light, and X-rays is:

microwaves, visible light, X-rays, gamma rays

What are electromagnetic waves?

These are waves that can propagate (i.e travel) through space while transferring energy. They travel through space with the speed of light (i.e 3×10⁸ m/s)

Examples of electromagnetic waves includes

Gamma rayX-rayUltraviolet Light Infrared Radio wave Microwave

From the examples given above, it should be noted that gamma ray has the shortest wavelength and the longest frequency.

With the above information in mind, we can conclude that the order that shows increasing frequency for gamma rays, microwaves, visible light, and X-rays is:

microwaves, visible light, X-rays, gamma rays

Learn more about electromagnetic waves:

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Which of the following is an example of kinetic energy being converted to potential energy?

Answers

Of the following...?? Is there more to this question? :)

Answer:

not completed questions

physics grade9 teacher guide​

Answers

Answer:

huh

Explanation:

How much heat is needed to warm 365 mL of water in a baby bottle from 240C to 38C

Answers

Answer:98.6 degrees Fahrenheit

Explanation:

A 35.0 g bullet strikes a 50 kg stationary piece of lumber and embeds itself in the wood. The piece of lumber and the bullet fly off together at 8.6 m/s. What was the speed of the ballot before it struck the lumbar? Define the bullet and the wood as a system

Answers

Answer:

12294.31 m/s

Explanation:

Momentum = (mass)(velocity)

Momentum before = Momentum after

(momentum of bullet)+(momentum of block)=(momentum of bullet and block)

0.035v+50(0)=(0.035+50)(8.6)

0.035v=430.301

v=12294.3142857m/s

Imagine you are on a space mission and you are 6 AU's from the Sun and you use a light sensor to measure the brightness of the Sun. The amount of sunlight received per square centimeter would be different by what factor compared to the same measurement on Earth at AU

Answers

Answer:

36 times less.

Explanation:

The distance from you to the sun is 6AU's, and from the sun to the earth is 1 AU.

Therefore,

At Earth sunlight received per unit cm² is:

[tex]I_{earth} = \dfrac{I_o}{4 \pi \times (1)^2}[/tex]

[tex]I_{earth} = \dfrac{I_o}{4 \pi}[/tex]

[tex]I_{me} =\dfrac{I}{4 \pi (6)^2}[/tex]

[tex]I_{me} = \dfrac{I_o}{36(4 \pi)}[/tex]

Thus, [tex]I_{earth} = 36 \times I_{me}[/tex]

Thus, the right answer is 36 times less.

ILL GIVE BRAINLIST PLS In which circuit does charge reverse direction many times per second?
A. A DC circuit
B. A combined circuit
C. A parallel circuit D. An AC circuit

Answers

Answer: D. An AC circuit

Explanation:

I took it on a test and it was correct ; )

A skater spins with an angular speed of 5.9 rad/s with her arms outstretched. She lowers her arms, decreasing her moment of inertia by a factor of 1.7. Ignoring friction on the skates, determine the ratio of her final kinetic energy to her initial kinetic energy.

Answers

Answer:

the ratio of her final kinetic energy to her initial kinetic energy is 1.7.

Explanation:

Given;

initial angular speed, ω₁ = 5.9 rad/s

let her initial moment of inertia = I₁

her final moment of inertia [tex]I_2 = \frac{I_1}{1.7}[/tex]

Apply the principle of conservation of angular momentum to determine the final angular speed of the girl;

[tex]\omega_1I_1 = \omega_f I_2\\\\\omega_f = \frac{\omega _1 I_1}{I_2} \\\\\omega_f = \frac{5.9 \times I_1}{I_1/1.7} \\\\\omega = 5.9 \times 1.7 \\\\\omega_f = 10.03 \ rad/s[/tex]

The initial rotational kinetic energy is given as;

[tex]K.E_I = \frac{1}{2}I_1 \omega_I ^2[/tex]

The final rotational kinetic energy is given as;

[tex]K.E_f = \frac{1}{2}I_2 \omega_f ^2[/tex]

The ratio of her final kinetic energy to her initial kinetic energy is given as;

[tex]\frac{K.E_f}{K.E_I}= \frac{\frac{1}{2}I_2 \omega_f^2 }{\frac{1}{2} I_1\omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{I_2 \omega_f^2}{ I_1\omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{I_1/1.7 \times \omega_f^2}{ I_1 \times \omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{ \omega_f^2}{ 1.7 \omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{ (10.03)^2}{ 1.7(5.9)^2} = \frac{17}{10} = 1.7[/tex]

Therefore, the ratio of her final kinetic energy to her initial kinetic energy is 1.7.

what does loudness of a sound depend on?​

Answers

Answer:

Amplitude

Explanation:

The loudness of a sound depends on the amplitude of vibration producing the sound

the answer amplitude. The amplitude of a periodic variable is a measure of its change in a single period. There are various definitions of amplitude, which are all functions of the magnitude of the differences between the variable's extreme values. In older texts, the phase of a period function is sometimes called the amplitude.

500 J of work is used to decrease the angular velocity of a disk from 65 rad/s to 52 rad/s.What is the rotational inertia of the disk?

Answers

Answer:

The correct answer is "0.66 kg.m²".

Explanation:

The given values are:

K.E = 500 J

w₁ = 65 rad/s

w₂ = 52 rad/s

As we know,

⇒  [tex]K.E=\frac{1}{2}I[w_1^2-w_2^2][/tex]

then,

⇒  [tex]I=\frac{2(K.E)}{w_1^2-w_2^2}[/tex]

On putting the given values, we get

⇒     [tex]=\frac{2\times 500}{(65)^2-(52)^2}[/tex]

⇒     [tex]=\frac{1000}{4225-2704}[/tex]

⇒     [tex]=\frac{1000}{1521}[/tex]

⇒     [tex]=0.66 \ kg.m^2[/tex]

what produces the distinctive flame color of different substances when they are ignited?

Answers

Answer:

Electrons in different metals

Explanation:

When you heat an atom, some of its electrons are "excited* to higher energy levels. When an electron drops from one level to a lower energy level, it emits a quantum of energy.  The different mix of energy differences for each atom produces different colours. Each metal gives a characteristic flame emission spectrum.

an object is moving at 60m/s and has a mass of 5 kg what is its momentum​

Answers

Answer:

300

Explanation:

the momentum is 300

p=mv

p=5×60

5×60 =300

Urgent!!!!! A student heated 235 g of water in a beaker until the water reached 100°C. The student removed the beaker from the heat and placed the beaker on a counter in a 23°C room. The student recorded the temperature of the water every 4 minutes for 20 minutes. The data are shown in the table. Estimate the average temperature of the air in the room at 20 min. explain your answer.

Answers

It’s says that the temperature in the room is 23C so the air temperature in the air would be 23C

The average temperature of the air in the room at 20 min is 23°C.

What is temperature?

Temperature is the degree of hotness or coldness of the object.

A student heated 235 g of water in a beaker until the water reached 100°C. The student removed the beaker from the heat and placed the beaker on a counter in a 23°C room. The student recorded the temperature of the water every 4 minutes for 20 minutes.

The surrounding is vast, its temperature does not get affected by small amount of water. So, the temperature of air remains constant.

Thus, the average temperature of the air in the room at 20 min is 23°C.

Learn more about temperature.

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#SPJ2

A rabbit dashes across a field in a zig-zag pattern trying to outrun a fox. If the rabbit’s average is speed is 9.8 m/s it reaches the hole in 8.5 s what is the total distance it ran?

Answers

Answer:

83.3 m

Explanation:

From the question,

Applying on of the formula of velocity

V = d/t.................. Equation 1

Where V = average velocity, d = distance, t = time.

make d the subject of the equation

d = V×t................. Equation 2

Given: V = 9.8 m/s, t = 8.5 s

Substitute these values into equation 2

d = 9.8×8.5

d = 83.3 m

Hence the total distance covered by the rabbit is 83.3 m

Light with a wavelength of 700 nm (7×〖10〗^(-7) m) is incident upon a double slit with a separation of 0.30 mm (3 x 10-4 m). A screen is located 1.5 m from the double slit. At what distance from the screen will the first bright fringe beyond the center fringe appear?

Answers

Answer:

[tex]0.0035\ \text{m}[/tex]

Explanation:

y = Distance from the center point

d = Separation between slits = 0.3 mm

D = Distance between slit and screen = 1.5 m

[tex]\lambda[/tex] = Wavelength = 700 nm

m = Order = 1

We have the relation

[tex]d\dfrac{y}{D}=m\lambda\\\Rightarrow y=\dfrac{Dm\lambda}{d}\\\Rightarrow y=\dfrac{1.5\times 1\times 700\times 10^{-9}}{0.3\times 10^{-3}}\\\Rightarrow y=0.0035\ \text{m}[/tex]

The distance from the screen at which the first bright fringe beyond the center fringe appear is [tex]0.0035\ \text{m}[/tex].

A 20-kg child is on top of a slide was pushed down by his brother giving him an initial speed of 2 m/s down the slide. what is the child's speed at the bottom of the slide if the slide is 5 m high and 10m long and the force of friction between the child and slide is negligible?​

Answers

Answer:

please find your answer in the attached picture, along with explanation.

Average running speed is 8km/h. Convert this to m/s :
a)8m/s
b)2.2m/s
c)28.8m/s
d)8km/h

Answers

Answer:

Im not sure if you mean miles per hour or meters per hour but if it is miles it is 4.97 miles per hour and if it is meters then it is 8000 meters per hour

Explanation:

Sorry if I'm wrong

Why are some tsunamis described as local?

Answers

Answer:

A local tsunami is one that originates from within about 100 km or less than 1 hour tsunami travel time from the impacted coastline. Local tsunamis can result in a significant number of casualties since authorities have little time to warn/evacuate the population.

Explanation:

Hope this helps

what is friction and the types withe examples.​

Answers

Explanation:

The answer is In the picture. Thanks.

What is the magnitude and direction of the net force on a ball that has a force of 27N North and 18N North applied to it?

Answers

Answer:

Magnitude: =  32.45 Direction: =  33.69

Explanation:

The magnitude of the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object, as shown in this formula. We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Given a position vector →v=⟨a,b⟩, the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application.

A boat travels west at 20km/h. The journey lasts 3hours. How far has the boat travelled?

Answers

Answer:

A boat travels for three hours with a... A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in still water?

Explanation:

The universe cooled after the Big Bang.At some point hydrogen atoms combined to form helium.What is this process called?

Answers

Answer:

Nuclear fusion

Explanation:

1. If a system is isolated, the total energy within that system is constant. Consider the case of a hot cup of coffee: when it cools down, the energy goes into the surrounding air, causing the air to warm. If the coffee and the air are placed in an isolated chamber, the total energy of the system (coffee + air) is constant because the energy lost by the coffee is exactly equal to the energy gained by the air.
The only way for the total energy of a system to change is when it is not isolated, meaning that external forces or sources of energy interact with the system. If we want to define a system where the total energy is conserved, which one of the choices below would be the best system to consider?
A. The person
B. The person and the Earth
C. The Earth
2. Based on your answer to Question 1, why doesn’t the total energy of the Earth-person system change when the person goes up to a new height, gaining potential energy?

Answers

Answer:

1. B. The person and the Earth

2. This is because the energy gained by the person equals the energy lost by the earth,

Explanation:

1.

B. The person and the Earth

This is because the person and the earth both represent a system. A system consists of more than one item. A system consists of two or more items interacting with each other.

2. This is because, the energy of an isolated system is conserved according to the second law of thermodynamics which states that in an isolated system, energy can neither be created nor destroyed. So, there is an exchange of energy between the person and the Earth. So, the energy gained by the person at the new height equals the energy lost by the earth. And thus, the total energy of the system remains constant.

If the girl skater has a mass of 30 kg and moves backward at 5 m/s, what is the velocity or the boy skater
his mass is 50 kg?

Answers

Question: Two people stand facing each other at a roller-skating rink then push off each other. If the girl skater has a mass of 30 kg and moves backward at 5 m/s, what is the velocity of the boy skater if his mass is 50 kg?

Answer:

3 m/s

Explanation:

Applying,

The Law of conservation of momentum

Momentum of the girl skater = momentum of the boy skater

MV = mv...................... Equation 1

Where M = mass of the girl skater, V = velocity of the girl skater, m = mass of the boy skater, v = velocity of the boy skater

From the question, we were asked to calculate v

v = MV/m.................. Equation 1

Given: M = 30 kg, V = 5 m/s, m = 50 kg

Substitute these values into equation 1

v = (30×5)/50

v = 3 m/s

Hence the velocity of the the boy skater is 3m/s

A sprinter accelerates at 8mps, he weights 850 grams. What
force is he exerting?

Answers

You do mass times weight, 8 times 850= 6,800. So the answer is 6,800.

What is the period of a wave with a speed of 20.0 m/s and a frequency of 10.0 Hz?

Answers

im confused hold on imma send you a link to the answerExplanation:

A ball is thrown straight up from ground level. It passes a 2-m-high window. The bottom of the window is 7.5 m off the ground. The time that elapses from when the ball passes the bottom of the window on the way up, to when it passes the top of the window on the way back down is 1.3 s.
What was the ball’s initial speed, in meters per second?

Answers

Answer:

[tex]u=14.48m/s[/tex]

Explanation:

From the question we are told that:

Height of window [tex]h=2m[/tex]

Height of window off the ground [tex]h_g=7.5m[/tex]

Time to fall and drop [tex]t=1.3s[/tex]

 

Generally the Newton's equation motion  is mathematically given by

 [tex]s=ut+\frac{1}{2}at^2[/tex]

Where

[tex]h=ut+\frac{1}{2}at^2[/tex]

[tex]2=u1.3-\frac{1}{2}*9.8*1.3^2[/tex]

[tex]2=u1.3-8.281[/tex]

[tex]u=7.91m/s^2[/tex]  

Generally the Newton's equation motion  is mathematically given by

[tex]2as=v^2-u^2[/tex]

Where

[tex]-2gh_g=v^2-u^2[/tex]

[tex]-2*9.8*7.5=(7.91)^2-u^2[/tex]

[tex]-147=62.5681-u^2[/tex]

[tex]u=\sqrt{209.5681}[/tex]

[tex]u=14.48m/s[/tex]

Therefore the  ball’s initial speed

[tex]u=14.48m/s[/tex]

10 POINTS!! SPACE QUESTION!!

Answers

The First one trust...

Answer: A (first option)

Explanation: In general, the surface temperatures decreases with increasing distance from the sun. Any warm object in space loses heat via infrared radiation; also visible radiation if it is hot enough. The hotter is the object, the faster it loses heat. Consequently any object warmed by the Sun stays at equilibrium temperature - it warms up until the radiative heat loss equals to the heat received, and cannot get any warmer beyond that.

What does the Curl-up test assess?
O A.
Body composition
ОВ.
Muscular strength and endurance
O C. Flexibility
D.
Cardiovascular fitness

HURRRY
(it’s pe not physics)

Answers

muscular strength and endurance!

Answer:

assesses C.) muscular endurance

Explanation:

why are the nuclei of the heavier elements radioactive and not the lighter elements of nuclei?

Answers

Answer:

becouse most of nuclear elements are heave

Explanation:

Other Questions
Time Warner Inc. is a leading media and entertainment company with businesses in television networks, filmed entertainment, and publishing. The company's recent annual report contained the following information (dollars in millions): Net loss $(13,402 ) Depreciation, amortization, and impairments 34,790 Decrease in receivables 1,245 Increase in inventories 5,766 Decrease in accounts payable 445 Additions to equipment 4,377Required:a. Based on this information, compute cash flow from operating activities using the indirect method.b. What were the major reasons that Time Warner was able to report a net loss but positive cash flow from operations? Why are the reasons for the difference between cash flow from operations and net income important to financial analysts? what type of tolerance is found in hinduisim, for other religions? Find the shaded area. explain how phineas gage's accident and survival influenced the study of the human brain work and what makes us uniquely human help.....please science The company owns 9,000 acres of timberland purchased two years ago at a cost of $1,400 per acre. At the time of purchase, the land without the timber was valued at $400 per acre. In the current year, the company built fire lanes and roads, with a life of 30 years, at a cost of $84,000. Every year, the company sprays to prevent disease at a cost of $3,000 per year and spends $7,000 to maintain the fire lanes and roads. During the current year, the company selectively logged and sold 700,000 board feet of timber, of the estimated 3,500,000 board feet. Next year, the company will plant new seedlings to replace the trees cut at a cost of $100,000. What is the cost of timber sold related to depletion during the current year Who won the First World War? Convert 0.5 liters to milliliters. A pen, a marker and pencil have a total length of 48cm. The pen is 1cm shorter than the marker which is 1cm shorter than the pencil. Calculate the length of each Please Help me Asap What was the significance of Fort Sumter for the Civil War? It was where the first shots of the war were fired It was a major defeat for the South It was the bloodiest battle of the War It was a major victory for the North The population density of a city is 1,148 persons per square mile.If 40,173 people live in the city, what is the approximate land area of the city?.6 square milesB.35 square milesC.70 square milesD.1,225 square miles How much money will there be in an account at the end of 8 years if $9,000 is deposited at 3% interest compounded semi-annually? (Assume no withdrawals are made.) 1. Some individuals of a population or species are better suited toa. evolve than other individuals.b. survive and reproduce.c. become extinct.d. achieve punctuated equilibrium. (Help me please)Mike earns $12.50 an hour cleaning houses, if he works from 8:00am to 3:00pm,how much money will he make? objects made by people and can include tools, pottery, weapons, and jewlry The table below represents students' favorite skittle color. Using the table above, what is P( Boy|Green)?6/174/172/33/20 Why does more land = more power in ancient times? Sakura wants to analyze the effect of drinking alcohol on the functioning capacity of the liver. Her two research associates will conduct two separate studies about the same topic. Ricochet use an experiment approach. Tituba will use an observation study approach. Determine what will be the difference between both studies. The table shown below represents a function. Which of the following values could not be used to complete the table?x-10-25-55101520-200-150-5 Which inequality is true?3/4 > 12/165.6 6/5 -2/3 < -75 < 6/7