A spaceship of mass 2.40x10⁶kg is to be accelerated to a speed of 0.700 c. (a) What minimum amount of energy does this acceleration require from the spaceship's fuel, assuming perfect efficiency?

Answers

Answer 1

The minimum energy required is 3.02 x 10²³ joule.

We need to know about relativistic energy to solve this problem. The rest energy of the object can be determined by

Eo = m₀ . c²

where Eo is rest energy, m₀ is rest mass and c is the speed of light (3 x 10⁸ m/s).

The total energy of object can be described as

E = Eo / √(1 - v²/c²)

where E is total energy, v is the object speed.

From the question above, we know that :

m₀ = 2.4 x 10⁶ kg

c = 3 x 10⁸ m/s

v = 0.7c

Find the rest energy

Eo = m₀ . c²

Eo = 2.4 x 10⁶ . (3 x 10⁸)²

Eo = 2.16 x 10²³ joule

Determine the total energy

E = Eo / √(1 - v²/c²)

E = 2.16 x 10²³ / √(1 - (0.7c)²/c²)

E = 2.16 x 10²³ / 0.71

E = 3.02 x 10²³ joule

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Related Questions

I WILL MARK BRAINLIEST

Answers

Answer:

well I mean it would depend on where u live for this question that's the only reason I am confused.. I'm pretty sure it's A thi

I believe the answer is A given by the position of the arrow

a ball is thrown upward at 25 m/s from the ground. what is the balls velocity after 4 seconds?​

Answers

Answer:

-14.2m/s

Explanation:

Given parameters:

Initial velocity of the ball  = 25m/s

Time  = 4s

Unknown:

Final velocity of the ball  = ?

Solution:

To solve this problem, we use the expression below;

               v  = u - gt

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

t is the time

             v = 25  - (9.8 x 4)  = -14.2m/s

(b) What If? A particle with charge q is located a very small distance from the center of a very large square on the line perpendicular to the square and going through its center. Determine the approximate electric flux through the square due to the charged particle.

Answers

A particle with charge q is a very small distance from the centre of a very large square on the line perpendicular to the square and going through its centre.

Since the distance between the charge and the centre of the square is very small, the square contains the field lines emerging from the charge.

[tex]\Phi_{E,square} = \frac{q}{2_{\in_{0} } }[/tex]

A particle is a small localized object which can be ascribed to several physical or chemical properties, such as volume, density, or mass.[1][2] They vary greatly in size or quantity, from subatomic particles like the electron to microscopic particles like atoms and molecules, to macroscopic particles like powders and other granular materials. Particles can also be used to create scientific models of even larger objects depending on their density, such as humans moving in a crowd or celestial bodies in motion.

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A 8 kg ball is moving with a speed of 10 m/s directly toward a 4 kg ball
which is at rest. The two balls collide and stick together. What is their
velocity immediately after the collision?

Answers

Answer:

v₃ = 6.67 [m/s]

Explanation:

To solve this problem we must use the linear momentum conservation theorem, which tells us that momentum is preserved before and after the collision.

Let's take the ball movement of 8 [kg] as positive.

Therefore we can built the following equation:

[tex](m_{1}*v_{1})+(m_{2}*v_{2})=(m_{1}+m_{2})*v_{3}[/tex]

where:

m₁ = mass of the 8 [kg] ball

m₂ = mass of the 4 [kg ] ball

v₁ = velocity of the 8 [kg} ball before the colllision = 10 [m/s]

v₂ = velocity of the 4 [kg] ball before the colllision = 0 [m/s] (at rest)

v₃ = velocity of the two balls after the collision [m/s]

[tex](8*10)+(4*0)=(8+4)*v_{3}\\80 = 12*v_{3}\\v_{3}=6.67 [m/s][/tex]

What is the weight of a 225 kg space probe on the moon? The gravitational field on the moon is 1.62 N/kg. Show work.
a. 139 N
b. 364 N
c. 1.35 x 10^3 N
d. 2.21 x 10^3 N

Answers

Answer:

b. 364 [N]

Explanation:

We must remember that the gravitational force can be calculated by means of the product of mass by acceleration. In this case, the acceleration corresponds to the gravitational acceleration of the moon.

[tex]F=m*g\\[/tex]

where:

F = force [N]

m = mass = 225 [kg]

g = moon gravity acceleration = 1.62 [m/s²]

[tex]F = 225*1.62\\F = 364.5[N][/tex]

The weight is 364 N

The calculation can be done as follows

mass= 225 kg

gravitational field= 1.62 N/Kg

Formula is

F= mg

= 225 ˣ 1.62

= 364

= 364 N

Hence the weight of the probe on the moon is 364N

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A cart sitting at the top of a hill has 9000 J of potential energy. The cart is then pushed and by the time it is half way down the hill it has converted half of its potential energy . If the carts weighs 1000 kilograms then how fast is the cart rolling when it is halfway down the hill?

Answers

Answer:

Explanation:

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Answers

Answer:

Wow this I very simple actually, but its hard if you don't know how to do it like me

the following four waves are sent along strings with the same linear densities (x is in meters and t is in seconds). rank the waves according to (a) their wave speed and (b) the tension in the strings along which they travel, greatest first:

Answers

(a) If we consider the waves to travel in a straight line (x = 0), according to their wave speed,

Wave A is the slowest wave and it travels at a speed of 0.5 meters per secondWave B is the next slow wave and it travels at a speed of 1 meter per second Wave C is the fastest wave and it travels at a speed of 2 meters per second Wave D is the fourth and final slow wave and it travel at a speed of 1.

(b) The waves are ranked according to the tension in the strings along which they travel, with the greatest first,

The waves with the lowest tension (wave A and C) travel along the strings with a lower linear density. Wave B travels along the string with a higher linear density, so it has greater tension. Wave D travels along the string with an even higher linear density, so it has even greater tension.

In waves, what does linear density mean?

The linear density of the string and the tension in the string both affect the wave's speed. The linear density is the mass divided by the string's length. In general, the square root of the ratio of the medium's elastic to inertial properties determines a wave's speed.

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if the pumpkin is thrown from a height of 14 meters above the ground. the velocity of the pumpkin when it is thrown is 23 m/s at 40 degrees above the horizontal. what is the value of the horizontal velocity when the pumpkin is thrown

Answers

Answer:

The value of the horizontal velocity when the pumpkin is thrown is approximately 17.619 m/s

Explanation:

The height from which the pumpkin is thrown = 14 meters

The velocity with which the pumpkin is thrown = 23 m/s

The direction in which the pumpkin is thrown = 40° above the horizontal

The horizontal component of the velocity = 23 × cos(40) ≈ 17.619

Therefore, the value of the horizontal velocity when the pumpkin is thrown ≈ 17.619 m/s

Which set of words below make the following statement about energy correct?

"Energy cannot be ________ or ________. Energy ________ from one form to another."

Group of answer choices

increased, decreased, flows

added, removed, moves

created, destroyed, transforms

Answers

Answer:

created, destroyed, transforms

Explanation:

Energy cannot be created nor destroyed.

Energy is transformed from one form to another form.

This is the postulate of the law of conservation of energy.

Energy is neither created nor destroyed simply implies that energy is not produce in any system. Nor is it destroyed.

What we have is energy transformation from one form to another.

sam is an astronomer on planet hua, which orbits the distant star barnard. it has recently been accepted that hua is spherical in shape, although its exact size is unknown. while studying in the library, in the city of joy, sam learns that during equinox, barnard is directly overhead in the city of bar, located 1100.0 km north of his location. on the equinox, sam goes outside and measures the altitude of barnard at 78 degrees. what is the radius of hua in km?

Answers

There are 90 degrees directly overhead. Barnard is at 74 degrees at Sam's position, 1300.0 kilometers south. The part of the 360 degree circle that corresponds to Hua's circumference is the difference between 90 and 74, or 16 degrees. 1300.0 km is therefore 16/360 of the circle, or 0.044 times the circumference. 29.250 km is the circumference (1300 divided by 0.044). Radius divided by two gives the circumference equation. Therefore, 2r=29250 and the radius of Hua=4655.3 km

What do you mean by Astronomy?

Astronomy is a scientific science that examines celestial objects and phenomena (from the Ancient Greek "o" (astronoma), "science that investigates the laws of the stars"). In order to describe their creation and evolution, it makes use of mathematics, physics, and chemistry. Planets, moons, stars, nebulae, galaxies, and comets are among the interesting celestial bodies. Supernova explosions, gamma ray bursts, quasar, blazar, pulsar, and cosmic microwave background radiation are examples of relevant phenomena. Astronomy is the study of everything that comes from outside the atmosphere of the Earth. Astronomical cosmology is the study of the cosmos as a whole.

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what is the benefit of using neutral arguments to express oneself while in a conflict.

Answers

Answer:

Neutral arguments avoid using "you" statements and, therefore, can assist in avoiding being perceived as offensive or indicating that you believe your opponent is unreasonable. It is best to use "I" statements rather than "you" statements, because it helps keep the tone of statements neutral, which avoids escalating the conflict.

Explanation:

Answer:

the person above is correct ^^^^^^^^^^^

Explanation:

Not really sure what it is

Answers

Answer:

water seeping through a pot of soil

Explanation:

All the others permanently change the chemical structure of the element so they are chemical reactions

What is the unit for electrical power?
O volt (V)
O joule (J)
O kilowatt-hour (kWh)
O watt (W)

Answers

Answer:

The answer is Watt

Explanation:

Electricity is measured in Watts and kilowatts

Electricity is measured in units of power called Watts, named to honor James Watt, the inventor of the steam engine. A Watt is the unit of electrical power equal to one ampere under the pressure of one volt. One Watt is a small amount of power.

Watt (W) is the unit for electrical power

please help me promise would mark you brainiest

Answers

B. Please mark me the brilliantest pls

calculate in centimeters the distance traveled in 1 year by a rocket moving 12,000 meters/second

Answers

378,720,000,000,000cm

okay please help me I’m timed!

Answers

Answer: It is C

Explanation: A disturbance that transfers energy from one place to another, without transferring matter! I just finished that unit! I hope you find this helpful and your welcome!

the answer you are looking for is c

How many protons and electrons will each of those elements have after forming ions, and how can you tell

Answers

The proton number is the atomic number of the element, while the electron number is the atomic number minus the charge. A negatively-charged ion or anion has more electrons than protons. Again, the number of protons is the atomic number. The number of electrons is the atomic number added to the charge.

I need help on this the first one is plant cell

Answers

Answer:

The Vacuole

Explanation:

The Vacuole

The intensity of a sound wave at a fixed distance from a speaker vibrating at 1.00kHz is 0.600 W/m².(a) Determine the intensity that results if the frequency is increased to 2.50 kHz while a constant displacement amplitude is maintained.

Answers

The intensity that results if the frequency is increased to 2.50 kHz while a constant displacement amplitude is maintained is 3.74 W/m².

What do you mean by sound intensity?

The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square meter (W/m2) is the SI unit of intensity, which also covers sound intensity. One use for this technology is to measure the amount of sound energy present in the air near a listener. Sound pressure and sound intensity are two different physical quantities. Sound pressure, which is correlated with sound intensity, is sensitive to human hearing. While level disparities are referred to as "intensity" differences in consumer audio electronics, sound intensity is a precisely defined quantity that cannot be detected by a straightforward microphone.

I = 2π2ρf2v∆s

Given:

Frequency, [tex]f_{1}=1\;kHz[/tex]

Increased frequency, [tex]f_{2}=2.50\;kHz[/tex]

Intensity at first, [tex]I_{1}=0.6\;W/m^{2}[/tex]

We know that,

[tex]I \propto f^{2}\;A^{2}[/tex]

Here, constant displacement amplitude is maintained,

[tex]A_{1}= A_{2} =A[/tex]

Therefore,

[tex](\frac{I_{2} }{I_{1} } ) = (\frac{f_{2} }{f_{1} } )^{2} \;(\frac{A }{A })^{2}[/tex]

Substitute the known values in the above equation,

[tex](\frac{I_{2} }{0.65} ) = (\frac{2.4}{1} )^{2}[/tex]

By solving the above equation, we get

[tex]I_{2}=3.74\;W/m^{2}[/tex]

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Why do we use the name electromagnetism to describe the force of an
electromagnet SOMEONE PLS ANSWER FAST

Answers

Answer:

magnet, gravity

Explanation:

what are three considerations diamond discusses as he ponders yali’s question in guns, germs, and steel

Answers

The three considerations diamond discusses as he ponders Yali's question in guns, germs and steel are:

Explaining why Europe has become more advanced than other regions tends to confirm the notion that Europe is betterFraming the question in this way contributes to a Eurocentric view of human developmentThe question assumes that the natural progression of human history is toward "civilization" and that being "civilized" is better than being "primitive."

The stage of human social and cultural development and organization that is considered the most advanced is termed as civilization.

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what is nuclear energy​

Answers

Answer:

Nuclear energy, also called atomic energy, energy that is released in significant amounts in processes that affect atomic nuclei, the dense cores of atoms. It is distinct from the energy of other atomic phenomena such as ordinary chemical reactions, which involve only the orbital electrons of atoms.

Explanation:

Answer: Nuclear energy, also called atomic energy, energy that is released in significant amounts in processes that affect atomic nuclei, the dense cores of atoms. It is distinct from the energy of other atomic phenomena such as ordinary chemical reactions, which involve only the orbital electrons of atoms.

Explanation: please give brainliest and thanks :)


Cameron flies directly west for 13 km, then turns to the south and flies for another 30 km. He then flies east for 13 km before landing at the airport.

Answers

What’s the questions?

Answer:

Distance = 56km Displacement = 30km

Explanation:

hope I helped

Considerando que los coeficientes de dilatación de los siguientes metales son: hierro 11.7 x 10-6; plomo 27.3 x 10-6; cobre 16.7 x 10-6. Si tienes 3 varillas de 4 m de longitud de los diferentes metales al incrementar su temperatura 10°C cada uno, el que tendrá una mayor longitud será e

Answers

Answer:

el plomo será el más largo

Explanation:

Dado que;

longitud inicial (l1) = 4m

Longitud final l2

aumento de temperatura (θ) = 10 ° C

Coeficiente de expansión lineal α

Ahora para el hierro;

α = 11,7 x 10-6

Desde;

l2-l / l1θ = α

l2 = α l1θ + l1

l2 = l1 (αθ + 1)

l2 = 4 ((11,7 x 10-6 * 10) + 1)

l2 = 4.00044 m

Para el plomo

l2 = 4 ((27,3 x 10-6 * 10) + 1)

l2 = 4,00109 m

Para cobre

l2 = 4 ((16,7 x 10-6 * 10) + 1)

l2 = 4.000668 m

Por lo tanto, el plomo será el más largo

The diagram illustrates that temperature is not always increasing. At what points in the graph is there NO temperature change, why?
A. A-B; the energy is being used to melt the solid
B. B-C; the energy is being used to change the state of matter (melting)
C. C-D; the energy is being used to boil the liquid
D. the temperature is increasing throughout the graph

Answers

Answer:

A

Explanation:

Hopefully this helps

Answer:

A

Explanation:

please help me swear will mark brainiest

Answers

Answer:

its weight only option a.

what is the answer for this question (4x³)²​

Answers

16x to the power of 6
16x to the power of 6 <3

This hurts. Help me.

Answers

Answer:

a. T₂ = 60 N

b. W = 25.98 N

Explanation:

a.

Taking right side as positive x direction, the equation for sum of forces in x-direction can be written as follows:

[tex]T_{2}Sin\ 30^o - T_{1} = 0\\T_{2}Sin\ 30^o = T_{1}\\T_{1} = (T_{2})(Sin\ 30^o)\\where,\\T_{2} = 30\ N\\Therefore,\\T_{1} = (30\ N)(Sin\ 30^o)\\[/tex]

T₁ = 15 N

b.

Taking upward direction as positive y direction, the equation for sum of forces in y-direction can be written as follows:

[tex]T_{2}Cos\ 30^o - W = 0\\T_{2}Cos\ 30^o = W\\W = (30\ N)Cos\ 30^o\\[/tex]

W = 25.98 N

What would be the resulting condition if Earth's axis was perpendicular to the Sun?

a. The winters would be much colder.
b. There would no longer be seasons.
c. The summers would be much hotter.
d. There would be a reversal of seasons.

Answers

I think it is B but I’m not sure but most likely it is

There would no longer be seasons if Earth's axis was perpendicular to the Sun because the variation in the seasons happens due to the tilt of the earth which results in unequal distribution of the sunlight on the earth's surface throughout the year.

Therefore the correct answer is option B.

What is the equator?

The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude.

As given in the problem we have to find what happens if Earth's axis was perpendicular to the Sun,

If the Earth's axis were perpendicular to the Sun, there wouldn't be any seasons since the tilt of the planet causes an uneven distribution of sunlight on its surface throughout the year, which causes seasonal fluctuation.

Thus, the correct answer is option B.

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