Astronomers estimate that a 2
-
km wide asteroid collides with the Earth once every million years. The
collision could pose a threat to life on Earth. (a) Assume a spherical asteroid has a mass of 3200 kg
for
each cubic meter of volume and moves toward the Earth at 15 km/s. How much destructive energy
could be released when it embeds itself in the Earth? (b) For comparison, a nuclear bomb could release
about
. How many such bombs would have to
explode simultaneously to release the
destructive energy of the asteroid collision with Earth? ...?

Answers

Answer 1
m)³ / 6 = 4.2e9 m³ 
so its mass is 
M = 3300kg/m³ * 4.2e9m³ = 1.4e13 kg 
and so its KE at 16 km/s = 16000 m/s is 
KE = ½ * 1.4e13kg * (16000m/s)² = 1.8e21 J 

# of bombs N = 1.8e21J / 4.0e16J/bomb = 44 234 bombs 
give or take. 

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Answer 2

The energy released by the asteroid when it collides with Earth would be equivalent to the simultaneous detonation of about 7.19 billion nuclear bombs.

To determine the destructive energy released when a 2-km wide asteroid collides with Earth, we need to calculate its kinetic energy.

The asteroid is assumed to be spherical, with a diameter of 2 km (2000 meters). Using the formula for the volume of a sphere, V = (4/3)πr³, where r is the radius:

Radius, r = 2000 / 2 = 1000 meters

Volume, V = (4/3)π(1000)³ ≈ 4.19 × 109 cubic meters

Mass Calculation:

Given the density of the asteroid is 3200 kg/m³:

Mass, m = 3200 kg/m³ × 4.19 × 109 m³ ≈ 1.34 × 1013 kg

Kinetic Energy Calculation:

The asteroid moves at 15 km/s (15000 m/s). Using the kinetic energy formula KE = (1/2)mv², we can find:

KE = (1/2) × 1.34 × 1013 kg × (15000 m/s)² ≈ 1.51 × 1022 Joules

Comparison to Nuclear Bomb

A nuclear bomb releases about 2100 TJ (terajoules), which is 2.1 × 1012 Joules. To find the equivalent number of bombs:

Number of nuclear bombs = [tex]1.51 * 1022 Joules / 2.1 * 1012 = 7.19 * 109 bombs[/tex]

The energy released by the asteroid when it collides with Earth would be equivalent to the simultaneous detonation of about 7.19 billion nuclear bombs.


Related Questions

Explain Why must a cooling system do work to transfer thermal energy?

Answers

Although internal energy will not spontaneously flow from a cold region to a hot region, it can be forced to do so by doing work on the system.Refrigerators and heat pumps are examples of heat engines which cause energy to be transferred from a cold area to a hot area. Usually this is done with the aid of a phase change, i.e., a refrigerant liquid is forced to evaporate and extract energy from the cold area. Then it is compressed and forced to condense in the hot area, dumping its heat of vaporization into the hot area. ARE YOU FROM K12?

The current in a wire is 0.72a calculate the charge that passes through the wire in 4s

Answers

Current = charge / time ----> charge = current x time = 0.72 x 4 = 2.88 coulombs.

Divide 40 kg mass into 4 piece such that you can weigh from 1 to 40 kg from those 4 masses ...?

Answers

  I assume you mean an whole number weight from 1 to 40 kg. 

Answer: 
27 kg 
9 kg 
3 kg 
1 kg 

To weigh 1 kg, that's obvious. 
To weigh 2 kg, put 3 kg on one side, 1 kg on the other. Put your object with the 1 kg weight and make it balance. 
To weigh 3 kg, that's obvious 
To weigh 4 kg --> 3 kg + 1 kg 
To weigh 5 kg --> 9 kg on one side, 3 kg + 1 kg on the other 
To weigh 6 kg --> 9 kg vs. 3 kg. 
To weigh 7 kg --> 9+1 kg. vs. 3 kg. 
To weigh 8 kg --> 9 vs. 1 
9 --> 9 
10 --> 9 + 1 
11 --> 9 + 3 | 1 
12 --> 9 + 3 
13 --> 9 + 3 + 1 
14 --> 27 | 9 + 3 + 1 
15 --> 27 | 9 + 3 
etc. 

You should be able to follow the pattern all the way to 40 kg.
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According to Newton's first law of motion, what is required to make an object at rest move?

Answers

An external force will make an object at rest move
A force equal to the force keeping the object at rest, but in the opposite direction.

The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car’s motion? A.It’s not moving. B. It’s moving at a constant speed. C.It’s moving at a constant velocity. D. It’s speeding up.

Answers

Answer;

A.It’s not moving.

Explanation;

Position-Time graphs display the motion of a object by showing the changes of velocity with respect to time.

The motion of a car on a position-time graph that is represented with a horizontal line indicates that the car has stopped moving.

A straight line with a positive slope indicates that the car is moving at a constant velocity, and thus the slope is constant. On the other hand, a curve with a changing slope, shows that the velocity is changing.

Actually it DOES mean that it is not moving. That other guy was right and you gave him 2 stars!

Which electromagnetic wave has wavelengths just longer than visible light?

Answers

infra-red has wavelengths just longer than visible light.

Answer:

Infrared waves

Explanation:

If electromagnetic waves are arranged in increasing order of wavelengths then the order is given as following

1. Gamma rays

2. X rays

3. Ultraviolet waves

4. Visible light

5. Infrared waves

6. micro waves

7. Radio waves

So here we can say that increasing the wavelength means the energy is decreasing as we move towards higher wavelength.

So from above order the larger wavelength with respect to the visible light is given as "Infrared waves"

As a certain object falls, its position s (in meters) above ground after t seconds is given by s(t)=20-5t^2. Whats the average velocity of the object on the interval from t=1 to the time .5 seconds later?? from t=1 to the time .1 seconds later?

Answers

The average velocity of the object would be :

[s (1.5) - s (1)] /  0.5

= [8.75 -15] / 0.5

= 12.5 m/s

Hope this helps

How many neutrons does element X have if its atomic number is 48 and its mass number is 167?

How many neutrons?

Answers

you would have to subtract the mass number with atomic number which will give you 119 number of neutrons.

a 155 gram sample of copper was heated to 150.0ºC then placed into 250 gram of water at 19.8ºC. (The specific heat of copper is 0.385J/gºC.)Calculate the final temperature of the mixture. (assume no heat loss to the surroundings)

Answers

Final temp will be averages of the copper and the water. Since no energy values are discussed, specific heat will be irrelevant here.

150.0ºC+19.8ºC=169.8ºC/2=84.9ºC

an is_____ produced around a wire when electrical current is in the wire

Answers

 A magnetic field is produced around a wire when electrical current is in the wire :)

Which of the following is an example of speed only?
A. 25 kilometers per hour (25 km/h)
B. 45 miles per hour to the east (45 mph to the east)
C. 60 meters per hour per second (60 m/h s)
...?

Answers


The best and most correct answer among the choices provided by your question is the first choice or letter A.

An example of speed only is: 25 kilometers per hour (25 km/h).

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25 kilometers per hour (25 km/h)  is an example of speed only.

Thus, Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.

In other words, velocity is a vector, whereas speed is a scalar value. For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.

The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to go the distance, which is a pretty simple mathematical formula and speed.

Thus, 25 kilometers per hour (25 km/h)  is an example of speed only.

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What is a circuit. .

Answers

A circuit is a closed circle that electricity can flow through.
circuit is a path between two or more points along which an electrical current can be carried

A(n) 0.95-kg bucket is tied to a rope of negligible mass that is wrapped around a pole mounted horizontally on frictionless bearings. The cylindrical pole has a diameter of 0.340 m and a mass of 2.60 kg. When the bucket is released from rest, how long will it take to fall to the bottom of the 20.0 m well?

Answers

The difficulty is to find the acceleration with which the bucket will fall. It will not fall with "g" because of the tension in the rope.

On pole torque ,τ = Tr = Iα where I is moment of inertia of pole =Mr^2/2 and r is the radius of the pole

α = Tr/I ..........................................(1)

Applying newtons law on bucket,

ma = mg-T a=g-T/m .................................................(2)
 
If the rope does not slip

a=αr

g-T/m = Tr^2/I

Putting I = Mr^2/2 ,we get

g-T/m = 2T/M T = g/(1/m+2/M)
 
Putting this value of T in eqn (2), we will get the value of "a" the downward accelration of bucket.

(Please find a by putting the values of m and M yourself).

Now that we know the value of "a", find time taken to travel 20m is very easy.
 
Apply the equation of motion s=ut+1/2at^2
 
u=0

s=20m

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

What happens when two objects made out of diffferent materials are rubbed together?

Answers

There is friction between the two.

What is the basis for dividing the atmosphere into four layers?

Answers

The atmosphere can be divided into four layers based on temperature variations. The layer closest to the Earth is called the troposphere. Above this layer is the stratosphere, followed by the mesosphere, then the thermosphere

The basis for dividing the atmosphere into four layers is due to the temperature gradient of the layers.

What is meant by atmosphere ?

The layer of gases that covers Earth is known as the atmosphere. The gravitational pull of the planet's neighbor, Earth, keeps it close to the surface.

Here,

The troposphere, stratosphere, mesosphere, thermosphere, and exosphere are the principal layers of the atmosphere, listed in order from lowest to highest. The troposphere of the planet is a layer of air that rises from the surface of the planet to an average height of 12 kilometres (7.5 miles), however it is higher in the equator and lower at the poles.

Temperature gradient is the term used to describe a difference in temperature with distance. According to the temperature gradient inside each layer, the Earth's atmosphere is classified into layers, and each layer's heat source defines its own temperature gradient.

Hence,

The basis for dividing the atmosphere into four layers is due to the temperature gradient of the layers.

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Selecting a signaling site and putting your signal in a suitable location is critical. a signaling site is defined as any site, based on your situation that enhances signaling efforts and the likelihood for the signal to be detected by friendly forces. what is a signaling site criterion?

Answers

Final answer:

A signaling site criterion involves selecting a location based on characteristics that enhance the likelihood of successful signal transmission, much like the site location analysis done by geographers.

Explanation:

A signaling site criterion is an important factor when selecting a location for sending out signals so that they can be effectively detected by friendly forces or intended recipients. This concept is similar to site location analysis in geography, where geographers assess various factors to determine the most advantageous location for a city, business, or other establishments based on site and situation factors. The criteria focus on attributes such as the availability of resources, the location's visibility, accessibility, and the likelihood of successful signal transmission. Like how a city benefits from a good harbor or central location, a signaling site should enhance the probability of signal detection while considering both the physical characteristics of the site and the external factors affecting its efficacy.

A fluid is
A.) a solid substance made up of crystals.
B.) a substance that has a definite shape and a definite volume.
C.) a substance that flows
D.) a substance that melts at a distinct temperature.

Answers

c) a substance that flows
it is c a substance that flows.

If you do 200 joules of work using a force of 5 newtons,over what distance will the force applied

Answers

The answer to your question is 1000

Only electrons orbit the nucleus of an atom true or false

Answers

true because nucleus is made of protons and neutrons and in outside the nucleus u have an orbit like jupiters or saturn which contain electrons. So electrons are like the moons of saturn or jupiter's  
Final answer:

The statement that only electrons orbit the nucleus of an atom is false.

Explanation:

The statement that only electrons orbit the nucleus of an atom is false. In an atom, there are several subatomic particles, including protons and neutrons, that also make up the nucleus. Electrons, on the other hand, are found in energy levels or orbitals outside the nucleus. These energy levels determine the arrangement and behavior of electrons in an atom.

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The smallest unit of an element that maintains the properties of that element is a (n)

Answers

atom is the answer to the question
it is an atom that's the answer

Which kind of force do you exert on an object when you pull it toward you?

A. Applied Force
B. Attractive Force
C. Drag Force
D. Normal Force

Answers

I believe the answer is A.Applied Force ^-^

By definition we have to:

Applied force: It is the external force that acts directly on a body.

Therefore, we can say that if you have an object and push it towards yourself, you are exerting an external force on the object.

This external force was not acting on the object previously, therefore, it is a force that you are applying at that moment.

Answer:

you exert an Applied Force on an object when you pull it towards you

A. Applied Force


When is thermal equilibrium achieved between two objects?









A.
when thermal energy is no longer transferred







B.
when one objects is hotter than the other







C.
when both objects have the same temperature







D.
when the particles in one object have more kinetic energy

Answers

Final answer:

Thermal equilibrium between two objects is achieved when they are at the same temperature, resulting in no net flow of thermal energy between them. This satisfies the conditions of the zeroth law of thermodynamics. So the correct option is C.

Explanation:

Thermal equilibrium is achieved between two objects when both objects have the same temperature, which corresponds to option C. At this point, no thermal energy is transferred between the objects because their molecules have the same average kinetic energy. This concept is rooted in the zeroth law of thermodynamics, which also suggests that if object A is in thermal equilibrium with object B, and object B with object C, then objects A and C are also in thermal equilibrium. Therefore, the net flow of heat ceases once the objects reach the same temperature.

Key Points:

Thermal equilibrium occurs when two bodies can exchange energy but do so without a net energy transfer.Heat is the transfer of energy caused by a temperature difference and stops when temperatures equalize.The zeroth law of thermodynamics justifies the concept of temperature and standard measurement tools like thermometers.

You need to move a 105kg sofa to a diffrent room. It takes a force of 102 N to start it moving. What is the coefficient of static friction between sofa and carpet? ...?

Answers

The solution to the problem is as follows:

mu = F/N = 102/(105*9.8) = 0.0991

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Given the velocity v=ds/dt and initial position of a body moving along a coordinate line, find the body's position at time t. v = sin(pi(t)) s(-6)=0. ...?

Answers

So  lets see, I think the next formula can help you finding the body's position at time:
v(t)=s(t)=−(1/π)∗cos(π(t))+C s(t)=0 at t=-6 so C=(1/pi)
Saying this we do:s(t)=[−cos(π∗t)+1]/π
I think thic could help you through

in the movie The Martian why does Watney need to move away from the HAB?

Answers

Its gonna blow!!! jk running out of oxygen

Final answer:

While the movie The Martian portrays a strong windstorm forcing Mark Watney to move away from the HAB, in reality, Mars' thin atmosphere makes such forceful windstorms unlikely. Watney's movements away from the HAB are more a result of seeking survival solutions than escaping the aftermath of a storm. The movie creatively explores human survival and ingenuity on Mars, though it takes liberties with Martian atmospheric science.

Explanation:

In the movie The Martian, the protagonist Mark Watney, played by Matt Damon, is stranded on Mars due to a strong windstorm that forces his crew to evacuate, thinking him dead. This premise raises intriguing questions about the possibility of such windstorms on Mars. Although the depiction of Mars in the film is largely accurate, astronomers have pointed out that the Martian atmosphere is too thin for windstorms to possess the force shown in the movie. Thus, the scenario dramatized in the film, including the necessity for Watney to move away from the HAB (Habitat Module), stems more from creative license than from scientific accuracy. However, this fictional setup serves as a backbone for exploring human ingenuity and survival in extraterrestrial environments.

Watney's decision to move away from the HAB at different points in the story is driven more by narrative needs and his strategies for survival, such as finding a way to communicate with Earth or traveling to the Ares 4 landing site, rather than by the windstorm's aftermath. The challenges Watney faces and overcomes highlight a powerful message about resilience and the capacity to innovate under dire circumstances.

1. How far from the home did Karen and her mother travel during the first hour of the trip?

2. Calculate the average speed of the car during the first hour of the trip.

3. How far did Karen and her mother travel during the second hour of the trip?

4. Calculate the average speed of the car during the first two hours of the trip.

5. Identify the time period(s) during the trip when the car was traveling at the greatest average speed.

6. Identify the time period(s) during the trip when the car was stopped.

7. Calculate the average speed of the car for the first three hours of the trip.

8. If Karen and her mother take three hours to come home, calculate the average speed of the car for the trip home.

Answers

1).  The first green circle on the graph, at 1 hr, is up at 40 miles.

2).  (40 miles) / (1 hour)  =  40 mph

3).  The distance doesn't change during the second hour.
     They didn't travel at all during that hour.

4).  Average speed = (distance covered) / (time to cover the distance)
                             =      40 miles           /          2 hours
                             =                    20 mph during the first 2 hours

5).  The greatest average speed is the period where the graph
has the steepest slope.  That's during the first hour.

6).  The car was stopped during the whole 2nd hour and the whole 5th hour.

7).  At the end of 3 hours, the graph has moved up to 60 miles.
The average speed during those 3 hours is

                     (60 miles) / (3 hours)  =  20 mph .

8).  The farthest away from home they ever got was 76 miles.
If they take 3 hours to return, over the same route, then their
average speed on the return will be

           (76 miles) / (3 hours)  =  (25 and 1/3) miles per hour.

A ball rolls off the edge of a horizontal roof at 10 m/s. 2 seconds later, the speed of the ball will be? a. 10 m/s b. 19.6m/s c. 29.6 m/s d.22 m/s ...?

Answers

Final answer:

The ball will have a speed of 22 m/s after 2 seconds.

Explanation:

When the ball rolls off the edge of a horizontal roof, it becomes a projectile and begins to fall under the influence of gravity. The horizontal component of its velocity remains constant, so after 2 seconds, the ball will still have a horizontal speed of 10 m/s.

However, the vertical component of its velocity will increase due to the acceleration of gravity. The acceleration due to gravity is approximately 9.8 m/s². So after 2 seconds, the ball will have accelerated 9.8 m/s² for 2 seconds, resulting in a change in velocity of 19.6 m/s.

To find the speed of the ball after 2 seconds, we need to find the resultant velocity by using the Pythagorean theorem. The initial horizontal velocity is 10 m/s and the change in vertical velocity is 19.6 m/s. So:

Resultant velocity = sqrt((10)^2 + (19.6)^2) = 22 m/s.

Therefore, the correct answer is d. 22 m/s.

Final answer:

The final speed of a ball rolling off a horizontal roof with an initial horizontal speed of 10 m/s after 2 seconds will be 22 m/s, due to the additional vertical velocity it gains from gravity. So the correct option is d.

Explanation:

A ball rolls off the edge of a horizontal roof at 10 m/s. To determine the speed of the ball 2 seconds later, we use the equation for the final velocity of an object in free fall: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (9.8 m/s²), and t is time. Since the ball rolls off horizontally, the initial vertical velocity is 0, and the horizontal velocity remains the same since there's no air resistance. Hence, the horizontal velocity after 2 seconds is still 10 m/s. For the vertical velocity, we use u=0, a=9.8 m/s², and t=2 s:

Vertical velocity after 2 seconds = 0 m/s + (9.8 m/s² * 2 s) = 19.6 m/s

We now have both horizontal and vertical velocities. The speed of the ball will be the vector sum of these two velocities, calculated using the Pythagorean theorem:

Total speed = sqrt(10 m/s² + 19.6 m/s²) = 22 m/s

Therefore, the correct answer is (d) 22 m/s.

If energy efficiency is improved, the cost of energy would decrease and _____. more coal would be available less electricity would be used homes would cost significantly less energy star appliances would no longer be necessary

Answers

...less electricity would be used.

Answer:

less energy would need to be generated.

Explanation:

What is efficiency?

Energy efficiency just means that you need less energy for the same consumption or demand.

In distribution and transportation of energy we lose some of the energy generated at the power plants, be it in the form of heat radiation because of the resistance of power cables or in the form of electromagnetic radiation, so if we improve efficiency, then less energy is lost in those two ways to power the same demand. Putting it simply, let's say your house demands 10kW, and the cable connecting you with the utility loses 1kW, then:

1kW+10kW = 11kW <- That needs to be generated

But if we improve that efficiency by 50% then the loses are cut by half, 1kW/2=0.5kW, so:

0.5kW+10kW = 10.5 kW <- 0.5 kW less that need to be generated. Multiply that by the number of homes in America for example and you have  tremendous power-saving potential

two boxes sit on a frictionless surface and are in contact with one another. the first box has a mass of 7 kg and the second box has a mass of 8 kg. A 25 N force is applied to the 7 kg box. Find the acceleration of the boxes. find the force between the boxes

Answers

the acceleration of the boxes depends on the mass and weight. 

we have a mass of 7 and 8 kilograms

if it took 25 N force to move box A, then you would take 25 and multiply by 8 then divide by 2. 

It will leave you with 100 N. 

finally take the sq rt of 100 to get 10

Final answer:

The acceleration of the two boxes on a frictionless surface is 1.67 m/s². The force between the two boxes, as calculated using Newton's second law of motion, is 13.36 N.

Explanation:

To find the acceleration of the two boxes on a frictionless surface that are in contact with each other, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass (F = ma).

The first box has a mass of 7 kg and the second box has a mass of 8 kg. The total mass of the system is therefore 7 kg + 8 kg = 15 kg. When a 25 N force is applied to the 7 kg box, and since there is no friction, this force is the net force acting on the system of both boxes.

The formula for acceleration is a = F/m, where F is the net force and m is the total mass. Substituting our values, we have a = 25 N / 15 kg, which gives an acceleration (a) of 1.67 m/s² (to two decimal places).

Now to find the force between the boxes, we consider that the same acceleration applies to both because they are in contact. The force that the 7 kg box exerts on the 8 kg box is equal to the mass of the 8 kg box times the acceleration. Using F = ma again, we get F = 8 kg x 1.67 m/s², which gives us a force (F) of approximately 13.36 N.

Can centripetal force ever do work on an object? ...?

Answers

no, i think centripetal force can never do work on object

Work = force x distance

Centripetal force can create the force, but there will never be any effect on the distance, which make it became 0 

Hope this helps
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I had root beer in my cereal this morning because I forgot to buy milk. Type of Clause: Subordinate Clause: what is the opposite of nadar Choose the phrase that best completes this sentenceno puedo oir tus palabras. necesitas hablar ______a. en espaolb. enjoy voz Bajac. en el escenariod. en voz alta Which of the following perceptions influence why and how people drink:A. How much we think others are drinkingB. Movies and advertisementsC. Family upbringingD. All of the aboveKey signs of an alcohol overdose include:A. Being in a semiconscious stateB. Difficulty breathingC. Both A and BD. Neither A nor BIf you don't know how much alcohol is in a drink, you can:A. Ask the person who poured itB. Throw it out and make another oneC. Both A and BD. Neither A nor BWhich part(s) of the brain, when impaired by alcohol, play an important role in memory:A. Nucleus accumbensB. HypothalamusC. HippocampusD. All of the aboveAfter people have been drinking:A. They will have a harder time making safe decisions about not drinking and drivingB. They need to leave 1 hour to sober up before attempting to driveC. They should have some caffeine to sober up Who was the 24 president? Solve the quadratic equation: 2x2 + 11x 6 = 0 ...? NiCl3 is a strong electrolyte. Determine the concentration of each of the individual ions in a 0.600 M NiCl3 solution. URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Rewrite the following sentences using vivid adjectives and avoiding slang and nonstandard English.The artist has a cool approach to art. Which choice is equivalent to the expression below? Which sentence is punctuated correctly?1. I am going home I intend to stay there2. I am going home; I intend to stay there.3. I am going home, I intend to stay there.4. I am going home-I intend to stay there According to the Sixth Amendment, what can the woman do to support her court case? Name three things Benjamin Banneker is known for -2x-5y=10 find the slope of the line descibes by each equation Why did kings of France, England, and Spain urge exploration and settlement of the New World? what is the relationship between 0.7 and 0.07 Steam Workshop Downloader