The mass of the asteroid would have to be approximately 1.67 x 10^22 kg, or about 2.8% of the mass of the Earth, for the day to become 25% longer.
When the asteroid collides with the Earth at the equator and buries itself just below the surface, it will transfer some of its angular momentum to the planet.
This will cause the Earth to rotate more slowly, resulting in a longer day. To calculate the required mass of the asteroid, we need to use the principle of conservation of angular momentum.
Assuming that the Earth is a uniform sphere and that the asteroid is very small compared to the Earth, the initial angular momentum of the Earth is given by:
L = Iω = (2/5)MR²ω
where I is the moment of inertia of the Earth, ω is the initial angular velocity of the Earth, M is the mass of the Earth, and R is the radius of the Earth.
After the collision, the angular momentum of the Earth will be:
L' = (2/5)MR²(ω/1.25)
where ω/1.25 is the final angular velocity of the Earth, assuming that the day becomes 25% longer.
The change in angular momentum of the Earth is therefore:
ΔL = L' - L = (2/5)MR²(ω/1.25) - (2/5)MR²ω = (2/25)MR²ω
The asteroid must therefore have an angular momentum of:
L_asteroid = -ΔL = -(2/25)MR²ω
Assuming that the asteroid is traveling straight toward the center of the Earth, its angular momentum is given by:
L_asteroid = mvR
where m is the mass of the asteroid, v is its velocity, and R is the radius of the Earth.
Equating these two expressions for the angular momentum of the asteroid, we get:
mvR = -(2/25)MR²ω
Solving for m, we get:
m = -(2/25)(Rω/v)M
Substituting the value for the initial angular velocity of the Earth (ω = 7.292 x 10^-5 rad/s), the radius of the Earth (R = 6.371 x 10^6 m), and the velocity of the asteroid (v = escape velocity = 11.2 km/s), we get:
m = 1.67 x 10^22 kg
Therefore, the mass of the asteroid would have to be approximately 1.67 x 10^22 kg, or about 2.8% of the mass of the Earth, for the day to become 25% longer.
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It is summertime and the temperature is 100 degrees Fahrenheit. Johnny decides he is going to go swimming. He jumps in his pool and the water is still cold. He decides to take the temperature of the pool. The thermometer reads 65 degrees Fahrenheit. Explain why the pool water is a lower temperature than the air surrounding it?
Answer:
Water temperatures are slow to heat up, It takes 4 times the energy to heat up water than to heat air. Water also "feels" colder because water is a more efficent medium than air to cool our body down.
Re word it tho
Hope this helps!!
Can someone buy me
it will make my day
Answer:
how much?
Explanation:
why are we mentley unstable to time travle
Answer:
Mental time travel has been studied by psychologists, cognitive neuroscientists, philosophers and in a variety of other academic disciplines. Major areas of interest include the nature of the relationship between memory and foresight, the evolution of the ability (including whether it is uniquely human or shared with other animals), its development in young children, its underlying brain mechanisms, as well as its potential links to consciousness, the self, and free will.
Explanation:
In a double‑slit interference experiment, the wavelength is =552 nm , the slit separation is =0. 100 mm , and the screen is =49. 0 cm away from the slits. What is the linear distance Δ between the ninth order maximum and the fourth order maximum on the screen?
I got 11. 6mm but that seems to be incorrect, does anyone else know what it could be?
The linear distance Δ between the ninth order maximum and the fourth order maximum on the screen is 729.6 mm.
Use formula Δ = L * (y9 - y4).
where L is the distance between the double gashes and the screen, and y9 and y4 are the distances between the centre outside and the ninth and fourth order maxes.
To get y9 and y4, we may use the maximum position formula in a double- slit hindrance pattern
y = m * λ * L/ d
where m is the loftiest order, is the light wavelength, L is the distance between the double gashes and the screen, and d is the slit distance. With the handed values, we get
d = 0.100 mm = 0.0001 m
λ = 552 nm = 0.000552 m
L = 49.0 cm = 0.49 m
m = 9
y9 = m * λ * L / d = 9 * 0.000552 * 0.49 / 0.0001 = 2.6876 m
Δ = L * (y9 - y4) = 0.49 * (2.6876 - 1.2056) = 0.7296 m
Δ = 729.6 mm
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9.two ropes tied to a tree branch hold up a child swing as shown in figure 7 . the tension in each rope is 2.28N.what is the combined force (magnitude and direction) of the two ropes one the swing?
(please answer fast important)
The combined force of the two ropes on the swing is : 4.56 ∠ 77° above X -axis
Given data :
Tension in the ropes ( T ) = 2.28 N
Angle made by ropes = 13° vertical
Determine the combined force of the two ropesF ( combined force ) = T + T
= 2.28 + 2.28 = 4.56 N
from the question 13° vertical is approximately equal to 77° above the positive X-axis.
Therefore the combined force of the two ropes on the swing is : 4.56 ∠ 77° above the X-axis of the swing.
Hence can conclude that The combined force of the two ropes on the swing is : 4.56 ∠ 77° above X -axis
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Answer:
Explanation:
The combined force of the two ropes on the swing is : 4.56 ∠ 77° above X -axis
Given data :
Tension in the ropes ( T ) = 2.28 N
Angle made by ropes = 13° vertical
Determine the combined force of the two ropes
F ( combined force ) = T + T
= 2.28 + 2.28 = 4.56 N
from the question 13° vertical is approximately equal to 77° above the positive X-axis.
Therefore the combined force of the two ropes on the swing is : 4.56 ∠ 77° above the X-axis of the swing.
Hence can conclude that The combined force of the two ropes on the swing is : 4.56 ∠ 77° above X -axis
Simplify 45÷3+2×8-12+42
Answer:
Explanation is in the picture and the answer is 16
The image above shows a crash test dummie's head traveling at -1.005 m/s while striking a headrest from a car traveling 4.524 m/s with a mass of 2005.6 kg. If the crash test dummie's head head bounces off the headrest with a 9.965 m/s and the car continues traveling at 4.487 m/s, calculate the mass of the crash test dummie's head?
Answer:
From the calculation, the mass of the dummies head is 1647.44 Kg
What is the mass of the crash test dummies head?We know that the momentum after collision is equal to the momentum before collision.
Mass of the headrest = 2005.6 kg
Initial velocity of the head rest = 4.524 m/s
Final velocity of the head rest = 4.487 m/s
Mass of the dummy = m
Initial velocity of the dummy = -1.005 m/s
Final velocity of the dummy = 9.965 m/s
Then;
(m * -1.005) + (2005.6 * 4.524 ) = (2005.6 * 4.487) + (m * 9.965)
-1.005m + 9073.33 = 8999.13 + 9.965m
9073.33 - 8999.13 = 9.965m + 1.005m
18072.46 = 10.97m
m = 18072.46/ 10.97
m = 1647.44 Kg
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15 pointsss please help meeeeeeeeeee
The velocity of an object can be calculated as:
starting velocity + (_____________________ * delta-t)(2.5 Points)
(one option)
A. acceleration
B. displacement
C. instantaneous velocity
D. average velocity
Answer:
the answer is A. acceleration mom
Explanation:
:)
what is the correct order of the stages of translation
The correct order of the stages of translation is initiation, elongation, and termination. The process of translation is the second phase of protein biosynthesis.
It includes translating the genetic information coded in DNA into proteins. The translation is processed in ribosomes, which are responsible for assembling amino acids and linking them to form proteins.
The following are the three stages of translation:-
(1) Initiation: It is the first step in the process of translation, in which the mRNA molecule is first bound by a small subunit of the ribosome. This process requires the help of translation initiation factors that bind to the ribosome and the mRNA molecule.
(2) Elongation: In this phase, the ribosome helps to bring in the next amino acid, which is added to the growing polypeptide chain. In this phase, the mRNA is read, and amino acids are linked to create a polypeptide chain.
(3) Termination: When the ribosome reaches the end of the mRNA molecule, a stop codon is recognized, and the polypeptide chain is released. Finally, the small and large subunits of the ribosome detach, and the newly synthesized protein is released.
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Jamal says that the separation of colors can be explained by the particle model of light. Natalia says that the separation of colors is better explained by the wave model of light.
Who is correct?
A) Both are correct; color is equally well-explained by either particle or wave models of light.
B) Jamal is correct.
C)Both are incorrect.
D)Natalia is correct.
Answer:
Natalia is correct.
Explanation:
i got it right when it said natalia
Consider the net work required to stop a moving object. a) What is the net work, in joules, required to stop a crate of mass 72 kg that is moving at a speed of 1.89 m/s? b) What is the net work, in joules, required to stop a bullet of mass 6.1 g that is moving at a speed of 470 m/s?
A mass-containing crate must stop with a net effort of 24.63 joules.
When a physical influence called force is imparted to an item, the object accelerates in the direction the force was applied from. The amount of matter that makes up an object is expressed by its mass, which is expressed in kilograms. The rate at which an object's velocity along the same straight line as the unbalanced force changes is known as its acceleration.
Force and Mass
According to the question,
Mass, m = 72 kg
Speed, v = 1.89 m/s
Acceleration due to gravity, g = 9.8
We know,
The force, F = mg
By substituting the values,
= 72×1.89
= 136.08 N
By using Equation of motion,
v² = u² + 2gS
(1.89)² = 0 + 2ₓ 9.81 S
3.57 = 19.62 S
S = 3.57 / 19.62
S = 0.181 m
hence,
The work done (W) will be:
= F × S
= 136.08 ₓ 0.181
= 24.63 joule
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The further away the galaxy is, the ___________ the shift found by Hubble.A. Not enough infoB. SmallerC. Same sizeD. Greater
Given the statement:
The further away the galaxy is, the ____________ the shift found by the Hubble.
Let's complete the statement.
According the Hubble's brilliant observation, the shift of the galaxy is directly proportional to the distance of the galaxy from the Earth.
This means that as the distance of the galaxy increases, the shift also increase.
Therefore, the further away a galaxy is, the greater the shift found by the Hubble telescope.
ANSWER:
D. Greater
Newton's 2nd law of Motion
what are some objects that have a little mass but a large amount of acceleration and therefore produce a large Force upon impact with something else.
aka..
what are some objects that have less mass but a larger acceleration
to break cardboard?
A bullet and a base ball
What objects has a small mass but produce large acceleration?Objects with a small mass can produce a large acceleration if they experience a large force. This is described by 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.
It's important to note that while these objects can produce a large acceleration, they can also cause significant damage or harm if not handled properly. It's important to always take appropriate safety precautions when working with objects that have the potential to produce large forces and accelerations.
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The following statements are all true. Which one counts as an "exception to the rule" in being unusual for our solar system?
Venus does not have a moon.
Jupiter has a very small axis tilt.
The diameter of Earth's Moon is about 1/4 that of Earth.
Saturn has no solid surface.
The statement that counts as an "exception to the rule" in being unusual for our solar system is: "Saturn has no solid surface." Option D is the correct answer.
What is solar system?This refers to a group that includes one or more suns along with planets, moons, asteroids, comets, and other extraterrestrial object. Our solar system includes one sun and nine planets.
There are nine planets in the solar system. The four inner terrestrial planets are Mercury, Venus, Earth, and Mars, all of which consist mainly of rock. The four outer planets are Jupiter, Saturn, Neptune, and Uranus, giant planets that consist mainly of either gases or ice and Pluto.
While other gas giants in our solar system also lack a solid surface, such as Jupiter, Uranus, and Neptune, it is unusual for a planet to not have a solid surface. The majority of the planets and moons in our solar system have a solid surface, so Saturn's lack of one is exceptional.
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Which is a dopant for a semiconductor that conducts electricity due to the movement of positive charges?
O thallium
O arsenic
O phosphorus
O antimony
Answer:
The answer is thallium.
Explanation:
the chemical element of atomic number 81, a soft silvery-white metal that occurs naturally in small amounts in pyrite and other ores. Its compounds are very poisonous.In terms of vectors why does an object slow down? (physics question)
free brainlist but you have to get this right
100000000000000000000 times 200000000000000 times 3000000000000000 times 1 times 200000000000000000000000000000 times 5
You Can Use Caculator
Answer:
the answer is 6e+79
Answer:
yea the answer is 6e+79 i did use a couculater though
Explanation:
A _____ is a series of events and activities with no slack time. a. risk path b. foundation path c. baseline path d. critical path.
The D. critical path is a series of events and activities with no slack time.
It is a path that defines the longest duration required to complete a project. It is significant in the project management methodology as it helps the project manager establish a timeline for the project while also identifying the activities that are most critical to the project's completion. If an activity on the critical path takes longer than anticipated, the whole project will be delayed, and if an activity is completed earlier than expected, then it might not be worth it to continue the project, and the client might not be willing to pay for it.
The critical path analysis allows managers to identify and control the critical factors that can impact a project's success, enabling them to focus on the most important areas and make informed decisions about the project. So the correct answer is D. critical path, is a series of events and activities with no slack time.
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a cave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. the lift is performed in three stages, each requiring a vertical distance of 7.10 m: (a) the initially stationary spelunker is accelerated to a speed of 4.40 m/s; (b) he is then lifted at the constant speed of 4.40 m/s; (c) finally he is decelerated to zero speed. how much work is done on the 73.0 kg rescue by the force lifting him during each stage?
The work done on the spelunker by the force lifting them during each stage is,
(a) 718 J
(b) 0 J
(c) -718 J
The kinetic energy is given by, K = (1/2)mv², where m is the mass and v is the velocity. Initially, the spelunker is at rest, so their initial kinetic energy is zero. The final kinetic energy is:
K = (1/2)mv² = (1/2)(73.0 kg)(4.40 m/s)² = 718 J
Therefore, the work done on the spelunker during the acceleration stage is: W = K - 0 = 718 J
The spelunker is lifted at a constant speed, so their kinetic energy remains constant. Therefore, the work done on the spelunker during this stage is zero.
W = 0 J
Finally, the spelunker is decelerated to a stop. The initial kinetic energy is,
K = (1/2)mv² = (1/2)(73.0 kg)(4.40 m/s)² = 718 J
The final kinetic energy is zero. Therefore, the work done on the spelunker during the deceleration stage is:
W = 0 - 718 J = -718 J
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Please respond!! is it fusion or fission? I am very confused and need to learn this before my test
It's important to know that nuclear fusion consists of two nuclei with low mass numbers combining to form a single nucleus with higher mass numbers. On the other hand, nuclear fission is about the opposite phenomena because the atom splits, releasing a great amount of energy.
Hence, the given situation represents a nuclear fusion because the product it's an atom with a higher mass number.If the distance an object travels and the time it takes to travel the distance are known, which of the following can be calculated?
Answer:
speed
Explanation:
The distance traveled and time, the average speed of an object can be calculated. The correct answer would be option (A).
What is the average speed?Average speed is defined as the total distance traveled by an object divided by the total time it took to travel that distance. This is a measure of the overall pace of an object's motion over a period of time.
Instantaneous speed is the limit of the average speed as the time interval approaches zero. In other words, it's the rate of change of an object's position with respect to time at a specific moment.
Average acceleration is defined as the change in velocity (speed in a certain direction) divided by the time interval over which that change occurred. This is a measure of the rate of change of an object's speed over a period of time.
Instantaneous acceleration is the limit of the average acceleration as the time interval approaches zero. In other words, it's the rate of change of an object's velocity at a specific moment.
In summary, with the given information of distance traveled and time, the average speed of an object can be calculated, but the instantaneous speed, average acceleration, and instantaneous acceleration cannot be calculated.
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The complete question would be as:
If the distance an object travels and the time it takes to travel the distance are known, which of the following can be calculated?
A. Average speed
B. Instantaneous speed
C. Average acceleration
D. Instantaneous acceleration
A 2.80 kg mass is dropped from a height of 4.50 m . Find its potential energy (PE) at the moment it is dropped .
Answer:0
Explanation:
because it ran out when it hit the ground
Part A Determine the equivalent capacitance between points a and b for the combination of capacitors shown in (Figure 1). Express your answer in terms of the variables C1, C2, C3, and C4. O AO in O 2 ? Cab = Submit Request Answer
The equivalent capacitance between points a and b for the combination of capacitors shown in Figure 1 is equal to C1 + C2 + C3 + C4.
The equivalent capacitance between points a and b for the combination of capacitors shown in Figure 1 can be determined by evaluating the capacitances of each individual capacitor and then adding them together. The capacitance of C1 is directly connected between points a and b, so it is simply C1. The capacitance of C2 and C3 are in parallel, so the equivalent capacitance of these two is C2 + C3. Similarly, the capacitance of C4 is in parallel with C2 + C3, so the equivalent capacitance of the combination is C1 + C2 + C3 + C4. Therefore, the equivalent capacitance between points a and b for the combination of capacitors shown in Figure 1 is equal to C1 + C2 + C3 + C4.
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what is the acceleration a1 of the block when it passes through its equilibrium position? express your answer in terms of some or all of the variables a , m , and k .
The acceleration a1 of the block when it passes through its equilibrium position can be expressed as: a1 = -a (m/k) where a is the amplitude of the oscillation, m is the mass of the block, and k is the spring constant.
When the block passes through its equilibrium position, the net force acting on it is zero.
At this point, the spring force and the gravitational force cancel each other out. Therefore, the acceleration of the block is also zero at this point.
However, as the block moves away from the equilibrium position, the spring force begins to dominate over the gravitational force and causes the block to accelerate towards the equilibrium position.
The acceleration is directly proportional to the displacement from the equilibrium position and is given by a = -kx/m, where x is the displacement.
When the block reaches the maximum displacement (amplitude) a, the spring force is at its maximum and the gravitational force is negligible. At this point, the acceleration is given by a = -a (m/k).
In conclusion, the acceleration of the block when it passes through its equilibrium position is zero. However, as it moves away from the equilibrium position, the acceleration is given by a = -a (m/k). This expression shows that the acceleration is directly proportional to the amplitude of oscillation, inversely proportional to the mass of the block, and inversely proportional to the spring constant.
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GIVING BRAINLIEST FIVE STARS AND HEART!
Hello help me please! (*18* Points!) How can the potential energy of a bicycle stopped at the top of a hill be changed into kinetic energy?
Answer:
A bicycle on the top of the hill has the highest potential energy, and when the bike goes down, it transfers to kinetic because it is moving
Explanation:
yeah
A parcel of air at the surface has an air temperature of 17°C. Print out the blank stuve diagram below, and draw both dry and moist adiabats between the surface and 500mb (like I did above). 1 point What would the temperature of the parcel be at 500mb if cooled dry adiabatically? O -25°C -35°C -45°C 1 point What would the temperature of the parcel be at 500mb if cooled moist adiabatically? -15°C -25°C 0 -35°C
If an air parcel cools adiabatically at the surface with a temperature of 17 °C, the temperature drops by about 10 °C for every 1000 meters of altitude. 500mb is typically about 5500 meters from the surface, so with dry adiabatic cooling the package temperature will be about 17°C - (10°C * 5.5) = -33°C.
On the other hand, if the air parcel is moist and adiabatically cooled, the temperature change will be slower because latent heat is released when the water vapor condenses. The adiabatic temperature drop rate when wet is typically about 6°C per 1000 meters.
However, it is generally cooler than the dry adiabatic decay rate, so for wet adiabatic cooling, the -15°C, -25°C, 0, and -35°C options are possible temperatures for a 500MB package. There is a possibility. .
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Which characteristic is present in a planet but not in a dwarf planet? A spherical shape. An orbit around the sun. An orbit cleared of other objects. A potato-like shape.
Answer: An orbit cleared of other objects.
There are three basic characteristics that a planet must have. Dwarf planets have two of these characteristics: an orbit and a spherical shape. However, dwarf planet orbits are not cleared of other objects like the orbits of planets.
On a curved roadway of radius 95m, the speed limit is 12 m/s. What should the coefficient of static friction be between the tires and the road for the car to safely navigate the curve at the posted speed?
Please please help.
The coefficient of static friction between the tires and the road is 0.16.
What is the coefficient of kinetic friction?The coefficient of static friction between the tires and the road for the car to safely navigate the curve at the posted speed is calculated as follows;
Static friction = centripetal force
μmg = mv²/r
μ = ( v² ) / ( rg)
where;
μ is the coefficient of static frictiong is acceleration due to gravityr is the radius of the curved pathv is the maximum speed of car on the pathThe coefficient of static friction between the tires and the road is calculated as follows;
μ = ( 12² ) / ( 95 x 9.8)
μ = 0.16
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what force must the person exert on the lawn mower to accelerate it from rest to 1.5 m/s m / s in 2.5 seconds, assuming the same friction force?
The force the person must exert on the lawn mower to accelerate it from rest to 1.5 m/s m / s in 2.5 seconds, assuming the same friction force, is 18 N.
To calculate the force required to accelerate the lawn mower from rest to 1.5 m/s in 2.5 seconds, we can use the formula:
Force = mass x acceleration
First, we need to determine the acceleration of the lawn mower:
Acceleration = (final velocity - initial velocity) / time
Acceleration = (1.5 m/s - 0 m/s) / 2.5 s
Acceleration = 0.6 m/s²
Next, we need to determine the mass of the lawn mower. Let's assume it has a mass of 30 kg.
Now we can calculate the force required:
Force = mass x acceleration
Force = 30 kg x 0.6 m/s²
Force = 18 N
Therefore, the person exerting a force of 18 N is required to accelerate the lawn mower from rest to 1.5 m/s in 2.5 seconds, assuming the same friction force.
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work done per unit time :- a. force b. power c. energy d. momentum