1. Conjecture: In triangle ABC and A'B'C', all corresponding segments are parallel if the scale factor is greater than or equal to 1.
How can the conjecture be proven?Let ABC and A'B'C' be two triangles with corresponding sides AB and A'B', BC and B'C', and AC and A'C'. Assume that the scale factor between the two triangles is greater than or equal to 1.
To prove that all corresponding segments are parallel, we need to show that the slopes of these segments are equal.
Consider segment AB and A'B'. Let (x₁, y₁) and (x₂, y₂) be the coordinates of points A and B, and (x₁', y₁') and (x₂', y₂') be the coordinates of points A' and B', respectively. Then, the slope of segment AB is (y₂ - y₁)/(x₂ - x₁), and the slope of segment A'B' is (y₂' - y₁')/(x₂' - x₁').
Since the scale factor is greater than or equal to 1, we have |AB| <= |A'B'|, |BC| <= |B'C'|, and |AC| <= |A'C'|.
Without loss of generality, assume that |AB| <= |A'B'|. Then, we have:
|x₂ - x₁| <= |x₂' - x₁'|, and |y₂ - y₁| <= |y₂' - y₁'|.
Thus, we can conclude that (y₂ - y₁)/(x₂ - x₁) = (y₂' - y₁')/(x₂' - x₁'), which implies that segment AB is parallel to segment A'B'.
Similarly, we can prove that segment BC is parallel to segment B'C' and segment AC is parallel to segment A'C'.
Therefore, we have shown that all corresponding segments are parallel when the scale factor is greater than or equal to 1.
3. If the scale factor is less than one, the proof would need to be modified. In this case, we would have |AB| >= |A'B'|, |BC| >= |B'C'|, and |AC| >= |A'C'|. As a result, we would need to adjust the inequality signs in the proof accordingly. Specifically, we would need to reverse the signs of the inequalities involving the absolute values of the differences between the x and y coordinates of the points in each pair of corresponding segments.
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What is the acceleration on a body that approached the earth and comes within 6
earth radii of the earth’s surface?
The acceleration on a body that approached the earth and comes within 6 earth radii of the earth’s surface is 0.2 m/s².
How can we calculate the acceleration of the body?The acceleration of the body can be calculated using the equation-
g = g0 R/(R + H)².
In the question, we have, h = 6R
g = 9.8 x R/(R + 6R)²
By putting in the values and calculating, we get,
g = 0.2 m/s².
What causes a body to accelerate when the earth attracts it?Where g' = Gravitational Acceleration at Height, R = Earth's Radius, and g = Gravitational Acceleration at Earth's Surface. As a result, at a distance of 2R from the earth's surface, the acceleration of a body caused by the earth's attraction is equal to g/9.
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very important!!!
A drilling rig performs 5.15∗105 J of work at an average power output of 3940 W. How long does it take the drill to perform this work?
540 s
916 s
244 s
131 s
Answer:131s
Explanation:
time = 5.15*10^5 J / 3940
A thin rod with length 4.5 m is sitting with one end at the origin. The rod has a non-uniform density that has a quadratic dependence. You know the density at three points. The density of the rod is 3.0 kg/m at the origin, 11.0 kg/m at the other end of the rod, and 3.0 kg/m halfway in between.
How far from the origin is the center of mass of the rod located?
The density of the rod is 3.0 kg/m at the origin,then the center of mass of the rod is located 2.15 m from the origin.
What is center of mass?The center of mass is the point in an object or system of objects where the mass of the object or system can be considered to be concentrated. In other words, it is the point in which an object or system can be balanced and behaves as if all the mass is concentrated at that point.
Evaluating :To find the center of mass of the rod, we need to integrate the product of the density and position of each infinitesimal element of the rod, divided by the total mass of the rod.
We can express the position of each element as x, where x=0 at the origin and x=4.5 m at the other end of the rod.
Let's start by finding the total mass of the rod. We can divide the rod into two parts: one from the origin to the midpoint, and the other from the midpoint to the other end. The mass of each part can be found by integrating the density over its length:
m₁ = ∫(0 to 2.25) 3x² dx = 15.19 kg
m₂ = ∫(2.25 to 4.5) (22.5x - 45.375) dx
= 95.63 kg
The total mass of the rod is then derived as follows:
m = m₁ + m₂ = 110.82 kg
We can now evaluate the location of the centre of mass. We can express the position of the center of mass as xcm, where x=0 at the origin and x=4.5 m at the other end of the rod.
We can use the formula:
xcm = (1/m) ∫(0 to 4.5) ρ(x) x dx
where (x) represents the density at position x.
We can express the density as a quadratic function of x:
ρ(x) = ax² + bx + c
Using the given values of density at the origin, midpoint, and other end, we can solve for the coefficients a, b, and c:
c = 3
a + b + c = 11/4.5
= 2.44
4a + 2b + c = 3
Solving these equations gives:
a = -1.96 kg/m³
b = 7.33 kg/m²
Now we can plug in the expression for ρ(x) and evaluate the integral:
xcm = (1/m) ∫(0 to 4.5) (-1.96x⁴ + 7.33x³ + 3x) dx
Evaluating this integral gives:
xcm = 2.15 m
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How can a hockey puck explain the transfer of kinetic energy? **Select all that apply.**
A. Kinetic energy transfers through air when materials are close.
B. Kinetic energy is lost when it transfers between materials.
C. Energy transfers from materials through touch.
D. Kinetic energy can move from one item to another.
Assume the blue is a string and the orange is a meterstick. At the 50.1 cm mark, is there a pivot? Yes or No. Explain why
Suppose a small comet was on a path to collide with Earth. Its density is 0.5 g/cm3 (500 kg/m3 ). Earth’s radius is 6378 km and Earth’s density is about 5500 kg/m3 (5.5 g/cm3 ). At what height would it disintegrate? (3) Hint: the Roche limit = 2.5 [(density of planet)/(density of moon or other object)]1/3 (radius of planet)
The comet will disintegrate at a height of 70,479,900 m.
Comet's height problemTo find the height at which the comet would disintegrate, we need to determine Earth's Roche limit with respect to the comet.
Roche limit = 2.5 [(density of planet)/(density of moon or other object)]^(1/3) (radius of planet)
Let's assume that the moon has a similar density to the comet, so we can use the Roche limit formula with the following values:
density of planet = 5500 kg/m^3
density of moon or other object = 500 kg/m^3
radius of planet = 6378 km = 6,378,000 m
Roche limit = 2.5 [(5500 kg/m^3)/(500 kg/m^3)]^(1/3) (6,378,000 m)
Roche limit = 76,857,900 m
This means that any object that comes closer to Earth than 76,857,900 m would be torn apart by tidal forces.
Therefore, the comet would disintegrate at a height of 76,857,900 m - 6,378,000 m = 70,479,900 m above Earth's surface.
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All of the following describe the region in which an electron is most likely to be found
EXCEPT
orbital
isotope
cloud
path
All of the following describe the region in which an electron is most likely to be found except an isotope. Thus, the correct option is B.
What is an isotope?Isotopes can be defined as the distinct nuclear species of the same element. They have the same atomic number and the position in the periodic table as the main atom, however they differ in number of nucleons due to different numbers of neutrons in their nucleus.
Orbital is a volume of space present within an atom where an electron is most likely to be found. The s-orbitals are spherical in shape.
Cloud is the region present near the nucleus where the probability of finding an atom is highest. Cloud are the region of negative charge.
Path can also be defined as orbital. It is the exact route in which the electrons travel in an atom.
Therefore, the correct option is B.
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rr x rr what percentage of offsping will be round?
In a genetic cross Rr x rr the percentage of offspring will be round will be 50% since this trait is associated with the recessive genotype (rr).
What is the recessive genotype in a genetic cross?The recessive genotype in a genetic cross is the proportion of offspring that will be homozygous recessive and therefore will express the recessive trait such as in this case round plants that are produced by the combination of recessive and heterozygous parents.
Therefore, with this data, we can see that recessive genotypes in a genetic cross are generated by the combination of two recessive gametes.
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Rank the following systems in order of increasing speed of the corresponding wave. Indicate ties where appropriate.
Answer:
the answer can be A because based on what I know every increasing stars from 1 to the biggers numbers
What is the mass of an object that requires 15 n to accelerate at a rate of 1. 5 m/s/s?.
Answer:
Explanation:
Force = mass*acceleration
15=mass*5
mass=3kg
A piece of clay flies off a pottery wheel and sticks to a potter walking by.
The initial momentum of the clay was 3.0 kg.
m
and the initial
m
momentum of the potter was -85 kg
kg.
FUSORE
ku
m
PREDME
S
-
What is the final momentum of the artist-clay system immediately after
the collision?
Your answer should have two significant figures.
S
The final momentum of the artist-clay system immediately after collision is -82 kgm/s.
How to calculate final momentum?Assuming that the initial momentum of the clay was 3.0 kgm/s and the initial momentum of the potter was -85 kgm/s, we can use the law of conservation of momentum to find the final momentum of the artist-clay system immediately after the collision:
Initial momentum = Final momentum
(3.0 kgm/s) + (-85 kgm/s) = Final momentum
-82 kg×m/s = Final momentum
Therefore, the final momentum of the artist-clay system immediately after the collision is -82 kgm/s.
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On a certain planet, a 4950 kg rock weighs 22,030 N. If this planet has a radius of 4200 km, what is the mass of the planet?
1.18∗10^24 kg
4.51∗10^24 kg
1.92∗10^25 kg
3.06∗10^25 kg
1.18∗10^24 kg is the mass of the planet where a 4950 kg rock weighs 22,030 N with planet having a radius of 4200 km.
Define Newton's law of gravitation.
According to Newton's law of gravitation, every particle of matter in the universe is attracted to every other particle with a force that varies directly as the product of their masses and inversely as their distance from one another.
The universal power of attraction acting on all matter is known as gravity, also known as gravitation. It has no impact on defining the internal characteristics of common matter because it is by far the weakest known force in nature.
The object weighs m = 4950 kg.
The planet's radius is 4200 km, or 4200*1000 meters.
F= 22030 N, the object's weight
That which we are aware of is G the gravitational constant 6.674x10-11.
We must ascertain: planet's mass is given by M =?
F= GMm/r2
22030 = 6.674x10-11[(4950M)/(42001000)2]
⇒ M =1.18∗10^24 kg
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Question in the photo
Answer:
Find his gravitational then divide it by your potential
A washing machine spins its tube at a rate of 1200 rps . if the tube diameter is 35cm . find velocity of the 1 m of the tube
The rotation per second of the spin of the tube is 1200 rps. The diameter of the tube is 35 cm or 0.35 m. Then, its velocity is 1308 m/s.
What is angular velocity ?Angular velocity is a physical quantity that is the rotational analogue of the linear velocity. The angular velocity of an object is the velocity of rotation that is distance covered by one rotation per second.
Given number of rotations = 1200 rotation per second
circumference of the tube = 2 π r = πd
c = 3.14 × 0.35 m = 1.09 m.
It means that, for one rotation, the tube covers a distance of 1.09 m. In one second it spins 1200 times.
Hence, the total distance travelled in one second = 1200/s × 1.09 m = 1308 m/s.
Therefore, the velocity of the 1 m tube is 1308 m/s.
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A pulley system is used to lift a 2000 N grand piano a distance of 3 meters. The mover applies 300 N of force in the process. a) Calculate the mechanical advantage of the pulley system. b) How much work does the machine do? c) If the mover pulls 27 meters of rope to lift the piano, how much work does he do? d) What is the efficiency of the pulley system?
a) 7 b) 6000 J c) 8000 J d) 75%
a) 9 b) 3000 J c) 6000 J d) 55%
a) 4 b) 3000 J c) 9000 J d) 85%
a) 14 b) 8000 J c) 6000 J d) 75%
PLEASE HELP EXPERTS
Developing camaraderie, paying attention, and taking part in training are all ways to:
A. Professionally Communication Online
B. Problem solve
C. Avoid making work mistakes
D. Important
E. Vital Functions
E. Vital Functions of a Team. Developing camaraderie is an important part of creating a team atmosphere, as it helps team members to learn to trust and rely on each other.
What is atmosphere ?Atmosphere is the layer of gases that surrounds the Earth. It is composed of roughly 78% nitrogen, 21% oxygen, and 1% other gases, such as argon, carbon dioxide and water vapor. The atmosphere protects the Earth from harmful ultraviolet radiation from the sun, shelters us from extreme temperatures, and creates the air pressure that allows us to breathe. The air we breathe is a mixture of gases, and the atmosphere also contains dust, smoke and other particles.
Paying attention during training helps to ensure that team members have all the necessary information to be able to perform their duties, while taking part in team activities and training helps to strengthen team bonds and create a sense of unity.
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2. Given the displacement vectors A = 3i-1j+4k, B = 2i+ 3j - 0k. Find the magnitudes of the vectors a) A + 1B b) 2A - B
The magnitudes of the vectors (A+1B) and (2A - B) would be 6.71 and 10.25 respectively
Vector operationa) The vector A + B can be found by adding the corresponding components of A and B:
A + B = (3i - 1j + 4k) + (2i + 3j - 0k) = 5i + 2j + 4k
The magnitude of A + B is:
|A + B| = sqrt((5)^2 + (2)^2 + (4)^2) = sqrt(45) ≈ 6.71
b) The vector 2A - B can be found by multiplying the components of A and B by the appropriate scalar values and then subtracting:
2A - B = 2(3i - 1j + 4k) - (2i + 3j - 0k) = 6i - 2j + 8k - 2i - 3j = 4i - 5j + 8k
The magnitude of 2A - B is:
|2A - B| = sqrt((4)^2 + (-5)^2 + (8)^2) = sqrt(105) ≈ 10.25
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6. As you drive your car along a country road at night, a deer jumps out of the woods and stands in
the middle of the road ahead of you. This occurs just as you are passing from a 55-mi/h zone to a 50-
mi/h zone. At the 50-mi/h speed-limit sign, you slam on the car's brakes, causing them to lock up,
and skid to a stop inches from the startled deer. As you breathe a sigh of relief, you hear the sound
of a police siren. The policeman proceeds to write you a ticket for driving 56 mi/h in 50-mi/h zone.
Because of your preparation in physics, you are able to use the 25-m-long skid marks that your car
left behind as evidence that you were not speeding. What evidence do you present? You must use
work/energy methods to solve this problem! The coefficients of friction between car tires and dry
concrete are (u=1.0, μ=0.80).
As the speed of the car was less than the posted speed limit of 50 mi/h when the brakes were applied, skid marks provide evidence that driver was not speeding at the time of incident.
What is meant by coefficient of friction?Measure of the amount of friction existing between the two surfaces is called as coefficient of friction.
Change in kinetic energy is: ΔK = 0 - 1/2mv²
W = fd
As f = μN
N = mg
fd = ΔK
μN d = 1/2mv²
μmgd = 1/2mv²
v = √(2μgd/m)
v = √(20.8025*0.45/1) ≈ 29.9 mi/h
Since the car's speed was less than the posted speed limit of 50 mi/h when the brakes were applied, the skid marks provide evidence that the driver was not speeding at the time of the incident.
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Third Law of Motion
For every action, there is an equal and opposite reaction .
I hate physics ! Hope you guys can help !
Answer: NEWTONS FIRST LAW
One's body moves to the side when a car makes a sharp turn.
Tightening of seat belts in a car when it stops quickly.
A ball rolling down a hill will continue to roll unless friction or another force stops it.
If pulled quickly, a tablecloth can be removed from underneath dishes.
NEWTONS SECOND LAW
1· Try to move an object.
2· Pushing a car and a truck.
3· Racing Cars.
4· Rocket launch.
5· Kick the ball.
6· Car crash.
7· Two people walking.
8· Object thrown from a height
Newton's Second Law of Motion says that acceleration (gaining speed) happens when a force acts on a mass (object). Riding your bicycle is a good example of this law of motion at work. Your bicycle is the mass. Your leg muscles pushing on the pedals of your bicycle is the force.
NEWTONS THIRD LAW
Examples
The recoil of a Gun. ...
Swimming. ...
Pushing the Wall. ...
Diving off a Raft. ...
Space Shuttle. ...
Throwing a Ball. ...
Walking. ...
Hammering a Nail.
More items...
Common examples of newton's third law of motion are: A horse pulls a cart, a person walks on the ground, a hammer pushes a nail, and magnets attract paper clips. In all these examples a force is exerted on one object and that force is exerted by another object.
At what angle should a circular road be banked so that a car running at 50 Km/hr be safe to go round the circular turn of 200 m radius?
Angle of 5.61° should be banked so that car running at 50 Km/hr be safe to go round the circular turn of 200 m radius.
What is Banking of Road?The process of raising outer edge of the road over its inner edge through certain angle θ is called as banking of road. Banking of road is nothing but the process of making the angle between the surface of road to horizontal surface of the road. The angle made by this two surfaces is called as angle of banking. Banking of road is done for safe turn at high speed.
Angle of banking is given by the formula,
tanθ = v²÷Rg
Where θ = angle of banking
R = Radius of circular turn
g = acceleration due to gravity
Given,
velocity of the car v = 50km/hr = 13.88 m/s
Radius of the circular orbit = 200 m
From formula,
tanθ = 13.88² ÷ (200×9.8)
tanθ = 0.09829
θ = tan⁻¹(0.09829)
θ = 5.61°
Hence angle must be backed at 5.61° to have safe turn.
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25 Point Emergency!!! Absurd answers will cause you're answer, and account, to be reported.
On a certain planet, a 4950 kg rock weighs 22,030 N. If this planet has a radius of 4200 km, what is the mass of the planet?
1.18∗10^24 kg
4.51∗10^24 kg
1.92∗10^25 kg
3.06∗10^25 kg
Answer:
F = G M1 M2 / R^2 attraction between 2 masses
M1 = F R^2 / (G M2)
M1 = 2.20E4 * (4.2E6)^2 / (6.67E-11 * 4.95E3) kg
M1 = 2.2 * 4.2^2 / (6.67 * 4.95) E24
M1 = 1.18E24 kg
How is it possible for a tree to survive if the inner part is missing?
It is not possible for a tree to survive if the inner part of the tree is missing. This is because, the inner part of the tree is vital for survival and health.
What is a tree?Trees are the plants which carry out the life processes that all plants share on the planet. It is not possible for a tree to survive without the inner part. If the entire inner part is missing, including the heartwood and sapwood, is missing. The inner part of a tree is vital to the survival as well as the health, as it is responsible for the transportation of water, nutrients, and sugars between the root and the leaves.
However, it is possible for a tree to survive if only some part of the inner part is missing. Trees have a remarkable ability to compartmentalize the damage and decay, which means that they can wall off or can isolate the injured or infected parts of the tree for the prevention of the spread of damage to the rest of the tree.
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Dave used a lever to get a tree stump out of the ground. if he pushes one side down 2 meters which lifts the stump 0.25m, what is the lever’s mechanical advantage
The lever's mechanical advantage would be 8.
Mechanical advantage calculationThe mechanical advantage of a lever is calculated as the ratio of the length of the effort arm to the length of the resistance arm.
In this case, the effort arm is the distance Dave pushes down on one side of the lever (2 meters), and the resistance arm is the distance the stump is lifted (0.25 meters). Therefore, the mechanical advantage of the lever is:
Mechanical Advantage = Effort Arm/Resistance Arm
Mechanical Advantage = 2/0.25
Mechanical Advantage = 8
So the lever's mechanical advantage is 8.
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Please help (50 points and Brainly)
The work done on the ship by the tugboat is calculated as 15,000,000 joules.
What is force?Force can be a push or a pull but always with magnitude and direction.
The work done on the ship is given by the equation as : work = force × distance × cos(Ф)
force is the constant horizontal force applied by tugboat, distance is distance moved by ship, and theta is angle between force and direction of motion of the ship. In this case, Ф is zero because the force is in same direction as the motion of ship.
Thus, we calculate the work done on the ship as: work = 5000 N × 3000 m × cos(0)
work = 15,000,000 joules
Therefore, the work done on the ship by the tugboat is 15,000,000 joules.
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PLEASE ANSWER ALL PARTS TO THE QUESTIONS.
1. Why does the GI tract have a plexus in the muscalaris and nerves in the mucosa? What physiological functions of the tract are supported by these anatomical structures? Think about your answer in the context of Hirschsprung’s disease, a congenital disorder of the colon that involves a defect in the myenteric plexus. What symptom or problem do you imagine the disease would cause?
3. How and why does vomiting too often, for example for sufferers of bulimia, damage the digestive system? Why are the stomach’s gastric secretions harmful, but the oral secretions are not?
3. Name any two of the major types of chemical substances that are broken down in chemical digestion. For each substance, name an enzyme that breaks them down and what final product is actually absorbed by the body for use or storage.
4. Explain how enzymes assist the process of absorption.
5. Name at least two concrete, positive steps you can take to avoid contracting gastroenteritis (in other words, DOs not DON’Ts).
The GI tract has a plexus in the muscalaris, submucosal plexus, and nerves in the mucosa.
What is a GI tract problem?Hirschsprung disease (HD) is a congenital condition defined by the lack of ganglion cells (GC) at the Meissner's plexus (submucosa) and Auerbach's plexus (muscularized) of the terminal rectum.
Vomiting and extensive laxative use can cause digestive system disruption, resulting in stomach bleeding and regurgitation. By vomiting frequently, the esophagus relaxes, allowing stomach contents to ascend up into the pharynx and mouth.
Pepsin, for example, is a protein-degrading enzyme. Another enzyme that breaks down lipids is stomach lipase.
Stomach enzymes are essential for breaking down the food you consume. These proteins hasten molecular processes that convert nutrients into substances that can be absorbed by your digestive system.
Handwashing with detergent reduces the chance of gastroenteritis by up to 47%. Of course, avoiding tainted meals that may contain harmful germs and parasites is essential.
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URGENT!!! BRAINLIEST WILL BE PICKED!
A firefighter is climbing a ladder for a drill. If the firefighter (including their suit and gear) has a mass of 105 kg, and they climb to a height of 24 m in a period of 68.5 seconds, how much power is the firefighter producing?
173,000 W
36.8 W
944 W
361 W
Answer:
The correct answer is: 361 W
Explanation:
Which of the following cannot used to describe a wave?
a) Frequency
b) Height
c) Speed
d) Wavelength
Answer:
speed
Explanation:
speed
If a machine is perfect, the mechanical advantage will be ....... the velocity ratio.
greater than
less than
equal to
none of these
Answer:
Equal to
Explanation:
work output is equal to the work input, so the efficiency is equal to 1 ( or 100% ) and the mechanical advantage is numerically equal to the velocity ratio. So, M.A. = V.R.
Block A (mass = 5 kg) with an initial velocity of 10 m/s right, collides with block B (mass = 10 kg) which is at rest. The final velocity of B is 6 m/s right. What is the final velocity (magnitude and direction) of A? The surface is frictionless.
The final velocity of block A is -2 m/s to the left ( in the opposite direction of its initial velocity).
What is velocity?Quantity that designates how fast and in what direction a point is moving is known as velocity.
As we know, m_A * v_Ai + m_B * v_Bi = m_A * v_Af + m_B * v_Bf
m_A and m_B are the masses of blocks A and B, v_Ai and v_Bi are their initial velocities, and v_Af and v_Bf are their final velocities.
5 kg * 10 m/s + 10 kg * 0 m/s = 5 kg * v_Af + 10 kg * 6 m/s
50 kgm/s = 5 kg * v_Af + 60 kgm/s
-10 kg*m/s = 5 kg * v_Af
So, v_Af = -2 m/s
Therefore, the final velocity of block A is -2 m/s to the left (i.e., in the opposite direction of its initial velocity).
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What is the proposed method for plate movement?
The movement of plates is explained by the theory of plate tectonics, which proposes that the Earth's lithosphere (made up of rigid plates) moves slowly over the underlying, more fluid asthenosphere due to the circulation of heat from the Earth's interior
What is Tectonics Plates?
Tectonic plates are large pieces of the Earth's lithosphere (made up of the crust and uppermost part of the mantle) that move around on the underlying asthenosphere, a more fluid layer of the mantle. The lithospheric plates are rigid and brittle, and they move in response to forces generated by the circulation of heat in the Earth's interior. The movement of the plates causes many geological features such as mountains, volcanoes, earthquakes, and oceanic trenches.
There are several major and minor tectonic plates, including the Pacific Plate, the North American Plate, the African Plate, the Eurasian Plate, and the Antarctic Plate. These plates interact with each other at their boundaries, which can be divergent (moving apart), convergent (moving towards each other), or transform (sliding past each other).
The lithospheric plates move apart at divergent boundaries, collide at convergent boundaries, and slide past each other at transform boundaries. These interactions at the boundaries cause many geological features such as volcanoes, mountain ranges, and earthquakes. The plate tectonics theory has been supported by various lines of evidence, including the study of earthquakes, magnetic anomalies, and the distribution of fossils and rocks around the world.
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