The correct answer is (B) GπPoR
To find the acceleration due to gravity g at the surface of the planet, we need to use the formula:
g = GM/R^2
where M is the mass of the planet, G is the gravitational constant, and R is the radius of the planet.
To find the mass of the planet, we can use the formula for the volume of a sphere:
V = (4/3)πR^3
and the given density function:
p(r) = Por
We can integrate p(r) over the volume of the planet to find its total mass:
M = ∫p(r) dV = ∫0^R 4πr^2 Por dr = 4πPo ∫0^R r^3 dr = πPoR^4
Now we can substitute this expression for M into the formula for g:
[tex]g = GM/R^2 = (GπPoR^4) / R^2 = GπPoR^2[/tex]
Therefore, the correct expression for the acceleration due to gravity g at the surface of the planet is (B) GπPoR.
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The percentage of body weight that is made up of fat when compared to your other tissue, bone and muscles.
The percentage of body weight that is made up of fat when compared to your other tissue, bone and muscles is called body composition.
Body composition refers to the proportion of fat, muscle, bone, and other types of tissue in the body. It is often expressed as a percentage of body weight that is made up of fat. Body composition can be measured using various methods such as skinfold thickness measurements, bioelectrical impedance, and dual-energy x-ray absorptiometry (DXA).
A healthy body composition is generally considered to be one with a low percentage of body fat and a high percentage of muscle mass. It is important to note that body composition is not the same as body weight, as two individuals can weigh the same but have very different body compositions. An imbalance in body composition can lead to health issues such as obesity and increased risk of chronic diseases. Regular exercise and a healthy diet can help to maintain a healthy body composition.
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Bill bye the science guy motion worksheet
how does conductance change with charge density?
Smaller ions have greater conductivity than larger ions.
How does conductance change with charge density?The molar conductivity is the conductivity per mole: as the concentration grows, so does the number of charge carriers, and hence the conductivity. The molar conductivity would be constant if the quantity of ions scaled perfectly with the concentration of electrolyte.
However, the conductivity per ion decreases because ions do not act as totally independent charge carriers: they combine, and the rate at which they combine increases as the number of ions increases. This behavior leads to Kohlrausch’s Law (the law you mentioned at the beginning of your query), which is only applicable for strong (completely dissociated) electrolytes.
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Arocket mass 1500kg if the engines provide a force 2000N, what would its accelerations..
Please
Answer:
Force=mass × acceleration
or, acceleration=Force/mass
=2000/1500
:. Acceleration=1.33 m/s²
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Why do iron filings arrange around a U-shaped magnet?
Iron filings arrange around a U-shaped magnet because of the magnetic field generated by the magnet. The magnetic field creates invisible lines of force that extend out from the north pole of the magnet to the south pole. The iron filings align themselves along these lines of force, which form a pattern that is often described as "field lines." The U-shaped magnet has two poles, north and south, and the field lines extend from the north pole to the south pole, passing through the center of the U-shape. The filings align along these lines of force, forming a pattern that is often described as "field lines". As the filings come in contact with the magnetic field, they align in a pattern that is determined by the strength and direction of the magnetic field.
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The amplitude of pule A i 20cm and that of pule B i 10 Cm what i the maximum of the reultant pule
Maximum resultant pulse will be 22.36 cm, if the amplitude of pulse A is 20 cm, and that of pulse B is 10 cm.
Equations of two superimposing waves with a phase difference of π/2, are:
y₁ = a₁sin(ωt) and y₂ = a₂sin(ωt + π/2) = a₂cos(ωt)
The equation of the resultant wave will be:
y = y₁ + y₂
y = a₁sin(ωt) + a₂cos(ωt)
Assuming a₁ = acos(Φ), a₂ = asin(Φ)
So, y = asin(ωt+Φ)
(a₁)² + (a₂)² = a²(sin²Φ + cos²Φ)
(a₁)² + (a₂)² = a²
a = √((a₁)² + (a₂)²)
a = √(20²+10²)
a = √500
a = 22.36 cm.
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Convert 800 km per hour to m/s.
Answer:
222.222m/s
Explanation:
Convert 800 km per hour to m/s
[tex] \frac{800km}{hr \\ } = \frac{800 \times 1000m}{60 \times 60sec} [/tex]
[tex] \frac{8 \\ 00000m}{3600s} [/tex]
[tex] = 222.22222 m {s}^{ - 1} [/tex]
i hope this helps
A car accelerates uniformly from rest and
reaches a speed of 17.9 m/s in 9.6 s. The
diameter of a tire is 38 cm.
Find the number of revolutions the tire
makes during this motion, assuming no slip-
ping.
Answer in units of rev.
Answer:
Below
Explanation:
Find distance vehicle travels during this acceleration
d = vo t + 1/2 a t^2
a = change in velocity / change in time = 17.9/9.6 = 1.86458 m/s^2
vo = 0 ( it starts from rest )
then d = 1/2 ( 1.86458)* 9.6^2 = 85.92 meters
Now divide by the tire circumference to get the number of revs
85.92 m / ( .38 m * pi )/rev = ~ 71.97 revs
Answer: 64.5 rev. ✅
Explanation: The diameter of the tire is 38cm and the car accelerates uniformly from rest to reach a speed of 17.9m/s in 9.6s. The distance covered by the tire can be calculated by using the formula: distance = speed x time.
The distance covered by the tire is 17.9 x 9.6 = 171.84 meters. But when we convert it centimeters it is 17184 cm
The distance covered by the tire is equal to the circumference of the tire, which is equal to 2πd (d is the diameter of the tire). So we can calculate the number of revolutions by dividing the distance covered by the tire by the circumference of the tire.
Number of revolutions = distance covered / Circumference of the tire = 17184/ (2 x π x (38/100)) = 64.5 ✅
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What is the M.A. (Mechanical Advantage) of a screwdriver with a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm? Remember that there are 1000.0 mm in 1.0000 m, and while solving the problem show your work of course.
The mechanical advantage of the screwdriver is 0.208.
How to calculate mechanical advantage?Mechanical advantage is the ratio of the output force produced by a machine (especially a simple machine) to the applied input force.
The efficiency of a simple machine is determined by calculating their mechanical advantage (MA). Mechanical advantage is a measure of the force amplification attained by the machine.
According to this question, the screwdriver has a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm. The mechanical advantage can be calculated as follows:
M.A = 50/240
M.A = 0.208
Therefore, 0.208 is the mechanical advantage of the simple machine.
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IM SO CONFUSED
A billiards player hits the 0.17 kg cue ball so that it travels towards the stationary 0.16 kg 8-ball with a speed of 0.48 m/s. If the cue ball stops after the collision, what is the resulting speed of the 8-ball? What is the change in momentum of the cue ball? What is the change in momentum of the 8-ball?
In accordance with the conservation of momentum law the 8-ball's final speed after a collision is 0.51 m/s.
The momentum, what is it?momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both direction and magnitude.
Given data :
Mass of cue ball(m1) = 0.17 kg
Mass of 8-ball(m2) = 0.16 kg
Initial speed of cue ball (u1) = 0.48 m/s
Initial speed of 8-ball (u2) = 0 m/s
Final speed of cue ball (v1) = 0 m/s
Final speed of 8-ball (v2) = v2 m/s
The total momentum before and after a collision is equal, according to the conservation law of momentum.
Hence,
m1u1 + m2u2 = m1v1 + m2v2
0.17 × 0.48 + 0.16 × 0 = 0.17 × 0 + 0.16 × v2
0.0816 + 0 = 0 + 0.16v2
0.0816 / 0.16 = v2
0.51 m/s = v2
v2 = 0.51 m/s
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A child and sled with a combined mass of 46.0 kg slide down a frictionless hill that is 10.4 m high at an angle of 26 ◦ from horizontal. The acceleration of gravity is 9.81 m/s^2. If the sled starts from rest, what is its speed at the bottom of the hill? Answer in units of m/s.
The speed of the child is 14.28 m/s at the bottom of the hill.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.
Initial potential energy = final kinetic energy
mass × acceleration of gravity × height = 1/2 × mass × speed²
Speed = √( 2 × 9.81 m/s² ×10.4 m)
Speed = 14.28 m/s
So, the speed of the child is 14.28 m/s at the bottom of the hill.
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A 15. 0-kilogram mass is moving at 7. 50 meters per second on a horizontal, frictionless surface. What is the total work that must be done on the mass to increase its speed to 11. 5 meters per second?.
The total work required to increase the speed of the mass to 11.5 meters per second is 67.5 Joules.
What is speed?Speed is the rate of motion, velocity, or the rate of change of position in a given period of time. It is a measure of how quickly an object or person moves from one place to another. Speed is usually measured in units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). Speed is an important factor in many sports, such as running, cycling, swimming, and racing. It also plays a role in everyday activities such as driving, walking, and getting around. Speed is a key factor in safety, as it can help people stay ahead of potential risks and hazards.
The total work that must be done on the mass is given by the equation W = F x d,
Where W is the work done,
F is the net force applied,
and d is the displacement.
In this case, the displacement is the change in velocity, or 4.5 meters per second.
The force needed to accelerate the mass to 11.5 meters per second is given by the equation F = m x a,
where m is the mass (15 kilograms) and a is the acceleration (4.5 meters per second2).
Therefore, the total work required to increase the speed of the mass to 11.5 meters per second is W = 15 x 4.5 = 67.5 Joules.
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A fifty-car train going 25 meters per second took 150 seconds to stop. What is the acceleration/deceleration?
Deceleration of 1/6 m/s2
Initial Velocity(u) = 25m/s
Final velocity(v) = 0 m/s
Time taken in reaching velocity 0 (t) = 150 s
so as we know from the equation of 2 dimension motions that
v = u + at ....................... (Formula Used)So
0 = 25 + a*150-25 = 150aa= -25/150 ---> -1/6 m/s2As we know that the acceleration is negative so we can conclude that it is a deceleration of 1/6 meter per second square. In the given Question, the information of Fifty - car train has no use in solving acceleration or deceleration.
Acceleration is always Positive as it Increases the speed of the body but Deceleration is negative as it for reducing the speed.
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VT 102.00 V, T = ?,
V₁?, 1₁=?, R₁= ?
V₂= 48.00 V, 12= ?, R₂= ?
V3= 40.00 V, 13?, R3- 19.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the current (I3) which is flowing through resistor three?
Your Answer:
RT
R₁ = ?
The current (I3) flowing through resistor three is not provided with the given information. To find the current, we would need the value of the total resistance (RT) which is not provided. Additionally, we would also need the value of R₁ and R₂ to calculate the total resistance.
What is resistor?A resistor is a passive electrical component that resists the flow of electrical current, reducing the current flowing through a circuit. They are often used to limit the current in a circuit, distribute power, or to adjust the voltage level in a circuit. They can be made of various materials such as carbon, metal film, and metal oxide, and are characterized by their resistance value measured in ohms (Ω).
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calculate the movement of a 2000-kg truck travelling 19m/s
Answer:
The movement of a 2000-kg truck travelling at 19 m/s is 38,000 kgm/s.
What is globalization
Answer: the process by which businesses or other organizations develop international influence or start operating on an international scale.
Explanation:
Answer:
Globalization is the free movement of goods, services and people across the world in a seamless and integrated manner. Globalization can be thought of to be the result of the opening up of the global economy and the concomitant increase in trade between nations.
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A roller coaster car has a mass of 400 kg, and is traveling through a vertical loop of radius 45 m. What is the minimum speed to just maintain contact with the track at the inside of the top of the loop?
Where, a is the acceleration of the car at the top of the loop. Thus, the minimum speed required to safely make it through the loop is about 12.12m/s 12.12 m / s .
What 3 main forces act on a roller coaster?A roller coaster is a device that propels a train of vehicles over a twisting track using gravity and inertia. As the coaster rolls up, down, and around the track, the body experiences distinct sensations as a result of gravity, inertia, g-forces, and centripetal acceleration. According to this, an object at rest or in motion maintains its current condition until the application of imbalanced forces. Law of Inertia governs the majority of roller coasters. All roller coasters require a push or a pull to start since an item at rest remains at rest. Force times mass equals acceleration, according to Newton's Second Law (f x m = a). In essence, this means that the stronger the force.To learn more about roller coaster refer to:
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An illustration of a mass on a vertical spring with a transverse wave showing the position of the mass on the spring will make a transverse wave shape if bouncing up and down and moving horizontally. The shortest spring has the mass at the top of each crest and are labeled a and e respectively. The position where the mass in in the trough of the transverse wave would be labeled c and stretches the spring the farthest. The middle length springs has masses where the equilibrium of the material of the medium containing the transverse wave would be at the equilibrium of the material would be and are labeled b and d. At which point(s) is the net force the greatest? at which point(s) is the net force zero?.
The statement describing point D is "The net force is zero, so the acceleration is zero."
Simple Harmonic Motion is the alternating motion of an object through its equilibrium point. In simple harmonic motion, the object accelerates in a direction toward the equilibrium point. Acceleration that occurs in simple harmonic motion is caused by a rebound force.
The speed of the object at the equilibrium point is maximum. Examples of simple harmonic motion are the alternating motion of a pendulum and the alternating motion of a mass-spring system.
The acceleration of an object will be proportional to the amount of force (force results) acting on the object and inversely proportional to its mass.
At point D we are in a situation where the spring passes its equilibrium position, so x=0, therefore the net force is zero and the acceleration is zero.
The question is multiple choice:
A.The velocity has the maximum upward value because the acceleration upward is at a maximum.B.The net force is at a maximum in the downward direction, so the velocity begins to decrease.C.The velocity is zero because the net force is zero.D. The net force is zero, so the acceleration is zero.Learn more about Simple Harmonic Motion at https://brainly.com/question/20885248.
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Helium is in group 18 of the periodic table. How is helium different from the other elements in this group?.
Helium is the only element in group 18 that is a noble gas. It does not react with other elements and does not form compounds.
What is noble gas?Noble gases are a group of elements found in the periodic table that are known for their inertness, or resistance to chemical reactions. They are the most stable elements in their respective rows. The noble gases are helium, neon, argon, krypton, xenon, and radon. They have all been discovered in nature, though some only in trace amounts. Noble gases have unique atomic structures, with their outermost electron shells completely filled with electrons.
Helium also has the lowest boiling point and melting point of the elements in group 18. In comparison to the other elements in group 18, helium is the lightest and least dense.
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A 5.6kg ball has rolled down a hill. At the bottom of the hill, the ball is moving 2.4 m/s.
(1) What is the kinetic energy of the ball?
(2) How high was the hill?
A 5.6kg ball has rolled down a hill. At the bottom of the hill, the ball is moving 2.4 m/s. The kinetic energy of the ball is 16.128 Joules.
What is kinetic energy?The energy that an object possess as a result of motion is termed as kinetic energy.KE is determined as the effort needed to move a mass-determined body from rest to the indicated velocity for it motion. The body holds onto the kinetic energy it acquired while its acceleration until its speed changes.
Solution:
Given:
Mass of the ball = 5.6kg
g=9.8m/s
velocity=2.4 m/s
Kinetic energy =(1/2)mv^2,
Kinetic energy=(1/2)5.6*2.4^2
Kinetic energy=16.128 Joules
For the height of the hill :mgh=1/2 mv^2
h=1/2 mv^2/mg
h= 16.128 /5.6*9.8
h=28.224m
Hence, the hill was 28.224m high.
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in an electric generator a turning loop of wire placed between two permanent magnets causes electromagnetic induction in the wire. which sentence best explains the effect of the turning loop of wire in an electric generator.
The magnetic field between the magnets causes the charged particles within the wire to move.
Option D is correct
What is a magnetic field?A magnetic field is described as a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.
Faraday's law of electromagnetic induction sates that whenever their is a relative motion of a conductor is magnetic field, an emf will be induced in the conductor and the strength of the induced emf is directly proportional to the rate of change of magnetic flux linking the circuit.
Therefore, motion of the electrons is due to magnetic field created by the permanent magnet of the electric generator.
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Complete question:
In an electric generator a turning loop of wire placed between two permanent magnets causes electromagnetic induction in the wire. which sentence best explains the effect of the turning loop of wire in an electric generator.
A. The magnets cause charged particles within the wire to move as the poles of the magnets switch.
B. The moving electrons flow from the permanent magnets into the loop of wire.
C. The magnetic field of each magnet attracts the metal in the moving loop of wire.
D. The magnetic field between the magnets causes the charged particles within the wire to move.
Two airplanes are flying in the sky in such a way that gravitational attractions between them decreases. The planes must be flying away from each other.
According to the given statement The planes must be flying away from each other.
Why is gravitational attraction?It is a characteristic of things, of substance. All matter is drawn to all other matter, to put it simply. The stronger the attraction between things, the more substance there is, and also the closer together the items are. Gravity constantly draws objects together, unlike power and magnetism, which may either attract or repel.
Is the gravitational attraction a theory?Regarding the law of attraction, the concept of universal gravitation is a theory, not an established reality. It is important to approach this information with only an open mind and to thoroughly read through and think about it. In spite of the fact that it is not even a good hypothesis, the General Theory of Gravity is frequently taught in schools as truth.
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The complete question is -
Two airplanes are flying in the sky in such a way that the gravitational attractions between them decreases ?
A Physical Education (gym) class is playing a game of soccer. During the game, the ball experiences a net force of 0 newtons. Which statement explains what is most likely happening with the ball?
When the ball experiences a net force of 0 newtons, its state of motion remains unchanged, that is, it will remain in rest or will move with same speed in same direction.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
As the ball experiences a net force of 0 newtons, it experiences balanced force and its state of motion remains unchanged.
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Discribe the phrase "like dissolves like" in terms of polarity.
The phrase "like dissolves like" can be described as the compounds which have similar nature dissolve in each other that is polar dissolves polar and non-polar dissolves non-polar molecules.
What is Polarity?Polarity is the separation of electric charge which is leading to a molecule or the chemical groups which are having an electric dipole moment, with a negatively charged end and a positively charged end as well. Polar molecules are the molecules which must contain one or more polar bonds which occur due to a difference in the electronegativities between the bonded atoms of the molecule.
A simple way to predict the compounds which will dissolve in other compounds is the phrase of the compound such as "like dissolves like". This means that the polar compounds dissolve in polar compounds, and the nonpolar compounds dissolve in nonpolar compounds, however, the polar and nonpolar molecules do not dissolve in each other.
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What would probably happen if you tried to bake bread without using yeast?Why?
The thing that will probably happen if you tried to bake bread without using yeast is that dough may not rise as tall as you're used to because of the lackof the yeast composition in the dough.
What occurs if yeast is absent?Lemon juice and baking soda mixed in equal parts can be used as a substitute for yeast. So, if a recipe calls for 1 teaspoon of yeast, you can use 1/2 teaspoon each of baking soda and lemon juice. Remember that the dough will start rising immediately, and the bread won't need to prove for the usual amount of time.
You could find that your dough doesn't rise as much as usual and that the flavor and texture are different. However, these alternatives are definitely worth investigating if you run out of yeast, don't have time to wait for bread to rise, or are attempting to eliminate yeast from your diet for health reasons.
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A rocket blasts away from the earth with a cargo for the international space station. Sketch the graph of the force of gravity the rocket experiences from the earth as a function of time.
A concave mirror has a focal length of 18 cm. This mirror forms an image located 54 cm in front of the mirror. What is the magnification of the mirror? (Include the sign.)
magnification m = -v/u = -2
Concave mirrors can generate both real and virtual images. A virtual, magnified image of the object is produced when the concave mirror is positioned very near to it.
As the distance between the object and the mirror increases, the size of the image decreases and real images are produced. When an object's distance is less than the focal length in a concave mirror, the magnification will be higher than one. When the object's distance exceeds the focal length, the magnification is less than one.
Given focal length f = 18 cm
image distance v = 54 cm
then from lens equation
(1/f) = (1/u)+(1/v)
(1/18) = (1/u)+(1/54)
-(1/u) = (1/54)-(1/18)
object distance u = (18*54)/(18-54) = 27 cm
magnification m = -v/u = (-54)/(27) = -2
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A fire hose sends 1 000 kg of water per minute against a
burning building. The water strikes the building at
20.0 m/s and does not bounce back. (a) What is the rate
of change of momentum of the water? (b) What force
does the building exert on the water? (c) What force does
the water exert on the building?
(a) The rate of change of momentum of the water is 333.33 kgm/s².
(b) The force exerted by the building against the water is -333.33 N.
(c) The force exerted by water against the building is 333.33 N.
What is the change in momentum of the water?The rate of change of momentum of the water is calculated by applying the following equation as shown below.
ΔP/t = mv / t = (m/t)v
where;
m/t is water rate = 1000 kg / minv is the velocity of the water = 20 m/sΔP/t = ( 1000 kg x 20 m/s ) / ( 1 min x 60 s )
ΔP/t = 333.33 kgm/s²
Based on Newton's third law of motion, action force and reaction force are equal and opposite. If the water exerts a certain force against the building, the building will exert equal and opposite force against the water.
The force exerted by water against the building, F = ma = (mv) / t
F = (mv) / t = 333.33 N
The force exerted by the building against the water;
F = - 333.33 N
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Imagine that you are a skeptic of Alfred Wegener. Write a one-paragraph statement to criticize his work. Your criticism must include challenges about:
Why could the continents NOT possibly move the way Wegener is describing?
How the fossils could naturally be located in the places Wegener found them, without the continents moving.
Why Wegener is not qualified to be proposing theories in the fields of geology and Earth history.
Inability of Wegener to provide adequate explanation of the forces responsible for continental drift and prevailing belief that the earth was solid and immovable resulted in scientific dismissal of his theories.
Why could the continents not move the way Wegener is describing?The primary reason that Wegener's hypothesis could not be accepted was because he suggested no mechanism for the moving of continents. He thought that the force of Earth's spin was sufficient enough to cause continents to move, but geologists knew that rocks are too strong for this to be true.
Wegener is not qualified to propose theories in the fields of geology and history of Earth because there was no mechanism available to endorse his proposals and offer convincing and truthful explanation.
The fossils could naturally be located in the places Wegener found them because fossils are mostly found where sedimentary rocks of the right age are exposed, such as river valleys, cliffs and hillsides.
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sound wave is emitted underwater by a device. This device measures the reflection time. This description best illustrates
echolocation technology
sonar technology
refraction technology
reflection technology