The net force of the object using the free body diagram above is 12N, right (option D).
What is net force?Net force is defined as the sum of all the forces acting on an object. Net force can accelerate a mass. Some other force acts on a body either at rest or motion.
The net force is a term used in a system when there is a significant number of forces.
Fnet = F¹+ F² + F³….+ Fn
Where;
F¹, F², F³…Fn are the forces acting on a body
According to this question, a stationary object is given with forces 8N and 10N acting rightward, then force 6N acting leftward.
Fnet = (8 + 10) - 6
Fnet = 18 - 6 = 12N
Therefore, the net force is 12N to the right because it is an unbalanced force.
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the student measure the massof he wooden block and found it to be =0.20kg.name the apparatus that can used to measure the mass ofthe wooden block
The apparatus that can used to measure the mass of the wooden block by the student is called beam balance.
A beam balance, often referred to as a double-pan balance, is a straightforward tool for determining an object's weight. Two pans or trays are hung from either end of a horizontal beam that is suspended from a pivot point in the middle.
The thing to be weighed is put on one tray, and then the second tray is filled with standard weights until it balances, showing the weight of the object. From little ones used in laboratories to larger ones used in enterprises, beam balances can be found in a variety of shapes and sizes. Because they are precise and operate without electricity or batteries, they are widely used.
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In a 'keep-fit' exercise, a student of mass 45 kg steps 40 times on and off a box of height 0.50 m. How much work does the student do to raise her body each time she steps on the box
Answer:Calculate the work done using:
work done (in joules) = force (in newtons) x distance moved (in metres)
To practice calculations involving force, distance and work done.
Explanation: I hope this helps srry if I'm wrong
transfer or movement of thermal energy is called
Answer: Thermal energy transfer involves the transfer of internal energy. The three types of thermal energy transfer are conduction, convection and radiation. Conduction involves direct contact of atoms, convection involves the movement of warm particles and radiation involves the movement of electromagnetic waves.
Explanation:
Part-II Work out Step by step clearly (6%) 5. A 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Calculate the total work done by the force? (1%)
If a 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Then the total work done by the force is equal to π/2 + 1.
To calculate the total work done by the force in this scenario, we can use the formula for work:
Work = ∫F(x) dx
where F(x) is the force as a function of position and dx represents an infinitesimal displacement.
In this case, the force is given by F(x) = √(1 - x²), and we need to find the total work done as the object moves from xo = -1 to xf = 1.
Let's break down the calculation step by step:
Write the integral for work:
Work = ∫F(x) dx
Substitute the given force:
Work = ∫√(1 - x²) dx
Integrate with respect to x:
To integrate the square root of (1 - x²), we use the trigonometric substitution. Let's substitute x = sin(θ) and dx = cos(θ) dθ.
Work = ∫√(1 - sin²(θ)) cos(θ) dθ
Simplify the integrand:
Using the trigonometric identity sin²(θ) + cos²(θ) = 1, we can rewrite the integrand as cos²(θ).
Work = ∫cos²(θ) dθ
Apply the power-reducing formula:
The power-reducing formula states that cos²(θ) = (1 + cos(2θ)) / 2. We can use this formula to simplify the integrand further.
Work = ∫(1 + cos(2θ))/2 dθ
Integrate the terms separately:
Work = (1/2) ∫dθ + (1/2) ∫cos(2θ) dθ
The first integral, ∫dθ, is simply θ, and the second integral, ∫cos(2θ) dθ, can be calculated as sin(2θ)/2.
Work = (1/2) θ + (1/2) (sin(2θ)/2) + C
Evaluate the integral limits:
To find the total work done, we need to evaluate the integral at the upper and lower limits of integration.
At xf = 1, the angle θ is π/2, and at xo = -1, the angle θ is -π/2.
Work = (1/2) (π/2) + (1/2) (sin(2(π/2))/2) - [(1/2) (-π/2) + (1/2) (sin(2(-π/2))/2)]
Simplifying further:
Work = π/4 + (1/2) - (-π/4 + (1/2))
Work = π/4 + 1/2 + π/4 + 1/2
Work = π/2 + 1
Therefore, the total work done by the force is equal to π/2 + 1.
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Jill doubled the force acting on an object, yet she kept the acceleration constant or unchanged.
How did she do this?
Answer:
Mass doubles
Explanation:
Since F = ma, and given that the acceleration stayed constant, the mass must have changed. (Assuming thatt when the problem states the force doubles, they mean the net force doubles). Note, that the mass does not have to change if the acceleration is zero.
How long would it take a machine to do 5.000
joules of work if the power rating of the machine
is 100 watts?
A. 5,000 sec
B.
50 sec
C.
10 sec
D. 0.2 sec
Answer : B
Answer:
a
Explanation:
How long would it take a machine to do 5.000
joules of work if the power rating of the machine
is 100 watts?
The given machine will take 50 s to complete the work. the power is the rate of performing work.
What is power?It can be defined as the rate of performing work. It can also be written as the amount of work divided by the time it takes to complete the work.
\(p = \dfrac wt\)
So
\(t = \dfrac w p\)
Where,
\(p\) - power = 100 watt = 100 J/s
\(t\) - time = ?
\(w\)- work = 5000 J
Put the values in the formula,
\(t = \dfrac{ 5000 \rm \ J} {100 \rm \ J/s}\\\\t = 50 \rm \ s\)
Therefore, the given machine will take 50 s to complete the work.
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A car has an initial velocity of 50 m/s and a constant
acceleration of 5 m/s2. What is the car's velocity after 3
seconds?
A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C
The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).
The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.
In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²
(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:
Electric flux = Electric field strength × Area
Electric flux = 18 N C⁻¹ × 0.450 m²
Electric flux = 8.1 N m² C⁻¹
In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.
The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).
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Give the number of protons and the number of neutrons in the nucleus of each of the following isotopes Aluminum 25 :13 protons and 12 neutrons
Answer:
No of proton is 13 and nucleus is 13
You are riding on a carousel that is rotating at a constant 24 rpm. It has an inside radius of 4 ftand outside radius of 12 ft. You begin to run from the inside to the outside along a radius. Your peak velocity with respect to the carousel is 6 mph and occurs at a radius of 8 ft.What are your maximum Coriolis acceleration magnitude and its directionwith respect to the carousel
Answer:
magnitude of the Coriolis acceleration is 44.235 ft/s² and the direction of the acceleration is along the axis of transmission
Explanation:
Given the data in the question;
Speed of carousel N = 24 rpm
From the diagram below, selected path direction defines the Axis of slip.
Hence, The Coriolis is acting along the axis of transmission
Now, we determine the angular speed ω of the carousel.
ω = 2πN / 60
we substitute in the value of N
ω = (2π × 24) / 60
ω = 2.5133 rad/s
Next, we convert the given velocity from mph to ft/s
we know that; 1 mph = 1.4667 ft/s
so
\(V_{slip\) = 6 mph = ( 6 × 1.4667 ) = 8.8002 ft/s
Now, we determine the magnitude of the Coriolis acceleration
\(a_c\) = 2( \(V_{slip\) × ω )
we substitute
\(a_c\) = 2( 8.8002 ft/s × 2.5133 rad/s )
\(a_c\) = 44.235 ft/s²
Hence, magnitude of the Coriolis acceleration is 44.235 ft/s² and the direction of the acceleration is along the axis of transmission
effort distance of a lever should be increased to lift the havier load give reason
The effort distance of a lever should be increased to lift a heavier load because it provides a mechanical advantage, allowing for easier lifting of the load.
The effort distance of a lever should be increased to lift a heavier load because it allows for a mechanical advantage that compensates for the increased weight.
In a lever system, the effort distance is the distance between the point of application of the input force (effort) and the fulcrum, while the load distance is the distance between the point of application of the output force (load) and the fulcrum. The mechanical advantage of a lever is determined by the ratio of the load distance to the effort distance.
By increasing the effort distance, the mechanical advantage of the lever system is increased. This means that for the same input force (effort), a greater output force (load) can be achieved. When dealing with a heavier load, a higher mechanical advantage is required to overcome the increased resistance.
By increasing the effort distance, the lever system can effectively multiply the applied force, making it easier to lift the heavier load. This allows for the redistribution of force and facilitates the efficient use of human effort in various applications, such as in construction, engineering, and even everyday tools like scissors and pliers.
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two spheres A and B are projected off the edge of a 1.0 m high table with the same horizontal velocity . sphere A has a mass of 20.g and sphere B has a mass of 10.g.
If both spheres leave the edge of the table at the same instant, sphere A will land
a. at some time after sphere B.
b. at the same time as sphere B.
c. at some time before sphere B.
d. There is not enough information to decide.
A would land before since its heavier
Jibari walks 40.0 meters east in 120.0 seconds. He then walks 30.0 meters west in 60.0 seconds. What is his average velocity for the trip?
Answer:
0.1667 meters/second.
Explanation:
To find Jibari's average velocity for the trip, we need to first calculate his average velocity for each leg of the trip. To do this, we need to divide the distance he traveled by the time it took him to travel that distance.
For the first leg of the trip, Jibari walked 40.0 meters east in 120.0 seconds. His average velocity for this leg of the trip is therefore 40.0 meters / 120.0 seconds = 0.3333 meters/second east.
For the second leg of the trip, Jibari walked 30.0 meters west in 60.0 seconds. His average velocity for this leg of the trip is therefore 30.0 meters / 60.0 seconds = 0.5000 meters/second west.
To find Jibari's average velocity for the entire trip, we need to add the velocities for each leg of the trip, taking into account their direction. Since the first leg of the trip was east and the second leg was west, we can simply add the two velocities together to find the overall average velocity.
Jibari's overall average velocity for the trip is therefore 0.3333 meters/second east + 0.5000 meters/second west = 0.1667 meters/second.
Therefore, Jibari's average velocity for the trip was 0.1667 meters/second.
Jibari's average velocity for the trip is 0.7 m/s east.
To solve for Jibari's average velocity, we will first need to find his total displacement. We can do this by adding the magnitudes of his eastward and westward displacements. The magnitude of Jibari's eastward displacement is 40.0 meters, and the magnitude of his westward displacement is 30.0 meters. So, his total displacement is
40.0 - 30.0 = 10.0 meters east.
We can then find Jibari's average velocity by dividing his total displacement by the total time it took him to complete the trip. The total time it took Jibari to complete the trip is
120.0 + 60.0 = 180.0 seconds.
So, his average velocity is
10.0 / 180.0 = 0.7 m/s east.
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while the penumbra of a sunspot can "grow" and become bigger. What do you think this means? What is the significance of it for us on Earth
While the penumbra of a sunspot can "grow" and become bigger.The significance is that the area around the sunspot is becoming darker and larger.
Why do sunspots appear and what are they?Sunspots are cooler, darker areas on the sun's surface that stand out from the sun's brighter surroundings. They are brought on by a blockage in the flow of heat and energy from the interior of the sun caused by intense magnetic activity. Sunspots can be anywhere from a few hundred to many thousands of kilometers in diameter and are most common near the sun's poles. Depending on their size and activity, sunspots can last for days, weeks, or even months.
Sunspots are linked to increased solar activity, which can alter Earth's magnetic fields, so this is significant for us on Earth. Geomagnetic storms and additional radiation that reaches Earth's surface as a result of this could disrupt electronic systems like power grids and radio transmissions.
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what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2
The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)
Pressure (P) = Density (ρ) × g × Depth (h)
Given: Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Depth (h) = 6 m
Using the given values, one can calculate the pressure:
Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure
= 58800 kg·m⁻¹·s⁻²
Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:
Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)
Pressure = 580.124 atm
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An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?
The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people
Hor to convert 175 centimeters to metersWe'll begin by converting 175 cm to m. This can be obtained as illustrated below:
100 cm = 1 m
Therefore,
175 cm = (175 cm × 1 m) / 100 cm
175 cm = 1.75 m
Thus, 175 cm is equivalent to 1.75 m
How to determine the number of people neededThe number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:
Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?Number of people needed = Height of tower / height of a person
Number of people needed = 553 / 1.75
Number of people needed = 316 people
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The gravitational force between two objects with identical masses that are 10 m apart, is 2.67 x10-10 N. To the nearest kg, what is the mass of each object?
G= Universal Gravitational Constant = 667x10" N-m'
The mass of each object is 0.004 kg, to the nearest kg.
What is mass?
The mass is a measure of the amount of matter an object contains. It is typically measured in units of kilograms (kg) or grams (g). The mass of an object is distinct from its weight, which is the force exerted on an object by gravity and is measured in units of newtons (N) or pounds (lb).
The mass of an object will remain the same, regardless of its location in the universe, while its weight will vary depending on the strength of the gravitational force acting on it.
To find the mass of each object, we can use the formula for gravitational force: F = G * (m1 * m2) / r^2.
By substituting in the given values and solving for m1 or m2, we get:
F = G * (m1 * m2) / r^2
2.67 x 10^-10 N = (667 x 10^-11 N-m^2/kg^2) * (m1 * m2) / (10 m)^2
m1 = m2 = (2.67 x 10^-10 N * (10 m)^2) / (667 x 10^-11 N-m^2/kg^2)
m1 = m2 = 0.004 kg
The mass of each object is 0.004 kg, to the nearest kg.
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The diagram below shows snapshots of an oscillator at different times . What is the frequency of the oscillation ?
In the diagram tha shows snapshots of an oscillator at different times, the frequency of the oscillation is 0.555 Hz.
How to calculate the periodThe period of the oscillation is the time taken for the for the object to return to its original position. (ie. Displacement = 0). From the above snapshot,
Period of oscillation = 1.80s.
From here, finding the frequency is simple as, Frequency = 1/Period. Hence,
Frequency = 1/1.80
= 0.555 Hz (3 sf).
The frequency of the oscillation is indeed 0.555 Hz. The frequency represents the number of oscillations or cycles per second. In this case, the object completes approximately 0.555 oscillations per second.
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In terms of the scientific definition of work magnetic fields can do work but electric fields can not true or false
Answer: False
Explanation:
( the questions are in the paper)Help me pls?
2) john's speed is 5 m/s
3) Lauren's average speed is 3.2 m/s
4) the speed of the mouse is 0.125 m/s
5) the average speed of the rocket is 96m/s
6) the speed of the cyclist is 5 km/h
7) the average speed of the earth is 1083 mph
8) the average speed to travel Through the city is 48 km/h
9) the distance traveled by the whale is 136 m
10) the distance the girl travels is 120 m
11) the distance jin traveled is 36 m
12) the time taken for the journey is 400 s
13) the time taken by the train is 200 s
14)the time taken to cover the distance is 7s
15) the time taken for the beetle to run is 12 s
16) the time taken for the journey is 0.299 h
The above problem we are dealing with is related to average speed or we can average speed, where Average speed is calculated by dividing the whole distance that something has traveled by the entire sum of time it took it to travel that distance. Speed is how quickly something is going at a specific minute. Average speed measures the normal rate of speed over the degree of a trip
The formula referring to calculating the speed is
speed = distance travelled /time taken
From we can derive the formula for both the distance traveled and time is taken which is
time taken = distance travelled / speed
distance traveled = speed x time taken.
For problem 1 we are provided we distance of 100 m
and time is taken 20.s m , So the speed = 100m /20s = 5 m/s
The same procedure applies to problems 2- 8
Next, in problem 9 we are provided with speed =8 m/s and time = 17s
So the distance traveled = 8m/s x 17 =136 m
The same procedure applies to problems 10-11
For problem 12 , we are provided with distance =26000m and speed 65m/s. So the time is taken = 26000/65 =400 s
The same procedure applies to problems 13-16
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A region of vacuum contains both a uniform electric field with magnitude E and a uniform magnetic field with magnitude B.
Part A What is the ratio E/B if the energy density for the magnetic field equals the energy density for the electric field? Express your answer in volts per meter-tesla to three significant figures. IVO ADV A O O ?
Part B If E = 750 V/m, what is B, in teslas, if the magnetic field and electric-field energy densities are equal? Express your answer in teslas. O ALQ * R O 2 ?
Answer:
A) E / B = 2.99 10⁸ V/ mT, B) B = 2.50 10⁻⁶ T
Explanation:
A) the expressions for the energy densities are:
u_E = ½ ε₀ E²
u_B = ½ B² /μ₀
indicate that the two densities are equal
½ ε₀ E² = ½ B² /μ₀
E / B = 1 /\(\sqrt{\epsilon_o \ \mu_o }\)
we calculate
E / B = 1 / √( 8.85 10⁻¹² 4π 10⁻⁷
E / B = 1 /√( 11.1212 10⁻¹⁸)
E / B = 0.29986 10⁹9
E / B = 2.99 10⁸ V/ mT
B) for this case E = 750 V / m, ask the magnetic field
E / B = 1 /\(\sqrt{\epsilon_o \ \mu_o}\)
B = E \(\sqrt{\epsilon_o \ \mu_o}\)
we calculate
B = 750 √(8.85 10⁻¹² 4π 10⁻⁷
B = 750 3.3348 10⁻⁹
B = 2.50 10⁻⁶ T
Energy densities can be expressed as
u_E = ½ ε₀ E²
u_B = ½ B² /μ₀
When the two densities are equal we use the formula
½ ε₀ E² = ½ B² /μ₀
E / B = 1 / μ₀
E / B = 1 / √( 8.85 10⁻¹² 4π 10⁻⁷)
E / B = 1 /√( 11.1212 10⁻¹⁸)
E / B = 0.29986 10⁹
E / B = 2.99 10⁸ V/ mT
If the magnetic field and electric-field energy densities are equal and E = 750 V / m, we can deduce thatE / B = 1 / √ ξ₀ μ₀
B = E √ ξ₀ μ₀
We substitute the values into the equation
B = 750 √(8.85 10⁻¹² 4π 10⁻⁷)
B = 750 3.3348 10⁻⁹
B = 2.50 10⁻⁶ T
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Which of the following pieces of home-made equipment is appropriate for use?
O A brick, some rope and a stick that you found on the side of the road
O Some old bottles you found in the garage
O The welcome mat and your sister's jump rope
O Your neighbor's bicycle inner tubes
Answer:
your neighbors biycyle inner tubes
Explanation:
hope this helps :)
How would increasing the pressure of this reaction affect the equilibrium
Explanation:
c because there is element
Answer:
C. H2 and N2 would react to produce more NH3
Explanation:
A.P.E.X
5. How do you determine the strength of the electric field of a charge?
A. Putting a small test charge close to the electric field.
B. Using a voltmeter.
C. Using an ammeter.
D. Putting a large test charge close to the electric field.
Conclude what happens to the speed of light when it passes from a medium of low index of refraction into a medium of high index of refraction? Justify your statement using the data you have collected
The thing that happens to the speed of light when it passes from a medium of low index of refraction into a medium of high index of refraction is that it tend to speed up.
Why does it speed up?Light moves more quickly when it enters a medium with a lower refractive index, as air from water. The light deviates from the straight line. Light will move more slowly and obliquely as it penetrates a substance with a higher refractive index.
The speed of light increases with decreasing refractive index. The lesser refractive index belongs to medium A. When moving at a speed equal to the speed of light divided by the refractive index, light will move more quickly through medium A.
Hence, Light bends in the direction of the normal as it passes through an interface into a medium with a greater index of refraction. On the other hand, light bending away from an interface from higher n to lower n.
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A car accelerates uniformly from rest to a speed of 55.0 mi/h in 13.0 s. (a) Find the distance the car travels during this time. m (b) Find the constant acceleration of the car. m/s2
Answer:
(a) 159.84 m
(b) 1.89 m/s²
Explanation:
Applying,
(a)
s = (v+u)t/2.................. Equation 1
Where s = distance traveled by the car, u = initial velocity, v = final velocity, t = time.
From the question,
Given: u = 0 m/s ( from rest), v = 55 mi/h = (55/2.237) m/s = 24.59 m/s, t = 13 s
Substitute these values into equation 1
s = (24.59+0)13/2
s = 159.84 m
(b)
Also applying,
a = (v+u)/t................. Equation 2
Where a = acceleration of the car.
substituting into equation 2,
a = (24.59+0)/13
a = 1.89 m/s²
What were the quartering acts
Answer:
The quartering act of 1765 required the colonies to house British soldiers in barracks provided by the colonies.
true or false gravitational pull decreases with an increase of distance between two objects
Answer:
true! : )
(i underlined the place where the answer is the other information is just as important but if you do not want to read it you do not have to)
Explanation:
Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases. the greater the mass, the greater the gravitational pull. gravitational pull decreases with an increase in the distance between two objects. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
19. In a turtle race, a 20 kg turtle moves with a velocity of 0.1 m/s. What is the kinetic energy of the turtle?
A. 20 J
B. 0.2 J
C. 0.1 J
What evidence did Wegener NOT use to support his idea of continental drift?
A. Mountain ranges on different continents lined up when coastlines were matched up.
B. Fossils of plants and animals in climates where their survival would have been impossible. C. The thickness of layers of ice in the Antarctic.
D. Rock strata on different continents lined up when coastlines were matched up.
The evidence that Wegener did NOT use to support his idea of continental drift is "the thickness of layers of ice in the Antarctic.
option C
What is Wegener's primary evidence for continental drift?Wegener's primary evidence for continental drift included the fit of the coastlines of different continents, the distribution of fossils across different continents, and the alignment of rock strata on different continents.
So the thickness of layers of ice in the Antarctic, was not used by Wegener to support his idea of continental drift. While this evidence is important for supporting the theory of glaciation, it is not relevant to the theory of continental drift.
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