a. The force should be applied 5 m from the fulcrum
b. The issue is that deformation of the rod will occur.
In order to avoid this deformation, with the help of friends, the distance from the can be reduced and more force applied.
What is the principle of moments?The principle of moments states that for a system in equilibrium, the sum of the clockwise moments about a point of rotation is equal to the sum of the anticlockwise moments about that point.
Mathematically;
clockwise moments = anticlockwise momentsThe moment of a force is the product of the force and the perpendicular distance from its point of action.
Moment = force * perpendicular distanceFrom the data provided:
Let the woolly mammoth move in a clockwise direction and the applied force in an anticlockwise direction.
Let d be the perpendicular distance of the applied force from the fulcrum
5000 * 2 m = 2000 * d
d = 5 m
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If the average distance from Venus to the Sun is given to be 0.7AU, what is its period?
If the average distance from Venus to the Sun is given to be 0.7AU, its time period is 208.49 days.
Kepler's laws of planetary motion :
According to this law, the semi-major axes of the planets' orbits are directly proportional to the squares of the planets' orbital periods.
radius of the venus = 0.7AU
radius of the earth = 1 AU
orbital period of the earth = 365 days
According to the Kepler's 3rd law of planetary motion :
T² ∝ R³
T² = k R³
k = T²/ R³
[tex]k = \frac{T^2_v}{R^3_v} = \frac{T^2_e}{R^3_e}[/tex]
T² /(0.7)³ = (365)² /(1)³
T = [tex](0.7/1)^{\frac{3}{2}}[/tex] X 365
T = 208.49 days
If the average distance from Venus to the Sun is given to be 0.7AU, its time period is 208.49 days.
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The total quantity of an economy's final goods and services demanded at different inflation rates is
A) the aggregate supply curve.
B) the aggregate demand curve.
C) the Phillips curve.
D) the aggregate expenditure function.
The total quantity of an economy's final goods and services demanded at different inflation rates is the aggregate demand curve.
What is the aggregate demand curve?
The total amount spent in an economy on domestic goods and services is known as aggregate demand, or AD. AD is technically what economists refer to as total planned expenditure. Consider aggregate demand to be total spending for the time being; we'll go into more detail about it in later articles.
All four elements of demand are included in aggregate demand:
ConsumptionInvestmentFederal spendingNet exports are imports less exports.The price level is one of several variables that affect this desire. The entire amount spent on domestic products and services at each price level is displayed on an aggregate demand curve.
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If we wanted to use some brain-mapping techniques to identify anatomical functioning, but did not want to use any type of dye or tracer, which method below would be the best choice?
A. MRI
B. EEG
C. PET
D. SPECT
In PET scans, the breakdown of ___________ materials in the body and the release of gamma rays produce a functional view of the brain.
A. organic
B. radioactive
C. toxic
D. metallic
Since you wanted to use some brain-mapping techniques to identify anatomical functioning, the method that would be the best choice is option A. MRI.
In PET scans, the breakdown of option B: radioactive materials in the body and the release of gamma rays produce a functional view of the brain.
What substance is employed in a PET scan?FDG, which stands for "fluorodeoxyglucose," is a simple sugar (like glucose) that is frequently employed in PET scanning. It is injected into the bloodstream and builds up inside the body, where it emits gamma rays as energy.
Note that without injecting any kind of dye or tracer, brain mapping techniques like magnetoencephalography (MEG) and functional magnetic resonance imaging (fMRI) scans can be used to detect the anatomical functioning of the brain. The diagnosis and treatment of neurodegenerative illnesses can both benefit greatly from these techniques.
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Calculate the speed at the edge of a disc of radius 8.5 cm that rotates at the rate of 2.5 rev/s.
Answer in units of m/s.
The speed at the edge of a disc of radius 8.5 cm that rotates at the rate of 2.5 rev/s will be 21.25 m/s
Angular velocity is the rate of change of angular displacement
Mathematically it can also be calculated as linear speed divided by radius
linear speed = omega * radius
= 2.5 * 8.5
= 21.25 m/s
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Question 2:
mark each, 3 marks total)
A box is at rest,the reading on the scale is 250 newtons. Assum that the
acceleration due to gravity remains constant over the entire distance the
elevator can move.
A) When the elevator is moving upward at constant speed, what is the reading on the
scale?
B) When the elevator is accelerating downward at 5 meters per second squared,
what is the reading on the scale?
C) If the elevator cables broke and the elevator fell freely, what would be the reading on
the scale?
A) The reading on the scale is 250 N.
B) The reading on the scale is 122.45 N.
C) The reading on the scale is 0 N.
Given parameters:
Weight of the box is : W = 250 N.
As the acceleration due to gravity is 9.8 m/s², the mass of the box be: m = W/g = 250/9.8 kg = 25.51 kg
A) When the elevator is moving upward at constant speed, there has no acceleration. the reading on the scale remains same and it be 250 N.
B) When the elevator is accelerating downward at 5 meters per second squared, the apparent weight of the box be, W₁ = W -ma = 250 -25.51×5 N = 122.45 N. So, the reading on the scale is 122.45 N.
C) If the elevator cables broke and the elevator fell freely, the elevator is accelerating downward at the same magnitude of acceleration due to gravity, so the apparent weight of the box be, W₁ = W -mg = 0. So, the reading on the scale is 0 N.
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Speculate on the different social dynamics behind lower - class drug use and middle -class drug use. For example , are there likely to be differences in motivation for use ? In the way individuals are introduced to drugs ? In the consequences for drug use ?
Social dynamics behind lower -class drug use is homelessness, criminal behaviors, association with gangs and unemployment whereas social dynamics behind middle -class drug use is peer relationships, extramarital relations and distortion of interpersonal family relationships.
What are the social dynamics behind drug use?Social factors that increase the risk for adolescent drug use can include popularity, bullying, peer relationships, and association with gangs.
Other possible factors can be social and familial influences. This can result in financial hardships due to job loss. It may also lead to certain behavior that can put family at risk and can also cause domestic violence within relationships.
Other social problems linked with SUDs can be housing instability, homelessness and unemployment.
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5. What energy transformations occur when a person turns on a lightbulb by
connecting its circuit to a battery? List and describe transformations involving three
types of energy. (3 points)
When a person turns on a lightbulb by connecting its circuit to a battery then chemical energy is converted to electrical energy which is in turn converted to heat energy.
How is energy transformed when lightbulb is connected to battery?Initially chemical energy is stored in the battery. When the circuit is completed with a lightbulb then the chemical energy gets converted into electrical energy. And then electrical energy changes in the light bulb into heat energy.
When the terminals of the battery are connected through the light bulb, a pathway is created for the flow of charge. Negatively charged electrons flow from the - to the + terminal through the bulb. This charge flow converts chemical potential energy into electrical energy.
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A 7.9 kg block initially at rest is pulled to the
right along a horizontal, frictionless surface
by a constant, horizontal force of 12.4 N.
Find the speed of the block after it has
moved 3.7 m.
Answer in units of m/s.
Answer:
[tex]v=3.4081\frac{m}{s}[/tex]
Explanation:
[tex]F=ma\\F=12.4N\\m=7.9kg\\a=\frac{12.4N}{7.9kg}\\a=1.5696\frac{m}{s^2}[/tex]
[tex]v^2=v_0^2+2a\Delta x\\v_0=0\frac{m}{s}\\a=1.5696\frac{m}{s^2}\\\Delta x=3.7m\\v^2=(0\frac{m}{s})^2+2(1.5696\frac{m}{s^2})(3.7m)\\v^2=11.6152\frac{m^2}{s^2}\\v=\sqrt(11.6152\frac{m^2}{s^2})\\v=3.4081\frac{m}{s}[/tex]
A ball at the end of a string of length 2m rotates at a constant speed in a horizontal circle. It makes 7 rev/s.
What is the period of the ball’s motion? Answer in units of s.
second part
What is the frequency of the motion? Answer in units of Hz.
third part
What is the ball’s angular velocity? Answer in units of rad/s.
The time period of the ball’s motion will be 0.14 seconds
The frequency of the motion will be 7 Hz
The ball’s angular velocity will be 43.96 rad/second
given
a) frequency = 7 rev / s = 7 Hz
time period = 1 / frequency
= 1 / 7 = 0.14 seconds
The period of the ball’s motion will be 0.14 seconds
b) The frequency will be 7 Hz
c) The ball’s angular velocity = 2 * π * f
= 2 * 3.14 * 7 = 43.96 rad/second
The ball’s angular velocity will be 43.96 rad/second
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when accessing each character in a string, such as for copying purposes, you would typically use a while loop. True / False
The object assigned is used to copy all the data, and when accessing each character in a string, such as for copying purposes, you would typically use a while loop is a false statement.
What is a while loop?Until the provided condition (there is only one) evaluates to false, a while loop iterates indefinitely. Your loop will then end, and the execution process will continue. While a conditional expression is evaluated as true, its statements are carried out.
The copy variable is a pointer to the same item and points to it. Basically, this object with the values a: 1, b: 2, is saying that there are now two methods to contact me. You must go through either the obj variables or the replica variable to reach me, and whatever you do to me through these routes (gateways) will have an impact on me.
Therefore, the object assigned is used to copy all the data, and when accessing each character in a string, such as for copying purposes, you would typically use a while loop is a false statement.
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Buoyancy is a downward force exerted by a fluid on a body placed in the fluid.
OA. True
OB. False
An athlete at the gym holds a 4. 0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4. 0 kg.
τ=Fd
In this instance, it will
τ=Fballdball+Farmdcenter of mass
τ = 4*9.81*.7 + 4*9.81*.35 = 41.2
and both of our forces have a magnitude of 4g*cos(55), but they are located in different places.
τ = 4g*cos(55)*(.35+.7) = 23.6
The term "magnitude" refers to an object's greatest size and direction. Scalar and vector quantities both use magnitude as a common factor.
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joey is riding in an elevator which is accelerating upwards at 2.0 m/s2. The elevator weighs 300.0 kg, and Joey weighs 60.0 kg. What is the tension in the cable that pulls the elevator upwards?
A) 4200 N
B) 9800 N
C) 3700 N
D) 5200 N
The tension in the cable that pulls the elevator upwards with an acceleration of 2.0 m/s² is 4200 N. The right option is A) 4200 N.
What is tension?Tension is defined as the force transmitted through a rope, string or wire when pulled by forces acting from opposite sides.
To calculate the tension in the cable, we use the formula below.
Formula:
T = mg+ma............ Equation 1Where:
T = Tension in the cablem = Mass of the Joey and the elevatora = Accelerationg = Acceleration due to gravityFrom the question,
Given:
m = (300+60) = 360 kga = 2 m/s²g = 9.8 m/s²Substitute these values into equation 2
T = (360×9.8)+(360×2)T = 3528+720T = 4248 NT ≈ 4200 to the nearest hundred.Hence, the tension in the rope is 4200 N, the right option is A) 4200 N.
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A dog sits 2.2 m from the center of a merry- go-round.
a) If the dog undergoes a 1.6 m/s2 cen- tripetal acceleration, what is the dog’s linear speed?
Answer in units of m/s.
second part
What is the angular speed of the merry-go- round?
Answer in units of rad/s.
The dog’s linear speed will be 1.88 m/s
The angular speed of the merry-go- round will be 0.85 rad/sec
centripetal acceleration = [tex]v^{2} / r[/tex]
given
r = 2.2 m
linear speed = ?
centripetal acceleration = 1.6 [tex]m/s^{2}[/tex]
centripetal acceleration C(a) = [tex]v^{2} / r[/tex]
linear speed = [tex]\sqrt{C(a) * r}[/tex]
= [tex]\sqrt{1.6 * 2.2 }[/tex] = [tex]\sqrt{3.52}[/tex] = 1.88 m/s
The dog’s linear speed will be 1.88 m/s
angular speed = linear speed / radius
= 1.88 / 2.2 = 0.85 rad/sec
The angular speed of the merry-go- round will be 0.85 rad/sec
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A 21 KG chair initially at rest on a horizontal floor requires a 167 N horizontal force to set it in motion once the chair is in motion a 132 N horizontal force keeps it moving at a
constant velocity.
The acceleration of gravity is 9.81 m/s².
a) What is the coefficient of static friction
between the chair and the floor?
b) what is the coefficient of kinetic friction between the chair and the floor?
The chair and floor have a static friction coefficient of 7.9523 and a kinetic friction coefficient of 0.8114, respectively.
What causes static friction?The braking force of an item is static friction. The resistance humans encounter when attempting to move something fastened to the ground without actually moving thier own bodies or the surface that are sitting on is described as static friction.
What causes static friction to form?Adhesion, a slight chemical attraction between contact objects, is what causes static friction. Friction is also produced by the interaction of the flaws on each surface.
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Question 2 (1 point)
Doctors tested a patient to find out what molecules were in her cells. Her cells contained normal levels of oxygen moleculs, low levels of amino
acid molecules, and low levels of glucose molecules. Will this patient be able to exercise normally?
Yes, as long as her cells have enough oxygen, her body will be able to exercise.
No, her cells need glucose to react with oxygen to release enough energy to exercise.
No, her cells need amino acids to react with oxygen to release enough energy to exercise.
No, her cells need glucose to react with amino acids to release enough energy to exercise.
No, her cells need glucose to react with oxygen to release enough energy to exercise. Option B.
Oxygen, glucose, and amino acid molecules from air and food are the fuel your body needs to function every day. Without these molecules, cells cannot do what they need to do to keep the body healthy. Our cells cannot use starch as is. Before starch enters cells, it must be broken down into individual glucose molecules.
The glucose molecule is then transported inside the cell and used to facilitate the cell's respiratory response. Athletes believe that all they need to do is eat a variety of foods and train because their bodies simply need different types of food molecules to function properly. Living organisms mainly use these two types of molecules, glucose, and ATP, as chemical energy.
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Please help me <3
What is measured in Newtons?
Both force and weight (the force of gravity)
Acceleration
Volume
Mass
Answer: both force and gravitational force
Explanation:
1. A child sits on a dock and notices that 8 wavelengths pass the end of the dock in 4 seconds. What is the
frequency of the waves passing the dock?.
2. What is the period of the waves in question 1?
Answer:
Explanation:
Given:
n = 8
t = 4 s
______
f - ?
T - ?
Frequency:
f = n /t = 8 / 4 = 2 Hz
Period:
T = 1 / f = 1 / 2 = 0.5 s
How has the magnet affected the block of material next to it?
The magnet affected the block of material next to it because it exerts an attractive or repulsive force on other objects.
How do magnets affect other materials?Magnets do the retinue things: Attract certain materials, such as iron, nickel, cobalt, certain steels, and other alloys. apply an attractive or repulsive force on other magnets (opposite poles attract, like poles repel).
Magnetic forces are oblivious forces; they pull or push on objects without touching them. Magnets are only attracted to a few 'magnetic' metals and not all matter. Magnets are attracted to and repel other magnets.
So we can conclude that Materials with a magnetic field can attract other materials with such a field. Materials that are not magnets do not have a net outer magnetic field.
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6. How is research classified according to the following? a. Purpose b. Goal c. Levels of investigation d. Types of analysis e. Scope f. Choice of answers to problems g. Statistical content h. Time element
Answer:
I think the answer is the option h
hope this helps you
You and a friend are astronauts. You push off eachother with a force of 100N. You both have a weight of 0 in space, but your mass is 110kg, and your friend’s is 80kg. Calculate the accelerations of both you and your friend
Since the force of gravity acting on a body in space is zero;
acceleration for the 110 kg person is 0.acceleration for the 80 kg person is 0.What is the relationship between the mass and acceleration of a body?The mass of a body is inversely related to the acceleration of the body if a constant force is applied to the body.
The greater the mass, the lesser the acceleration of the body.
Mathematically:
Force = mass * acceleration
The force acting on a body in space is zero.
Hence, acceleration = force / mass
For a mass of 110 kg;
acceleration = 0 / 110
Acceleration = 0
For a mass of 110 kg;
acceleration = 0 / 80
Acceleration = 0
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Question 3
During discussion, a student states, "The law of conservation of energy is not actually useful because no system is ever truly isolated from the rest of the universe. No system is truly closed. There will always be some amount of energy entering or leaving a system." You believe that energy conservation is a useful concept, and you want to
explain why. Which of the following responses is most true?
The most true response is: there are many situations in which difference between energy entering in a system and leaving a system is so small that we can ignore it - so some systems can be treated as if they are closed even they are not.
What is conservation of energy?Energy cannot be created or destroyed, according to the rule 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.
The law of energy conservation is adhered to by all energy forms. In a nutshell, the law of conservation of energy asserts that the system's total energy is conserved in closed systems, or systems that are separated from their environment.
In practical life no system is ever truly isolated from the rest of the universe. No system is truly closed. There will always be some amount of energy entering or leaving a system.
But there are many situations in which difference between energy entering in a system and leaving a system is so small that we can ignore it - so some systems can be treated as if they are closed even they are not.
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If relativistic effects are to be less than 6%, then must be less than 1.06. At what relative velocity is = 1.06?
If relativistic effects are to be less than 6%, then must be less than 1.06. Hence, at a relative velocity (v) of 0.33c, gamma is = 1.06. This problem is solved using the Lorentz Factor.
What is the Lorentz Factor?The Lorentz factor is a correction parameter used to calculate relativity. Without this component, relativistic motion calculations simply fail, and we can obtain speeds that surpass the speed of light, which cannot be.
The calculation to the above solution is given as follows
Given:
γ = 1/ √1-(v²/c²)
It is logical to simplify by squaring both sides
⇒ γ² = 1/ 1-(v²/c²)
Taking the reciprocal of both sides, we have
1-(v²/c²) = 1/γ²
Transposing we have
v²/c² = 1 - 1/γ²
Since we are looking at v, lets us isolate it:
v = √[1 - (1/γ²) · c]
Inserting the Lorentz factor which is
γ = 1.06, we have
v = √[1 - (1/1.06²) · c]
Hence,
v = 0.33c
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Full Question:
If relativistic effects are to be less than 6% then gamma must be less than 1.06. At what relative velocity is gamma = 1.06?
A car moving with an initial velocity of 45 ms¹ is brought to a stop in 5 s. Find:
a) the deceleration of the car
b)the distance needed to stop the car
Answer:
a) -9 [tex]m/s^2[/tex]
b) 112.5 meters
Explanation:
Here is a formula for acceleration.
[tex]a=\frac{V_{f} -V_{o} }{t}[/tex]
We are given
[tex]V_o=45[/tex] m/s
[tex]V_f=0[/tex] m/s
[tex]t=5[/tex] s
Lets solve for [tex]a[/tex].
[tex]a=\frac{0-45}{5}[/tex]
[tex]a=\frac{-45}{5}[/tex]
[tex]a=-9[/tex] [tex]m/s^2[/tex]
Here is a formula for displacment.
[tex]x=V_o t+\frac{at^2}{2}[/tex]
[tex]V_o=45[/tex] m/s
[tex]t=5[/tex] s
[tex]a=-9[/tex] [tex]m/s^2[/tex]
Lets solve for [tex]x[/tex].
[tex]x=45*5+\frac{-9*5^2}{2}[/tex]
[tex]x=225+\frac{-9*25}{2}[/tex]
[tex]x=225+\frac{-225}{2}[/tex]
[tex]x=225+-112.5[/tex]
[tex]x=225-112.5[/tex]
[tex]x=112.5[/tex]
If a 2.5 m long pendulum has a bob of 75 g. Calculate its Period, Frequency, and velocity at
equilibrium after its bob is pulled 10 cm above equlibrium and then released.
Time period and frequency of the pendulum are respectively 3.17 second and 0.315 second⁻¹. The velocity of its bob at the equilibrium is
140 cm/s.
Given parameters:
Length of the pendulum, L = 2.5 m = 250 cm.
Mass of the bob, m = 75 g
And, bob is pulled 10 cm above equilibrium and then released.
acceleration due to gravity, g = 9.8 m/s².
Hence, time period of the pendulum is, T = 2π√(l/g)
= 2π√( 250/980) second.
= 3.17 second.
Frequency of the pendulum , n = 1/T = 1/3.17 second⁻¹ = 0.315 second⁻¹.
Let v be the velocity of the bob at equilibrium,
Kinetic energy at equilibrium = potential energy at the highest point
⇒ 1/2 × 75 × v² = 75 × 980 × 10
⇒ v = √(2×980×10)
= 140 cm/s.
So, the velocity at equilibrium after its bob is pulled 10 cm above equilibrium and then released is 140 cm/s.
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What is the motion of a rolling ball?
The motion of the ball is translational and rotational.
Rotational motion because the ball is continuously rolling along its axis.
Translational motion because the ball is also moving forward and not just rotating at a fixed place.
But all these have a force acting on it that affects the motion of the ball.
The forces are :
"Normal Force,"
"Gravity Force,"
"Force Friction,"
"Applied Force."
It is due to the result of the friction, which causes the ball to stop.
The reason the ball rolls is due to the force that is imparted to it.
Therefore, the motion of the ball is fully under the control of forces acting on all the sides of the ball.
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Figure 1 shows a large wind farm of the coast of the UK.
The mean power outputs of the wind farm is 696 MW, which is enough power for 580,000 homes.
Calculate the mean power needed for 1 fame:
Give your answer in watts.
Based on the total power output by the wind farm, the mean electrical power for 1 home = 1200 W
What is the mean electrical power needed for 1 home?The mean electrical power needed for 1 home is determined as follows:
Mean power for 1 home = total power output by the farm / total number of homes
Based on the data provided:
The total number of homes that can be powered by the power produced from the wind farm is 580,000 homes
The total power output by the wind farm is 696 MW
Converting MW to watts by multiplying by 1000,000
696 MW = 696 * 1000000 W
696 MW = 696000000 W
Mean electrical power for 1 home = 696000000 / 580000
Mean electrical power for 1 home = 1200 W
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Answer:
1200 W
Explanation:
696 MW = 696,000,000 watts
1MW = 1,000,000 watts
696 MW = 580,000 homes
1 home = 696,000,000/580,000
1 home = 1200 W
What two forces keep stars in equilibrium?
A. cosmic microwave background radiation
B. self gravity
C. thermal pressure
D. dark energy
According to the given information self gravity two forces keep stars in equilibrium.
The correct option is B.
What you mean by forces?The push or pull on a mass-containing item alters its velocity. An external force is an agent that has the power to alter the rest or flowing condition of a body. It has a direction and a magnitude. Like we discovered in a previous session, forces are significant because they create motion changes.
What is effect of force?An object can change its dimensions or shape, begin moving, stop moving, accelerate, or decelerate as a consequence of the a force acting on it. When two things contact, they exert pressures on each other that are identical in size but directed in the opposite direction.
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using references websites or maps and a different color line, draw the major crystal plates of the earth on your world map. label the names of the plates neatly
Answer:
The Earth's major plates are the African plate, the Antarctic plate, the Eurasian plate, the North American plate, the South American plate, and the Pacific plate.
Explanation:
You stand in front of a mirror. How tall does the mirror have to be so that you can see yourself entirely?
a. same as your height
b. less than your full height but more than half your height
c. half your height
d. less than half your height
e. any size will do
If you stand in front of a flat mirror. The one-half of your height will be seen yourself entirely. Option C is the correct answer.
What is height?A person or anything can be measured from head to toe or from the bottom up by their height. In other words, a person's height indicates how tall they are. Distance units, such as meters, centimeters, millimeters, etc., are used to measure height. We may assess how much taller we get as we age. We frequently contrast the average heights of men and women in various nations.Take a look at your room's four walls. The height of a wall is measured from the ground to the ceiling. Remember how your class is organized in the school assembly, with the tiniest child in the front and the tallest youngster at the back.
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