The kinetic energy of a roller coaster is at its highest at the bottom of the drop, the lowest position. This can be explained by the conservation of energy.
What is law of conservation of energy?The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."
In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as
E₁ = E₂
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E₁ = mechanical energy at point 1E₂ = mechanical energy at point 2m = mass of an objectv₁ = velocity of object at point 1v₂ = velocity of object at point 2h₁ = height of object at point 1h₂ = height of object at point 2At the lowest position of a roller coaster, the height is zero. If we count the energy change from the highest position where the velocity is zero, we get the equation
½mv₁ + mgh₁ = ½mv₂ + mgh₂
½m(0) + mgh₁ = ½mv₂ + mg(0)
mgh₁ = ½mv₂
U₁ = KE₂
There is only kinetic energy at the lowest position of the roller coaster.
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PLEASE HELP WILL GIVE 20 POINTS TO THE ANSWER!!! A 3000 kg car is moving east at 15 m/s with
another 2200 kg car moving west at 10 m/S
If the 2 cars collide and stick together, what speed and direction will they travel?
Answer:
4.42 m/s EAST
Explanation:
Conservation of Momentum Law: total momentum before the collision must equal the total momentum after the collision.
Momentum = P = mv
East is the positive direction.
(3000 kg)(15 m/s) - (2200 kg)(10 m/s) = (3000 kg + 2200 kg)v
45,000 kg·m/s - 22,000 kg·m/s = (5200 kg)v
23,000 kg·m/s = (5200 kg)v
v = (23,000 kg·m/s) / 5200 kg = 4.42 m/s EAST
The direction is east because the final velocity is (+)
What provides faster speed and lower latency?.
A wired connection to the internet offers higher speed and lower latency.
An Ethernet cable provides much faster delivery of your web address requests to your internet service provider, resulting in lower latency and faster speeds for your Internet connection. Your internet connection speeds might impact your ping in addition to the different elements that determine how good your ISP is or latency. Your ping will decrease as a result of faster data transmission and reception.
Distance, propagation time, internet connection type, website content, Wi-Fi, and router all have an impact on latency. Some of these issues can be resolved, while others are inevitable in the online world for everyone.
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How do you improve low latency?.
Optimizing network infrastructure, reducing network hops, caching frequently requested data and using protocols designed for low latency such as UDP.
Optimizing network infrastructure, reducing network hops, caching frequently requested data and using protocols designed for low latency such as UDP can help improve low latency.
Additionally, using a Content Delivery Network (CDN) can help reduce the physical distance data needs to travel, and implementing Quality of Service (QoS) can help prioritize and manage network traffic.
Minimizing the amount of data that needs to be sent, such as by compressing files, can also help reduce latency. Furthermore, reducing the number of devices or intermediaries between the source and destination can also decrease latency.
Finally, using edge computing, where data is processed closer to the source, can also help reduce latency.
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 newtons to a height of 4 meters. if 400joules of work is done, how much force must have been applied?
If 400 joules of work is done, 100 newtons force much have been applied
In order to calculate the force required to lift an object weighing 220 newtons to a height of 4 meters with a lever having an effort arm of 10 meters and a load arm of 2 meters, we must first determine the amount of work done.
Since 400 joules of work was done, we can use the formula Work = Force x Distance to calculate the force required.
In this case, the distance is 4 meters, so the equation becomes
400 = Force x 4.
By dividing 400 by 4 we can determine that the force required is 100 newtons.
Therefore, in order to lift the object weighing 220 newtons to a height of 4 meters with a lever having an effort arm of 10 meters and a load arm of 2 meters, 100 newtons of force must have been applied.
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When two different molecules move in opposite directions one into the cell and one out of the cell through the same carrier or transport protein This is protein is called a?.
When two different molecules travel in opposite directions through the same carrier or transport protein—one into the cell and the other out of the cell—the protein is said to be an antiport.
Proteins called symports allow two molecules to go across membranes in the same direction (also called symporters, synports, or symporters). The movement of two molecules across the bilayer in opposite directions is accomplished by an antiport protein. Ions can move more easily when proteins called ionophores are present. To move molecules like glucose, transport proteins employ a passive strategy. Transport proteins, however, actively allow sodium and potassium ions to cross the neuronal membrane in spite of the concentration gradient.
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What is the force of friction experienced as a 2 kg steel block is pulled across a steel surface?
The force that is acting on the block is 19.l6 N
What is the force?We have to know that the weight of the object is a force that is acting along the rope that is pulling the object. We must be able to note that the tension is the force that is acting along the rope that is pulling the object.
Now the weight of the steel block is going to act as a force of tension on the rope that is pulling the block.
We now have to know that the force is obtained from;
Force = mg
m = mass
g = acceleration due to gravity
F = 2 Kg * 9.8 m/s^2
= 19.6 N
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two negatively charged objects are 2 meters apart. the student adds electrons through conduction to one of the objects. complete the statement to describe how the magnitude of the electrical and gravitational force is affected.
When the student adds electrons through conduction to one of the objects, the magnitude of the electrical force between the two negatively charged objects will increase.
This is because the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. As the charge on one of the objects increases, the electrical force between the two objects will increase.
The magnitude of the gravitational force, however, will not be affected. The gravitational force is a force of attraction between two objects due to their masses. As electrons have a negligibly small mass, adding or removing electrons from an object will not affect the gravitational force between the two objects.
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The back of a loaded pickup truck is open.
A car rear-ends the pickup truck, causing its load to spill. Explain the event in terms of Newton's laws.
The load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car.
Newton's first law states that an object at rest will remain at rest unless acted upon by an unbalanced force. In this scenario, the load of the pickup truck is at rest in the back of the truck, but when the car rear-ends the pickup truck, it applies an unbalanced force on the load, causing it to spill out of the truck.
Newton's second law states that the force applied on an object is equal to the mass of the object multiplied by its acceleration. In this scenario, the car applies a force on the load of the pickup truck, which is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. The force causes the load to spill out of the truck.
Newton's third law states that for every action, there is an equal and opposite reaction. In this scenario, when the car rear-ends the pickup truck, the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
In summary, the load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car. The force applied on the load of the pickup truck is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. And the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
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What is Newton's gravitational constant G write down its numerical value and SI unit?.
The S.I value of Newton's gravitational constant G will be 6.674×10⁻¹¹ (Newton.meter².kg⁻²) .
The gravitational constant, denoted by the capital letter G and also known as the universal gravitational constant, Newtonian constant of gravitation, or Cavendish gravitational constant, is an empirical physical constant that is used to calculate the gravitational effects in both Albert Einstein's theory of general relativity and Sir Isaac Newton's law of universal gravitation.
It is the proportionality constant in Newton's law that links the gravitational force between two bodies to the sum of their respective masses and the square root of their distance. It quantifies the relationship between the energy-momentum tensor and the spacetime geometry in the Einstein field equations (also referred to as the stress–energy tensor).
We can reasonably say that we know the measured value of the constant to four significant digits. SI units is 6.674 ×10⁻¹¹(Newton.meter².kg⁻²) .
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Does latency increase with distance?.
Yes, the latency may increase with increase in distance because latency is directly proportional to the distance and inversely proportional to the propagation speed.
Latency refers to the delay in time which takes place when a unit of data commonly referred to as packets are transferred from one place to another. It is because of the interruptions by other digital networks or low internet speed. It is given by the formula that latency is the ratio of propagation distance to propagation speed. Thus greater the distance, greater will be the latency. Latency must be low to provide most closer real time approach while communicating online, such as in video conferences, meetings or online chatting.
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These waves are traveling at the same speed. Which wave has the highest frequency? a. Wave frequency with line crossing in the middle b. A wave frequency with line crossing in the middle c. A wave frequency with line crossing in the middle d. A wave frequency with line crossing it.
The accompanying figure makes it evident that wave (a) has the shortest wavelength, or the shortest distance between two crests or troughs. A will therefore have the highest frequency of all waves.
Which of the waves has the highest frequency?The strongest, shortest, and most energetic gamma rays are also the most energetic.In contrast to water waves, electromagnetic waves always move at the same speed (3 hundred million metres per second), and sound waves all move through a given medium at the same pace (for example, approximately 340 metres per second in air).The length of one cycle in a recurring occurrence makes the period the reciprocal of the frequency. Gamma rays are therefore the most powerful, have the highest frequency, and have the shortest wavelength. Gamma Rays are the last response.Because they are created by the combination of two or more basic waves that meet at the same location, most waves appear complex.To learn more about frequency refer to:
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On June 1, year 1, ABC Co. Issued a 200,000 euro purchase order for equipment to be supplied by a German company. ABC's functional currency is the U. S. Dollar. The equipment was delivered to ABC on November 1, year 1, and ABC recorded a payable due to the German company. ABC paid for the equipment on January 31, year 2. The following are the exchange rates in effect:
June 1, year 1 1 euro = 1. 40 U. S. Dollars
November 1, year 1 1 euro = 1. 50 U. S. Dollars
December 31, year 1 1 euro = 1. 35 U. S. Dollars
January 31, year 2 1 euro = 1. 30 U. S. Dollars
Under IFRS, what is the foreign currency gain or loss that ABC should record for the year ended December 31, year 1?
ABC Co. should record a $30.000 foreign currency gain under IFRS for the fiscal year ended December 31, year 1.
Under IFRS, ABC Co. should record the foreign currency transaction at the exchange rate on the date of the transaction, and any subsequent changes in the exchange rate should be reflected in the profit or loss in the period in which they occur.
For the year ended December 31, year 1, ABC recorded a liability of $300,000 (€200,000 x 1.5) on November 1, year 1.
However, the liability decreased to $270,000 (€200,000 x 1.35) on December 31, year 1, resulting in a foreign currency gain of $30,000 for ABC Co.
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3. How far could a horse with an average speed of 15 m/s run in: (a) 10 s? (b) 1 minute?
Answer:
10s A horse with an average speed of 15 m/s run.
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A student wants to design an experiment to study the transformation of mechanical energy. Which object can be used to investigate how gravitational potential energy transforms into kinetic energy?.
A student wants to design an experiment to study the transformation of mechanical energy, a slide can be used to investigate how gravitational potential energy transforms into kinetic energy.
What is kinetic energy?The energy of motion, or kinetic energy, may be seen in the movement of an item or subatomic particle. Kinetic energy can be discovered in every moving object and particle. Kinetic energy is generated when anything moving, such as a person walking, a baseball rising through the air, a piece of food dropping from a table, or a charged particle in an electric field. The object's squared velocity determines the kinetic energy. As a result, an object's kinetic energy quadruples when its velocity doubles. Kinetic energy is divided into five kinds radiative, thermal, sound, electrically, and mechanic.
Kinetic energy of an object can be expressed in terms of its mass m and velocity v as:
K.E = 1/2 × m × v²
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The complete question is as follows:
A student wants to design an experiment to study the transformation of mechanical energy. Which object can be used to investigate how gravitational potential energy transforms into kinetic energy?(1 point)
a spring
a flat race car track
a slide
a rug
What is the condition for maximum torque in induction motor Mcq?.
Torque is maximum in an induction motor when rotor resistance is equal to the rotor reactance.
Let us mathematically represent the equation of Torque of a three-phase induction motor:
T = [180/(2piNs)] [sV^2R2/(R2^2 + s^2X2^2)]
where Ns: Synchronous speed
V: Voltage of supply
R2: Rotor resistance
X2: Rotor reactance
From above formula, it can be concluded that induction motor torque varies with Slip and rotor resistance.
To get maximum torque, we apply the condition:
sm = Rm/Xm = 1
Therefore, Rm = Xm
where Rm: Motor Resistance/Phase
Xm: Motor Reactance/Phase
At the beginning of a three-phase slip ring induction motor where Nr = 0
Slip = 1
sm = Rm/Xm = 1
Xm = Rm
Therefore, maximum torque is when resistance and reactance of rotor are equal.
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What is momentum known for?.
Momentum describes the relationship between an object's mass, velocity, and direction. Any change in momentum generates force. As a result, a change in momentum is used to calculate the force acting on the object.
What is momentum?It is measured by "mass velocity," because momentum is affected by velocity and the direction of the body's motion. Because velocity is a vector and mass is a scalar quantity, momentum is a vector quantity. Momentum is defined as mass multiplied by velocity. The definition of momentum is "mass moving." Because all objects have mass, when they move, they have momentum - their mass is in motion. Momentum is a moving body's amount of motion, calculated as the product of its mass and velocity. It has the formula mass velocity.
Here,
The relationship between an object's mass, velocity, and direction is described by momentum. Any change in momentum results in the generation of force. As a result, the force acting on the object is calculated using a change in momentum.
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Does mass depend on size?.
No, mass and size are two different physical quantities that do not have any direct relationship.
Mass is a scalar quantity that measures the amount of matter in an object and is independent of its location or motion. It is the total amount of matter in an object, and it doesn't change when the object is compressed or expanded.
Size, on the other hand, is a measure of how big an object is. It can be defined in terms of length, width, and height, and it can change if the object is compressed or expanded.
So, mass does not depend on size, and size does not depend on mass. They are independent physical quantities that are used to describe different aspects of an object. For example, the mass of an object determines its inertia and gravitational attraction, while the size of an object determines the amount of space it occupies.
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identify examples of how globalization has affected the field of anthropology.
Increased exposure to diversity and job opportunities for people in developing countries. Through ethnographic fieldwork, anthropologists change not only the lives of those they are studying, but their own lives
What does "anthropologist" mean?Studying what makes humans human is called anthropology. In order to understand how early human populations lived and what was significant to them, archaeologists look back hundreds or even thousands of years in the past.
What is an anthropologist's job?The history, evolution, and behavior of people are all topics that anthropologists and archaeologists research. In different parts of the world, they look at the cultures, languages, artifacts from archeological digs, and physical traits of the local population.
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Does mass depend on acceleration?.
No, mass and acceleration are two different physical quantities that do not have any direct relationship.
Mass is a scalar quantity that measures the amount of matter in an object, and it is independent of its location or motion. It is the total amount of matter in an object, and it doesn't change when the object is accelerated or decelerated.
Acceleration, on the other hand, is a measure of how much the velocity of an object is changing over time. It can be defined as the rate of change of velocity. The acceleration of an object can change if the object is accelerating or decelerating, but it doesn't change the mass of the object.
So, mass does not depend on acceleration and acceleration does not depend on mass. They are independent physical quantities that are used to describe different aspects of an object. For example, the mass of an object determines its inertia, while acceleration determines how fast an object is changing its velocity.
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What is the formula for acceleration down a slope?.
The formula for acceleration down a slope is a = g * sinθ where g is gravity and sinθ is an angle of the slope with horizontal field.
Where did the formula come from?The formula is come from comparing two force formula that are F = m * a and F = m*g cosθ where m is mass of the object and g is gravity. The creation of the formula are made like this :
F = m*g sinθ
m * a = m*g sinθ delete the same variable
a = g sinθ
Since sinθ is define as cos(90 - θ), the formula can be written as
a = g cos(90 - θ)
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What is the increase in temperature of a 200g block of metal of specific heat capacity 400J/(kg ℃) when 1500J heat energy is supplied?
Answer:
18.75 °C
Explanation:
Q = mcΔT
ΔT = Q / (mc)
convert g → kg
200 g = 0.20 kg
ΔT = (1500 J) / (0.20 kg)(400 J/kg·°C) = 18.75 °C
Taking into account the definition of calorimetry, the increase in temperature is 18.75°C.
Definition of calorimetryCalorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
In this way, between heat and temperature there is a direct proportional relationship, where the constant of proportionality depends on the substance that constitutes the body and its mass.
The equation that allows to calculate heat exchanges is:
Q = c× m× ΔT
where:
Q is the heat exchanged by a body of mass m.c is the specific heat substance c.ΔT is the temperature variation.Increase in temperature in this caseIn this case:
Q= 1500 Jc= 400 J/(kg °C)m= 200 g= 0.200 kg (being 1000 g= 1 kg)ΔT= ?Replacing in the definition of calorimetry:
1500 J= 400 J/(kg °C)× 0.200 g× ΔT
Solving:
1500 J÷ [400 J/(kg °C)× 0.200 g]= ΔT
18.75 °C= ΔT
In summary, the temperature variation is 18.75°C.
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What is the magnitude of vector AxB?.
The magnitude of vector AxB = |AxB| = A B sinθ, like the dot product, is the angle formed by the vectors A and B when drawn tail-to-tail.
AxB represents the cross product (or vector product) of two vectors A and B. A cross-product produces a new vector. We must determine its magnitude and direction.
Direction: AxB is perpendicular to the plane defined by A and B.
To determine whether it is pointing into or out of the plane, use the right-hand rule (RHR).
RHR (right-hand rule): This is how it works. Consider an axis perpendicular to the plane that runs through the tails of A and B. With your fingers, grasp the axis.
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As you walk to science class, you start out at a speed of 2 m/s, for a time of 120 seconds (you’re really excited to get to class). Then you see your friend and slow down to a speed of 0.5m/s for 30 seconds. You stop at your locker for 40 seconds (a speed of 0 m/s). You realize that you are about to be late so you hurry to class at a speed of 1 m/s and get to class just as the bell rings (4 minutes after your trip started). How far did you travel total?
The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
What is Speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.
The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.
Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
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Explain one way organisms with similar niches reduce competition when they are found in the same ecosystem? Give one example.
One way organisms with similar niches reduce competition when they are found in the same ecosystem is by resource partitioning.
One example of resource partitioning is when two species of birds foraging together feed on different resources; one eats insects on tree trunks while the other eats insects in the outer branches.
What is resource partitioning?Resource partitioning, which helps prevent rivalry in an ecological niche, is the division of scarce resources among species.
Two similar species employ mostly non-overlapping resources as a result of this type of evolution, and as a result, they occupy different niches. Because there is less direct rivalry between the species as a result of this resource partitioning, the species can coexist.
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How many laws of physics are there?.
The number of laws of physics can vary depending on how they are defined and categorized. In general, there are four fundamental forces of nature that govern the behaviour of matter and energy: gravity, electromagnetism, the strong nuclear force, and the weak nuclear force.
These forces are described by a set of mathematical equations, known as laws of physics, that predict how objects will behave under different conditions. Additionally, there are many other physical principles and laws that have been discovered and developed over time to explain a wide range of phenomena, such as the laws of thermodynamics, the laws of motion, quantum mechanics, and special and general relativity.
Overall, the number of laws of physics is considered to be vast and diverse.
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How much energy is Dimmy Waistalott charged for by leaving his 100W light on 24/7 for 10
days?
The energy consumed for leaving 100 W light on 24/7 for 10 days is
8,64 X [tex]10^{7}[/tex] J (Joule)
Power for light (P) = 100 W = 100 J/S (Joule / Second)
Time consuming (T) = 24 hours for 10 days
= 10 days x 24 hours x 3600 second
= 864.000 S (second)
Based on the formula for Power
P = [tex]\frac{Energy}{Time}[/tex]
We can find the E (Energy) that was consumed by Dimmy Waistalott
Energy = P x T
= 100 J/S x 864.000 S
= 86.400.000
= 864 x [tex]10^{5}[/tex] J
E = 8,64 x [tex]10^{7}[/tex] J
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After landing on mars, you drop a marker from the door of your landing module and observe that it takes 2.1 s to fall to the ground. when you dropped the marker from the module door on earth, it took 1.3 s to hit the ground.
What is the magnitude of the acceleration due to gravity near the surface of Mars?
You drop an marker from your landing module's door after touching down on Mars and make note of it. The acceleration of the object on Mars but on average is 3.72076 ms2, which is 38% of the acceleration on Earth.
Is acceleration similar to acceleration in magnitude?Alternatively said, acceleration is really a vector. The vector's magnitude equals its length. The vector's direction determines its direction. As a result, the amplitude of the speed is the same as the acceleration vector's magnitude, and vice versa for the acceleration's direction.
What is the name for the amount of acceleration?Answer and justification The measure of acceleration is measured in meters / second squared. Acceleration involves both velocity and time, hence it's critical that the Both factors are reflected in units. Since velocity is indeed a vector, it possesses both a magnitude and a direction.
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On the way to the moon, the apollo astro- nauts reach a point where the moon’s gravi- tational pull is stronger than that of earth’s. find the distance of this point from the center of the earth. the masses of the earth and the moon are 5.98 × 1024 kg and 7.36 × 1022 kg, respectively, and the distance from the earth to the moon is 3.84 × 108 m. answer in units of m.
The distance of this point from the center of the earth will be 3.46* 10^8 m due to gravitational pull.
Gravity is the force that pulls objects toward the center of a planet or other object. During their orbits around the sun, all the planets are held in place by gravity. When the gravitational pull of the moon on the astronaut becomes stronger than the gravitational pull of the earth,
Force Ea< Force Ma
G [tex]\frac{MgMa}{x^{2} }[/tex]<= G [tex]\frac{MmMa}{(L-x)^{2} }[/tex]
[tex]\frac{1.98* 10^(24)}{x^{2} }[/tex]<= [tex]\frac{7.36* 10^(22)}{(3.84*10^8-x)^{2} }[/tex]
so solving,
x= 3.46*10^8 m.
So, The distance of this point from the center of the earth will be 3.46* 10^8 m due to gravitational pull.
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A 50. -kilogram woman wearing a seat belt is traveling in a car that is moving with a velocity of +10. Meters per second. In an emergency, the car is brought to a stop in 0. 50 second. What force does the seat belt exert on the woman so that she remains in her seat?.
The force exerted on the woman by the seat belt is equal to 50 kg x 20 m/s2 = 1000 N.
What is force?Force is a push or pull that acts upon an object, causing it to accelerate or change direction. It is an influence that can cause an object to change its motion, direction, shape, or even energy. Force can be generated through direct physical contact, or it can be generated from a distance, such as when a magnet pulls on a piece of metal. Forces are measured in newtons, and the SI unit for force is the Newton (N).
The force exerted on the woman by the seat belt is equal to her mass times the acceleration experienced by the car. The acceleration of the car is equal to the change in velocity (10 m/s) divided by the time it took for the car to stop (0.50 s), which is equal to 20 m/s2. Therefore, the force exerted on the woman by the seat belt is equal to 50 kg x 20 m/s2 = 1000 N.
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Arrange the following phyla in increaing order of evolution
arthopodo, platyhelminthe, annelide, echinodemata
Phyla in increaing order of evolution is Platyhelminthes, Annelidia, Arthopoda and Echinidermata.
What is meant by Annelidia?
The coelomate, triploblastic, bilaterally symmetric Annelids are invertebrates. For movement, they also have parapodia.This system has undergone a significant modification as a result of cladistic study since 1997, which views leeches as a subgroup of oligochaetes and oligochaetes as a subgroup of polychaetes.Additionally, previously recognized as distinct phyla, the Pogonophora, Echiura, and Sipuncula are now considered to be subgroups of polychaetes. The Lophotrochozoa, a "super-phylum" of protostomes that also includes molluscs, brachiopods, and nemerteans, is thought to include annelids.The fundamental annelid form is divided into several sections. In most polychates, each segment has the same set of organs and a pair of parapodia that many species use for locomotion.To learn more about Annelidia refer to
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