Hominin remains have been found at sites throughout Africa, Europe, and Asia. Below are five of these fossil sites and their main finds. Place them in order from the oldest (earliest in fossil record = most ka) to the youngest (most recent in fossil record = least ka).
1. Omo Kibish: incomplete fossil skull (oldest)
2. Herto: a skull intermediate between H. heidelbergensis and modern H. sapiens
3. Klasies River: fragmentary hominin remains
4. Tianyuan Cave: modern human maniple and femur (youngest)

Answers

Answer 1

Hominin remains have been found at sites throughout Africa, Europe, and Asia. Below are five of these fossil sites and their main finds. The correct order of the given hominin fossil sites from oldest to youngest is Omo kibish, Klasies river, Herto, and Tianyuan cave.

Omo kibish is incomplete fossil skull (oldest)The oldest fossil site on the list is Omo kibish in Ethiopia, which is dated to around 195,000 years ago. The site has a partial skull, lower jawbone, and a few other fragments of the skull. Klasies river is fragmentary hominin remains Klasies river Mouth in South Africa is dated back to around 120,000 years ago. The site contains human fossils along with the remains of other animals.

Herto is a skull intermediate between H. heidelbergensis and modern H. sapiens, Herto Bouri in Ethiopia, dated to around 160,000 years ago. The site contains 3 complete hominid skulls which were much more modern than expected for their age. The skulls were similar to Homo sapiens, but with some differences. Tianyuan cave is modern human maniple and femur (youngest). Tianyuan cave in China, dated to around 40,000 years ago, contains one of the earliest modern human fossils. A complete set of human teeth and bones from a foot, leg, and hand were found at this site.

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Related Questions

Determine the power of water transferred each hour through the dam. 500 m² are cleared every hour. The height of the dam is 500m.​

Answers

Answer:

The power of water transferred each hour through a 500m high dam if 500m² are cleared every hour is approximately 4.41 GW

Explanation:

To answer this question, we need to know the density of water, the gravitational acceleration, and the efficiency of the dam. Let's assume that the density of water is 1000 kg/m³, the gravitational acceleration is 9.81 m/s², and the efficiency of the dam is 100%.

The power of water transferred each hour through the dam is given by the formula:

Power = Flow rate x Density x Gravity x Height x Efficiency

where Flow rate is the volume of water that passes through the dam each second, Density is the density of water, Gravity is the gravitational acceleration, Height is the height of the dam, and Efficiency is the efficiency of the dam.

First, let's calculate the flow rate:

Flow rate = Area x Velocity

where Area is the cleared area of 500m² and Velocity is the speed of water passing through the dam.

Assuming that the water is moving at a constant speed, we can use the formula:

Velocity = Height / Time

where Time is the time it takes for the water to pass through the dam.

Since the height of the dam is 500m and we want to know the power transferred each hour, we can convert the time to seconds as follows:

Time = 1 hour / 3600 seconds per hour = 0.000277778 hours

So, the velocity of the water is:

Velocity = 500m / 0.000277778 hours = 1,800,000 m/s

Now we can calculate the flow rate:

Flow rate = 500m² x 1,800,000 m/s = 900,000 m³/s

Finally, we can calculate the power of water transferred each hour through the dam:

Power = Flow rate x Density x Gravity x Height x Efficiency

Power = 900,000 m³/s x 1000 kg/m³ x 9.81 m/s² x 500m x 1

Power = 4,405,500,000 watts or approximately 4.41 GW

Therefore, the power of water transferred each hour through a 500m high dam if 500m² are cleared every hour is approximately 4.41 GW.

A survey was conducted at local colleges around Madison, Wisconsin to find out the average height of a college student. Of 692 students surveyed, 421 replied that they were over 6 feet tall. What is the standard error? Answer choices are rounded to the hundredths place.

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A survey was conducted at local colleges around Madison where 692 students were surveyed, and 421 replied that they were over 6 feet tall showing a standard error of 0.0084 in the average height of a college student.

The standard error is given by the formula given below:

[tex]$$SE= {s}/{\sqrt{n}}$$[/tex]

Where s is the standard deviation,

n is the sample size.

Now let us find out the standard deviation by using the formula given below:

[tex]$$s=\sqrt{\frac{(421-271.17)^2+(271.17-270)^2}{692-1}}$$[/tex]

After calculating we get that the standard deviation s is equal to $0.2208$.

Now let us plug the value of the standard deviation s and sample size n into the formula for standard error:

[tex]$$SE={s}/{\sqrt{n}}$$[/tex]

On substituting the respective values, we get [tex]$$SE={0.2208}/{\sqrt{692}}$$[/tex]

On solving, we get that the standard error is equal to 0.0084

Therefore, the standard error is 0.0084.

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if the true stress - true plastic strain curve can be described by the hollomon equation , obtain the true strain at the onset of necking in terms of hollomon equation parameters

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The true strain at the onset of necking can be obtained from the Hollomon equation as follows: true strain = (K/S)^(1/n).

Here, K is the strength coefficient, S is the stress, and n is the strain hardening exponent. Thus, given the values of these parameters, we can calculate the true strain at the onset of necking.

The Hollomon equation is a mathematical expression for the true stress-true strain curve that relates the true stress to the true strain in a material. It is expressed as follows: true stress = K(true strain)^n. Here, K is the strength coefficient and n is the strain hardening exponent.

The true strain at the onset of necking is the strain at which the material starts to deform plastically instead of elastically. This can be obtained from the Hollomon equation by rearranging it to the form true strain = (K/S)^(1/n). Thus, given the values of the parameters K, S, and n, we can calculate the true strain at the onset of necking.

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a 421 kg block is puled up a 4.54 degree incline by a constant force f of 3282 n. the coefficient of friction mu between the block and the plane is 0.47. how fast in m/s will the block be moving 6 seconds after the pull is applied?

Answers

The block will be moving at 3.97 m/s 6 seconds after the pull is applied.

Given Mass of the block, m = 421 kg, Inclined angle, θ = 4.54°, Force applied, F = 3282 N, Coefficient of friction, μ = 0.47, Time, t = 6 s

Using Newton's second law of motion, F - μmg sin θ = ma

Where,
m = Mass of the block
g = Acceleration due to gravity
a = Acceleration of the block

Substituting the given values,

3282 - 0.47 × 421 × 9.81 × sin 4.54° = 421 × a
a = 0.6614 m/s²

Using kinematic equations of motion,

v = u + at

Where,
u = Initial velocity
v = Final velocity
a = Acceleration
t = Time

Since the initial velocity is zero, the above equation becomes
v = at

Substituting the values,
v = 0.6614 m/s² × 6 s
v = 3.97 m/s

Therefore, the block will be moving at 3.97 m/s 6 seconds after the pull is applied.

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an electromagnetic wave is transporting energy in the positive y direction. at one point and one instant the magnetic field is in the positive x direction. the electric field at that point and instant points in the

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Energy is being transported in the positive y direction by an electromagnetic wave. The magnetic field is in the positive x direction at one spot and one moment. At that precise moment, the electric field is oriented in the "negative z" direction.


The given electromagnetic wave is transporting energy in the positive y direction. At one point and one instant, the magnetic field is in the positive x direction. Now we have to find the direction of the electric field at that point and instant. According to the right-hand rule, when the magnetic field is directed towards the positive x-axis, the electric field will be directed downwards along the negative z-axis. Therefore, the electric field at that point and instant points in the negative z direction.

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2.1 [2] As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance a. approaches infinity b. approaches zero c. becomes zero d. approaches 1 Ω
2.2 [2] Kirchhoff's loop rule is equivalent to which of the following principles? a. conservation of charge b. conservation of energy c. conservation of mass d. conservation of force

Answers

2.1 As more resistors are added in parallel, the equivalent resistance approaches zero

2.2 Kirchhoff's loop rule is equivalent to the conservation of energy principle.

As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance approaches zero. This statement is TRUE. The equivalent resistance, Req, of a parallel combination of resistors is less than any of the resistors in the combination, while for a series combination it is equal to the sum of the resistances.

Kirchhoff's loop rule is equivalent to the conservation of energy principle. Kirchhoff's loop rule or Kirchhoff's voltage law (KVL) is a result of the conservation of energy principle. The principle of conservation of energy states that energy can neither be created nor destroyed, it can only be transformed from one form to another. In a closed loop, the total energy gained is equal to the total energy lost, according to the principle of conservation of energy.

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what is the potential difference across a capacitor after it has been discharging for a very long time?

Answers

The potential difference across a capacitor after it has been discharging for a very long time is 0 volts. This is because the capacitor is empty of charge, and thus has no potential difference between its two terminals.

A capacitor is a type of electrical component that stores energy in an electric field. The energy is stored in the form of electric charges on two conductive plates.

The plates are separated by an insulating material called a dielectric. The potential difference across a capacitor is proportional to the amount of charge stored on the plates.

What happens when a capacitor discharges?

When a capacitor discharges, it loses the stored charge. This discharge occurs when the capacitor is connected to a circuit. The capacitor will then begin to discharge as the charges on the plates flow through the circuit.

The potential difference across the capacitor will decrease as the charges on the plates decrease.

The capacitor has been completely discharged and no longer has any potential difference.

Thus, the potential difference across a capacitor after it has been discharging for a very long time is zero.

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hydroelectric dams generate electricity by question 20 options: a. using the energy of the river to produce steam. b. using run-of-the-river systems, in which turbines are placed into the natural water flow. c. water impoundment, in which dam operators control the rate of water flow to turbines. d. using generators that are placed on the bottom of a river. e. converting the kinetic energy of the water impounded behind a dam into potential energy.

Answers

Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.

c is the correct option.

Hydroelectric dams are dams used to produce electricity. The movement of water drives turbines, which power generators that generate electricity.

The movement of water, generated by gravity, is what drives turbines. Hydroelectric dams are the most widely used renewable energy source, accounting for approximately 16% of global electricity production.

Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.

This is the process of using turbines that are powered by the movement of water that has been dammed to generate electricity.

Turbines are powered by water that has been dammed to generate electricity, which is then sent to a power station to be used.

The electricity generated from hydroelectric dams is clean and safe, making it an important part of the renewable energy mix. They are also an essential part of the global infrastructure because they provide reliable, low-cost power.

They also assist in the management of rivers, flood control, and irrigation systems in various parts of the world.

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A 12100 kg railroad car is coasting on a level, frictionless track at a speed of 19.0 m/s when a 4790 kg load is dropped onto it.
If the load is initially at rest, find the new speed of the car and the % change of the kinetic energy.
Hint 1: If the load is dropped into the car, it is like the car is "colliding� with a stationary load. If the load is stuck in the car, can they have different final velocities from one another?

Answers

The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.

The 12100 kg railroad car is initially travelling at a speed of 19.0 m/s and has a kinetic energy of KE = 0.5*12100*1902 = 5.58 x 106 Joules. The 4790 kg load is dropped onto the car from rest, so its initial kinetic energy is 0.

When the load is dropped onto the car, the two objects collide and their velocities after the collision will be equal. Therefore, the final speed of both the railroad car and the load will be v = (12100*19 + 4790*0) / (12100 + 4790) = 17.2 m/s. The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.

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the mass of a particular bar of gold-pressed latinum (from star trek) has a mass of 100 grams. what is the mass of this bar when it is brought to the moon?

Answers

The mass of a particular bar of gold-pressed latinum on the moon is 100 grams.

Gold-pressed latinum (GPL) is a kind of currency in the Star Trek world. Latinum, a rare silver-colored liquid, is pressed between gold layers to make GPL, which is valued in the Federation as a rare and valuable resource. The value of GPL is measured in amounts of gold. It can be used in various types of exchange and trade.

The mass of a particular bar of gold-pressed latinum when it is brought to the moon is the same as its mass on Earth. The bar's mass will stay the same no matter where it is located because mass is a constant property of an object. Mass is a measure of an object's resistance to acceleration in response to a force. It is a measure of how much matter is contained in an object.

As a result, if an object has a mass of 100 grams on Earth, it will have the same mass on the moon or any other location in the universe. Therefore, the mass of a particular bar of gold-pressed latinum when it is brought to the moon is 100 grams.

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When the rock hlt Cesar, the impact was softened by several protective features of the head. Which of the following structures would have helped to protect the brain from the external force? View Available Hint() Bone Oligodendrocytes Cerebrospinal fluid Basal ganglia Hair Dura mater White matter

Answers

The structure that would have helped to protect the brain from the external force when the rock hit Cesar are as follows: Dura mater and Cerebrospinal fluid.

What is the central nervous system? The central nervous system (CNS) is responsible for processing incoming stimuli from the peripheral nervous system and producing a coordinated response. It includes the brain and the spinal cord.

The brain is the largest component of the CNS, comprising 2% of the body's weight but consuming about 20% of its oxygen and nutrients. It consists of three main parts: the brainstem, the cerebellum, and the cerebrum.

The brainstem is responsible for regulating critical functions like respiration, circulation, and digestion; the cerebellum controls motor coordination, and the cerebrum is the area of the brain responsible for sensory perception, emotion, and movement.

What is external force? External forces, also known as contact forces, are forces that act on an object as a result of its interaction with its surroundings. Forces that do not require contact to take effect, such as gravitational and magnetic forces, are not considered external forces.

Examples of external forces are gravity, air resistance, tension, and friction. Dura mater and Cerebrospinal fluid as the structure that would have helped to protect the brain from the external force when the rock hit Cesar. When a rock hits Cesar, the external force created by it must be transferred to the skull, and ultimately the brain.

However, several protective features of the head help to reduce the severity of the impact. The brain is protected by two main structures: the dura mater and the cerebrospinal fluid.

The dura mater is the outermost layer of the meninges, which is a protective membrane covering the brain and spinal cord. It acts as a cushion, absorbing some of the external force generated by the impact.

Cerebrospinal fluid is a clear liquid that flows throughout the central nervous system, filling the space between the brain and the skull. It acts as a shock absorber, reducing the impact's intensity by distributing the force more evenly.

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What happens when thermal energy is removed from a substance?(1 point) Responses All substances will freeze. All substances will freeze. The substance loses potential energy. The substance loses potential energy. The substance’s atoms lose kinetic energy. The substance’s atoms lose kinetic energy. The substance’s particles speed up

Answers

When thermal energy is removed from a substance, the substance loses kinetic energy. This can result in a decrease in temperature, and in some cases, a phase change such as solidification or condensation. However, the specific response of the substance depends on factors such as its composition, pressure, and temperature.

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

well first u divide the numbers

A ball rolls across the floor, slowing down with constant acceleration of magnitude . The ball has positive velocity ???? after rolling a distance x across the floor.
Calculate the ball's initial speed ????0 if ????= 4.51 m/s2, ????=11.17 m/s, and x=2.66 m.

Answers

A ball rolls across the floor, slowing down with a constant acceleration of magnitude a = 4.51 m/s2.

The ball has positive velocity v after rolling a distance x = 2.66 m across the floor.

To calculate the ball's initial speed v0 if

v = 11.17 m/s.

The initial velocity of the ball, v0 =?

The final velocity of the ball, v = 11.17 m/s

The acceleration of magnitude a = 4.51 m/s2

Distance travelled, x = 2.66 m

If an object has initial velocity v0, constant acceleration a, and travelled distance x, then its final velocity is given by:

v2 = v0² + 2ax

Here, the ball's initial velocity is v0, and its final velocity is v.

After substituting the given values, we have:

v2 = v0² + 2ax

=> (11.17)²

= v0² + 2(4.51)(2.66)

=> 124.57

= v0² + 25.39

=> v0² = 124.57 - 25.39

=> v0² = 99.18 => v0 = √99.18

=> v0 = 9.96 m/s

Hence, the initial velocity of the ball is v0 = 9.96 m/s.

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100 points!! It’s for a T-Chart, I need the answer for each question, regarding electric fields and magnetic fields.

Answers

Answer:

An electric field is essentially a force field that’s created around an electrically charged particle. A magnetic field is one that’s created around a permanent magnetic substance or a moving electrically charged object.

Electric fields are created by electric charges.

Permanent magnets are objects that produce their own persistent magnetic fields.

in electric fields Positive and negative charged objects attract or pull each other together, while similar charged objects (2 positives or 2 negatives) repel or push each other apart

in magnetic fields, Similar magnetic poles repel and unlike magnetic poles attract each other.

Attach a wire running from the negative terminal of the battery to one sheet and a wire running from the positive terminal of the battery to the other sheet

A magnetic field can be created by running electricity through a wire. All magnetic fields are created by moving charged particles. Even the magnet on your fridge is magnetic because it contains electrons that are constantly moving around inside

A bus engine transfers chemical potential energy into ___ so that the bus moves.
a. kinetic energy
b. thermal energy
c. gravitational potential energy
d. electrical energy

Answers

the answer is “A” !!!!

if the leftover energy in the previous problem is 134.9 j (it's not, don't go back and try to use this value) and the mass is 2 kg, what speed (in m/s) does the block have at the bottom of its slide? revisit the definition of ke if needed.

Answers

The speed of the block at the bottom of its slide is 16.4 m/s.

In the previous problem, the kinetic energy of the block was found to be 135 J.

The formula for kinetic energy is

KE = 1/2mv²,

Where:

m is the mass of the object and v is its velocity.

Now we can use the same formula to find the velocity of the block at the bottom of its slide.

KE = 1/2mv²

We know that the mass of the block is 2 kg, and the kinetic energy at the end of the slide is 135 J.

KE = 135 Jm = 2 kg1/2mv² = 135 Jv² = 2(135 J) / 2 kgv² = 270 JV = sqrt(270 J) / 2 kgV = 16.4 m/s

Therefore, the speed of the block at the bottom of its slide is 16.4 m/s.

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which of the following actions will cause the relative humidity of an air parcel to increase? select all that apply
a. Keep the parcel’s temperature constant and increase the parcel’s dew point
b. Decrease the parcels temperature and increasethe parcels dew point
c. Keep the parcel’s temperature constant and keep the parcels dew point constant
d. Increase the parcels temperature and increase the parcels dew point
e. Keep the parcels dew point constant and increase the parcels temperature

Answers

The relative humidity of an air parcel will increase if any of the following actions are taken:

Keep the parcel’s temperature constant and increase the parcel’s dew pointDecrease the temperature of the parcel and increase the parcels dew pointIncrease the temperature of the parcel and increase the parcels dew pointKeep the parcels dew point constant and increase the temperature of the parcel

What is relative humidity?

To understand this further, we can look at the formula for relative humidity, which is the amount of water vapor in the air divided by the amount of water vapor that can exist at a particular temperature. When the temperature is kept constant and the dew point increases, the amount of water vapor in the air increases, resulting in an increase in relative humidity.

The followings are the given options and the actions they will take that will cause the relative humidity of an air parcel to increase:

Option A: Keep the parcel's temperature constant and increase the parcel's dew point. This action would increase the RH of the air parcel because it will increase the quantity of water vapor in the air parcel. As the parcel's temperature is constant, the ability of the air to hold water vapor also remains constant.

Option B: Decrease the parcel's temperature and increase the parcel's dew point. This action would also increase the RH of the air parcel. As the temperature of the parcel decreases, the amount of moisture that the air can contain also decreases. When the dew point is raised, the quantity of water vapor in the air parcel rises relative to the amount it can carry.

Option C: Keep the parcel's temperature constant and keep the parcel's dew point constant. In this case, there will be no increase in RH because the quantity of water vapor in the air parcel will remain the same as the ability of the air to hold water vapor remains constant.

Option D: Increase the parcel's temperature and increase the parcel's dew point. Increasing the parcel's temperature will raise the ability of the air to hold water vapor, but it will not increase the amount of water vapor in the air parcel. As a result, the RH of the air parcel will decrease.

Option E: Keep the parcel's dew point constant and increase the parcel's temperature. This action will also decrease the RH of the air parcel as it will increase the amount of moisture that the air can hold. Thus, the relative humidity will decrease.

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The electric potential at a distance d
from a certain point charge is V relative to infinity. What is the potential (relative to infinity) at half the distance for the same charge?
A. V/4
B. 2 V
C. V/2
D. 4 V

Answers

The electric potential from a certain point charge when the distance is halve for the same charge will be V/2. Thus, the correct option will be C.

What is Electric potential?

According to the Coulomb's law, the electric field is the gradient of the electric potential. And, the electric potential V is given by:V = kQ/r, where Q is the charge, r is the distance between the charge and the point where the potential is being calculated, and k is Coulomb's constant. Here, the electric potential at a distance d from a certain point charge is V relative to infinity.

The electric potential (relative to infinity) at half the distance for the same charge is the distance r/2, so:

V' = kQ/r

2V' = kQ/(d/2)

V' = 2kQ/d

V' = V/2

Therefore, the electric potential at half the distance for the same charge is V/2.

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what is the current in a counductor if 3.15*10^18 electrons pass a given point in the conductor in 10 seconds

Answers

The current in a counductor if 3.15*10^18 electrons pass a given point in the conductor in 10 seconds is 0.0504 amperes

Current calculation.

The current in a conductor is defined as the rate at which electric charge flows through it. The unit of current is amperes (A), which is defined as coulombs per second. One coulomb is equal to the charge on 6.24 × 10^18 electrons.

Given that 3.15 × 10^18 electrons pass a given point in the conductor in 10 seconds, we can find the charge that flows through the point as follows:

Number of electrons = 3.15 × 10^18

Charge on one electron = 1.6 × 10^-19 coulombs

Total charge = Number of electrons × Charge on one electron

Total charge = 3.15 × 10^18 × 1.6 × 10^-19

Total charge = 0.504 coulombs

The current is the rate of flow of charge, so we can find it by dividing the total charge by the time taken:

Current = Total charge ÷ Time taken

Current = 0.504 coulombs ÷ 10 seconds

Current = 0.0504 amperes (A)

Therefore, the current in the conductor is 0.0504 amperes, or 50.4 milliamperes (mA).

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as a 4.4-kg object moves from (2 i 5 j) m to (6 i - 2 j) m, the constant resultant force acting on it is equal to (4 i - 3 j) n. if the speed of the object at the initial position is 4.9 m/s, what is the work done by the force, and what is its kinetic energy at its final position? as your answer in canvas, write the kinetic energy in joules.\

Answers

The kinetic energy of the object at its final position is 90.98 J.Given,Mass, m = 4.4 kg Initial position, r1 = (2 i + 5 j) m, Final position, r2 = (6 i − 2 j) m ,Initial velocity, u = 4.9 m/s ,Constant resultant force, F = (4 i − 3 j) N .To find the work done by the force,First, we need to find the displacement vector = r2 - r1= (6 i − 2 j) - (2 i + 5 j)= (6 - 2) i + (-2 - 5) j= 4 i - 7 j

Magnitude of the displacement vector,= √(4² + (-7)²)= √65 m Now, we can find the work done by the force,W = F.s= (4 i - 3 j) . (4 i - 7 j)= 4(4) + 3(7)= 37 J

Therefore, the work done by the force is 37 J.

To find the kinetic energy of the object at its final position,First, we need to find the final velocity of the object by using the work-energy principle.Initial kinetic energy, K1 = (1/2)mu²= (1/2) × 4.4 × (4.9)²= 53.98 J

Work done by the force, W = 37 JFinal kinetic energy, K2 = K1 + W= 53.98 + 37= 90.98 JTherefore, the kinetic energy of the object at its final position is 90.98 J.

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You throw a ball straight up. Compare the sign of the work done by gravity while the ball goes up with the sign of the work done by gravity while it goes down.
a) Work is + on the way up and + on the way down
b) Work is + on the way up and - on the way down
c) Work is - on the way up and + on the way down
d) Work is - on the way up and - on the way down

Answers

Answer:

Work is negative on the way up and positive on the way down.

Explanation:

Work is positive if displacement and the force are in the same direction.

Work is negative if displacement and the force are in opposite directions.

(Note that work is zero if displacement is perpendicular to the force.)

In this question, the gravity on the object points downwards at all times.

On the way up, the position of the object is above where it was launched. Hence, displacement would point upwards.

Since the direction of gravity is opposite to that of displacement on the way up, the work on the object would be negative.

In contrast, displacement of the object points downward on the way down. Since displacement is in the same direction as the force of gravity, the work on the object would be positive.

a 3 3-inch candle burns down in 12 hours. if b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.

Answers

The proportional equation that matches the context of a 33-inch candle burning down in 12 hours is b = 2.75t.

A candle that is 33 inches long is called a 33-inch candle. Candles are a popular decorative item that is commonly used for lighting, as decoration for weddings, and parties, or to create an aromatic atmosphere. B represents the length of the candle that has burned away at any time given in hours, t.

To find the proportional equation for b in terms of t that matches the context of a 33-inch candle burning down in 12 hours, the following steps should be followed:

Identify the given informationThe length of the candle (l) = 33 inchesThe time taken for the candle to burn down (t) = 12 hours

Determine the rate of burning The rate of burning of the candle is given by l/t. Therefore, the rate of burning = 33/12 = 2.75 inches per hour.

The proportional equation for b in terms of t is given by b = rt where r is the rate of burning. Therefore, b = 2.75t.

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when the air is in geostrophic balance, it flows _______ to isobars _________ the boundary layer.

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When the air is in geostrophic balance, it flows parallel to isobars  and above the boundary layer.

Geostrophic balance is a state of balance between the pressure gradient force and the Coriolis force, where the pressure gradient force is directed from higher to lower pressure, and the Coriolis force is perpendicular to the direction of motion. In this state, the wind flows parallel to the isobars, with the pressure gradient force and the Coriolis force balancing each other out.

The boundary layer is the layer of air near the Earth's surface where friction between the air and the surface slows down the wind and causes it to flow in a more complex manner, with the wind direction changing with height. However, in the geostrophic flow regime, the wind flow is typically above the boundary layer and thus not affected by surface friction.

Therefore, in geostrophic balance, the wind flows parallel to isobars and above the boundary layer, with little to no effect from the Earth's surface.

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is the current flowing out of a resistor smaller than the current flowing into it. if not, then do resistors not actually slow down the flow of charge. eplain and give exampes\

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The current flowing out of a resistor is typically smaller than the current flowing into it. Resistors do not actually slow down the flow of charge, they merely convert electrical energy into heat.

The statement that the current flowing out of a resistor is smaller than the current flowing into it is correct. This is because resistors slow down the flow of charge. The amount of current flowing through a resistor is determined by the amount of voltage across the resistor and the resistance of the resistor. When the voltage across the resistor increases, the current flowing through it also increases.

Conversely, when the resistance of the resistor increases, the current flowing through it decreases. Resistors are used to control the flow of current in electrical circuits. They are used in a variety of applications, such as in voltage dividers, filters, and voltage regulators.

For example, a voltage divider is a circuit that divides a voltage into two or more parts. A voltage divider is made up of two resistors in series, and the output voltage is taken across one of the resistors. The amount of voltage across the output resistor is determined by the values of the two resistors.

If the two resistors are equal, the output voltage will be half the input voltage. If the output resistor is smaller than the input resistor, the output voltage will be less than half the input voltage. Conversely, if the output resistor is larger than the input resistor, the output voltage will be greater than half the input voltage.

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what are two characteristics of net forces that are balanced

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Balanced net forces have equal and opposing forces that cancel each other out and provide a net force of zero, which does not alter the motion of an item.

An object's velocity remains constant and motion is unaltered when the net forces acting on it are balanced. This indicates that the thing is either stationary or moving continuously. When the forces exerted on an item are opposing in direction and of equal magnitude, they are said to be balanced forces. The forces in this situation cancel one another out, leaving a net force of zero. This can happen when one force is applied to an item and that object applies an equal and opposite force in the opposite direction to another object. It can also happen when two or more forces are applied in opposing directions and of equal magnitude. Understanding equilibrium and stability in physics requires a knowledge of the idea of balanced forces.

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Critically discuss why the environment in most communities continue to be dirty amidst the existence of local government structures​

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Explanation:

# Unmanaged population distribution

# lack of sanitation programs

# lack of awareness programs

# lack of implementation of policies and rules

# carelessness of people and government

# Unmanaged waste disposal

what device is used through ureteroscope to capture an inact calculus or fragments if fractured by laser

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The device used through a ureteroscope to capture an intact calculus or fragments if fractured by laser is called a basket retrieval device.

A ureteroscope is a specialized tool that is used to examine and treat the inside of the ureter and kidney. It is made up of a long, thin tube with a camera and a light source at the end, which is inserted into the patient's urinary tract through the urethra. The physician will be able to examine the lining of the bladder, ureters, and kidneys during this examination.

A basket retrieval device is a specialized tool that is used during ureteroscopy, which is a minimally invasive surgical technique used to examine the inside of the urinary tract. It is used to remove kidney stones or any fragments that have been broken down by laser lithotripsy.The basket retrieval device works by capturing the stones or fragments with its metal "basket" and then removing them from the body. The physician will then be able to extract the stones or fragments by retracting the basket into the ureteroscope's working channel. The stones will be disposed of or sent to a lab for further testing.

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A dragster is travelling east when the parachute opens and slows the dragster for 4.5 seconds at a rate of 10 m/s2 west. What was the dragster's change in velocity due to the parachute?​

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The dragster's change in velocity due to the parachute can be calculated using the kinematic equation:

Δv = aΔt

where Δv is the change in velocity, a is the acceleration, and Δt is the time interval during which the acceleration occurs. In this case, the dragster is initially travelling east, so its velocity is positive, and the parachute applies a force in the opposite direction, resulting in a negative acceleration.

Given that the acceleration is -10 m/s² (westward) and the time interval is 4.5 seconds, we can calculate the change in velocity as:

Δv = (-10 m/s²) x (4.5 s) = -45 m/s

Therefore, the dragster's change in velocity due to the parachute is -45 m/s (westward). This means that the dragster's velocity is reduced by 45 m/s in the westward direction over the 4.5-second interval during which the parachute is deployed.

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The change in velocity due to the parachute is -45 m/s east

What is velocity ?

Velocity is a vector quantity that describes the speed and direction of motion of an object. In other words, velocity is the rate at which an object changes its position in a specific direction.

Velocity is expressed in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h)

Velocity is different from speed, which is also a measure of the rate of motion but only describes how fast an object is moving, without taking into account the direction of motion.

we will use the formula :-

change in velocity = acceleration x time

where acceleration is the rate at which the dragster slows down, and time is the duration for which it slows down.

Here, the dragster is travelling east, and the parachute applies a force in the opposite direction (west), causing it to slow down. So, the acceleration is -10 m/s^2 (negative because it's in the opposite direction to the velocity).

The time for which the dragster slows down is 4.5 seconds.

Therefore, the change in velocity due to the parachute is:

change in velocity = acceleration x time

change in velocity = (-10 m/s^2) x (4.5 s)

change in velocity = -45 m/s east

Note that the velocity is negative because the dragster is slowing down, and it's still travelling east (i.e., in the positive direction).

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If I heated up a glass of 100 grams of water, and the temperature changed from 25℃ to 31℃, how much heat was needed to do that (in calories)?

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Answer:

6° because some heat is released out of surrounding. if 100 over six which is equal to sixtenn point four

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