Which is the correct scientific notation of the number 0.000681?

Answers

Answer 1

Answer:

6.81 x 10^-4

Explanation:


Related Questions

Please help me:)
Three identical conducting spheres, I, II, and III, are mounted on insulating stands and placed as shown above. Spheres I and II are each uncharged, and III carries a positive charge. Spheres I and II are connected to each other by a conducting wire. After the wire is removed, sphere III is moved far away. Which of the following statements about the subsequent charges on spheres I and II is correct?

A. Sphere I is positively charged and sphere II is negatively charged.
B. They are each still uncharged.
C. They are charged with equal negative charges.
D. They are charged with equal positive charges.

Please help me:)Three identical conducting spheres, I, II, and III, are mounted on insulating stands

Answers

Answer:

The correct option is;

Sphere I is positively charged and sphere II is negatively charged

Explanation:

The charging of the spheres by induction is achieved by introducing a charge to the metal spheres that are insulated from the ground to prevent loss of charge by placing them on insulating stand

The two spheres are brought into contact by the connection of a conducting wire between the spheres I and II

The presence of the positively charged sphere III draws attracts electrons towards sphere II while the net positive charge moves towards sphere I

While the spheres I and II are still polarized, the conducting wire is removed  while the presence of sphere III continues to keep sphere II negative compared to sphere I

After removing the connecting wire, sphere III is removed leaving the excess negative charge on sphere II and the excess positive charge on sphere I

The net charges then evenly redistribute themselves on each sphere creating two oppositely charged spheres.

A roller coaster car travels along the track shown in the diagram above At which position on the track are the kinetic and potnetial energy of the roller coaster car almost equal to each other

A roller coaster car travels along the track shown in the diagram above At which position on the track

Answers

Recall the concepts about kinetic and potential energies.

Kinetic energy = The energy due to the motion of the object

Potential energy = The energy due to the position of the object.

Position 1:

At this position, the kinetic energy is minimum due to the non-motion of the roller coaster but the potential energy is maximum due to the height.

Position 3:

At this position, the potential energy is minimum since the height is almost zero but the kinetic energy is maximum due to the motion.

Position 2:

The kinetic and potential energy of the roller coaster car will be equal to each other at a point that is halfway between positions 1 and 3 that is position 2.

At this point, the roller coaster has enough motion and height such that kinetic and potential energy will be equal to each other.

The kinetic energy is increasing and the potential energy is decreasing but at position 2, they will be equal.

While _[blank]_ science deals with knowledge discovery, _[blank]_ science deals with knowledge use.

Answers

Answer:

Explanation:

While pure science deals with knowledge discovery Applied science deals with knowledge use

An ambulance emits a frequency of 450 Hz from its siren. What frequency is heard by a man as the ambulance moves toward him? less than 450 Hz more than 450 Hz 450 Hz 0 Hz.

Answers

Frequency is defined as the number of repetitions of waves occurring in 1 second. The frequency heard by the man as the ambulance move toward him will be greater than 450 Hz.

What is the frequency ?

Frequency is defined as the number of cycles completed in 1 second. Frequency is given by the formula as,

\(\rm{Frequency =\frac{1}{time } }\)

As the formula shows frequency is inversely proportional to the time that shows if the time is decreasing frequency will increase and vice versa.

In the above case, the ambulance is moving toward the men. So that the time to meet up is decreased that's why the frequency will be greater than the initial frequency from the siren.

Hence the frequency heard by the man as the ambulance move toward him will be greater than 450 Hz.

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Answer: the answer is b more than 450 hz

Explanation: i took the test

A carrot hangs from the ceiling by a rope,

What is the correct free body diagram for the carrot?

Answers

Answer: Diagram B

Explanation:

A free body diagram shows the forces acting on an object in a certain scenario.

In this scenario there are two forces acting on the carrot: the Tension force (Ft) from the rope that the carrot is hanging from and Gravitational force(Fg) which is pulling the carrot to the Earth.

The diagram depicting this is diagram B.

A carrot hangs from the ceiling by a rope,What is the correct free body diagram for the carrot?

Answer:

ft and fg

Explanation:

A ball is thrown into air at an angle of 70 degree above the horizontal with an initial velocity of 60 m/s from a 50 m high building .

Answers

The maximum height reached by the ball is 1042.9 m and the range of the ball is 543.98 m.

The given problem can be solved using projectile motion. Projectile motion is a form of motion that occurs when an object is thrown near the surface of the earth and moves along a curved path due to the influence of gravity. Here, a ball is thrown into the air at an angle of 70 degrees above the horizontal with an initial velocity of 60 m/s from a 50 m high building. We need to find the maximum height reached by the ball and the range of the ball.

Let's first find the time taken to reach the maximum height. We know that,Initial vertical velocity

u = usinθ

= 60sin70°

= 57.66 m/s

Acceleration due to gravity g = 9.8 m/s²

Maximum height h is given by the formula,

h = u²sin²θ/2g

= 57.66²sin²70°/2×9.8

= 1042.9 m

Now, we can find the time taken to reach the maximum height using the formula

v = u + gt0

= v - u/g

= 0 - 57.66/9.8

= 5.87 s

So, the time taken to reach the maximum height is 5.87 s.

Using the formula, Range

R = u²sin2θ/g

= 60²sin2(70°)/9.8

= 543.98 m

Therefore, the maximum height reached by the ball is 1042.9 m and the range of the ball is 543.98 m.

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While electric current is flowing through a wire, what surrounds the wire?.

Answers

A material that doesn't conduct electricity well - such as a plastic/rubber covering, acting as the electrical insulator.

Hope this helps!

If a light ray from a candle strikes a mirror at an angle of 40 degrees with the normal, at what angle will the ray reflect?

A. 20 degrees
B. 25 degrees
C. 40 degrees
D. 60 degrees
E. 80 degrees

Answers

B. 25 Degrees

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Answer: 20

Explanation:

a proton follows the path shown in (figure 1). its initial speed is v0 = 2.8×106 m/s.

Answers

The proton's speed as it passes through point P is 1.66×10⁶ m/s.

The proton's speed at point P can be determined by the equation:

KE = PE + ( mv²/2 )

where,

KE= kinetic energy

PE = potential energy

m = mass of the proton

v = speed of the proton.

Given

Proton's initial speed is v₀ = 2.8×10⁶ m/s

By putting the values in the question the solution is as follows so as the Proton's speed at point P can be calculated as:

v = √(2KE/m)

= √(2 ×2.8 × 10⁶ m/s² / 1.67 × 10⁻²⁷ kg)

= 1.66 × 10⁶ m/s

Therefore, the proton's speed as it passes through point P is 1.66×10⁶ m/s.

Your question is incomplete most probably your full question was

A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.8×106 m/s.What is the proton's speed as it passes through point P?Express your answer to two significant figures and include the appropriate units.

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If the pressure head in the aquifer is 100 ft., calculate the effective stress (N/m") in the aquifer.
If the aquifer is pumped and the hydraulic head at some point is reduce by 12 ft., what will be the resulting changes in the pressure head (m), the effective stress (N/m*), the fluid pressure (N/m*), and the total stress (N/m? ?

Answers

The resulting changes will be:

1. Pressure head: 88 ft (or 26.82 m)

2. Effective stress: No change, assuming no other factors affect it

3. Fluid pressure: No change

4. Total stress: Decreased by the same amount as the effective stress

To calculate the effective stress in the aquifer, we need to subtract the fluid pressure from the total stress.

Given:

Pressure head in the aquifer = 100 ft (or 30.48 m)

The pressure head in the aquifer is directly proportional to the fluid pressure, which can be calculated using the formula:

Fluid pressure (P) = ρ * g * h

Where:

ρ = density of the fluid (water) = approximately 1000 kg/m³

g = acceleration due to gravity = 9.8 m/s²

h = pressure head

Fluid pressure = 1000 kg/m³ * 9.8 m/s² * 30.48 m ≈ 298,440 N/m² (or Pa)

The total stress in the aquifer is the sum of the fluid pressure and the effective stress. Therefore, the effective stress can be calculated by subtracting the fluid pressure from the total stress.

Now, let's consider the changes in the hydraulic head due to pumping:

Change in hydraulic head = -12 ft (or -3.66 m)

The resulting changes in each parameter will be as follows:

1. Pressure head:

The pressure head will be reduced by 12 ft, so the new pressure head will be 100 ft - 12 ft = 88 ft (or 26.82 m).

2. Fluid pressure:

The fluid pressure does not change, as it depends on the density of the fluid and the acceleration due to gravity, which remain constant.

3. Effective stress:

The effective stress can be calculated as the total stress minus the fluid pressure. Since the fluid pressure remains constant, the effective stress will also remain constant unless there are other factors affecting it.

4. Total stress:

The total stress is the sum of the fluid pressure and the effective stress. As mentioned earlier, the fluid pressure remains constant, so the total stress will decrease by the same amount as the effective stress, assuming no other factors affect the total stress.

Therefore, the resulting changes will be:

1. Pressure head: 88 ft (or 26.82 m)

2. Effective stress: No change, assuming no other factors affect it

3. Fluid pressure: No change

4. Total stress: Decreased by the same amount as the effective stress

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Compare the mass of the two objects.

Which statement accurately describes the mass of the watermelon

Answers

The statement which accurately describes the mass of the watermelon is:

The mass of the watermelon is greater than 2 kg.

Option c is the correct answer

What are fundamental quantities?

Fundamental quantities are the quantities which forms the basic unit of measurement. In order words, these are the quantities upon which other quantities and units are derived from.

The three examples of fundamental quantities are:

LengthMassTime.

Other examples of fundamental quantities are:

TemperatureLuminous intensityAmount of substanceMagnetic fluxElectric current

So therefore, the statement which accurately describes the mass of the watermelon is:

The mass of the watermelon is greater than 2 kg.

Complete question:

Compare the mass of the two objects.

Which statement accurately describes the mass of the watermelon?

a. The mass of the watermelon is less than 2 kg.

b. The mass of the watermelon is equal to 2 kg.

c. The mass of the watermelon is greater than 2 kg.

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1. A block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s. ​

Answers

Answer:

397 j

Explanation:

Because 5.0kg yuh

The kinetic energy of the block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s is 396.9 J.

What is kinetic energy?

A moving item or particle has a certain kind of power called kinetic energy. When an item exerts a net force to perform work, which involves the transfer of energy, the object accelerates and as a result, gains kinetic energy.

The amount of kinetic energy that a moving object or particle possesses is determined by both its mass and rate of motion. Any combination of vibration, axis rotation, translation (or movement along a path from one location to another), and translation are all possible motion types.

Given:

The mass of the block, m = 5 kg,

The horizontal force, F = 80 N,

The velocity of the block, v = 12.6 m / s,

Calculate the kinetic energy by the formula given below,

\(KE = 1/2mv^2\)

KE = 1 / 2 × 5 × 12.6²

KE =  1 / 2 × 5 × 158.6

KE = 396.9 J

Therefore, the kinetic energy of the block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s is 396.9 J.

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The complete question is A block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s. ​Find its kinetic energy?

Define mixture, heterogeneous, homogeneous, solution, colloid, suspension, solvent, solute, saturation.( please don't answer the question if you don't know the answer )
20 points

Answers

Answer:

1) a substance made by mixing other substances together.

2) diverse in character or content.

3) of the same kind; alike.

4) a means of solving a problem or dealing with a difficult situation.

5) a homogeneous noncrystalline substance consisting of large molecules or ultramicroscopic particles of one substance dispersed through a second substance. Colloids include gels, sols, and emulsions; the particles do not settle, and cannot be separated out by ordinary filtering or centrifuging like those in a suspension.

6) the temporary prevention of something from continuing or being in force or effect.

7) having assets in excess of liabilities; able to pay one's debts.

8) the minor component in a solution, dissolved in the solvent.

9) the state or process that occurs when no more of something can be absorbed, combined with, or added.

REFER TO IMAGE ...

Define mixture, heterogeneous, homogeneous, solution, colloid, suspension, solvent, solute, saturation.(

If you pass an electric current through an iron nail, you will create an electromagnet. This magnet will pick up small objects, thus demonstrating that electrical energy can be converted into mechanical energy. Is there a way to use this principle to create a motor?

Answers

An iron nail, when it loses its magnetism, often iron behaves as a magnet when electric current flows only through the coil of insulated wire wrapped around it. There is therefore, a way to use this principle to create a motor.

An electromagnet is said to be created if a known current is passed through a coil of wire gathered around an iron nail.

The principle is often used to make an electric motor by creating a  current that is moving coil into a movable core that is attached to a spring.

If a current flows through a wire, electrical energy is said to be converted into different kinds of energy such as  heat in a heating element, etc. The electric current could also be transformed or made to create a mechanical energy, which is what happens in an electric motor.

A motor is simply known as a generator working in reverse. This can be liken to a motor when a wire is put in between the two paper clips that are connected to the battery.

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A jet plane starts from the rest with an acceleration of 3m/s^2 and makes a run for 35 seconds before taking off. What is the minimum length of the runway and what is the velocity of the jet at takeoff?

Answers

The minimum length of the runway is 1837.5 meters and the velocity of the jet at takeoff is 105m/s.

The minimum length of the runway can be found using the equation for displacement, s = 0.5at², where a is the acceleration and t is the time.

In this case, a = 3m/s² and t = 35 seconds. Plugging in these values gives:
s = 0.5(3m/s²)(35s)²
s = 1837.5m
Therefore, the minimum length of the runway is 1837.5 meters.
The velocity of the jet at takeoff can be found using the equation for velocity, v = at, where a is the acceleration and t is the time. In this case, a = 3m/s² and t = 35 seconds. Plugging in these values gives:
v = (3m/s²)(35s)
v = 105m/s
Therefore, the velocity of the jet at takeoff is 105 meters per second.

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The ratio of force and mass is known as
A. Velocity B. Momentum C. Acceleration D. Displacement

Answers

Answer:

Acceleration

Explanation:

We know that Force = Mass * Acceleration according to the formula.

Divide both sides by “Mass” which leaves us with Force/Mass = Acceleration, in word, it’s ratio of force and mass equals acceleration.

Question 1 of 10
A decorative magnet sticks to a refrigerator door. What are two possible
materials that could be in the door?
A. A magnetic material, such as iron
B. Another magnet
C. Any material used as insulation
D. A ceramic material
please help!!!

Answers

A magnetic material, such as iron are two possible materials that could be in the door. So, the correct option is (A).

What is Magnet?

A magnet is defined as a material or object that produces a magnetic field where the magnetic field is invisible but is responsible for the most notable property of a magnet: a force that attracts metals such as iron, steel, nickel, cobalt, among others. attracts or repels ferromagnetic materials, etc. and other magnets.

Magnet is describe as the object which is capable of producing magnetic field and attracting unlike poles and repelling like poles. When the magnet is dipped in iron filings, we see that the iron filings stick to the ends of the magnet due to magnet attraction being maximum at the ends of the magnet, hence the ends are known as the poles of the magnet .

Thus, a magnetic material, such as iron are two possible materials that could be in the door. So, the correct option is (A).

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If this collision occurs during a time of 0.012 seconds, what is the average force exerted on the ball

Answers

(a) The change in momentum is -12.04 kg-m/s

(b) The force exerted by the bat is 1003.33 N

How to calculate?

The given values are :

The mass of a ball, m = 0.14 kg

Initial speed of the ball, u = 40 m/s

Final speed of the ball, v = -46 m/s

(a) The change in momentum of the ball during the collision with the bat is given by :

Change in P = m(v-u )

Change in P = 0.14(-46-40)

Change in P = - 12.04 kg-m/s

(b) Time for collision, t = 0.012 s

the force can be calculated as follows :

force = Change in P/ t

force = 1003.33 N

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Complete question:

An official major league baseball has a mass of 0.14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.

a) What is the change in momentum of the ball during the collision with the bat?

b) If this collision occurs during a time of 0.012 seconds, what is the average force exerted by the bat on the ball?

A surface has a work function 1. 70 ev and has light of wavelength 400 nm shone on it. What is the kinetic energy of the photoelectrons emitted?.

Answers

The kinetic energy of the photoelectrons emitted is calculated as 2.23 *10^-19 J .

What is meant by photoelectron?

Photoelectrons are the electrons which are produced when energetic photon of radiation strikes a molecule. Photoelectron is an electron ejected from atom, molecule, or solid by an incident photon.

In terms of behavior and properties, photoelectrons are no different from other electrons.

E= h c/λ

= 6.6 *10^-34 * 3 * 10^8/400 * 10^-9

= 4.95 *10^-19 J

Work function = 1.7 eV= 1.7 * 1.6 *10^-19

= 2.72 *10^-19 J

Hence,  kinetic energy of photo electrons emitted will be;

= 4.95 *10^-19 J -  2.72 *10^-19 J

kinetic energy = 2.23 *10^-19 J

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describe the difference between drained and undrained loading as they pertiain

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The difference between drained and undrained loading as they pertiain is drained loading occurs when water can pass through soil and drain out, while undrained loading occurs when the water in the soil can not drain out

The two types of soil loading methods are drained and undrained loading. Drained and undrained loading are two types of soil loading methods. The primary difference between the two is the water flow. When water can pass through the soil and drain out, it is referred to as drained loading. When water is unable to drain out of the soil, it is known as undrained loading.

During drained loading, there is no change in pore water pressure. However, during undrained loading, pore water pressure increases. Drained loading can occur in sandy or well-drained soils, whereas undrained loading can occur in clay or silty soils.

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Dispersion of a particle is the ratio of the number of the surface atoms to the total number of atoms in the particle.
a.) compute the dispersion of i.) a water molecule and ii.) the smallest silicon particle consisting of a silicon atom and its nearest neighbors.
b.) compute the dispersion of a very long single wall carbon nanotube (neglecting end atoms)
c.) calculate the dispersion of a single wall carbon nanotube surrounded by another single wall carbon nanotube.

Answers

a.) Dispersion of water molecule is 1:3 and the dispersion of the smallest silicon particle consisting of a silicon atom and its nearest neighbors is 1:1. b.) The dispersion of very long single-wall carbon nanotube is 1:2. c.) The dispersion of a single-wall carbon nanotube surrounded by another single-wall carbon nanotube is 1:3.

The ratio of the surface atoms to the total number of atoms in a particle is called dispersion. The surface area is important for reactions to take place because the adsorption of particles on the surface is the first step of many reactions. 1:3 is the dispersion of a water molecule.

The dispersion of the smallest silicon particle consisting of a silicon atom and its nearest neighbors is 1:1 because the silicon atom has a total of four neighbors which are all surface atoms, and there are a total of five atoms in the particle.

Neglecting the end atoms, the dispersion of a very long single-wall carbon nanotube will be 1:2. The dispersion of a single-wall carbon nanotube surrounded by another single-wall carbon nanotube will be 1:3.

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is nucleus found in animal cells

Answers

Answer:

yes nucleus is found in plant and animal cells.

Hope this helps :)

A standing wave of the fifth harmonic is induced in a stopped pipe of length 1. 5 m. The speed of sound through the air of the pipe is 340 m/s. How many antinodes form in the standing wave pattern?


A) 5

B) 3

C) 7

D) 6

E) 4

Answers

To find the number of antinodes in the standing wave pattern, we need to find the wavelength of the fifth harmonic. The fifth harmonic has a frequency of 5 times the fundamental frequency, and the fundamental frequency is equal to the speed of sound divided by the length of the pipe. Thus, the wavelength of the fifth harmonic is the speed of sound divided by 5 times the fundamental frequency, which is equal to 340 m/s / (5 * (340 m/s / 1.5 m)) = 0.3 m.

Since the length of the pipe is 1.5 m, and the wavelength is 0.3 m, there will be 1.5 m / 0.3 m = 5 full wavelengths in the pipe. Since there is an antinode at both ends of the pipe, there will be a total of 5 + 2 = 7 antinodes in the standing wave pattern. Therefore, the correct answer is (C) 7.

what did I have for breakfast this morning

Answers

cinnamon toast cruch cereal

when an atom is unstable it will ___ into a new atom

Answers

Answer:

When an atom is unstable it will change into a new atom

I already did part a and the magnitude for all the parts. I need help finding the direction.

I already did part a and the magnitude for all the parts. I need help finding the direction.

Answers

b)

Given that,

A=10 N at 0°

B=20 N at 180°

As we can see these two vectors are in opposite directions.

Thus the resultant vector will be in the direction of the vector with the higher magnitude.

In vector addition we can write,

\(C=10\cos 0^0+20\cos 180^0\)

Where C is the resultant vector.

Thus magnitude of R will be equal to,

\(R=-10\text{ N}\)

The negative sign indicates that the direction of the C is along the negative x-axis.

Thus the magnitude of C is 10 N and the direction of the C is 180°

a)

Given,

A= 10 N at 0°

B=20 N at 0°

The the vector C is

\(C=10\cos 0^0+20\cos 0^0=30\text{ N}\)

The direction of R will be along the direction of these two vectors, as they are in the same direction.

Thus the magnitude of the vector C will be 30 N and the direction of the vector C is 0°

c)

Given,

A=10 N at 180°

B=20 N at 180°

Thus the vector C is

\(C=10\cos 180^0+20\cos 180^0=-30\text{ N}\)

The direction of the vector C will be along the direction of the negative x-axis, as these two vectors are along the negative x-axis.

Thus the magnitude of the vector C is 30 N and the direction of the vector C is 180°

d)

Given,

A= 10 N at 0°

B=20 N at 90°

The x-component of the vector C will be,

\(C_x=10\cos 0^0+20\cos 90^0=10\text{ }\hat{\text{i}}\)

The y- component of C will be,

\(C_y=10\sin 0^0+20\sin 90^0=20\text{ }\hat{j}\)

The magnitude of vector C is given by,

\(\begin{gathered} C=\sqrt[]{C^2_x+C^2_y}_{} \\ =\sqrt[]{10^2+20^2} \\ =22.36\text{ N} \end{gathered}\)

The direction of the vector C will be,

\(\begin{gathered} \theta=\tan ^{-1}\frac{C_y}{C_x} \\ =\tan ^{-1}\frac{20}{10} \\ =63.43^0 \end{gathered}\)

Thus the magnitude of C will be 22.36 N and the direction of C will be 63.43°

e)

Given that

A= 10 N at 90°

B=20 N at 0°

The x-component of the vector C will be

\(C_x=10\cos 90^0+20\cos 0^0=20\text{ }\hat{\text{i}}\)

The y-component of the vector C will be

\(C_y=10\sin 90^0+20\sin 0^0=10\text{ }\hat{j}\)

The magnitude of the vector C will be

\(\begin{gathered} C=\sqrt[]{C^2_x+C^2_y}_{} \\ =\sqrt[]{20^2+10^2} \\ =22.36\text{ N} \end{gathered}\)

The direction of vector C will be,

\(\begin{gathered} \theta=\tan ^{-1}\frac{C_y}{C_x} \\ =\tan ^{-1}\frac{10}{20} \\ =26.56^0 \end{gathered}\)

Thus the magnitude of the vector C will be 22.36 N and the direction of the vector C will be 26.56°

how does earth protect us from higher energy waves such as x-rays and gamma rays

Answers

Answer:

The earth's atmosphere absorbs the majority of ultraviolet, X-, and gamma rays, which are all shorter wavelengths than visible light. High energy X- and gamma rays would damage organisms and cells of creatures if they were to reach the earth's surface directly. Fortunately, the atmosphere protects life on earth.

Explanation:

FILL THE BLANK. the largest daily tidal ranges are associated with _____ tides.

Answers

The largest daily tidal range are associated with spring tides.

The vertical variation in water level between high tide and low tide in a specific coastal area is referred to as tidal range. It illustrates how much the ocean's surface rises and falls as a result of tidal forces. The moon's and the sun's gravitational pull, the coastline's form, the depth of the sea, and the terrain of the area are some of the variables that affect the tidal range. Greater differences between high and low tides occur in coastal locations with a wider tidal range, which causes more daytime changes in water level. Tidal range is important for navigation, coastal habitats, and harnessing tidal energy.


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a typical decibel level for a buzzing mosquito is 40 db, and normal conversation is approximately 50 db. how many buzzing mosquitoes will produce a sound intensity equal to that of normal conversation?

Answers

To determine how many buzzing mosquitoes will produce a sound intensity equal to normal conversation, we need to use the fact that decibels follow a logarithmic scale. The difference in decibels between 40 dB (buzzing mosquito) and 50 dB (normal conversation) is 10 dB.

Since sound intensity doubles for every increase of 10 dB, we can calculate the number of mosquitoes needed to produce a sound intensity equal to normal conversation by using the following equation:10 * log(I1/I2) = 10 dB where I1 is the sound intensity of one buzzing mosquito and I2 is the sound intensity of normal conversation. Simplifying the equation, we get:
log(I1/I2) = 1I1/I2 = 10 I1 = 10 * I2
This means that the sound intensity of one buzzing mosquito is 10 times lower than that of normal conversation. Therefore, we would need 10 buzzing mosquitoes to produce a sound intensity equal to normal conversation.
So, it would take 10 buzzing mosquitoes to produce a sound intensity equal to that of normal conversation.

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suppose that a 50-kilogram cart and a 70-kilogram cart, both traveling at 5 meters per second in opposite directions, collide and stick together. in meters per second with one significant figure, what is the speed of the final composite object?

Answers

The final speed of the composite object is 0.8 m/s.

We can use the law of conservation of momentum, which states that the total momentum of a closed system remains constant. In this case, the initial momentum of the system is,

initial momentum = (50 kg) x (-5 m/s) + (70 kg) x (5 m/s)

= -250 kg m/s + 350 kg m/s

= 100 kg m/s

Since the carts stick together after the collision, their masses add up to give the mass of the final composite object,

mass of final object = 50 kg + 70 kg

= 120 kg

Using the conservation of momentum, we can solve for the final velocity of the composite object,

initial momentum = final momentum

100 kg m/s = (120 kg) x (v) m/s

Solving for v,

v = 0.83 m/s

Rounding off to one significant figure, velocity is, 0.8 m/s.

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