Which of the following is a natural resource for humans?
O Cars
O Electricity
O Houses
O Wood

Which Of The Following Is A Natural Resource For Humans?O CarsO ElectricityO HousesO Wood

Answers

Answer 1

Which of the following is a natural resource for humans?

O Cars

O Electricity

O Houses

O Wood

Answer 2

Wood

Answer:

wood is a natural resources to man because it is not created by man


Related Questions

Unbalanced forces have no change in motion and ______ equal zero



just need the answer that fills the blank space plsss

Answers

Answer

due to balanced forces, an object in motion cannot change its direction or speed, and also the net forces act a zero in balanced forces.

Explanation:

Unbalanced forces have a change in motion and they have a resultant force in a direction. Whereas, a balanced force does not change in direction and the resultant force is zero.

What is force?

Force is an external agent acting on  a body to make it changed in its state of motion or rest or to deform it. There are various kinds of forces such as magnetic force, nuclear force, gravitational force, frictional force etc.

If there are two or more forces acting on a body from the same direction, then the net force will be the sum of all the forces. If the two forces are equal in magnitude and if act from the opposite directions they will cancel each other and will not make a displacement. Such forces are called balanced forces.

The imbalance in force on a body is made by the change in direction or in magnitude of the forces. Then there will be a net force and will make the body a change in its motion.

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5. Refer to Model 3. What is the relationship between the frequency of electromagnetic radiation and the
wavelength of electromagnetic radiation? Cite numerical evidence to support your answer. Need this ASAP

Answers

Answer:

The frequency and wavelength of electromagnetic radiation are inversely related.

Explanation:

Frequency and wavelength are inversely proportional. Theoretically, they are governed by [tex]\lambda * f = v[/tex], where lambda represents the wavelength, f represents the frequency, and v represents the speed of a wave. In this case, we can empirically notice from model 3 that as the wavelength increases(i.e., we move to the right of the electromagnetic radiation spectrum), the frequency decreases and vice versa. For example, long radio waves have a very high wavelength and a low frequency, whereas gamma rays(on left) have very high frequencies and low wavelengths. Thus, we can conclude that they are inversely related.

Mike runs 400 m at track race in 58 seconds. What is his velocity?

Answers

Answer:6.897m/s

Explanation: velocity is the change of distance with time in a specified direction.

therefore to find velocity divide distance given by Time

V=distance/time

  =400m/58s

  =6.897m/s

What is this formula in full words:

W=MxG=W on X Planet

Answers

Answer:

Weight = Mass × Gravity ( = Weight )

Explanation:

I'm not really sure why it says = W two times but anyways:

W is used to represent the weight of something

M is used to represent the mass of something

G is used to represent gravity ( in simple terms )

G more specifically means gravitational acceleration

Note: W can also mean watt but in this case it means weight

:)

In an insulated vessel, a quantity of hot water at temperature T1 is mixed with a different quantity of cold water at temperature T2. After equilibrium is established, the vessel contains __________.
water only

Answers

An insulated vessel containing a quantity of hot water at temperature T₁  mixed with different amounts of cold water at temperature T₂, After equilibrium is established the vessel contains water at a mixture temperature between T₁ and T₂.

What is thermal equilibrium?

Thermal equilibrium is a state reached by two (or more) systems characterized by limited coordinate values of the systems after the systems interact with each other through the diathermic wall.

When hot water and cold water are mixed, heat will flow from hot water (higher temperature) to cold water (lower temperature). In other words, hot water "gives" heat to cold water or cold water "receives" heat from hot water.

The direction of heat transfer is from an object or place with a higher temperature to a place with a lower temperature. Temperature transfer occurs until temperature equality is achieved between the two objects.

Hot water has a higher temperature than cold water, so heat moves from hot water which provides heat, to cold water which absorbs heat.

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PLEASE HELP? The mass on the spring in this diagram is in harmonic motion between x=-5cm and x=5cm. At what point does the mass have the most kinetic energy?

Answers

The point where the mass have the most kinetic energy is point zero (0).

option C is the correct answer.

What is kinetic energy?

The kinetic energy of an object is the energy possessed by the object due to its motion.

Mathematically, the formula for kinetic energy of an object is given as;

K.E = ¹/₂mv²

where;

m is the mass of the objectv is the speed of the object

In a simple harmonic motion, the kinetic energy of the object increases as the speed of the object increases.

At maximum displacement of an object under going simple harmonic motion, the potential energy of the object is maximum while the kinetic energy is zero.

At minimum displacement or half of the maximum displacement, the kinetic energy of the object is maximum while the potential energy of the object is zero.

(-5)-------------------0-----------------------(+5)

Kinetic energy energy of the object at the various positions;

-5 is maximum displacement, hence kinetic energy is zero0 is the minimum displacement or half of the two maximum displacement; hence kinetic energy is maximum5 is maximum displacement, hence kinetic energy is zero

Thus, option C is the correct answer because position zero (0) is the half or center of the two maximum displacement positions.

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a 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t

Answers

The average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about b. 10000N

As is visible from the graph

the velocity of the space probe at t = 0 sec

v₁ = 5000 m/s

the velocity of the space probe at t = 100 sec

v₂ = 0 m/s

therefore, average negative acceleration = v₂ - v₁ / t

= 0 - 5000 / 100 m/s²

therefore average force exerted on the probe

F = ma = 200 × 50 N

= 10000N

hence the average force is 10000N

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(complete question)

A 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about... A) 2 800 N B) 10 000 N C) 145 000 N D) 29 000 000 N

During each heartbeat, approximately 73 cm^3 of blood is pushed from the heart at an average pressure of 105 mm-Hg. Calculate the power output of the heart, in watts, assuming 70 beats per minute.

Answers

The heart's power output , based on an assumption of 70 beats per minute, is 0.93W. An average of 105 mm-Hg of pressure is used to push out 73 cm3 of blood throughout each heartbeat.

Power is the quantity of energy that is transported or transformed per unit of time in physics. The average blood pressure is 105 mm Hg, or 70 beats per minute, or 1.16 beats per second (1 mm Hg = 133 N/m2), depending on the number of heartbeats per minute.

Power output is given by the formula P =nW,

where n =heart rate work done is given by the formula

W = =pAd =pV,

therefore W =pV.

derived from equations (1) and (2), P =nPV = ((70/60)beats/s)(105133 N/m2)(7310-6m3)

P = 0.93 W for power output

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A typical ceiling fan running at high speed has an airflow of about 1.25 ✕ 103 ft3/min, meaning that about 1.25 ✕ 103 cubic feet of air move over the fan blades each minute.

Answers

The speed of 1.25 ×10³ ft³/min of the airflow is equivalent to 0.56 m³/s.

What is speed?

The speed of a moving body can be defined as a measurement of how quickly the distance a body traveled changes with time. Speed is defined as a scalar parameter as it exhibits magnitude but no direction.

A body that travels faster and with high speed, can travel a lot of ground in a lesser time.

Given, the speed of the airflow of the fan = 1.25 ×10³ ft³/min

We have to express the  ft³/min  into  m³/s:

We know that 1 foot = 0.3 m  and 1 min = 60 s

1.25 ×10³ ft³/min  = 1.25 ×10³ (0.3 m)³/ 60 s

1.25 ×10³ ft³/min  = 0.56 × 10³ ×10⁻³ m³/s

1.25 ×10³ ft³/min  = 0.56 m³/s

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a nurse is teaching the guardian of an infant who has congestive heart failure about methods to preserve energy during bottle feeding. Which of the following statements by the guardian indicates a clear understanding of the teaching? a. I will feed my baby every 2 hours b. I will allow my baby to suck for 45 minutes during each feeding c. I will use a low-calorie formula for my baby's feeding d. I will stroke my baby's cheek during feeding 6

Answers

1) Babies with congenital heart disease and congestive heart failure tend to tire very quickly, making breastfeeding difficult. It is represented by the suck, rest, suck cycle, which is equivalent to dyspnea on exertion in adults. Since the baby cannot suck for a long time and is very tired for some time after sucking, the feeding is not maintained well and the baby does not gain weight and manifests as stunted growth. To do so, you need to feed your child more often. The nurse tells the patient to breastfeed more often, usually every two hours. This ensures that the child is well fed and also allows the child to wake her up every two hours to breastfeed at night. Bottle feeding is done in a similar way.

Breastfeeding is usually 8-12 times a day, and if the child has at least 6-8 wet diapers and is consistently gaining weight, breast milk or bottle feeding should be sufficient. can be assumed to exist.

Do not breastfeed for a long time at a time as this will tire your baby.

When using formula foods, high calorie foods should be used so that children can get more energy with less effort.

2) frequent negative responses.

A 2 year old child usually demands too often for  things and they want what they want when they want .

It's also an age when they understand themselves as different individuals. They become less dependent more emotionally labile and  may give frequent negative responses.

3) I should limit the use of fingers of broken arm .

Broken arms are splinted so that they get adequate rest to to heal the fracture and wound.

The use of the particular arm have to be reduced.

It is usuall to have a mild swelling of the fingers for initial some days but it should not last for longer.

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What is ay or g for any projectile?

Answers

Answer: Negative

Explanation: The acceleration along the y-axis for any projectile motion will always be -9.8m/s^2.

A box of mass m slides down a frictionless inclined plane of length L and vertical height h. What is the change in its gravitational potential energy?
A. -mgL
B. -mgh
C. -mgL/h
D. -mgh/L

Answers

The change in its gravitational potential energy is -mgh and Gravitational potential energy depends on the reference level.

The gravitational force is of course vertically downwards F = mg . To raise a mass m, we must apply an upward force −F, balancing gravity, so the net force on the body is zero and it can move upwards at a steady speed (ignoring air resistance, of course, and assuming we gave it a tiny extra push to get it going).

Applying the steady force −F as the mass moves a small distance takes work − F.Δr , and to raise the mass m through a height h takes work mgh. This energy is stored and then, when the object falls, released as kinetic energy. For this reason it is called potential energy, being “potential kinetic energy”.

That depends on how far we will allow the raised object to fall and convert its potential energy to kinetic energy—but the main point is it doesn’t matter where the zero is set, the quantity of physical interest is always a difference of potential energies between two heights—that’s how much kinetic energy is released when it falls from one height to the other.

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an athlete of mass 50 kg runs up a hill the foot of the hill is 400m above sea level. by how much potential does the athletes gravitational potential energy increase? (Acceleration due to gravity g=10 m/s2

Answers

The potential of the athletes gravitational potential energy during running up a hill increases by 245000 Joules.

What is the gravitational potential energy?

The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy. Because of the Earth's gravitational pull on the object, the energy is stored.

The relationship between mass, gravity, and change in height is defined mathematically. The formula is used to calculate it is:

PE = m × g × h

Here, it is given that-

The mass of the athlete = 50 Kg

The Initial height, h1 = 400 m

The final height, h2 = 900 m

Firstly, gravitational potential energy is calculated when athlete is at a height of h1 that is 400 m. On the putting the given values in the formula-

PE1 = 50 × 9.8 × 400

PE1 = 196000 Joules

Next, we will calculate the gravitational potential energy when athlete is at a height of h2 that is 900 m. By putting the values in the formula, we get-

PE2 = 50 × 9.8 × 900

PE2 = 441000 Joules

Now, to calculate the increase in gravitational potential energy when athlete runs up a hill from a height of 400m to 900m we can subtract the potential energies-

Potential by which athlete's gravitational potential energy increases = PE2 - PE1 = 441000 - 196000 = 245000 Joules or 245 kilo joules

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The complete question is:

An athlete with a mass of 50 kg runs up a hill. The foot of the hill is 400 m above sea level and the summit is 900 m above sea level. Calculate by how much the athlete's gravitational potential energy increases.

While running up a hill, an athlete's gravitational potential energy increases by 245,000 joules.

How much energy does gravity potentially hold?

Gravitational potential energy is the amount of energy an object may hold depending on its height or vertical position. The energy is trapped by the gravitational pull of the Earth on the object.

Mathematical formulas are used to define the relationship between mass, gravity, and height change. It is calculated using the following formula:

PE = m × g × h

It is said here that-

The athlete weighs 50 kg.

Initial height, 400 m (h1)

H2 = 900 metres is the final height.

First, the athlete's gravitational potential energy is determined when they are 400 metres above the ground (h1). Upon entering the specified values into the formula:

PE1 = 50 × 9.8 × 400

196000 Joules for PE1.

The gravitational potential energy for an athlete at a height of h2 of 900 m will then be determined. When we enter the values into the formula, we obtain:

PE2 = 50 × 9.8 × 900

PE2 equals 441,000 Joules

Now, we can subtract the potential energies to determine the increase in gravitational potential energy that occurs when an athlete sprints up a hill from a height of 400 to 900 metres.

PE2 - PE1 = 441000 - 196000 = 245000 Joules, or 245 kilojoules, is the potential by which an athlete's gravitational potential energy increases.

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A body of mass 1 kg has weight 10N at a certain place. What is the weight of 100g, ​

Answers

Hello,

I hope you and your family are doing well!

The weight of an object is the force exerted on the object due to gravity, and it is calculated as the mass of the object multiplied by the acceleration due to gravity. In this case, we are given that the weight of a 1 kg mass is 10 N at a certain place, which means that the acceleration due to gravity at that place is 10 N/kg.

If we want to find the weight of a 100 g mass at that place, we can use the same equation:

Weight = Mass * Acceleration due to gravity

In this case, the mass is 100 g, which is equivalent to 0.1 kg. Therefore, the weight of the 100 g mass is:

Weight = (0.1 kg) * (10 N/kg)

= 1 N

Thus, the weight of a 100 g mass at the given place is 1 N.

--

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Happy Holidays!

What is wavefonts ?
Hi​

Answers

I think you meant wavefronts. Wavefronts are a useful way of picturing waves from above. Each wavefront is used to represent a single wave. This is basically a representation form of waves. You can identify many features of the waves according to the wavefronts. For instance, the space between each wavefront represents the wavelength; the shorter the space between lines, the shorter the wavelength.

accelerat
ion due to gravity and radius of gyrations experiment table​

Answers

The acceleration due to gravity is the acceleration gained by an object due to gravitational force.

What is acceleration due to gravity?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. Its vector nature which includes both magnitude and direction makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s².

The distance a body's entire mass can be concentrated without changing its moment of rotational inertia about an axis through its center of mass is known as the radius of gyration.

Note that your information was incomplete and an overview was given.

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why do living organisms release radiation

Answers

To maintain constant body temperature, living organisms release heat radiation.

What is the process of release heat radiation by living organisms?

Life is dependent on homeostasis, which is the preservation of stable internal conditions, in warm-blooded animals. The consistent body temperature is one of homeostasis's signs. Depending on the species, this temperature for animals should range from 35 to 39.5 °C.

A portion of the heat generated in cells during breathing must be expelled in order to maintain a steady body temperature. Living things can lose heat through convection, conduction, radiation, and the loss of water through breathing and sweating (2260 KJ/Kg is the heat at which water vaporises). Imperceptible sweating and perceptible sweating are the two types of sweating that exist. The body naturally experiences unnoticeable sweating throughout the day.

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can anyone help me with this question:
a swimmer swims at 5m/s. How long would it take to swim 5 laps of a 50m pool

Answers

Answer:

Time=Distance÷Speed

Time=250m(50m×5)÷5m/s

Time=50s

A 2.0 kg block slides on a frictionless 15° inclined plane. A force parallel to the inclined plane is applied to the block. The acceleration of the block is 1.5 m/s? downhill. What is the applied force?

Answers

The applied force on the block sliding on the frictionless inclined plane is 1.9 N.

What is friction?

Friction is the force that opposes the sliding or rolling motion of one body relative to another. For example, when you want to stop or slow down, you use your car's brakes because the friction created between the brakes and the wheels slows down or stops the car.

The unevenness of the two contact surfaces creates friction. When an object rides on another object, the surface irregularities become entangled and friction occurs. The rougher the surface, the more irregularities there are, and the greater the friction.

Equation of motion along an inclined plane:

Fₙ = (m×g×sinθ) - (m×a)

Where, Fₙ = applied force

m = mass of the block (2.0 kg)

g = gravitational acceleration (9.8 m/s²)

a = acceleration (1.5 m/s²)

θ = inclination of plane (15°)

Fₙ = (2 × 9.8 × sin15) - (2 × 1.5)

Fₙ = (19.6 × 0.25) - 3

Fₙ = 4.9 - 3

Fₙ = 1.9 N

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The setup time of a clocked flip-flop is:
A) The minimum amount of time that an input must remain stable after an active clock
transition.
B) The maximum amount of time that an output must remain stable after an active clock
transition.
C) The minimum amount of time that an output must remain stable before an active clock
transition.
D) The minimum amount of time that an input must remain stable before an active clock
transition.

Answers

The setup time of a clocked flip-flop is:

The minimum amount of time that an output must remain stable before an active clock transition.

What is a Flip flop ?

A flip-flop is a device that can hold a single bit of data (a binary digit); one of its two states corresponds to a "one," and the other to a "zero." Such data storage can be used to store state, and in electronics, such a circuit is known as sequential logic.

The output state changes of a timed flip-flop can be synced to a clock pulse thanks to an additional input.

Data must be at a valid logic level at setup time (tS), which is defined as the time before the DAC clock shift.

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a student performs a standard two-slit interference experiment, and the interference pattern is projected on a screen. using a light sensor, the intensity of the pattern is measured, and a plot of intensity versus position is created.

Answers

The intensity of the pattern is measured, and a plot of intensity versus position is A) - 40 cm , + 40 cm , - 10 cm , 0.0 cm , + 30 cm , - 30 cm

A) - 40 cm , + 40 cm , - 10 cm , 0.0 cm , + 30 cm , - 30 cm

B) - 5cm, +5cm, -15cm, +15cm, -25cm, +25cm, -35cm, +35cm, -45cm, + 45cm

C) 0.0 cm

D) -40 cm, + 40cm

E) -25cm, + 25cm.

Intensity is the amount of energy a wave transports in one unit of area per unit of time and is also equal to the energy density multiplied by the wave velocity. Usually measured in watts per square meter. Intensity depends on wave strength and amplitude.

Wave strength is defined as the speed at which a wave transfers energy divided by the area over which the energy travels. In other words, intensity is the rate of energy flow per unit area. The term intensity is used to describe the speed at which light travels across a given area of ​​the surface at some distance from the light source.

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A net force of 140 Newton's is applied to a wagon for 10 seconds. This causes the wagon to undergo a change of momentum of

Answers

When a net force of 140 Newton's is applied to a wagon for 10 seconds, this causes the wagon to undergo a change of momentum of  1400 Newton-second.

What is momentum?

momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

Given that:

Net force acting on the wagon: F = 140 Newton.

Time duration: t = 10 seconds.

According to Isaac Newton's second equation of motion:

Force acting on the wagon = change in momentum/time duration

Change in momentum =  Force acting on the wagon × time duration

= 140 × 10 Newton-second.

= 1400 Newton-second.

Hence, The wagon  undergoes a change of momentum of 1400 Newton-second.

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what part of the process of star birth did you find most counterintuitive and why?​

Answers

Answer: how long it took.

Explanation: i know nothing is really instant, but its ridiculous that it took over 1.6 million years for the temperature to drop to a thousand degrees after the big bang expansion. and then even after that, it took millions of years to make the first one. regardless, it is still incredible.

Clancy has set up a pulley system to lift a 1400 N air conditioner 9.1 m up. The pulley system is 68% efficient. If Clancy has to exert a force of 110 N, how much rope will he have to pull to lift the air conditioner?

Answers

Answer:

Explanation:

Given:

F₁ = 1400 N

D₁ = 9.1 m

η = 68%;    η = 0.68

F₂ 110 N

__________

D₂ - ?

If the pulley system is 100% efficient:

D₂'  = F₁·D₁  / F₂ = 1400·9.1 / 110 ≈ 115.8 m

If the pulley system has the code 68% :

D₂ = D₂' / η = 115.8 / 0.68 ≈ 170 m

A stone is thrown horizontally from a vertical cliff at a speed of 20 meters per second. The cliff is 30 meters above sea level and the
stone hits the sea after 2.5 seconds.
How far from the base of the cliff is the stone when it hits the sea? (g = 10 m/s)
1.5 POINTS

Answers

Refer to the photo taken.

Answer:

Below

Explanation:

Find out how long it takes to fall the 30 m ....then use this time and the horizontal velocity to find the answer

For vertical :   d = 1/2 a t^2

                      30 = 1/2 (10) t^2      so t = sqrt 6

Horizontal velocity * time = distance from cliff base

          20 m/s   *   sqrt 6 = 48.99 = ~ 49 meters

     

In the circuit below, identify how the resistors are connected and then identify the quantity that must always be the same for these resistors.

Answers

In the circuit below, the resistors are connected in the series combination and the battery is parallel to the resistor.

What is circuit?

Circuit is defined as a closed circuit or route that connects electrical parts and permits the movement of electrons.  The term "circuit" can broadly be used to describe any ongoing path via which electricity, data, or a signal might go.

The current flowing through each resistor when two resistors are linked in series is the same. The two resistors divide the voltage from the battery. More resistors in a series circuit increase total resistance, which reduces current.

Thus, in the circuit below, the resistors are connected in the series combination and the battery is parallel to the resistor.

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Specify the SI unit for the penetration coefficient of ultrasonic waves:
m-1
m/s
non-dimensional quantity

Answers

The penetration coefficient of ultrasonic waves be non-dimensional quantity. So, this has no unit.

What is penetration depth?

The depth to which light or any other electromagnetic radiation may permeate a material is known as the penetration depth. It is defined as the depth at which the radiation's internal intensity reaches 1/e (or, more precisely, just below) its initial value at (or just below) the surface.

The atoms and electrons inside the substance interact with this electromagnetic field. The electromagnetic field may penetrate a material very deeply or may disappear very fast, depending on the nature of the material. The depth of penetration for a given substance is typically a function of wavelength. So, the penetration coefficient of ultrasonic waves: non-dimensional quantity. So, this has no unit.

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What BEST describes the process that happens when water evaporates from a lake?

A. As water evaporates from a lake, it becomes a gas that spreads throughout the air. This
gas sometimes cools as it rises, condenses, and helps form clouds.
B. As water evaporates from a lake, it becomes tiny droplets of liquid water that rise to
form clouds.
C. As water evaporates from a lake, it becomes tiny droplets of liquid water. When
these droplets reach a specific height, they fall back to Earth in the form of rain.
D. As water evaporates from a lake, it becomes a gas that moves directly into clouds
without ever being part of the air outside of the clouds.

Answers

The statement that best describes the process that happens when water evaporates from a lake is as follows: As water evaporates from a lake, it becomes a gas that spreads throughout the air. This gas sometimes cools as it rises, condenses, and helps form clouds (option A).

What is evaporation?

Evaporation is the process in which all or a portion of liquid (in a container) is turned into vapour, in order to increase the concentration of solid matter in the mixture.

Evaporation is the process that changes liquid water to gaseous water (water vapor). Water moves from the Earth's surface to the atmosphere via evaporation.

Evaporation occurs when energy (heat) forces the bonds that hold water molecules together to break. Condensation is the direct opposite of evaporation and is the process whereby water vapor (gas) turns back into liquid water.

Condensation occurs when saturated air is cooled, such as on the outside of a glass of ice water. Therefore, option A is what occurs when evaporation occurs in a lake.

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(10.6) A Hubble constant of 50 km s−1 Mpc−1 corresponds to a Hubble time of about 20 billion years.
What would be the Hubble time for a Hubble constant of 100 km s−1 Mpc−1? 75 km s−1 Mpc−1?
If the rate of expansion of the universe is slowing
down with time, will the Hubble time over- or underestimate the age of the universe?

Answers

The Hubble time for a Hubble constant of 100 km/s.Mpc would be equal to 10  billion years.

What is Hubble’s Law?

Hubble’s law can be described as the velocity of the galaxy, which is called the redshift, is directly proportional to its distance.

Hubble time can be described as the age taken by the universe to expand if the expansion was linear. Hubble time is dependent on the dimensionless factor, mass, and energy of the universe.

Hubble time for the Hubble constant is given as follows:

[tex]{\displaystyle t_H =\frac{1}{H_o}[/tex]

Given the Hubble constant, H₀ = 100 Km/s.Mpc

[tex]{\displaystyle t_H =\frac{1}{H_o} =\frac{1}{100}\times 3.16 \times 10^{19}[/tex]

[tex]{\displaystyle t_H =3.16 \times 10^{17}s[/tex]

[tex]{\displaystyle t_H =\frac{3.16 \times 10^{17}s}{3.16\times 10^{7}}[/tex]

[tex]{\displaystyle t_H = 10^{10}\;years[/tex]

[tex]{\displaystyle t_H = 10 \; billoin \; years[/tex]

Therefore, the Hubble time for a Hubble constant of 100 km/s Mpc is 10 billion years.

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The density of water in a lake is 1000 kg/m³
At a depth of 25m beneath the surface of the lake, the total pressure is 3.5×10⁵ Pa
(a) State what is meant by pressure.
(b) The gravitational field strength is 10 N/kg
. Determine:
(i) the pressure due to 25m of water
pressure =
(ii) the atmospheric pressure=____
atmospheric pressure =_____

Answers

(i) The pressure due to 25m of water is 250,000 Pa.

(ii) The atmospheric pressure is 100,000 Pa.

What is pressure?

Pressure can be defined as the force per unit area of an object.

Mathematically, the formula for pressure of an object is derived as;

P = F/A

where;

F is the applied force on the objectA is the area of the object

P = (mg) / (V/h)

P = (mgh) / V

P = (m/V)gh

where;

m is massV is volume of the objectg is acceleration due to gravityh is height or depth

Density of an object or a substance is known as mass per unit volume of the substance.

P = (ρ)gh

where;

ρ is the density

The pressure due to 25m of water is calculated as follows;

pressure = (ρ)gh

pressure = 1000 kg/m³   x   10 N/kg    x    25 m
pressure = 250,000 Pa

The atmospheric pressure is calculated as;

P(atm) = P(total) - P(water)

P(atm) = 350,000 Pa  -  250,000 Pa

P(atm) = 100,000 Pa

Learn more about pressure here: https://brainly.com/question/25736513

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