The acceleration due to gravity is 9.81 m/s2, towards the Earth. Rain falling from an altitude of 9,000 m would fall for about 1.5 minutes before hitting the ground (ignoring air resistance). What would be the final speed of a raindrop by the time it reaches the ground?

Answers

Answer 1

Answer:

the final speed of the rain is 541 m/s.

Explanation:

Given;

acceleration due to gravity, g = 9.81 m/s²

height of fall of the rain, h = 9,000 m

time of the rain fall, t = 1.5 minutes = 90 s

Determine the initial velocity of the rain, as follows;

[tex]h = ut + \frac{1}{2} gt^2\\\\9000 = 90u + \frac{1}{2} (9.8)(90)^2\\\\9000 = 90u + 39690\\\\90u = -30690\\\\u = \frac{-30690}{90} \\\\u = -341 \ m/s[/tex]

The final speed of the rain is calculated as;

[tex]v^2 = u^2 + 2gh\\\\v^2 = (-341)^2 + 2(9.8\times 9000)\\\\v^2 = 292681\\\\v = \sqrt{292681} \\\\v = 541 \ m/s[/tex]

Therefore, the final speed of the rain is 541 m/s.

Answer 2

Answer:

The magnitude of the final speed of a raindrop by the time it reaches the ground will be 541.45 m/s.

Explanation:

The final speed of the raindrop can be found using the following equation:

[tex] v_{f} = v_{0} - gt [/tex]

Where:

[tex]v_{f}[/tex]: is the final speed =?

[tex]v_{0}[/tex]: is the initial speed

g: is the acceleration due to gravity = 9.81 m/s²

t: is the time = 1.5 min

First, we need to find the initial speed:

[tex] y_{f} = y_{0} + v_{0}t - \frac{1}{2}gt^{2} [/tex]

Where:

[tex]y_{f}[/tex]: is the final height = 0

[tex]y_{0}[/tex]: is the initial height = 9000 m  

Hence, the initial speed is:    

[tex] v_{0} = \frac{y_{f} - y_{0} + \frac{1}{2}gt^{2}}{t} = \frac{0 - 9000 m + \frac{1}{2}9.81 m/s^{2}*(90 s)^{2}}{90 s} = 341.45 m/s [/tex]

Hence, the final speed is:                            

[tex] v_{f} = v_{0} - gt = 341.45 m/s - 9.81 m/s^{2}*90 s = -541.45 m/s [/tex]

Therefore, the magnitude of the final speed of a raindrop by the time it reaches the ground will be 541.45 m/s.

           

I hope it helps you!                      


Related Questions

Find the acceleration of a 600 kg car that experiences an impulse of 18,000 kgm/s in 0.05 seconds.

I need help with this question, i don’t understand it

Answers

Answer:

what?

Explanation:

Answer:

600m/s²

Explanation:

Given parameters:

Mass of car  = 600kg

Impulse  = 18000kgm/s

Time  = 0.05s

Unknown:

Acceleration  = ?

Solution:

To solve this problem, let us find the force that cause the impact first;

          Impulse  = Force x time

          Force  = [tex]\frac{impulse}{time}[/tex]    = [tex]\frac{18000}{0.05}[/tex]    = 360000N

So;

        Force   = mass x acceleration

         Acceleration  = [tex]\frac{Force }{mass}[/tex]    = [tex]\frac{360000}{600}[/tex]    

         Acceleration  = 600m/s²

A 2.00 kg ball is thrown upward at some unknown angle from the top of a 20.0 m high building. If the initial magnitude of the velocity of the ball is 20.0 m/s. What is the magnitude of the
FINAL VELOCITY when it strikes the ground? (Note: Ignore air resistance.)

Answers

Answer: 28.1

Explanation:

The total energy of the ball is the sum of its kinetic and potential energy. It is equal to 792 J. Then, the final velocity of ball when its strikes the ground is 28.1 m/s.

What is kinetic energy?

Kinetic energy of an object is the energy gained by its motion whereas, potential energy is stored on the object when the object is at rest.

The total mechanical energy of the ball = Ke + Pe

given, mass of the ball = 2 Kg

height h= 20 m

initial velocity = 20 m/s

Then total energy = 1/2 mv² + mgh =  2 kg  [(1/2(20 m/s)² + 9.8 m/s² ×20 m ] = 792 J.

The final velocity Vf = √(2E/m) =√(2×792 J/m)/2 Kg = 28.1 m/s

Therefore, the final velocity of the ball will be 28.1 m/s.

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Scientists have made predictions about the universe today based on the big bang theory. Observations that match these predictions support the big bang theory. Which of the following observations have scientists made that provides evidence of the big bang?

A. Light from the moment of the big bang has been observed.
B. The percentages of hydrogen and helium match the predicted percentages.
C. Galaxies are moving toward each other as predicted by the big bang theory.
D. Many galaxies that are similar to the Milky Way have been observed.

Answers

Answer:

the answer is b

Explanation:

Answer:

b

Explanation:

I just did it on a p e x

Which option best describes electromagnetic waves that have enough energy to change atoms or molecules into ions?

A. Waves with low frequency
B. Ionizing radiation
C. Waves with long wavelength
D. Non-ionizing radiation​

Answers

Answer:

B.Ionizing radiation is the correct answer.

Explanation:

Ionizing radiation has sufficient energy that it can convert atoms and molecules into ions.

It has a sufficient amount of energy that it can separate tightly confined electrons from the orbit of an atom and causing that atom to become ionized.

Answer: lonizing radiation

Explanation:

Got it right

Why do you think spacecraft that carry instruments to collect data about objects in space are called probes?

Answers

Answer:

my mind cant comprehend a shing word u just said

Explanation:

The probes collect data, they capture the movement in space, therefore, spacecraft that carry instruments to collect data about objects in space are called probes, So the given statement is correct.

What are Probes?

Any conductor that is placed into a plasma and gathers current is a probe. Measurements of the current on the probe as a function of the bias potential given to the probe can be used to identify a plasma's properties.

Such probes affect their surroundings while directly detecting electron and ion flows in the plasma. Any conductive material (wire, foil, chamber walls, etc.) can serve as a plasma probe; nevertheless, precise control over the probe's size, shape, and substance is necessary to achieve detectable plasma levels. Astronauts are not present aboard probes. Scientists can analyze the data the probes relay back to Earth. Sputnik 1 was the first spacecraft to launch.

Because probes probably collect data, they capture the movement in space, therefore, spacecraft that carry instruments to collect data about objects in space are called probes.

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C) If your displacement is 19.3m and your final position is 31.8m, what was your initial position?​

Answers

Answer:12.5

Explanation: Subtract

Show the steps im confused.
The answer is 14 m/s

Answers

Answer:

14 m/s

Explanation:

KE=1/2mv^2

5880J= 1/2(60kg)v^2

5880J=(30)(V^2)

5880/30=V^2

196=v^2

square root of 196 is 14

So u divide the mass by two
Then KE/M and square root it
And u should end up with (image)
And solve

I’m not good at explaining
I hope this helps:)

I need help with this asap please!!

Answers

Answer:

9000Ns

Explanation:

Given parameters:

Mass of sled  = 100kg

Net force  = 150N

Time  = 1min  = 60s

Unknown:

Total impulse  = ?

Solution:

The total impulse on the body can be derived using the expression below;

   Impulse  = Force x time

  So;

      Impulse  = 150 x 60  = 9000Ns

The inheritance of genetic traits from parents to children follows predictable rules. Knowing that each parent contributes genes equally to each child, what determines an inherited trait such as eye color? a.Only the interaction between dominant genes. Only the interaction between dominant genes. b.Only the interaction between recessive genes. Only the interaction between recessive genes. c.The interaction between dominant and recessive genes. d.The interaction between dominant and recessive genes. The interaction between dominant and recessive genes does not determine inherited traits. The interaction between dominant and recessive genes does not determine inherited traits.

Answers

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Explanation:

A layer of water Δx m thick which lies x m above the bottom of the tank will be rectangular with length 8 m. Using similar triangles, we can see that it will have widt of_____m

Answers

Answer:

x

Explanation:

The question relates to the energy required to pump water out of the

spout at the top of the triangular prism tank.

The width of the layer of water Δx thick is x m.

Reasons:

The location of the layer Δx m thick = x meters above the bottom

The length of the triangular (cross-section) prism tank = 8 meters

The length of the layer Δx thick layer = 8 meters

From the attached drawing of the cross-section of the tank, we have;

The height of the triangular tank cross-section = 3 meters

The length of the base of the triangular cross-section = 3 meters

By similar triangles, we have;

[tex]\dfrac{Height \ of \ Tank}{Base \ length \ of \ tank}= \dfrac{Height \ of \ layer \ with \ thickness \ \Delta x }{Width \ of \ layer \ with \ thickness \ \Delta x}[/tex]

Which gives;

[tex]\dfrac{3}{3} =\dfrac{x}{Required \ width}[/tex]

[tex]\dfrac{3}{3} =1 = \dfrac{x}{Required \ width}[/tex]

Required width × 1 = x

The required width = x m

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1. If a rock is dropped from a 600 meter cliff, how long will it take to hit the ground?
Dl

Answers

Answer:

11.1s

Explanation:

Given parameters:

Height of cliff  = 600m

Unknown:

How long it takes to hit the ground  = ?

Solution:

To solve this problem, we use one of the kinematics equation;

    H  = ut  +  [tex]\frac{1}{2}[/tex]gt²  

H is the height

u is the initial velocity  = 0m/s

t is the time taken

g is the acceleration due to gravity

             600 = [tex]\frac{1}{2}[/tex] x 9.8 x t²  

              600  = 4.9t²  

                 t²  = 122.5

                 t  = 11.1s

An unknown element has been studied in the lab. It has been shown to be malleable, ductile, and a good conductor of heat. Which element best fits this description?

Answers

Can’t tell ya bud sorry

You work at a retail store. Recently, paychecks have had errors and there have been many employee complaints. You have been assigned to head the team to redesign the payroll software program to solve this problem. Use the drop-down menu to organize the steps you will take in writing the problem statement. Write the new payroll software program. Clearly state the vision of how the stakeholders think things will function with the new payroll system. Ask for stakeholder input on the problem and possible solutions?1.C 2.B 3.A​

Answers

Answer:

C,B,A

Explanation:

Answer:

first one C

second one B

third one A

Explanation:

i hope you have a good day ;0

A rescue pilot drops a survival kit while her plane is flying at an ultitude of 2500m with a forward velocity of 95m. If the air friction is disregarded, how far advance of the starving explorer’s drop zone should she release the package?

Answers

Answer:

Approximately [tex]2.1\; \rm km[/tex], assuming that [tex]g = -9.8\; \rm m \cdot s^{-2}[/tex].

Explanation:

Let [tex]t[/tex] denote the time required for the package to reach the ground. Let [tex]h(\text{initial})[/tex] and [tex]h(\text{final})[/tex] denote the initial and final height of this package.

[tex]\displaystyle h(\text{final}) = \frac{1}{2}\, g\, t^2 + h(\text{initial})[/tex].

For this package:

Initial height: [tex]h(\text{initial}) = 2500\; \rm m[/tex].Final height: [tex]h(\text{final}) = 0\; \rm m[/tex] (the package would be on the ground.)

Solve for [tex]t[/tex], the time required for the package to reach the ground after being released.

[tex]\displaystyle t^{2} = \frac{2\, (h(\text{final}) - h(\text{initial}))}{g}[/tex].

[tex]\begin{aligned} t &= \sqrt{\frac{2\, (h(\text{final}) - h(\text{initial}))}{g} \\ &\approx \sqrt{\frac{2\times (0\; \rm m - 2500\; \rm m)}{(-9.8\; \rm m \cdot s^{-2})}} \approx 22.588\; \rm s\end{aligned}[/tex].

Assume that the air resistance on this package is negligible. The horizontal ("forward") velocity of this package would be constant (supposedly at [tex]95\; \rm m \cdot s^{-1}[/tex].) From calculations above, the package would travel forward at that speed for about [tex]22.588\; \rm s[/tex]. That corresponds to approximately:[tex]95\; \rm m \cdot s^{-1} \times 22.588\; \rm s \approx 2.1 \times 10^{3}\; \rm m = 2.1\; \rm km[/tex].

Hence, the package would land approximately [tex]2.1\; \rm km[/tex] in front of where the plane released the package.

What are some of the similar features of position vs time and velocity vs time

Answers

I agree with the other comment

0.0135 kg of steam at 100°C is
cooled, which turns it into water at
50.0°C. How much heat has been
removed? (Remember, it has to
change phase before cooling
down.)
Boil Pt (°C)
Material Melt Pt (°C) 4 0/kg)
Water
0
3.33.105
L(/kg) c (J/(kg*C))
2.26.106 4186
100
(Unit = J)

Answers

Answer:

33333.35 kg

Explanation:

I got it right on Acellus, rounded to 33300 sigfigs

When 0.0135 kg of steam at 100°C is cooled, turns it into water at 50.0°C. Then 33,342.45 J of heat has been removed.

What is latent heat?

Latent heat is the heat absorbed or released by a substance during a change in its physical state without a corresponding change in temperature. This means that the heat energy is being used to break or form intermolecular bonds between the particles in the substance, rather than raising or lowering the temperature. Examples of processes that involve latent heat include melting, freezing, vaporization, and condensation. The amount of heat required or released during these phase transitions is dependent on the substance and the amount of material undergoing the change.

Here in the question,

To solve this problem, we need to use the formula for the heat required to change the phase of a substance, which is given by:

Q = m * L

where Q is the heat required, m is the mass of the substance, and L is the specific latent heat of the substance.

In this case, we need to find the heat required to change 0.0135 kg of steam at 100°C to water at 100°C, and then cool it down to 50°C.

First, we need to find the heat required to change the phase of the steam to water at 100°C. Using the table given, we can see that the specific latent heat of vaporization for water is 2.26 × 10^6 J/kg. So the heat required to change 0.0135 kg of steam to water at 100°C is:

Q1 = m * L = 0.0135 kg * 2.26 × 10^6 J/kg = 30,510 J

Next, we need to find the heat required to cool the water from 100°C to 50°C. Using the specific heat capacity of water, which is 4186 J/(kg°C), we can calculate the heat required as:

Q2 = m * c * ΔT = 0.0135 kg * 4186 J/(kg°C) * (100°C - 50°C) = 2832.45 J

The total heat removed is the sum of the heat required to change the phase of the steam and the heat required to cool the water:

Q = Q1 + Q2 = 30,510 J + 2832.45 J = 33,342.45 J =33.34245 kJ.

Therefore, 33,342.45 J of heat has been removed.

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The total amount of carbon dioxide in the atmosphere is estimated to have decreased by 10 to 15 percent since 1900.


True False

Answers

Answer: False

Explanation:  

Plss help with my science

Answers

Answer:

rotates, axis,not sure,day, not sure, night, revolves, not sure, hemisphere, towards, summer, away, winter

Explanation:

At what point in this sequence of events is potential energy
being converted to kinetic energy?
A. When the spring is recoiling B. When the spring is fully stretched. C. When the spring is fully recoiled. D. When the spring is stretching

Answers

Answer:

your answer is C

Explanation:

the spring when fully recoiled is at maximum PE and will then convert to KE

Is gravitational energy a form of kinetic energy or potential energy? Why do you think that?

Please help due today!!​

Answers

Answer:

When something is lifted, work is done on the object against the pull of gravity. This work is converted to a form of potential energy called gravitational potential energy. When the item falls towards Earth like an apple from a tree, gravitational potential energy is converted into kinetic energy.

Which situations will NOT increase the reactions rate of most chemical reactions?

A) an increase in temperature

B) grind up the solute to increase surface area before mixing

C) by increasing the pressure in which the reaction takes place


D) decreasing the concentrations of the substances in the reaction

Answers

Answer:

D

Explanation:

Increasing temperature or pressure some times make the condition favorable to the reaction. Similarly increasing surface area  of reacting mixture also helps to increase the reaction rate.

What is reaction rate ?

The rate of  a reaction is the rate of decrease in concentration of reactant or the rate of increase in concentration of the products. The rate of a reaction depends on several factors such as temperature, pressure, surface area etc.

Fir an endothermic reaction, as the temperature increases, reaction rate increases. Similarly, as the pressure increases, the reaction in which the number of moles of gaseous reactants is higher than that in products, rate increases.

The concentration of reactants must be sufficient for the reaction and decreasing the concentration of reactants does not favor an increase in reaction rate. Hence, option D is correct.

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How far will a car travel in half an hour at
30 mph?

Answers

15miles, if it is going 30 miles per hour, and you drive for half an hour, you drive 15 miles

Answer:

The car will travel the distance of 15 miles

S= D/T

therefore

D=ST

D = Distance

S = Speed (30 mph)

T = Time (0.5 Hours)

D = 30 * 0.5 = 15

Explain the Difference between genetic diversity and ecosystem diversity?

Answers

Answer:

1. Genetic diversity are the differences in DNA among individuals within a species or population while ecosystem diversity is the number or variety of ecosystems within a particular area.

2. Genetic diversity is the genetic material of microorganisms,  plants and animals contains information that  determines the characteristics of all species and  individuals that make up the diversity of the living  world while the ecosystem diversity is the enormous range of terrestrial and  aquatic environments on earth has been classified into a number of ecosystems.

Refer to your Expeditions in Reading book for a complete version of this text.

Based on “Solar Power for Public Buildings,” which answer best states the author’s position on the use of solar power in California?


A The use of solar energy will double the pollution produced in California.

B The state’s tap water will be purer if processed in solar-powered plants.

C Increasing the use of solar power will positively impact the environment.

D Solar panels remove most of the toxic chemicals found in the atmosphere.

Answers

Answer:

d

Explanation:

Answer:

D. Solar panels remove most of the toxic chemicals found in the atmosphere.

People do not believe it is possible to use the sun's energy to create electricity.

Explanation:

I did the test.

help me!
Bill left a hammer out in the rain all day. The next morning it had rust on it.
Oxygen and a metal chemically combine to form rust. What is rust an example of?
O a mixture
• a solution
an element
a compound

Answers

It is a compound yep

Answer:D.Compound

Explanation: internet

The primary job of a(n) ____
is to increase the power of a modified radio wave.

Answers

The primary job of a(n) ____

is to increase the power of a modified radio wave.

Answer:

amplifier

Explanation:

Hope it helps:)

#CarryOnLearning

Answer: Amplifier

Explanation: Edge 2021

Have a great day :D

What are two main types of exercise???

Answers

Answer:

Endurance exercise and Strength exercise

Explanation:

Answer:

Aerob exercise and strength exercise

Explanation:

Which part of the electromagnetic spectrum is nearest to radio waves?

X-rays
microwaves
gamma rays
ultraviolet light

Answers

Answer:

i believe it is the microwaves that is closest to the radio waves.

Explanation:

The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.

What is meant by electromagnetic spectrum?

The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).

Here,

The visible light from a bulb in your home and the radio waves from a radio station are two examples of electromagnetic radiation. Radiation is energy that travels and disperses as it does.

The properties of the electromagnetic spectrum include the ways in which signals can propagate and how much data they can carry. Signals delivered at higher frequencies typically propagate more quickly but can carry more data in a given amount of space.

The electromagnetic spectrum begins with the lowest frequency radio waves and moves up in frequency and down in wavelength from there. Radio waves are followed by visible light, infrared radiation, and lastly microwaves.

Hence,

The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.

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HELPPPPPPP!!!!!

why are cations drawn towards cathode and anions towards anode?​

Answers

Explanation:

Cations are positive and anions are negative, since opposite charged attract, the cations are drawn towards the cathode, which is the negatively charged electrode and anions are drawn towards the anode (positive electrode)

Answer:

because cations are negatively charged particles and their attracted towards a positive electrode that is anode while anions and positively charged particles and I attracted towards the negative electrode that is cathode

Explanation:

What type of cells provide humoral immunity ?

Answers

Answer:

Antibody molecules that are secreted by plasma cells mediate the humoral immune response. The antigen that binds to the receptor of the B-cell antigen signals B cells and is internalized and transformed into peptides that activate the armed helper at the same time.

Explanation:

Answer:

B cells

Explanation:

Humoral immunity or humoural immunity is the aspect of immunity that is mediated by macromolecules found in extracellular fluids such as secreted antibodies, complement proteins, and certain antimicrobial peptides. Humoral immunity is named so because it involves substances found in the humors, or body fluids. It contrasts with cell-mediated immunity. Humoral immunity is also referred to as antibody-mediated immunity.

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