Answer:
a) The acceleration of the sprinter is 6.521 meters per square second, b) The acceleration of 84512.16 kilometers per square hour.
Explanation:
Note: Statement is incomplete, complete description of the problem is: A sprinter accelerates from rest to [tex]9.00\,\frac{m}{s}[/tex] in 1.38 seconds. What is his acceleration in a. [tex]\frac{m}{s^{2}}[/tex] and b. [tex]\frac{km}{h^{2}}[/tex]?
a) We assume that sprinter accelerates uniformly, so that acceleration ([tex]a[/tex]), measured in meters per square second, can be obtained from this kinematic expression as function of initial and final velocities ([tex]v_{o}[/tex], [tex]v[/tex]), measured in meters per second, and time ([tex]t[/tex]), measured in seconds, as well.
[tex]v = v_{o} + a\cdot t[/tex]
[tex]a = \frac{v-v_{o}}{t}[/tex]
If we know that [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v = 9\,\frac{m}{s}[/tex] and [tex]t = 1.38\,s[/tex], the acceleration experimented by the sprinter is:
[tex]a = \frac{9\,\frac{m}{s}-0\,\frac{m}{s} }{1.38\,s}[/tex]
[tex]a = 6.521\,\frac{m}{s^{2}}[/tex]
The acceleration of the sprinter is 6.521 meters per square second.
b) If we know that a hour is equivalent to 3600 seconds and a kilometer is equivalent to 1000 meters, the result of the previous item is converted by using two consecutive unit conversions:
[tex]a = \left(6.521\,\frac{m}{s^{2}} \right)\cdot \left(\frac{1}{1000}\,\frac{km}{m} \right)\cdot \left(3600^{2}\,\frac{s^{2}}{h^{2}} \right)[/tex]
[tex]a = 84512.16\,\frac{km}{h^{2}}[/tex]
The acceleration of 84512.16 kilometers per square hour.
Which statement illustrates how engineering has influenced society?
Answer: A. New, high-tech materials are used to make prosthetic limbs for people who need them
Explanation:
Engineering is an immensely important science to us as humans for through its development of tools, machines, engines and structures, human lives have been made better in just about every field.
One of these fields is the medical field. In the past people who lost limbs could say good bye to a normal life or at least a semblance of one but now, due to advancements in Engineering, high-tech materials can now be used to make prosthetic limbs for people who need them.
A rigid container holds 0.30g of hydrogen gas.
Part A) How much heat is needed to change the temperature of the gas from 50 K to 100 K?
Express your answer to two significant figures and include the appropriate units.
Q= _______
Part B) How much heat is needed to change the temperature of the gas from 250 K to 300 K?
Express your answer to two significant figures and include the appropriate units.
Q=_____
Part C) How much heat is needed to change the temperature of the gas from 2250 K to 2300 K?
Express your answer to two significant figures and include the appropriate units.
Q=_____
Answer:
Part A: [tex]\mathbf{Q =94 \ J}[/tex] to two significant figures
Part B: [tex]\mathbf{Q =160 \ J}[/tex] to two significant figures
Part C: [tex]\mathbf{Q =220 \ J}[/tex] to two significant figures
Explanation:
Given that :
mass of the hydrogen = 0.30 g
the molar mass of hydrogen gas molecule = 2 g/mol
we all know that:
number of moles = mass/molar mass
number of moles = 0.30 g /2 g/mol
number of moles = 0.15 mol
For low temperature between the range of 50 K to 100 K, the specific heat at constant volume for a diatomic gas molecule = [tex]C_v=\dfrac{3}{2}R[/tex]
For Part A:
[tex]Q = mC_v\Delta T[/tex]
[tex]Q= 0.15 \ mol (\dfrac{3}{2})(8.314 \ J/mole.K )(100-50)K[/tex]
[tex]Q= 0.15 \times (\dfrac{3}{2}) \times (8.314 \ J )\times (50)[/tex]
[tex]Q=93.5325 \ J[/tex]
[tex]\mathbf{Q =94 \ J}[/tex] to two significant figures
Part B. For hot temperature, [tex]C_v=\dfrac{5}{2}R[/tex]
[tex]Q = mC_v\Delta T[/tex]
[tex]Q= 0.15 \ mol (\dfrac{5}{2})(8.314 \ J/mole.K )(300-250)K[/tex]
[tex]Q= 0.15 \times (\dfrac{5}{2}) \times (8.314 \ J )\times (50)[/tex]
[tex]Q=155.8875 \ J[/tex]
[tex]\mathbf{Q =160 \ J}[/tex] to two significant figures
Part C. For an extremely hot temperature, [tex]C_v=\dfrac{7}{2}R[/tex]
[tex]Q = mC_v\Delta T[/tex]
[tex]Q= 0.15 \ mol (\dfrac{7}{2})(8.314 \ J/mole.K )(2300-2250)K[/tex]
[tex]Q= 0.15 \times (\dfrac{7}{2}) \times (8.314 \ J )\times (50)[/tex]
[tex]Q=218.2425 \ J[/tex]
[tex]\mathbf{Q =220 \ J}[/tex] to two significant figures
Part A) Heat needed to change the temperature of the gas from 50 K to 100 K is 94J.
Part B) Heat needed to change the temperature of the gas from 250 K to 300 K is 160J.
Part C) Heat needed to change the temperature of the gas from 2250 K to 2300 K is 220J.
What is heat?The increment in temperature adds up the thermal energy into the object. This energy is Heat energy.
Given is the mass of the hydrogen = 0.30 g and the molar mass of hydrogen gas molecule = 2 g/mol
Then, number of moles = mass/molar mass
number of moles = 0.30 g /2 g/mol = 0.15 mol
Part A) For low temperature between the range of 50 K to 100 K, the specific heat at constant volume for a diatomic gas molecule Cv =3/2R
Q =m Cv ΔT
Q = 0.15 mol x 3/2 x 8.314 x (100 - 50)
Q = 93.5325 Joules.
Q = 94 J to two significant figures.
Part B) For hot temperature, Cv = 5/2 R
Heat needed, Q =m Cv ΔT
Q = 0.15 mol x 5/2 x 8.314 x (300 - 250)
Q = 155.8875Joules.
Q = 160 J to two significant figures.
Part C) In case of extremely hot temperature, Cv =7/2R
Heat needed to change the temperature from 2250 K to 2300 K
Q = 0.15 mol x 7/2 x 8.314 x (2300 - 2250)
Q = 218.2425 J
Q = 220J
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Question:
Which of these are characteristics of a scientific law? Check all that apply.
Answer choices:
It contains an explanation of facts.
It states a fact about how nature works.
It is based on observations of nature.
It often changes over time with new experiments and technology.
It explains why a group of hypotheses are related.
It will most likely remain true even when scientists work with new experiments.
Please help ASAP
Answer:
B:It states a fact about how nature works.
C:It is based on observations of nature.
F:It will most likely remain true even when scientists work with new experiments.
Explanation:
Good luck :)
These are characteristics of a scientific law that states a fact about how nature works. It is based on observations of nature and It will most likely remain true even when scientists work with new experiments. therefore the correct options are options B, C, and F
What is the scientific claim?Scientific claims are statements made in science based on an experiment.
These Scientific claims are backed by the experimental data and their true results obtained from scientific investigation and experimentation.
scientific law states a fact about how nature works, based on observations of nature. It often changes over time with new experiments and technology and will most likely remain true even when scientists work with new experiments.
Thus, These qualities define a scientific law that establishes a fact about how nature functions. It is based on observations of nature, and even if scientists conduct additional tests, it will probably continue to be true. Hence, choices B, C, and F are the best choices.
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If vector A has components Ax and Ay and makes an angle θ with the +x axis, thena. Ax +Ay (where A is magnitude of A)b. θ= Ay/Axc. Cosθ= Ax/ √ (Ax^2+ Ay^2)d. Tanθ= Ax/Ay
Answer:
c. Cos θ = [tex]A_{x}[/tex] / [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
Explanation:
A vector is any quantity that has both magnitude and direction. The given vector A has components [tex]A_{x}[/tex] and [tex]A_{y}[/tex], and makes angle θ with +x axis.
Thus;
Resultant of the vector, A = [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
Therefore, the components, angle and resultant of vector A can be represented in magnitude and direction by the three sides of a right angled triangle.
Applying the appropriate trigonometric function to the triangle for vector A, we have;
Cos θ = [tex]A_{x}[/tex] ÷ [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
⇒ Cos θ = [tex]A_{x}[/tex] / [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
The correct option is C.
How fast is the flash? Your final answer should be in m/s and you should cite your reference.
Answer: as fast as lightning
300,000,000 meters per second
Lightning is the flash of light that occurs when charge separation occurs. Like other forms of light, the light emitted from the lightning travels near the speed of light.
How long is a bus route across a small town
Answer:
4 kilometers
Explanation:
What are the steps to the scientific method
Answer:
question, report, observe, research, draw conclusions, hypothesize, test hypothesis, experiment
Explanation:
Point charges q1=− 4.40 nC and q2=+ 4.40 nC are separated by distance 3.10 mm , forming an electric dipole. The charges are in a uniform electric field whose direction makes an angle of 36.4° with the line connecting the charges. What is the magnitude of this field if the torque exerted on the dipole has magnitude 8.00×10^−9 N⋅m ?
Answer:
988.39 N/C
Explanation:
First, we start by finding the magnitude of the electric dipole moment, as it's going to be needed
p = 4.40*10^-9 * 3.10*10^-3
p = 1.364*10^-11 Cm
The charges are in a uniform electric field E whose direction makes an angle of 36.4° with the line connecting the charges.
Magnitude of torque exerted on the dipole,
t = 8.0×10−9 N.m
pEsinO = t, making E subject of formula
E = t / psinO
E = 8.0*10^-9/1.364*10^-11 (sin36.4)
E = 8.0*10^-9/1.364*10^-11 * (0.5934)
E = 8.0*10^-9 / 8.094*10^-12
E = 988.39 N/C
the magnitude of this field is E = 988.39 N/C
4. True or false. When measuring a liquid ingredient, the measuring cup should be held up so the mark on
the cup for the desired amount is at eye level.
Foods class
A bird flies 10 miles south, turns and flies 15 miles east. What distance did it fly.
Answer:
wouldn't it be 25 miles?? yeah
Explanation:
(URGENT) A ball rolls off a ledge. Its velocity is 7.70m/s in a horizontal direction. It falls on the floor 1.60m below the ledge. What is the horizontal distance that it travels while in the air?
Answer:
the horizontal distance is 4.355 meters
Explanation:
The computation of the horizontal distance while travelling in the air is shown below:
Data provided in the question is as follows
Velocity = u = 7.70 m/s
H = 1.60 m
R = horizontal direction
Based on the above information
As we know that
R = u × time
where,
Time = [tex]\sqrt{\frac{2H}{g} }[/tex]
So,
= [tex]7.70\times \sqrt{\frac{2\times 1.60}{10} }[/tex]
= 4.355 meters
hence, the horizontal distance is 4.355 meters
Which of the following is not the one of the influencing factors when it comes to body type
Answer:
Nutritional intake:)Hope this helps.
Explanation:
An object thrown in the air has a velocity after t seconds that can be described by v(t) = -9.8t + 24 (in meters/second) and a height h(t) = -4.9t 2 + 24t + 60 (in meters). The object has mass m = 2 kilograms. The kinetic energy of the object is given by K = __1 2mv2 , and the potential energy is given by U = 9.8mh. Find an expression for the total kinetic and potential energy K + U as a function of time. What does this expression tell you about the energy of the falling object?
Answer and Explanation: Kinetic energy is related to movement: it is the energy an object possesses during the movement. it is calculated as:
[tex]K=\frac{1}{2}mv^{2}[/tex]
For the object thrown in the air:
[tex]K=\frac{1}{2}.2.[v(t)]^{2}[/tex]
[tex]K=(-9.8t+24)^{2}[/tex]
[tex]K=96.04t^{2}-470.4t+576[/tex]
Kinetic energy of the object as a function of time: [tex]K=96.04t^{2}-470.4t+576[/tex]
Potential energy is the energy an object possesses due to its position in relation to other objects. It is calculated as:
[tex]U=mgh[/tex]
For the object thrown in the air:
[tex]U=9.8.2.h(t)[/tex]
[tex]U=9.8.2.(-4.9t^{2}+24t+60)[/tex]
[tex]U=-96.04t^{2}+470.4t+1176[/tex]
Potential energy as function of time: [tex]U=-96.04t^{2}+470.4t+1176[/tex]
Total kinetic and potential energy, also known as mechanical energy is
TME = [tex]96.04t^{2}-470.4t+576[/tex] + ([tex]-96.04t^{2}+470.4t+1176[/tex])
TME = 1752
The expression shows that total energy of an object thrown in the air is constant and independent of time.
Which property of metals allows aluminum to be flattened into thin sheets of aluminum foil? shininess malleability brittleness hardness
Malleability
Knowledge Enhancer★ Malleability: The property which allows the metal to be hammered into thin sheets is called malleability.
★ Brittleness: The property due to which non-metals break down on hammering is called brittleness .
★ Ductility: The property which allows the metal to be drawn into wires is called dutility.
Answer:
The answer to this question is malleability.
A 14 g sample of neon gas has 1200 J of thermal energy. Estimate the average speed of a neon atom.
Answer:
The average speed of a neon atom is 414.04 m/s
Explanation:
Given;
energy of the neon gas, E = 1200 J
mass of the neon gas, m = 14 g = 0.014 kg
The speed of the neon atom is given by Maxwell-Boltzmann;
E = ¹/₂mv²
where;
v is the average speed of the neon atom
1200 = ¹/₂(0.014)v²
2 x 1200 = 0.014v²
2400 = 0.014v²
v² = 2400 / 0.014
v² = 171428.57
v = √ 171428.57
v = 414.04 m/s
Therefore, the average speed of a neon atom is 414.04 m/s
The average speed of a neon atom will be 414.04 m/s.
What is the average speed?The total distance traveled by an object divided by the total time taken is the average speed.
The average speed of an object indicates the pace at which it will traverse a distance. The metric unit of speed is the meter per second.
The given data in the problem is;
E is the energy of the neon gas, = 1200 J
m is the mass of the neon gas= 14 g = 0.014 kg
v is the speed of the neon atom=?
From the Maxwell-Boltzmann equation;
[tex]\rm E= \frac{1}{2} mv^2 \\\\ v=\sqrt{\frac{2E}{m} } \\\\ v=\sqrt{\frac{2 \times 1200 }{0.014} } \\\\ v= 414.04 \ m/s[/tex]
Hence the average speed of a neon atom will be 414.04 m/s.
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Within a piston-cylinder assembly, 2.5 kg air executes Carnot power cycle. During the process of isothermal expansion, heat transfer to air is 50 kJ. Volume is 0.45 m3 at the end of isothermal expansion process. This Carnot power cycle operates within a temperature range of 250 K to 700 K. Assuming an ideal gas model, (a) Determine the pressure (kPa) and volume (m3 ) at the beginning of isothermal expansion. (b) Calculate the thermal efficiency. (c) Calculate the heat transfer (kJ) and work (kJ) for all four processes. (d) Sketch the cycle on p-v coordinates.Within a piston-cylinder assembly, 2.5 kg air executes Carnot power cycle. During the process of isothermal expansion, heat transfer to air is 50 kJ. Volume is 0.45 m3 at the end of isothermal expansion process. This Carnot power cycle operates within a temperature range of 250 K to 700 K. Assuming an ideal gas model, (a) Determine the pressure (kPa) and volume (m3 ) at the beginning of isothermal expansion. (b) Calculate the thermal efficiency. (c) Calculate the heat transfer (kJ) and work (kJ) for all four processes. (d) Sketch the cycle on p-v coordinates.
Answer:
a) 1225 kPa, 0.41 m³
b) 0.643
c) -17.86 kJ, 50 kJ, 854 kJ, -854 kJ
Explanation:
See attachment
There are positive negative, and neutrally charged particles in atoms. What is the name of the positively charged particle?
O A electron
OB. positron
0 c neutron
D. proton
Answer:
Positively charged particles in atoms are D. Protons
Explanation:
Negative = Electrons
Neutral = Neutron
Positive = Proton
Match each principle with the phrase that best defines it.
the federal system
Government power is limited and based
on popular vote
constitutional democracy
Power is divided among legislative,
executive, and judicial branches,
branches of government
Power is divided between state, local,
and federal governments
Answer:
1: 2
2: 1
3: 3
Explanation:
Answer:Federal System->Power Is divides between state, local etc.
Branches of government-> Power is divided among legislative, executive
Constitutional democracy-> Government power
Explanation:
wire which have protective covers on them are called
The protective covers on wires are called insulation and they are typically made out of plastic or rubber. The purpose for this insulation is so the wire doesn't come in contact with other conductors. It also protects it from having electrical leaks or threats to the environment.
Best of Luck!
How does an atom become an anion?
A. It loses one or more protons to another atom to become negatively charged.
B. It gains one or more protons from another atom to become positively charged.
C. It gains one or more electrons from another atom to become negatively charged.
D. It loses one or more electrons to another atom to become positively charged.
Answer:
C. It gains one or more electrons from another atom to become negatively charged.
Explanation: When it gains electrons it becomes negatively charged and is called an anion. When it loses electron(s) it becomes positively charged and is called a cation.
Hope this helps
Plz mark brainleist
An atom becomes an anion when it gains one or more electrons from another atom, resulting in a net negative charge. This process occurs through the formation of chemical bonds, typically in ionic compounds.
An atom's position in the periodic table affects how likely it is to gain electrons. Atoms in nonmetals and other elements on the right side of the periodic table have a stronger attraction for electrons and are more prone to undergo anion formation.
The extra electrons fill the highest energy level, creating a stable arrangement of electrons like that of a noble gas. Anions contribute to the overall charge balance of compounds and are crucial in a number of chemical processes.
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A bike moves 50 meters in 5
seconds. Calculate the speed
of the bike.
Answer:
speed = distance ÷ time.
speed=50÷ 5
=10m/s
A bike moves 50 meters in 5 seconds, then the speed of the bike would be 10 m/s.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is a meter/second. The generally considered unit for speed is a meter per second.
As given in the problem a bike moves 50 meters in 5 seconds. This means the total distance covered by the bike is 50 meters, and the total time taken by the bike is 5 seconds.
The total distance covered by the bike = 50 meters
The total time taken to cover the 5 meters = 5 seconds
speed = the total distance covered by the bike/the total time
= 50 meters/5 seconds
= 10 m/s
Thus, the speed of the bike comes out to be 10 m/s.
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To model a spacecraft, a toy rocket engine is securely fastened to a large puck, which can glide with negligible friction over a horizontal surface, taken as the xy plane. The 8.00 kg puck has a velocity of 10.0 i hat m/s at one instant. Eight seconds later, its velocity is to be (10.0 i hat 12.0 j) m/s. (a) Assuming the rocket engine exerts a constant total horizontal force, find the components of the force. ( i hat j ) N (b) Find its magnitude. N
Explanation:
Given that,
Mass of a puck, m = 8 kg
Initial velocity, u = 10i m/s
Final velocity, v = (10i+12j) m/s
Time, t = 8 s
(a) Force acting on an object is given by the product of mass and acceleration.
F = ma
a is acceleration
[tex]F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{8\times (10i+12j-10i)}{8}\\\\F=12j\ \text{N}[/tex]
(b) The magnitude of force is given by :
[tex]F=\sqrt{12^2+0^2} \\\\F=12\ N[/tex]
Hence, the component of force is 12j N and its magnitude is 12 N.
Jesseca Kusher wants to manufacture and sell her new material. Help her marketing campaign by providing a catchy name for the material, an advertising slogan, and a simple picture for the product label. For the name and slogan, use the drawing tool’s text box feature. lol
Answer: the picture is the answer
Explanation:
Rank the below combinations of electric charges on the basis of the electric force acting on q1. Define forces pointing to the right as positive and forces pointing to the left as negative.1.a. q1= +1nCb. q2= -1nCc, q3= -1nC2.a. q1= -1nCb. q2= +1nCc, q3= +1nC3. a. q1= +1nCb. q2= +1nCc, q3= +1nC4. a. q1= +1nCb. q2= +1nCc, q3= -1nC5. a. q1= -1nCb. q2= -1nCc, q3= -1nC6. a. q1= +1nCb. q2= -1nCc, q3= +1nC
Answer:
Explanation:
The electric charges are placed on a line .
1 a ) q1= +1 nC q2= -1 nC q3= -1 nC
here q₁ will be attracted by both q₂ and q₃ so net force on q₁ will be positive
2 a ) q1= -1 nC q2= +1 nC q3= + 1 nC
here q₁ will be attracted by both q₂ and q₃ so net force on q₁ will be positive
3 a ) q1= +1 nC q2= +1 nC q3= + 1 nC
here q₁ will be repelled by both q₂ and q₃ so net force on q₁ will be negative.
4 a ) q1= +1 nC q2= +1 nC q3= - 1 nC
q2 will repel and q3 will attract so net force will be towards left but it will be weakened .
5 a ) q1= -1 nC q2= -1 nC q3= - 1 nC
Both q₁ and q₂ will repel so net force will be towards left and negative .
6 a ) q1= +1 nC q2= -1 nC q3= + 1 nC
q2 will attract and q3 will repel so net force will be towards right but it will be weakened . It will be positive .
Largest positive force to lowest positive force
2 a ) = 1 a ) > 6 a )
Largest negative force to lowest positive force
5a )= 3 a ) > 4a )
Question 3. Which of these best describes the field of engineering? *
O A. It is a tool or process designed to solve a problem.
B. It is the use of science and math to solve problems.
C. It is an area of study that relates to space exploration.
D. It is an area of study that relates to nonliving materials.
Please help me:)
You must exert a force of 5N on a book to slide it across a table.If you do 2.5 J of work in the process, how far has the book moved?
Answer:
0.5 m.
Explanation:
From the question given above, the following data were obtained:
Force (F) = 5 N
Work done (W) = 2.5 J
Distance (s) =?
Workdone is simply defined as the product of force (F) and distance (s) moved in the direction of the force. Mathematically, it is expressed as:
Work done (W) = Force (F) × Distance (s)
W = F × s
With the above formula, we can obtain the distance to which the book has moved as follow:
Force (F) = 5 N
Work done (W) = 2.5 J
Distance (s) =?
W = F × s
2.5 = 5 × s
Divide both side by 5
s = 2.5/5
s = 0.5 m
Therefore, the book moved 0.5 m when the force was applied.
A woman on a bridge 93.7 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 4.94 m more to travel before passing under the bridge. The stone hits the water 1.53 m in front of the raft. Find the speed of the raft.
Answer:
0.779m/s
Explanation:
A woman on a bridge 93.7m high sights a raft floating at a constant speed
She drops a stone from rest in an attempt to hit the raft
The stone is released when the raft had 4.94m to travel before passing under the bridge
The stone hits the water 1.53 m in front of the raft
The first step is to calculate the distance
= 4.94 m-1.53 m
= 3.41m
The time can be calculated as follows
= √2(93.7)/9.8
= √187.4/9.8
= √19.12244
= 4.373 secs
Therefore the speed of the raft can be calculated as follows
Speed= 3.41/4.373
= 0.779m/s
Hence the speed of the raft is 0.779m/s
What is the nucleon A number of carbon-14?Express your answer as aninteger.
Answer:
14
Explanation:
The total no of protons and neutrons in an atomic nucleus is called mass number, nucleon number or atomic mass number. It is denoted by A.
In this problem, we need to find the nucleon number of carbon-14 i.e. mass number of carbon -14. 14 with carbon shows its mass number.
Hence, the nucleon no of carbon-14 is 14.
does the change of height affect the value of g?
Answer:
Yes, change of height affect the g.
Explanation:
As gravity is indirectly proportion to height. So when,height increases gravity decrease and when the height decrease gravity increase.
In the development of the standard atmospheric model, the variation of the acceleration of gravity with altitude is ignored; that is, the acceleration of gravity is approximated as constant with altitude. Using the Newtonian gravitational model, compute the acceleration of gravity at sea level, 50,000 ft, and 100,000 ft. Based on these computations, describe the accuracy of this approximation.
Answer:
The accuracy percentage for 50000 ft is 0.47%.
The accuracy percentage for 100000 ft is 0.92%.
Explanation:
Given that,
Height = 50000 ft and 100000 ft
We need to calculate the new acceleration due to gravity
Using newtonian gravitational formula
[tex]g'=g\times(1-\dfrac{h}{R})^{-2}[/tex]
Where, g = acceleration due to gravity
h = height
R = radius
Put the value into the formula
[tex]g'=9.81\times(1-\dfrac{50000}{20.9\times10^{6}})^{-2}[/tex]
[tex]g'=9.857[/tex]
We need to find the accuracy percentage
Using formula for accuracy
[tex]accuracy\ percentage=\dfrac{g'-g}{g}\times100[/tex]
Put the value into the formula
[tex]accuracy\ percentage=\dfrac{9.857-9.81}{9.81}[/tex]
[tex]accuracy\ percentage=0.47\%[/tex]
Now, For other height,
We need to calculate the new acceleration due to gravity
Using newtonian gravitational formula
[tex]g'=g\times(1-\dfrac{h}{R})^{-2}[/tex]
Put the value into the formula
[tex]g'=9.81\times(1-\dfrac{100000}{20.9\times10^{6}})^{-2}[/tex]
[tex]g'=9.90[/tex]
We need to find the accuracy percentage
Using formula for accuracy
[tex]accuracy\ percentage=\dfrac{g'-g}{g}\times100[/tex]
Put the value into the formula
[tex]accuracy\ percentage=\dfrac{9.90-9.81}{9.81}[/tex]
[tex]accuracy\ percentage=0.92\%[/tex]
Hence, The accuracy percentage for 50000 ft is 0.47%.
The accuracy percentage for 100000 ft is 0.92%.
