If astronomers discovered a new planet and found its period of rotation around the Sun to be 105 years, how long would its semi-major axis length be as it orbited the Sun in AU?
Answers
From Kepler's third law, its semi-major axis length will be 22.2 AU approximately as it orbited the Sun in AU. The closest option is option C
Given that an astronomers discovered a new planet and found its period of rotation around the Sun to be 105 years.
According to Kepler's third law,
[tex]T^{2} \alpha r^{3}[/tex]
Where
T = Period ( in earth years) = time to complete one orbit
r = Length of the semi major axis in Astronomical unit.
[tex]T^{2}[/tex] = [tex]\frac{4\pi ^{2} }{GM} * r^{3}[/tex]
convert years to seconds
105 x 365 day x 24 hours x 3600 s
T = 3311280000 seconds
Mass of the sun M = 1.989 × 10^30 kg
G = 6.67 x [tex]10^{-11}[/tex]N m^2/kg^2
Substitute all the parameters into the formula
[tex]T^{2}[/tex] = 1.096 x [tex]10^{19}[/tex] = [tex]\frac{4\pi ^{2} }{6.67 * 10^{-11} * 1.989 * 10^{30} } * r^{3}[/tex]
1.096 x [tex]10^{19}[/tex] = 2.976 x [tex]10^{-19}[/tex] [tex]r^{3}[/tex]
[tex]r^{3}[/tex] = 1.096 x [tex]10^{19}[/tex] / 2.976 x [tex]10^{-19}[/tex]
[tex]r^{3}[/tex] = 3.68 x [tex]10^{37}[/tex]
r = [tex]\sqrt[3]{3.68 * 10^{37} }[/tex]
r = 3.33 x [tex]10^{12}[/tex] m
1 AU = 1.5 x [tex]10^{11}[/tex] m
r = 3.33 x [tex]10^{12}[/tex] / 1.5 x [tex]10^{11}[/tex]
r = 22.18 AU
Therefore, its semi-major axis length will be 22.2 AU approximately as it orbited the Sun in AU. The closest option is option C
Learn more about Kepler's laws here: https://brainly.com/question/4639131
Answer:
C. 22.3 AU
Explanation:
Not only is the above an unnecessarily complicated answer, it's not even fully correct, and definitely not what they want you to do.
T^2 = s^3, where T = orbital period and s = semi-major axis length.
Substitute T and you get 105^2 = s^3. Solve for s.
11025 = s^3
3√11025 = s
22.25663649 = s
Therefore, the answer is C. 22.3 AU
Related Questions
1. Taking accurate measurements of small values using the ‘measure many and average’ method.
Each oscillation takes a small amount of time, and your reaction time is about 0.1 seconds. This means too much of the time you measure is your reaction time. Find out the percentage error with this calculation;
a. ((reaction time)⁄(time for one oscillation))x100=% error
b. To reduce the percentage error, time for ten oscillations.
c. Take the average time by dividing your answer by ten.
d. Your reaction time is still the same, 0.1 s. Find out the new percentage error with this calculation;
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Answer:
i need free answers here
Explanation:
a car travels at a constant speed of 20m/s and yet it does not have a constant velocity. explain how this could be
Answers
Answer:
HOPE THIS HELPS!!
Explanation:
Velocity is speed as well as distance mentioned.
The car is traveling at a constant speed of 20m/s but it may not be traveling in any particular direction. It would be taking many turns (left and right) or it would be moving in a circular manner.
So,it is at constant speed but not constant velocity.
Jeremiah rides his bicycle 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours?
Answers
Answer:
24 miles.
Explanation:
3 hours=180 minutes
180÷30=6
6x4=24
Find the heat energy is required to change 2Kg of ice at 0 C to water at 20 C ( specific latent heat of fusion of water = 336000 J/Kg and specific heat of capacity of water = 4200 J/Kg C
Answers
We want to find the energy that we need to transform 2kg of ice at 0°C to water at 20°C.
We will find that we must give 840,000 Joules.
First, we must change of phase from ice to water.
We use the specific latent heat of fusion to do this, this quantity tells us the amount of energy that we need to transform 1 kg of ice into water.
So we need 336,000 J of energy to transform 1kg of ice into water, and there are 2kg of ice, then we need twice that amount of energy:
2*336,000 J = 672,000 J
Now we have 2kg of water at 0°C, and we need to increase its temperature to 20°C.
Here we use the specific heat, it tell us the amount of energy that we need to increase the temperature per mass of water by 1°C.
We know that:
specific heat of capacity of water = 4200 J/kg°C
This means that we need to give 4,200 Joules of energy to increase the temperature by 1°C of 1kg of water.
Then to increase 1°C of 2kg of water we need twice that amount:
2*4,200 J = 8,400 J
And that is for 1°C, we need to give that amount 20 times (to increase 20°C) this is:
20*8,400 J = 168,000 J
Then the total amount of energy that we must give is:
E = 672,000 J + 168,000 J = 840,000 J
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explain the difference between vector and scalar quantities
Answers
Answer:
vector quantity have both magnitude and direction but scalar quantities have only magnitude
What is the density of a substance that has a volume of 30ml and a mass of 20g?
Answers
Answer:
0.67 g/mLExplanation:
The density of a substance can be found by using the formula
[tex]d = \frac{m}{v} \\ [/tex]
m is the mass
v is the volume
From the question
m = 20 g
v = 30 mL
We have
[tex]d = \frac{20}{30} = \frac{2}{3} \\ = 0.66666...[/tex]
We have the final answer as
0.67 g/mLHope this helps you
HELP ASAP WHOEVER ANSWERS FIRST WITH BE BRAINIEST PLEASE HELP!
Answers
The answer is : A₃ = A₁ - A₂ = 3.0 - 2.0 = 1.0A
Ok done. Thank to me :>
Help please physics work
Answers
At any point along the track, the rollercoaster's mechanical energy is equal to the sum of its potential and kinetic energies,
M = P + K
and we assume the coaster's total mechanical energy is conserved throughout its motion along the track, so that M is the same at every point.
At the first point,
K + 75,000 J = 90,000 J ⇒ K = 15,000 J
At the second point, since M = 90,000 J everywhere,
K + 45,000 J = M ⇒ K = 45,000 J
At the third point,
K + 0 J = M ⇒ K = 90,000 J
The same principles apply to the pendulum, so M = 5,100 J throughout its swing.
At the first point,
K + 4,500 J = 5,100 J ⇒ K = 600 J
At the second point,
K + 0 J = M ⇒ K = 5,100 J
At the third point,
600 J + P = M ⇒ P = 4,500 J
A dart is thrown at a target that is supported by a wooden backstop. It strikes the backstop with an initial velocity of 350 m/s [E] The dart comes to rest in 0.0050 s.
a. What is the acceleration of the dart?
b. How far does the dart penetrate into the backstop?
Answers
Answer:u=350m/sec
v=0m/sec
t=0.005sec
a=v-u/t
=0-350/0.005
= -350/0.005
= -350×1000/5
= -70×1000
= -70000 m/sec^2
Explanation: i think this will help you thankyou
Where in an equation for photosynthesis does glucose belong? on the left, because it is a product on the left, because it is a reactant on the right, because it is a product on the right, because it is a reactant
Answers
Answer: The answer is on the right, because it is a product.
Explanation: During photosynthesis, light energy converts carbon dioxide and water (the reactants) into glucose and oxygen (the products).
Glucose belongs to the right side in photosynthesis equation because it is a product on the right.
What is Photosynthesis?Photosynthesis is the conversion of light energy into chemical energy by green plants and other organisms. Light energy is collected and utilized by green plants during photosynthesis to transform water, carbon dioxide, and minerals into oxygen and energy-rich organic molecules Glucose.photosynthesis equation can be written as6CO2 + 6H2O → C6H12O6 + 6O2.
Carbon dioxide + Water → Glucose + oxygen
Hence, the correct option is C.
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Explain briefly about viscous force
Answers
The viscous force refers to the resistance of a fluid to flow. It is measured in Newton-second per square meter.
The viscous force can be defined as the resistance that a fluid has to flow in a given space. Viscous force is proportional to the fluid velocity, while this constant is called viscosity.The viscous force can be measured in Newton-second per square meter (abbreviated as N s/m2).Learn more about viscous force here:
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What evidence is there that work is being done?
a) A lever is being used.
b) A simple machine makes a task easier.
c) The rock has a larger force than the boy.
d) The boy uses force to move the rock a distance.
Answers
Answer:
The boy uses force to move the rock a distance.
will mark brainliest if answer
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I won't touch the object because there is a warning sign and that means you stay out if it because it is a danger sign that High Resistance Material that means it is dangerous.
A medieval instrument used to determine the position of the sun:
Answers
Answer: astrolabe
Explanation:
The internal energy of a material is determined by _____.
its temperature
the kinetic energy of its molecules
the potential energy of its molecules
the combined amount of kinetic and potential energy of its molecules
Answers
The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy.
Select the correct answer.
Which unit abbrevlation is a measurement of force?
ОА.
m/s
OB. m/s2
Ос.
N
OD.
N/S
Answers
Answer:
N
S.I unit for force is Newton
A wagon with a mass of 284 kg is accelerated across a level surface at 9 m/s2. What net force acts on the wagon?
Answers
Answer:
2556 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 284 × 9 = 2556
We have the final answer as
2556 NHope this helps you
A 66 kg student stands on a very light, rigid board that rests on a bathroom scale at each end as shown in (Figure 1).
Answers
The reading on the scale is equal to the weight of the student which is 646.8 N.
The given parameters;
mass of the student, m = 66 kgThe reading on the scale is determined by applying Newton's second law of motion as follows;
[tex]R = ma+ mg\\\\R = m(a + g)\\\\R = m(0 + g)\\\\R = mg[/tex]
The student is at rest and not accelerating, a =0
[tex]R = 66 \times 9.8\\\\R = 646.8 \ N[/tex]
Thus, the reading on the scale is equal to the weight of the student which is 646.8 N.
The complete question is below:
A 66 kg student stands on a very light, rigid board that rests on a bathroom scale at each end as shown in (Figure 1). what is the reading on the scale?
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The force of gravity can also be referred to as the force of _____________.
Answers
Answer:
Gravitational.
Explanation:
In Earth, everything have a volume and mass, or downward force of gravity, which Earth's mass exerts on them.
An external force of 25 N acts on a system for 10 s. What is the impulse delivered to the system?
Answers
Answer:
I = 250N*s
Explanation:
I = F*t
I = impulse or momentum
F = Force
t = time
I = 25N*10s
I = 250N*s
Jonathan is pushing a 25 kg box with a force of 135 N. The friction opposing the motion is unknown. The overall net force for the box is 70 N. Using this information calculate the magnitude of the frictional force of the box.
Answers
The magnitude of the frictional force of the box is 65 N
From the question given above, the following data were obtained:
Mass (m) = 25 KgForce applied (Fₐ) = 135 NNet force (Fₙ) = 70 NFrictional force (Fբ) =?The frictional force acting on the box can be obtained as follow:
Fₙ = Fₐ – Fբ
70 = 135 – Fբ
Collect like terms
70 – 135 = – Fբ
–65 = –Fբ
Multiply through by –1
Fբ = 65 NThus, the frictional force of the box is 65 N
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how many kilojoules is this?
Answers
Answer:
How to convert joules to kilojoules
One joule is equal to thousandth of a kilojoule:
1J = 0.001kJ
The energy in kilojoules E(kJ) is equal to the energy in joules E(J) divided by 1000:
E(kJ) = E(J) / 1000
Example
Convert 500 joules to kilojoules.
The energy E in kilojoules (kJ) is equal to 500 joules (J) divided by 1000:
E(kJ) = 500J / 1000 = 0.5kJ
Joules to kilojoules conversion table
Energy (J) Energy (kJ)
1 J 0.001 kJ
2 J 0.002 kJ
3 J 0.003 kJ
4 J 0.004 kJ
5 J 0.005 kJ
6 J 0.006 kJ
7 J 0.007 kJ
8 J 0.008 kJ
9 J 0.009 kJ
10 J 0.01 kJ
20 J 0.02 kJ
30 J 0.03 kJ
40 J 0.04 kJ
50 J 0.05 kJ
60 J 0.06 kJ
70 J 0.07 kJ
80 J 0.08 kJ
90 J 0.09 kJ
100 J 0.1 kJ
200 J 0.2 kJ
300 J 0.3 kJ
400 J 0.4 kJ
500 J 0.5 kJ
600 J 0.6 kJ
700 J 0.7 kJ
800 J 0.8 kJ
900 J 0.9 kJ
1000 J 1 kJ
2000 J 2 kJ
3000 J 3 kJ
4000 J 4 kJ
5000 J 5 kJ
6000 J 6 kJ
7000 J 7 kJ
8000 J 8 kJ
9000 J 9 kJ
10000 J 10 kJ
100000 J 100 kJ
hope it help u
itz by Riddhi
Explain the function and the difference between figure 1 and 2
Answers
Answer:
figure one (step up transformer) helps in increasing the output voltage
figure two (step down transformer) helps in decreasing the output voltage
Carlos wanted to know how positive and
negative charges affect balloons. The
balloons shown below are part of his
investigation.
Answers
Answer:
it Give only one of them a positive or negative charge
Answer:
Rubbing the balloon against hair or wool causes electrons to move from the hair or wool to the balloon. The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.
name an instrument that is used to measure atmospheric pressure
Answers
Answer:
Barometer also called barometric pressure.
Answer:
A barometer
Explanation:
There are two types of barometers;
Mercury barometerAneroid barometer[tex]{}[/tex]
These diagrams represent two types of tectonic plate boundaries
Answers
Convergent boundaries are caused by the collision of two plates and can originate volcanoes. Transforming boundaries produce fractures by displacement. The correct option is D. Type A boundaries have fewer volcanoes.
----------------------------------------
The crust -the outermost layer of the earth- is divided into many plates that move over the mantle.
These plates are limited by three types of ridges or borders that differ in the movement they produce.
Boundaries types:
I. Divergent:
This boundary occurs when two plates separate and molten material rises from the mantle creating a new crust. The hot material creates a new seabed between the separating plates, expanding the sea bottom.II. Convergent.
Collision area between two plates. Two oceanic plates might collide, or one oceanic plate with a continental one. In this last case, the oceanic crust sinks under the continental plate, and magma rises to the surface by crevices. The thicker and older plate subduces under the other plate. Collisions create volcanic arches and continental arches.
III. Transforming.
The plates slide laterally with each other, and they are usually called faults. It is associated, in general, with the oceanic ridge, although it might also occur in the continental plate. No rocky material is either destroyed or formed. When the plates move and produce a displacement of one transforming limits from side to side, earthquakes occur. The movement breaks the crust and originates pronounced fractures.
In the attached images, we can see
image A representing transforming boundaries, image B representing Convergent boundaries.Image B is the one that can originate volcanoes because transforming boundaries only produce fractures.
So the correct option would be D.
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Answer:
d
Explanation:
Share your thoughts about this statement by John Wesley
"Electricty is the soul of universe"
Answers
Answer:
I think this statement is true at least in modern day times. The world runs on nothing but technology. People use more technology instead of old school textbooks and papers. Imagine living in a world without technology… that means no cars, no trains, no devices, no machines like your stove or printer, no lights and lots more. John Wesley is 100 percent correct with this statement. Electricity is indeed the powerhouse of the universe.
What is science notation
Answers
Answer:
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work? We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).
Explanation:
Why are movie scenes in outer space often unrealistic?
Answers
Answer:
see explanation
Explanation:
by my calculations, i believe it may be because they have to pretend to be in space.
one of them is Space & Interstellar Travel
what are the variables that affect the force of gravity?
Answers
Answer:
Mass and distance.
Explanation:
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
