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
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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
The weight of a person in an elevator at rest = 500 N. Acceleration due to gravity is 9.8 m/s2. When lift accelerated, the tension force is 750 N. What is the acceleration of lift.
Answers
Answer:If the elevator accelerated downward then the tension force smallest then 500 N. Otherwise, if the elevator accelerated upward then the tension force larger then 500 N.
The tension force = 750 N because the elevator accelerated upward. Force acts upward has plus sign and force acts downward has minus sign.
T – w = m a
750 – 500 = 50 a
250 = 50 a
a = 250 / 50
a = 5.0 m s–2
Explanation:
10. What do you think the effect is of jet airplanes on global warming?
Answers
Answer:
Like other emissions resulting from fossil fuel combustion, aircraft engines produce gases, noise, and particulates, raising environmental concerns over their global effects and their effects on local air quality.[2]Jet airliners contribute to climate change by emitting carbon dioxide (CO2), the best understood greenhouse gas, and, with less scientific understanding, nitrogen oxides, contrails and particulates. Their radiative forcing is estimated at 1.3–1.4 that of CO2 alone, excluding induced cirrus cloud with a very low level of scientific understanding. In 2018, global commercial operations generated 2.4% of all CO2 emissions.
Between 1940 and 2018, aviation CO2 emissions grew from 0.7% to 2.65% of all CO2 emissions.[1]
Jet airliners have become 70% more fuel efficient between 1967 and 2007, and CO2 emissions per Revenue Ton-kilometer (RTK) in 2018 were 47% of those in 1990. In 2018, CO2 emissions averaged 88 grams of CO2 per revenue passenger per km. While the aviation industry is more fuel efficient, overall emissions have risen as the volume of air travel has increased. By 2020, aviation emissions were 70% higher than in 2005 and they could grow by 300% by 2050.
Aircraft noise pollution disrupts sleep, children's education and could increase cardiovascular risk. Airports can generate water pollution due to their extensive handling of jet fuel and deicing chemicals if not contained, contaminating nearby water bodies. Aviation activities emit ozone and ultrafine particles, both of which are health hazards. Piston engines used in general aviation burn Avgas, releasing toxic lead.
Aviation's environmental footprint can be reduced by better fuel economy in aircraft or Air Traffic Control and flight routes can be optimised to lower non-CO2 effects on climate from NO
x, particulates or contrails. Aviation biofuel, emissions trading and carbon offsetting, part of the ICAO's CORSIA, can lower CO2 emissions. Aviation usage can be lowered by short-haul flight bans, train connections, personal choices and aviation taxation and subsidies. Fuel-powered aircraft may be replaced by hybrid electric aircraft and electric aircraft or by hydrogen-powered aircraft.
what is the static friction force and kinetic friction for the image
Answers
According to the plot, static friction force has a maximum magnitude of around 3.0 N, and kinetic friction has a magnitude of about 1.5 N.
The plot appears to be telling you the force required to get the yellow block moving along the table. If one applies less than 3.0 N of force, the block remains motionless. But as soon as it starts to slide, one need only apply 1.5 N of force to keep it moving (presumably at a constant speed).
What is the mass of a box if it accelerated 5 m/s from a force of 12 N?
Answers
Answer:
60
Explanation:
You multiply the acceleration and the force and you get your answer
what is the definition for volume and density
Answers
Answer:
volume :: is the level at which something is heard or the amount of space that something takes up.
Density :: is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume.
Answer:
The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: {\displaystyle \rho ={\frac {m}{V}}} where ρ is the density, m is the mass, and V is the volume
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]
A seashell is suspended in the air at rest by two strands of spider silk. Each strand of silk makes an angle of 75 degrees above the horizontal, and experiences a tension of 1.42 N.
What is the mass of the seashell?
Answers
The mass of the seashell suspended by the two strands of spider silk is 0.28 kg.
The given parameters:
Tension on each strand of silk, T = 1.42 NAngle of inclination of each strand, θ = 75⁰The mass of the seashell at equilibrium is calculated by applying Newton's second law of motion;
[tex]\Sigma F = 0\\\\T_1 sin(\theta) + T_2 sin(\theta) - W = 0[/tex]
where;
W is the weight of the seashellThe weight of the seashell is calculated as;
[tex]1.42 \times sin(75) \ + \ 1.42 \times sin(75) \ - W = 0\\\\2.743 - W = 0\\\\W = 2.743 \ N[/tex]
The mass of the seashell is calculated as follows;
[tex]W = mg\\\\m = \frac{W}{g} \\\\m = \frac{2.743}{9.8} \\\\m = 0.28 \ kg[/tex]
Thus, the mass of the seashell suspended by the two strands of spider silk is 0.28 kg.
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How did Thomson's model get its name?
Answers
Answer:
thats actually a really good question. sadly i don't know the answer to it. but im sure that there are others who can!
which term is defined by the interaction between two charged particles?
Answers
Answer: Electromagnetism
The term which is defined by the interaction between two charged particles is known as electromagnetism.
What is an electromagnet?The study of charge and the fields and forces it generates is known as electromagnetism. Electromagnetism has two components: electricity and magnetism.
The special theory of relativity, developed by Albert Einstein in 1905, proved beyond a shadow of a doubt that both are components of the same reality. But in reality, magnetic and electric forces behave very differently and are modeled by various equations. Electric charges can produce forces whether they are stationary or moving. On the other hand, magnetic forces are only created by moving charges and only affect charges that are moving.
Thus, the term is known as electromagnetism.
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A system consisting of two particles is known to have zero total momentum. Does it follow that the kinetic energy of the system is zero as well?
Answers
Answer:
all of the particles are at rest (v = 0)
Explanation:
Therefore, since nothing is moving, the total momentum of the system must also be zero.
As a system consisting of two particles is known to have zero total momentum, the kinetic energy of the system will be zero as well.
What is momentum?Momentum is the product of a particle's mass and velocity. Momentum is a vector quantity, which means it has a magnitude as well as a direction.
According to Isaac Newton's second law of motion, the time rate of change of momentum equals the force acting on the particle.
Momentum describes the relationship between an object's mass, velocity, and direction.
Any change in momentum generates force. As a result, a change in momentum is used to calculate the force acting on the object.
Because the total kinetic energy is zero, all of the particles are at rest (v = 0). As a result, because nothing is moving, the system's total momentum must also be zero.
Thus, the statement is true.
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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
why is it less air pressure up in the sky and why does it affect our ears
Answers
Answer:
When you in a airplane you are in high altitude and thats where air density drops. Thats where ear pops come from.
Explanation:
a car collides with a wall. compare the forces exerted by the car on the wall and the wall on the car
Answers
Answer:
Newton’s third law states that for every action there is an equal and opposite reaction. Based on this you can say that the car crashing into the wall would put force into the wall. However, because the wall didn’t move it gives an equal force back to the car, probably causing it to crumple.
Explanation:
Mass multiplied by acceleration produces force.
The acceleration is (v - 0)/t in this situation, where t seems to be the time it takes automobile A to come to a stop. According to Newton's third law of motion, the automobile produces this turning force of the wall, however the wall, which really is static and indestructible, forces an equal force back on the car.
According to Newton's third law, each action has an equal and opposite response. On this basis, you may deduce that a car driving into a wall would exert force on the wall. However, since the wall did not move, the automobile receives an equivalent force, causing it to collapse.
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Over a period of 2.50 seconds, a speedboat accelerates uniformly from 18.5 m/s to 46.5 m/s. What is the acceleration of the speedboat relative to the shore?
Answers
According to the question, the acceleration of the speedboat relative to the shore is found to be 11.2 [tex]m/sec^2.[/tex]
What is Acceleration?Acceleration may be characterized as the rate of change of the velocity of an object with respect to time. It is a vector quantity, as it defined both magnitude and direction. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).
According to the question,
The initial velocity of the boat = 18.5 m/s.
The final velocity of the boat = 46.5 m/s.
Difference in velocity = Final velocity - Initial velocity = 46.5-18.5 = 28 m/s.
The formula for calculating the acceleration of the boat is as follows:
a = Difference in velocity/time taken.= 28/2.50 = 11.2 [tex]m/sec^2[/tex].
Therefore, the acceleration of the speedboat relative to the shore is found to be 11.2 [tex]m/sec^2.[/tex]
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A car traveling in a northeasterly direction at a rate of 50 km/h represents which of the following?
A.
deceleration
B.
velocity
C.
speed
D.
acceleration
Answers
Answer:
c.
Explanation:
Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.
Formula
s = \frac{d}{t}
s = speed
d = distance traveled
t = time elapsed
7. A drag car takes off at the green light heading in a straight line. The car goes
from a complete stop to 45m/s in 9 seconds. What is its acceleration?
Answers
Answer:
405
Explanation:
If the car stops at 45m/s in 9 seconds then it took the car 405 meters to stop
The table below describes some features of methods used to generate electricity. What is method 3?
Answers
Answer:
dam/hydro power
Explanation:
estuary is the place where rivers meet the ocean, there are a lot of currents there (waves...) so it likely means thery use a dam or some sort of way of collecting electricity from the motion of the water there. many birds live in estuaries because of being able to find fish to feed from
Method 3 is "Estuary." describes some features of methods used to generate electricity.
An estuary is a coastal area where freshwater from rivers meets and mixes with saltwater from the ocean. This mixing creates a unique and dynamic environment that can be harnessed for electricity generation using a method called "tidal energy" or "tidal power." Tidal energy is a renewable energy source that captures the kinetic energy generated by the ebb and flow of tides in estuaries.
Ideal Location: Estuaries are ideal locations for tidal energy generation because they experience regular and predictable tidal movements due to the gravitational pull of the moon and sun. The rise and fall of tides create kinetic energy in the moving water.
Method: Tidal energy is harnessed using underwater turbines that are placed in strategic locations within the estuary. As the tidal currents flow in and out, they drive the turbines, which generate mechanical energy. This mechanical energy is then converted into electricity using generators.
Possible Problem: One potential problem associated with tidal energy generation in estuaries is its impact on the local ecosystem. The underwater turbines and infrastructure could potentially disrupt marine life and habitats, affecting fish migration patterns and other aquatic species. It's important to carefully study and manage the environmental impact of tidal energy projects to minimize any negative consequences.
Overall, tidal energy from estuaries offers a renewable and predictable source of electricity, but it requires careful planning and environmental considerations to ensure sustainable and responsible energy production.
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AB
ca
The trough of a transverse wave is BEST shown by choice
es - )
8
8
Answers
Answer:
bro the way you worded it makes no since
What are inert gases with example
Answers
Answer:
Inert gases:An inert gas is a gas that is unreactive in its environment. The noble gases (helium, neon, argon, krypton, xenon, and radon) are considered inert in most applications. Argon is the cheapest noble gas and thus the most frequently used. In applications insensitive to chemical reactions with nitrogen, even nitrogen gas (N2) may be used as inert gas.the motion of a particle along a straight line is represented by the position versus time graph above. at which of the labeled points on the graph is the magnitude of the acceleration of the particle greatest?
Answers
Point A has the largest magnitude of acceleration as compared to other points on the position verses time graph.
On the graph, A is the point where magnitude of the acceleration of the particle is greatest as compared to other positions on the graph because the height of point A is the largest as compared to other points of the graph.
The graph shows at which point acceleration of an object is higher and lower so we can conclude that point A has the largest magnitude of acceleration as compared to other points on the position verses time graph.
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do muscle and bone weigh more than fat
Answers
Answer: . You may have heard that muscle weighs more than fat. However, according to science, a pound of muscle and a pound of fat weigh the same. The difference between the two is density.
Explanation:
Please help my physics teacher cannot teach pls hurry pls help uwu
Answers
Hi there!
To find how much the spring stretches with the mass attached, we must find the spring's equilibrium point.
The equilibrium point satisfies the following:
[tex]\large\boxed{\Sigma F = 0}[/tex]
The two forces acting in this situation are the weight of the mass and the spring force.
The spring force (restoring force) is in the opposite direction of the weight, so:
[tex]\Sigma F = 0 = Mg- k\Delta x[/tex]
Mg = weight
k = Spring Constant (N/m)
Δx = distance to equilibrium point (m)
Now, we can set the two equal to each other:
[tex]Mg = k\Delta x\\\\544 = 1146\Delta x\\\\\boxed{\Delta x= .475 m}[/tex]
What is the current in a 120V circuit if the resistance is 20Ω?
Answers
We have: [tex]I=\frac{U}{R}=\frac{120}{20}=6A[/tex]
ok done. Thank to me :>
Answer:
The Current is 6 Ampere.
Step-by-step explanation:
Given :
[tex]\small\red\bull[/tex] Voltage = 120V[tex]\small\red\bull[/tex] Resistance = 20ΩTo Find :
[tex]\small\red\bull[/tex] CurrentUsing Formula :
[tex] \star{\small{\underline{\boxed{\sf{ I = \dfrac{V}{R}}}}}}[/tex]
[tex]\small\blue\star[/tex] I = Current[tex]\small\blue\star[/tex] V = Voltage[tex]\small\blue\star[/tex] R = ResistanceSolution :
Substituting all the given values in the formula to find Current :
[tex]{\dashrightarrow{\pmb{\sf{ I = \dfrac{V}{R}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ Current = \dfrac{Voltage}{Resistance}}}}[/tex]
[tex]{\dashrightarrow{\sf{ Current = \dfrac{120}{20}}}}[/tex]
[tex]{\dashrightarrow{\sf{ Current = \cancel{\dfrac{120}{20}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ Current = 6A}}}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{ Current = 6A}}}}}}[/tex]
Hence, the Current is 6 Ampere.
[tex]\rule{300}{1.5}[/tex]
an object moves 15.0 m north and then 11.0 m south. find both the distance it has traveled and the magnitude of its displacement.
Answers
Displacement is North 15 - 11 south= 4 m north.
1. Apply a constant force of 50 N directed to the right of the 50 kg Box. (2 pts)
Hypothesis:?
Conclusion: ?
Answers
As the box is moving with a constant velocity, the two forces acting on the box are canceling each other.
Then friction force = 80 Newtons but in the opposite direction.
Friction force = Mu * Normal force exerted by ground = Mu * weight of box
So we find Mu.
Mu = coefficient of friction between box and horizontal surface
= Force of friction / weight = 80 / 50 * 9.81 = 0.163
When an identical box is placed on top, the force of friction is
= Mu * total weight = 0.163 * (50+50) * 9.81 = 159.9 Newtons
How far does an object travel if it is moving at a speed of 4 m/s for 3.2 seconds?
Answers
Answer:
12.8 meters
Explanation:
m/s means meters per second. So, to find how far it would travel in 3.2 seconds, you would multiply 4 meters every second by 3.2 seconds.
4×3.2=12.8 meters
Jeff Gordon leads his race and must drive into a curve at top speed to win it all. The radius of the curve is 1000 m and the coefficient of static friction between his tires and the dry pavement is 0.50.
Answers
Answer:
Apparently the curve is not banked.
The maximum frictional force is -
Ff = m g * .5
Fc = m v^2 / R where Fc is the centripetal force that must be present in
order for the car not to slip.
.5 g = v^2 / R equating forces
v^2 = .5 R g = .5 ^ 1000 * 9.80
v = (500 * 9.80)^1/2 = 70 m/s
(about 230 ft/sec = 230/88 * 60 = 157 mph
What is an object's mass if it accelerates at 5 m/s2 when a force of 0.5 N is applied?
Answers
Answer:
0.1kg
Explanation:
mass = force / acceleration
0.5 / 5
0.1kg
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.
On average, how many stars would we have to search before we would expect to hear a signal? assume there are 500 billion stars in the galaxy.
Answers
We would have to search at least 5,000,000,000 (5 billion) stars before we would expect to hear a signal.
To find out the number of stars that we will need to search to find a signal, we need to use the following formula:
total of stars/civilizations500,000,000,000 (500 billion) stars / 100 civilization = 5,000,000,000 (5 billion)
This shows it is expected to find a civilization every 5 billion stars, and therefore it is necessary to search at least 5 billion stars before hearing a signal from any civilization.
Note: This question is incomplete; here is the complete question.
On average, how many stars would we have to search before we would expect to hear a signal? Assume there are 500 billion stars in the galaxy.
Assuming 100 civilizations existed.
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