We would like to compare the angular momentum of Mars about its axis of rotation with that of Earth's. The mass of Mars is 11% that of Earth, with a radius 53% that of Earth, and a rotational period 103% that of Earth. Assuming both planets to be uniform spheres calculate the ratio of the angular momentum of Mars to that of Earth.

Answers

Answer 1

Explanation:

Assume that mass of Earth is M, radius of earth orbit is R, and rotational period of Earth is T.

The angular momentum of Earth is,

 [tex]L_{z} &=M R^{2} \omega \\ &=M R^{2}\left(\frac{2 \pi}{T}\right) \\ &=\frac{2 \pi M R^{2}}{T}[/tex]

The mass of mars is, mass of Earth

=0.11 M

The radius of mars orbit is, of radius of earth

=0.53 R

The rotational period of mars is, of period of Earth

=1.03 T

The angular momentum of mars is,

[tex]L_{m}=\frac{2 \pi(0.11 M)(0.53 R)^{2}}{1.03 T}[/tex]

The angular momentum of mars is,

[tex]L_{m}=\frac{2 \pi(0.11 M)(0.53 R)^{2}}{1.03 T}[/tex]

The ratio of angular momentum of mars to that of earth is,

[tex]\frac{L_{m}}{L_{E}}=\frac{\frac{2 \pi(0.11 M)(0.53 R)^{2}}{1.03 T}}{\frac{2 \pi M R^{2}}{T}} \\ \frac{L_{m}}{L_{E}}=0.03 \\ \frac{L_{m}}{L_{B}}=3.0 \times 10^{-2}[/tex]


Related Questions

A meteorologist plans to release a weather balloon from ground level, to be used for high-altitude atmospheric measurements. The balloon is spherical, with a radius of 2.20 m, and filled with hydrogen. The total mass of the balloon (including the hydrogen within it) and the instruments it carries is 21.0 kg. The density of air at ground level is 1.29 kg/m3. (a) What is the magnitude of the buoyant force (in N) acting on the balloon, just after it is released from ground level

Answers

Answer:

563.86 N

Explanation:

We know the buoyant force F = weight of air displaced by the balloon.

F = ρgV where ρ = density of air = 1.29 kg/m³, g = acceleration due to gravity = 9.8 m/s² and V = volume of balloon = 4πr/3 (since it is a sphere) where r = radius of balloon = 2.20 m

So, F = ρgV = ρg4πr³/3

substituting the values of the variables into the equation, we have

F =  1.29 kg/m³ × 9.8 m/s² × 4π × (2.20 m)³/3

= 1691.58 N/3

= 563.86 N

What happened to the pod during those seconds when communication was lost?

Answers

Answer:

Explanation:

From our investigation of what forces are like in a collision, we learned that when two

objects collide, a force is exerted on each object. The two forces are in opposite

directions but the same strength. This allowed us to infer that an equal strength force

was exerted on the space station and the pod, but in opposite directions.

As a result, the space station and the pod are moving in opposite directions. We need to

learn more about the effects of collisions on each object’s motion so we can report back

to Dr. Gonzales at the space agency.

You will use physical materials to gather data about

forces in a collision. You will also notice how objects

are affected by collisions. Students will use their

data to infer the force direction for objects in a

collision.

Based on the velocity change of each object,

what did you infer about the direction of forces

during a collision?

• We observed that the velocity of each object changed during a collision, so we can infer

that a force had to be exerted on each object. However, the motion of the objects

changed in different ways.

• The object that was moving forward slowed down, so I can infer that the force must have

pushed backward on this object.

• The other object started moving forward, so the force must have pushed forward on that

object. If one force was backward and one force was forward, then the forces pushed

the objects in opposite directions.

Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO​

Answers

Answer:

OK we appreciate your concern.

A sinusoidal wave is reflected at the surface of a medium whose properties are such that half the incident energy is absorbed. Consider the field that results from the superposition of the incident and the reflected wave. An observer stationed somewhere in this field finds the local electric field oscillating with a certain amplitude E. What is the ratio of the largest such amplitude noted by an observer to the smallest amplitude noted by any observer

Answers

Answer:

[tex]\frac{Ei + Er}{Ei-Er}[/tex]

Explanation:

Ratio of the largest amplitude to the smallest amplitude is called voltage standing wave ratio ( along a transmission line )

Determine the ratio of the largest such amplitude noted by an observer tot the smallest amplitude

Expression for VSWR

VSWR =  [tex]\frac{1 + \sqrt{\frac{Pr}{Pi} } }{1 - \sqrt{\frac{Pr}{Pi} } }[/tex]    where ; Pr = reflected power , Pi = Incident power

hence the ratio of the largest amplitude to the smallest amplitude

= [tex]\frac{Emax}{Emin}[/tex] = [tex]\frac{Ei + Er}{Ei-Er}[/tex]  where ; Ei = amplitude of incident wave, Er = amplitude of reflected wave

Why are some areas in Europe seeing a partial solar eclipse while others are observing a total solar eclipse?

plz answer ASAP

Answers

Answer:

Objects between the source and observer produce possible shadows known as the umbra and the penumbra.

The umbra is a totally shadowed area, no light travels directly from the source to the observer.

The penumbra is a partially shadowed are where some of the source light travels directly to the observer an some of the source light is blocked from the observer (the object blocking the light is not a point object).

The question apparently refers to the differences seen by the observers.

Please Help!!!!!
Belinda observes that the reaction 2H2O+O2=2H2O2 appears to have stopped, because the concentrations of reactants and products are not changing. Which statement is true at this point in the reaction
A P E X

Answers

Answer: Molecules of H202, H20 and 02 are still forming. ( A P E X )

Explanation: I know this is late but for anyone looking at this later

The above question is incomplete, I think the original  question is

Belinda observes that the reaction 2H20+02 2H2O2 appears to have stopped because the concentrations of reactants and products are not changing. Which statement is true at this point in the reaction?

A. Molecules of H₂O₂ are formed only when the reaction vessel is disturbed.

B. Molecules of H2O2 have stopped forming.

C. Molecules of H20 and O₂ have stopped forming.

D. Molecules of H2O2, H2O, and O2 are still forming.

At this point in the reaction, the system has reached a state of equilibrium i.e there is no net change in the concentrations of reactants and products. So the Molecules of H2O2 have stopped forming. The correct option is B.

What is the state of equilibrium?

In chemistry, a state of equilibrium refers to a situation where the concentrations of reactants and products in a chemical reaction are no longer changing over time.

This occurs when the rates of the forward and reverse reactions are equal, and there is no net change in the concentrations of reactants and products.

At equilibrium, the system is in a dynamic state, where the forward and reverse reactions continue to occur, but at the same rate, resulting in no overall change in the concentrations of the species involved in the reaction. The equilibrium state is typically characterized by the equilibrium constant, which is a measure of the relative concentrations of reactants and products at equilibrium for a given reaction under specific conditions of temperature, pressure, and concentration.

Here in this question,

The molecules of H2O2 have stopped forming. This means that the forward reaction (2H2O + O2 → 2H2O2) and the reverse reaction (2H2O2 → 2H2O + O2) are occurring at the same rate, resulting in no net change in the concentration of H2O2. However, molecules of H2O and O2 are still being consumed and produced as they are involved in the reaction, but their concentrations are not changing because they are being replenished at the same rate that they are being consumed.

Therefore, the correct answer is B i.e Molecules of H2O2 have stopped forming.

To learn about redox reactions click:

https://brainly.com/question/13293425

#SPJ3

What is a conservative force?

Answers

Answer:

A conservative force is a force with the property that the total work done in moving a particle between two points is independent of the path taken Equivalently if a particle travels in a closed loop the total work done by a conservative force is zero

Explanation:

Need help ASAP on number 4 pls

Answers

The Arrows on both sides that has equal length is wrong and the rest of the boxes are the correct

a potted plant falls from a window sill and is gaining speed. which one of the following statements is true of the plant?

a) its kinetic energy is constant
b) its kinetic energy is increasing
c) its kinetic energy is decreasing​

Answers

Since the plant is falling, the gravitational energy decreases, so it means b) kinetic energy is increasing.

Hope this helps!! :)

Two ice skaters approach each other at right angles. Skater A has a mass of 27.4 kg and travels in the x direction at 1.23 m/s. Skater B has a mass of 49.4 kg and is moving in the y direction at 0.759 m/s. They collide and cling together. Find the final speed of the couple. Answer in units of m/s.

Answers

Answer:

The final speed will be "0.65 m/s".

Explanation:

The given values are:

[tex]m_a[/tex] = 27.4 kg

[tex]m_b[/tex] = 49.4 kg

[tex]v_a[/tex] = 1.23 m/s

[tex]v_b[/tex] = 0.759 m/s

By using the law of conservation of momentum, we get

⇒ [tex]P=\sqrt{P_1^2+P_2^2}[/tex]

⇒     [tex]= \sqrt{(m_av_a)^2+(m_bv_b)^2}[/tex]

On substituting the values, we get

⇒     [tex]=\sqrt{(27.4\times 1.23)^2+(49.4\times 0.759)^2}[/tex]

⇒     [tex]=\sqrt{1135.82+1405.84}[/tex]

⇒     [tex]=50.41 \ kg-m/s[/tex]

As we know,

⇒ [tex]P=(m_1+m_2)v[/tex]

Then,

⇒ [tex]v=\frac{P}{m_1+m_2}[/tex]

On substituting the values, we get

⇒    [tex]=\frac{50.41}{27.4+49.4}[/tex]

⇒    [tex]=\frac{50.41}{76.8}[/tex]

⇒    [tex]=0.65 \ m/s[/tex]

The diagram below shows the beaks of five species of birds that developed over time from
one parent species. The five species of birds can be found living in the different areas. Which
of the following BEST explains why the beak shape of each species of bird developed
differently? * 5
(1 Point)
A. Birds in different areas were able to make different birdcalls and songs.
O
B. Birds in different areas were exposed to different food sources.
C. Birds in different areas had different materials to make nests.
o o
D. Birds in different areas had different predators to defend or hide from.

Answers

Answer:

Birds in different areas were exposed to different food sources.

Explanation:Im almost 100 percent this is it.

Answer:

the answer is B

Explanation:

i did test on preformance

is this correct and why​

Answers

Answer:

correct ooooooooooooo

A ball is thrown so that its speed increases by 20 m/s in 10 seconds. What is the ball’s acceleration?

Answers

Answer: a= 2 m/s²

Explanation: acceleration = change of speed/ time = 20 m/s / 10 s

What are the recent developments in gene therapy?

Answers

Stanford researchers are poised to use stem cells and gene therapy to ameliorate a wide swath of diseases, from common diagnoses such as diabetes and cancer to rare diseases of the brain, blood, skin, immune system and other organs

What are some possible injuries that can occur as a result of anabolic steroid use?

Answers

Most data on the long-term effects of anabolic steroids in humans come from case reports rather than formal epidemiological studies. Serious and life-threatening adverse effects may be underreported, especially since they may occur many years later. One review found 19 deaths in published case reports related to anabolic steroid use between 1990 and 2012; however, many steroid users also used other drugs, making it difficult to show that the anabolic steroid use caused these deaths.39 One animal study found that exposing male mice for one fifth of their lifespan to steroid doses comparable to those taken by human athletes caused a high frequency of early deaths
high blood pressure, blood clots, heart attacks, stroke, artery damage, peliosis hepatis tumors, short stature (if taken by adolescents),tendon injury, aggression,
mania, delusions, severe acne and cysts, oily scalp and skin,abscess at injection site and jaundice. In men: decreased sperm production, enlarged breasts,shrinking of the testicles
male-pattern baldness, testicular cancer. In female: voice deepening,decreased breast size,coarse skin,excessive body hair growth, male-pattern baldness.

four examples of compounds which are classed as carbohydrate​

Answers

Answer:

Carbohydrates are divided into four types: monosaccharides, disaccharides, oligosaccharides, and polysaccharides. Monosaccharides consist of a simple sugar; that is, they have the chemical formula C 6 H 12 O 6. Disaccharides are two simple sugars. Oligosaccharides are three to six monosaccharide units, and polysaccharides are more than six.

Background information:
We know that power is the rate that work is done; what that
really means is that power tells up how much work is done every
second. To calculate power we just divide the amount of work that
was done by the time it took to do it (Power=work/time). Work is
measured in Joules and time is measured in seconds, we end up with Joules/sec when we calculate power. A Joule/sec is a Watt; we’ll use Watts to measure and compare power.
We also know that the work done on an object is the amount of energy it has gained. For this activity, you’ll be raising your body up as you do pushups which means you’ll be giving your body gravitational potential energy (GPE). To calculate the amount of GPE we multiply mass time gravity times the height raised (GPE=mgh).
What to do (record everything in the table):
1. You need to have a decent estimate of your mass in kilograms: On earth, every
kilogram weighs 2.2 pounds. Either measure your weight on a scale or just
estimate it (in pounds) then divide by 2.2 to get your mass in kilograms.
2. Measure or estimate the length of your upper arm from your elbow to your
shoulder in centimeters...this is how high you raise yourself for every pushup.
3. Decide if you’ll do regular pushups (on your toes) or simpler pushups (knees). If
you are doing regular pushups, multiply your mass by 0.68 because you’ll only be lifting about 68% of your mass each time; if you’re doing simpler pushups, multiply your mass by 0.52 because you’ll only be lifting about 52% of your mass each time.
4. Measure the time it takes for you to do 10 pushups.

Answers

Answer:

Power is the rate at which work is done. It is the work/time ratio. Mathematically, it is computed using the following equation. The standard metric unit of power is the Watt.

Explanation:

Need this homework for today so help 50 point

Answers

Number one- the pendelum slowly reduces energy and eventually loses everything and will stand still.
Number two- I can account due to the factor of it repeating the same result

A thermionic tube with only a cathode and an anode is called?​

Answers

A vacuum tube consists of cathode (also called as filament), anode (also called as plate), and electrode (also called as grid). Cathode is an electron emitter that emits the free electrons whereas anode is an electron collector that collects the free electrons.
I hope this helps.
The correct answer is diode.

The chemical energy in your food is
transformed into what type of energy in
your moving muscles?
A. Light
B. Mechanical
C. Sound
D. Electromagnetic

Answers

Answer:

Electromanetic

Explanation:ESPERO TE AYUDE

Run Gizmo: Orbital velocity is the velocity needed to make a circular orbit. Use the Gizmo to find the orbital velocity of the ball on Venus. Make the orbit as circular as you can.

What is the orbital velocity on Venus?


Do the same on Earth. What is the orbital velocity on Earth?


Based on this, which planet do you think has stronger gravity, Venus or Earth? Explain

This is a science gizmo my science teacher it would rlly help to get answers. Thx.

Answers

Answer:

Hmm i need more info

Explanation:

In which areas of the diagram does conduction occur?

W and X
X and Z
Y and Z
Z and W

Answers

The molecules vibrate at their position and transfer heat to the neighboring molecules. In the diagram conduction takes place at X and Z

B: X and Z

for the people in the back

T=
Circumference of the earth
Speed/Velocity
.. a =
R
r
Where R = radius of the earth taken as 6.3
above the surface of the earth, g = accelera
acceleration du
velocity of the satellite.
Mv2
y2 v2
= Ma
5) The velocity of light is 3x108m/s. How long does it take a
reach the earth from the sun, which is 1.5x10 m away?
The radius of the moon is (3.65) of the radius of the earth
the acceleration due to gravity of the moon is of that one
earth's surface. Calculate the mass of the moon. (Ans
7.46x1022kg)
Calculate the escape velocity of a satellite from the earth's surface
(G = 6.7x10-11Nm?kg-?, mass of the earth = 6x1024kg and i the
earth's radius = 6.4x10ºm)
A centripetal force of 1N is used to keep a 0.1kg yoyo moving in
horizontal circle of radius 0.7m. What is the yoyo's velocity?
6​

Answers

Answer:

ummm what the hell

Explanation:

In Bohr's model, the position of the electron (with the monochromatic light on)... Group of answer choices is restricted to orbits or certain radii, but the electron may be observed between these orbits when it moves. is restricted to orbits of certain radii around the nucleus. The position may change, but it must be in one of these orbits. is not constrained. The electron may be found anywhere outside of the nucleus.

Answers

Answer:

True.  it is restricted to the orbits of certain radii around the nucleus.

The position can change, but it must be in one of these orbits

Explanation:

In this exercise some affirmations are given and you must select which ones are correct, for this we review the Bohr atomic model that has the following postulates:

* the orbits are circular

* Only certain orbits are stable, stationary state

* the radiation emitted is the difference in energy between two stable orbits

* the size of the orbit is given by the quantization of the angular momentum

             L = n [tex]\hbar[/tex]

When reviewing the different statements, the correct one is:

* it is restricted to the orbits of certain radii around the nucleus.

The position can change, but it must be in one of these orbits

What is the legal BAC for teens in the state of California?

Answers

Underage drivers (motorists who are under the age of 21) who operate a vehicle while “under the influence” or with a blood alcohol concentration (BAC) of . 08% or higher can be charged with a “standard” DUI and generally face the same penalties as drivers who are at least 21 years old.

Select the correct answer.
Which theory was first proposed by Albert Einstein?
OA. the theory of special relativity
O B. the theory of universal gravitation
c. the theory of inertia
OD. the theory of radioactivity

Answers

Answer:

A. the theory of special relativity.

Explanation:

The theory of special relativity was first proposed theory by Albert Einstein.

Hope it will help :)❤

A the special of relativity

What are the differences between atoms, molecules, and compounds?

Answers

Answer:

Atoms are the thing that make up molecules and compounds. Molecule. Two or more atoms joined together with covalent bonds. Molecules contain two or more atoms and are held together by covalent bonds, whereas compounds are held together by ionic bonds. Compound. Two or more elements bonded together through ionic attraction.

I need help! thank you

Answers

Answer:

it is coice A and choice D

Why is manganin wire is thicker than copper wire? ​

Answers

Answer:

Manganin is an alloy of Cu with manganese and nickel. Since the latter two metals have resistivity greater than copper, the pure copper has lower resistivity and the manganin thus has to be thicker to have the same resistance.

I HOPE IT WILL HELP U.....

#VERIFIED ANSWER
Manganin is an alloy of Cu with manganese and nickel. Since the latter two metals have resistivity greater than copper, the pure copper has lower resistivity and the manganin thus has to be thicker to have the same resistance.

If the delay of the 10-bit adder is 1ns, the setup time, the hold time, and the propagation delay of the registers is 0.3 ns, 0.1 ns, and 0.2 ns, respectively. The minimum cycle time is ns_____.

Answers

Answer:

1.6 ns

Explanation:

Given data :

delay in 10-bit adder = 1ns

setup time = 0.3 ns

hold time = 0.1 ns

propagation delay = 0.2 ns

calculate the minimum cycle time

∑ delay + setup time + hold time + propagation delay

= 1 + 0.3 + 0.1 + 0.2

= 1.6 ns

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