1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serhud [2]
3 years ago
8

What is the orbital period of a spacecraft in a low orbit near the surface of mars? The radius of mars is 3.4×106m.

Physics
1 answer:
valkas [14]3 years ago
6 0
<h2>Answer: 56.718 min</h2>

Explanation:

According to the Third Kepler’s Law of Planetary motion<em> </em><em>“The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”. </em>

In other words, this law states a relation between the orbital period T of a body (moon, planet, satellite) orbiting a greater body in space with the size a of its orbit.

This Law is originally expressed as follows:

T^{2}=\frac{4\pi^{2}}{GM}a^{3}   (1)

Where;

G is the Gravitational Constant and its value is 6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}

M=6.39(10)^{23}kg is the mass of Mars

a=3.4(10)^{6}m  is the semimajor axis of the orbit the spacecraft describes around Mars (assuming it is a <u>circular orbit </u>and a <u>low orbit near the surface </u>as well, the semimajor axis is equal to the radius of the orbit)

If we want to find the period, we have to express equation (1) as written below and substitute all the values:

T=\sqrt{\frac{4\pi^{2}}{GM}a^{3}}    (2)

T=\sqrt{\frac{4\pi^{2}}{(6.674(10)^{-11}\frac{m^{3}}{kgs^{2}})(6.39(10)^{23}kg)}(3.4(10)^{6}m)^{3}}    (3)

T=\sqrt{11581157.44 s^{2}}    (4)

Finally:

T=3403.1099s=56.718min    This is the orbital period of a spacecraft in a low orbit near the surface of mars

You might be interested in
What kind of units as force measured by
Readme [11.4K]

Answer:

Newtons

Explanation:

5 0
3 years ago
Read 2 more answers
which view of the macroeconomy suggests that the speed of adjustment Purcell correction would be very quick
horsena [70]

Rational expectations theory suggests that the speed of adjustment Purcell correction would be very quick.

<h3>What Is Rational Expectations Theory?</h3>

The rational expectations theory is a widely used concept and modeling technique in macroeconomics. Individuals make decisions based on three primary factors, according to the theory: their human rationality, the information available to them, and their past experiences.

The rational expectations hypothesis was originally suggested by John (Jack) Muth 1 (1961) to explain how the outcome of a given economic phenomena depends to a certain degree on what agents expect to happen.

  • People who have rational expectations always learn from their mistakes.
  • Forecasts are unbiased, and people make decisions based on all available information and economic theories.
  • People understand how the economy works and how government policies affect macroeconomic variables like the price level, unemployment rate, and aggregate output.

To learn more about Rational expectations theory from the given link

brainly.com/question/16479910

#SPJ4

7 0
2 years ago
What happens to a chemical reaction when the temperature is increased ?
Andrew [12]
It starts or speeds up.
Some substances need certain amount of energy in order to react with each other.

7 0
4 years ago
Read 2 more answers
Two arrows are shot vertically upward. the second arrow is shot after the first one, but while the first is still on its way up.
Neko [114]
<span>Now that you know the time to reach its maximum height, you have enough information to find out the initial velocity of the second arrow. Here's what you know about it: its final velocity is 0 m/s (at the maximum height), its time to reach that is 2.8 seconds, but wait! it was fired 1.05 seconds later, so take off 1.05 seconds so that its time is 1.75 seconds, and of course gravity is still the same at -9.8 m/s^2. Plug those numbers into the kinematic equation (Vf=Vi+a*t, remember?) for 0=Vi+-9.8*1.75 and solve for Vi to get....... 17.15 m/s</span>
7 0
3 years ago
Suppose a 4.0-kg projectile is launched vertically with a speed of 8.0 m/s. What is the maximum height the projectile reaches?
eduard

Answer:

h = 3.3 m (Look at the explanation below, please)

Explanation:

This question has to do with kinetic and potential energy. At the beginning (time of launch), there is no potential energy- we assume it starts from the ground. There, is, however, kinetic energy

Kinetic energy = \frac{1}{2}mv^{2}

Plug in the numbers = \frac{1}{2}(4.0)(8^{2})

Solve = 2(64) = 128 J

Now, since we know that the mechanical energy of a system always remains constant in the absence of outside forces (there is no outside force here), we can deduce that the kinetic energy at the bottom is equal to the potential energy at the top. Look at the diagram I have attached.

Potential energy = mgh = (4.0)(9.8)(h) = 39.2(h)

Kinetic energy = Potential Energy

128 J = 39.2h

h = 3.26 m

h= 3.3 m (because of significant figures)

7 0
3 years ago
Other questions:
  • Calculate the acceleration due to gravity on venus. the radius of venus is about 6.06 x 106 m and its mass is 4.88 x 1024 kg.
    11·1 answer
  • Select the best statement
    5·1 answer
  • cylinder of mass 6.0 kg rolls without slipping on a horizontal surface. At a certain instant its center of mass has a speed of 1
    7·1 answer
  • How does the gravitational force exerted on earth by the sun with that exerted by the moon
    12·1 answer
  • Which rock would have the fastest rate of weathering in a warm, wet climate?
    6·2 answers
  • 1. The activation energy to form interstitial carbon in iron at room temperature is around 0.77 eV, and in vanadium at room temp
    7·1 answer
  • Need physics help! (there’s a picture)
    11·1 answer
  • Be sure to answer all parts. Convert: (a) 29.8°C (the melting point of gallium) to degrees Fahrenheit °F (b) 172.9°F (the boilin
    5·1 answer
  • Plzz answer this question correctly
    14·1 answer
  • Dr. Prometheus wants to describe the attitudes of all 18-year-old Houstonians concerning the legalization of marijuana. She rand
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!