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
Andrei [34K]
3 years ago
5

To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover

his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit: a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant.
The potential energy U of an object of mass m that is separated by a distance R from an object of mass M is given by
U=−GMmR.

a. What is the kinetic energy K of the satellite?
b. Find an expression for the square of the orbital period.
Physics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

G M m / R^2 = m v^2 / R      centripetal force equals gravitational force

1/2 m v^2 = G M m / R  = KE    rearranging the above equation

T = 2 pi R / v     time for one revolution  (period)

T^2 = 4 pi^2 R^2 / v^2

From the very first equation     v^2 = G M / R

so T^2 = 4 pi^2 R^3 / (G * M)

You might be interested in
A hot air balloon travels 18 kilometers west and then travels 50 kilometers east. What is the current position of the hot air ba
Firlakuza [10]

Answer:

32 km east

Explanation:

In order to find the final position of the balloon, we need to calculate its total displacement.

We have:

- Displacement towards west: 18 km

- Displacement towards east: 50 km

The two vectors are on the same line: this means that we can simply add them together (taking into account the proper direction) to obtain the total displacement.

Taking east as positive direction and west as negative direction, we have:

d = 50 + (-18) = 50 - 18 = 32 km

And since it is positive, it means that the final position of the balloon is 32 km east from its initial position.

7 0
3 years ago
Carl went on a Euro Trip and was traveling from Spain to Russia. When he looked on the map it said Russia was 7035 km away from
bija089 [108]

Answer:

The average speed would be 279.167 meters per second.

Explanation:

Speed ​​is the magnitude that expresses the variation in position of an object and as a function of time. In other words, speed is defined as the relationship established between the distance traveled and the time elapsed in the movement of a mobile.

Speed can be calculated using the following expression:

Speed=\frac{distance}{time}

In this case:

  • distance= 7,035 km
  • time= 7 hours

Since the required unit of speed is meter per second, then you convert from km to meters for the case of distance, and from hours to seconds for the case of time. So:

  • distance= 7,035 km= 7,035,000 m (being 1 km= 1,000 m)
  • time= 7 hours= 420 minutes= 25,200 seconds (being 1 hour=60 minutes and 1 minute=60 seconds)

Replacing in the definition of speed:

Speed=\frac{7,035,000 meters}{25,200 seconds}

Solving:

Speed=279.167\frac{meters}{ seconds}

Then, <u><em>the average speed would be 279.167 meters per second.</em></u>

3 0
3 years ago
What makes the space shuttle different from conventional rockets?
Usimov [2.4K]
I bet it is too bad to get in it but I don’t want it in my anymore cause it’s a good boy to be mad cause he doesn’t even care anymore anymore lol
3 0
3 years ago
Question 11 Saved
BaLLatris [955]
2is the right anwser


8 0
3 years ago
Read 2 more answers
Oxidation and reduction are processes which
Firlakuza [10]

Answer:

Oxidation is increase in oxidation number while reduction is decrease in oxidation number.Redox is change in oxidation number.

4 0
3 years ago
Other questions:
  • You are throwing a ball straight up in the air. At the highest point, the ball’s
    7·1 answer
  • If the 78.0 kg astronaut were in a spacecraft 6R from the center of the earth, what would the astronaut's weight be on earth? 76
    8·1 answer
  • An electron moving along the x axis has an initial speed of 1 × 106 m/s at the origin. Its speed is reduced to 5 × 105 m/s at th
    10·1 answer
  • A bumblebee carries pollen from the male portion of a plant to the female portion of the same flower. Fertilization occurs. Whic
    12·1 answer
  • Janet wants to find the spring constant of a given spring, so she hangs the spring vertically and attaches a 0.63 kg mass to the
    12·1 answer
  • A grocery shopper tosses a(n) 8.9 kg bag of
    8·1 answer
  • A spring has a length of .200 m when a .300 kg hangs from it,and a length of .750 m when a 1.95 kg hangs from it.what is the for
    9·1 answer
  • 14. Convert 22 degrees celsius to fahrenheit.<br> Please show your work
    5·2 answers
  • A 40kg mass is pulled by a horizontal force of 200N, with a constant velocity. What is h^2?
    10·1 answer
  • 7. True or False : All the energy in the universe that exists right now is all there
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!