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
inna [77]
3 years ago
5

A satellite orbits earth with a mean altitude of 361 km. If the orbit is circular, what are the satellite's time period and spee

d?
Physics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

v = 7.69 x 10³ m/s = 7690 m/s

T = 5500 s = 91.67 min = 1.53 h

Explanation:

In order for the satellite to orbit the earth, the force of gravitation on satellite must be equal to the centripetal force acting on it:

F_{gravitation}= F_{centripetal}\\\\\frac{GM_{s} M_{E}}{r^2}  = \frac{M_{s} v^2}{r}\\\\\frac{GM_{E}}{r} = v^2\\\\v = \sqrt{\frac{GM_{E}}{r} } \\\\

where,

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

Me = Mass of Earth = 5.97 x 10²⁴ kg

r = distance between the center of Earth and Satellite = Radius of Earth + Altitude = 6.371 x 10⁶ m + 0.361 x 10⁶ m = 6.732 x 10⁶ m

v = orbital speed = ?

Therefore,

v = \sqrt{\frac{(6.67 x 10^{-11}N.m^2/kg^2)(5.97 x 10^{24} kg)}{6.732 x 10^6 m} }\\\\

<u>v = 7.69 x 10³ m/s</u>

For time period satellite completes one revolution around the earth. It means that the distance covered by satellite is equal to circumference of circle at the given altitude.

So, its orbital speed can be given as:

v = \frac{Circumference of Circle at Given Altitude}{T}\\\\v =  \frac{2\pi r}{T}\\\\

where,

T = Time Period of Satellite = ?

Therefore,

T = \frac{2\pi r}{v}\\\\T = \frac{(2\pi )(6.732 x 10^6 m}{7.69 x 10^3 m/s}\\\\

<u>T = 5500 s = 91.67 min = 1.53 h</u>

You might be interested in
A car of mass 500kg travelling at 60m/s has it speed reduced to 40m/s by a constant breaking force over a distance of 200m. find
uranmaximum [27]

Answer:

Ek1 = 900000 [J]

Ek1 = 400000 [J]

Explanation:

In order to solve this problem we must remember that kinetic energy is defined as the product of mass by velocity squared by a medium. Therefore using the following equation we have:

E_{k1}=\frac{1}{2}*m*v1^{2}

where:

m = mass = 500 [kg]

v1 = 60 [m/s]

So we have:

Ek1 = 0.5*500*(60^2)

Ek1 = 900000 [J]

and:

Ek2 = 0.5*500*(40^2)

Ek2 = 400000 [J]

6 0
3 years ago
A glass rod with yellow crosses on it touches a sheet of silk covered with negative signs on it. the sheet of silk is sticking t
forsale [732]

The image as shown here can here can be used to describe charging by induction.

<h3>What is a charge?</h3>

A charge may be positive or negative. One of the methods of transferring a charge is by induction.

In this case, an objects induces an opposite charge on a material.  The image as shown here can here can be used to describe charging by induction.

Learn more about charging by induction:brainly.com/question/10254645

#SPJ4

5 0
2 years ago
Under normal circumstances: _________
Nuetrik [128]

Answer:

Fetal Hb binds oxygen more tightly than adult Hb (not option a)

3 0
3 years ago
What mass has a rest energy of 100J?
alexandr1967 [171]

Answer:

option a is correct

Explanation:

<h2>I hope it's help you ❣️❣️</h2>
6 0
3 years ago
A 21.7kg child descends a slide 3.5 m high and reaches the bottom with a speed of 2.2m/s. How much thermal energy due to frictio
nadya68 [22]

Answer:

Subtract the kinetic energy at the bottom from the potential energy loss. The remainder becomes frictional heat.

Potential energy loss:

M g H = 21.7*9.81*3.5 = 745.1 J

Kinetic energy at bottom of slide:

= (1/2) M v^2 = 52.5 J

5 0
3 years ago
Other questions:
  • Fortnite is Soooooooooooooo trash apex legends is better lol
    5·2 answers
  • At one particular moment, a 15.0 kg toboggan is moving over a horizontal surface of snow at 4.40 m/s. After 7.50 s have elapsed,
    11·1 answer
  • I takes you 42 minutes to travel 32 miles to Ann Arbor. What was your<br> speed getting there?
    12·1 answer
  • When you share photos on sites like Pinterest and​ Instagram, you may be participating in research that tracks consumption patte
    8·1 answer
  • A skater extends her arms horizontally, holding a 5-kg mass in each hand. She is rotating about a vertical axis with an angular
    10·2 answers
  • Explain why a real image must be produced in a camera and how the object and the lens are positioned to produce a real image whi
    12·1 answer
  • An object weighs 15N in air and 13N when completely
    10·1 answer
  • When a monochromatic light of wavelength 433 nm incident on a double slit of slit separation 6 µm, there are 5 interference frin
    14·1 answer
  • This is for science someone please help me ASAP I’ll give you brainlest
    7·1 answer
  • What is the most significant change in the comet's energy as it moves from
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!