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
You are at a furniture store and notice that a Grandfather clock has its time regulated by a physical pendulum that consists of
artcher [175]

Answer:

The distance is 1.026 m.

Explanation:

mass of rod, M = 1.23 kg

Length, L = 1.25 m

mass, m = 10 kg

Time period, T = 2 s

Let the distance is d.

The formula of the time period is given by

T = 2\pi\sqrt\frac{\frac{1}{3}ML^2+md^2}{(M +m)g}\\\\2\times 2 = 4\pi^2\times \frac{\frac{1}{3}\times1.23\times1.25\times 1.25+ 10d^2}{(1.23 + 10)\times9.8}\\\\11.16  = 0.64 + 10d^2\\\\d= 1.026 m

3 0
2 years ago
1) When you hold your nose and go underwater, you can still hear sounds that are made above the water, in the air, if they are l
Deffense [45]

Answer:

Vibrations

Explanation:

That is why when under water it sounds muffled and you cannot hear clearly.

6 0
2 years ago
Read 2 more answers
If the lens in a person's eye is too highly curved, this person is suffering from?
Xelga [282]

If the lens in a person's eye is too highly curved, this person is suffering from: nearsightedness.

lens is a piece of transparent material (such as glass) that has two opposite regular surfaces either both curved or one curved and the other plane and that is used either singly or combined in an optical instrument for forming an image by focusing rays of light.

The lens is used to form an image of an object by focusing rays of light from the object.

Various types of lenses are :

  • Concave lens.
  • Convex lens.
  • Plano lens.

learn more about  lens here

brainly.com/question/9757866

#SPJ4

7 0
1 year ago
If the Earth got closer to the Sun, how would the gravity between the Sun and Earth change?
Neko [114]

Answer:

I think its 2. It would decrease

Explanation:

Hope this helps

4 0
2 years ago
Read 2 more answers
the metal wire in an incandescent lightbulb glows when the light is switched on and stops glowing when it is switched off. the s
Travka [436]
When the metal wire in an incandescent lightbulb glows when the light is switched on and stops glowing when it is switched off, this is an example of resistance, which provides light and heat. 
3 0
3 years ago
Other questions:
  • How does gravity make a star
    14·1 answer
  • Which statement is true?
    12·1 answer
  • a parallel circuit has two 8.0 ohm resistors and a power source of 9.0 volts. Of a 12.5 ohm resistor is added to the circuit in
    8·2 answers
  • You are heating a beaker of a chemical solution of an open flame. All of the following procedures must be followed a expect
    11·1 answer
  • a block is 2cm wide, 5.4cm deep, and 3.1cm long. the density of the block is 8.5g/cm. what is the mass of the blocks?
    8·1 answer
  • 1) Which one of the following is vector,<br>B) Momentum<br>C) Mass<br>A) Energy<br>D) Temperature​
    12·1 answer
  • A 550N object has a coefficient of .012 against a smooth surface. What
    7·1 answer
  • What is it known as when a force is applied to an object for an amount of time?
    11·2 answers
  • A potted plant falls from a window sill and is gaining speed. which one of the following statements is true of the plant?
    9·1 answer
  • A block slides along a frictionless surface and onto a slab with a rough surface. The slab has mass of 4 kg and the block has ma
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!