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
yulyashka [42]
3 years ago
8

The altitude of the International Space Station ttt minutes after its perigee (closest point), in kilometers, is given by \qquad

A(t) = 415 - \sin\left(\dfrac{2\pi (t + 23.2)}{92.8}\right)A(t)=415−sin( 92.8 2π(t+23.2) ​ )space, A, left parenthesis, t, right parenthesis, equals, 415, minus, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, plus, 23, point, 2, right parenthesis, divided by, 92, point, 8, end fraction, right parenthesis. The International Space Station reaches its perigee once in every orbit. How long does the International Space Station take to orbit the earth? Give an exact answer.
Physics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

T = 92.8 min

Explanation:

Given:

The altitude of the International Space Station t minutes after its perigee (closest point), in kilometers, is given by:

                               A(t) = 415 - sin(\frac{2*\pi (t+23.2)}{92.8})

Find:

- How long does the International Space Station take to orbit the earth? Give an exact answer.

Solution:

- Using the the expression given we can extract the angular speed of the International Space Station orbit:

                                 A(t) = 415 - sin({\frac{2*\pi*t }{92.8} + \frac{23.2*2*\pi }{92.8} )

- Where the coefficient of t is angular speed of orbit w = 2*p / 92.8

- We know that the relation between angular speed w and time period T of an orbit is related by:

                                T = 2*p / w

                                T = 2*p / (2*p / 92.8)

Hence,                     T = 92.8 min

You might be interested in
A ball with a mass of 5 kg is accelerating at 5 m/s/s. What is the force acting on the ball?
Genrish500 [490]
Force is 25 N
F=ma
F=5x5
F=25 N
6 0
3 years ago
Read 2 more answers
A magnetically soft material is placed in a strong magnetic feild. what is the most likely outcome?
myrzilka [38]
So we want to know what will happen if we put a magnetically soft material in a strong magnetic field. A magnetically soft material is a material whose magnetic field can easily be reversed. Those are ferromagnetic materials. Iron is such a material. When a magnetically soft material is placed into a strong magnetic field it gets its own magnetic field. But its not a permanent magnetic field, it can be changed by a different strong magnetic field. 
5 0
3 years ago
A block slides down an incline plane that makes a 30 degree angle with the
Alona [7]

Hi there!

We know that:

Force due to gravity = Mgsinθ

Force due to friction = μMgcosθ

Let the positive direction be directed in the direction of the block's acceleration, which is downward.

Thus:

ΣF = Mgsinθ - μMgcosθ

Solving for acceleration requires diving all terms by the mass, so:

a = gsinθ - μgcosθ

Substitute in given values. (g = 9.8 m/s²)

a = 9.8sin(30) - 0.3(9.8)cos(30) = 2.354 m/s²

7 0
3 years ago
The small spherical planet called "Glob" has a mass of 7.88×1018 kg and a radius of 6.32×104 m. An astronaut on the surface of G
timama [110]

The orbiting speed of the satellite orbiting around the planet Glob is 60.8m/s.

To find the answer, we need to know about the orbital velocity a satellite.

<h3>What's the expression of orbital velocity of a satellite?</h3>
  • Mathematically, orbital velocity= √(GM/r)
  • G= gravitational constant= 6.67×10^(-11) Nm²/kg², M = mass of sun , r= radius of orbit

<h3>What's the orbital velocity of the satellite in a circular orbit with a radius of 1.45×10⁵ m around the planet Glob of mass 7.88×10¹⁸ kg?</h3>
  • Here, M= 7.88×10¹⁸ kg, r= 1.45×10⁵ m
  • Orbital velocity of the orbiting satellite = √(6.67×10^(-11)×7.88×10¹⁸/1.45×10⁵)

= 60.8m/s

Thus, we can conclude that the speed of the satellite orbiting the planet Glob is 60.8m/s.

Learn more about the orbital velocity here:

brainly.com/question/22247460

#SPJ1

6 0
2 years ago
A 5.36 kg object falls freely (ignore air resistance), after being dropped from rest. Determine the initial kinetic energy (in J
matrenka [14]

Answer: 52.53

Explanation:

m*g = 5.36k * 9.8N/kg = 52.53 N. = Wt.

of object.

a. KE = 0 J. = Initial KE

V^2 = Vo^2 + 2g*h

V^2 = 0 + 19.6*1 = 19.6

V = 4.43 m/s.

KE = 0.5m*V^2 = 2.68*4.43^2 = 52.59 J.

b. V^2 = Vo^2 + 2g*h

V^2 = 4.43^2 + 19.6*1 = 39.22

V = 6.26 m/s.

KEo = 2.68*4.43^2 = 52.59 J.

KE = 2.68*6.26^2 = 105 J.

6 0
3 years ago
Other questions:
  • What is the distance fallen for a freely falling object 1 s after being dropped from a rest position? What is the distance for a
    9·1 answer
  • Describe what happens to atom size as you go from left to right on the periodic table.
    6·1 answer
  • Which is a better conductor, metal or non metal
    11·1 answer
  • The average speed of a nitrogen molecule in air is about 6.70×102 m/s, and its mass is 4.68×10-26 kg.
    10·1 answer
  • As a marble rolls across the floor, it gradually slows to a stop due to friction. Which statement best describes the change in m
    9·1 answer
  • Bettina spoke into a microphone during the school play to increase the sound of her voice so the audience could hear her speak.
    14·2 answers
  • Elaborate on the reason why heating water up will increase the rate of dissolving for a solute.
    7·2 answers
  • A motorcycle moving at a constant velcoity suddenly accelerates at a rate of 4.0 m/s/s to a speed of 35 m/s in 5.0 s. What was t
    13·1 answer
  • Hydrogen and oxygen react to form water. At an atomic level, how do we know that a chemical reaction has occurred?
    5·1 answer
  • How many cm3 are there in 1 dm3?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!