Math

How do I solve the following word problem : A satellite orbits Earth in a circular path with equation x squared + y squared = 1.44 times 10 to the power of 8. With distances measured in kilometers. Another satellite orbiting in the same plane passes through the point (8000,9800). Is this satellite inside the orbit of the first one? Thank you.

---> Here's what I thought of this question.

1.I should use an equation, so perhaps r^2=(x)^2 + (y)^2.
2.I have to figure out what the radius is though, but I don't know what 10 the power of 8 is, once I do, that will be multiplied by 1.44, and that will be the radius of circle, therefore, any other point from the point of origin to the end point of the circle will be equivalent to what the answer of the first equation is.
As long as I can figure out what 10 to the power of 8 is, I can do the rest on my own. Considering that we are starting from the point of origin, (0,0) it will be 8000^2+9800^2=r^2 Thanks!

  1. 👍
  2. 👎
  3. 👁
  1. For the second part i got r=12650.69, am I correct?

    1. 👍
    2. 👎
  2. the equation of a circle is
    x^2 + y^2 = r^2 ---> radius is r

    yours:
    x^2 + y^2 = 1.44(10^8), so the radius is 1.2(10^4)

    you are correct to find
    8000^2 + 98000^2 = r^2
    r^2 = 9668000000
    = 9.668(10^9) , which is clearly > 1.44(10^8)

    So the point lies outside the circle of the first satellite.

    10^2 = 100
    10^3 = 1000
    10^4 = 10000 , can you see the pattern?
    ..
    10^8 = 100,000,000
    10^9 = 1,000,000,000 , clear bigger than 10^8 by a factor of 10

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physic

    What is the period of revolution of a satellite with mass m that orbits the earth in a circular path of radius 7820 km (about 1450 km above the surface of the earth)?

  2. physics

    The Navstar Global Positioning System (GPS) utilizes a group of 24 satellites orbiting the Earth. Using "triangulation" and signals transmitted by these satellites, the position of a receiver on the Earth can be determined to

  3. physics

    a geosynchronous satellite orbits at a distance from earth's center of about 6.6 earth radii and takes 24 h to go around once. what distance in meters does the satellite travel in one day? what is its orbital velocity in m /s?

  4. Astronomy

    The Hubble Space Telescope orbits at an altitude of 600 km above the Earth's surface. Assuming it is in a stable circular orbit, what is its velocity? For reference, the Earth's radius is 6400 km and Earth's mass is 6 x 10^24 kg.

  1. 465465

    A satellite is orbiting the earth just above its surface. The centripetal force making the satellite follow a circular trajectory is just its weight, so its centripetal acceleration is about 9.81 m/s2 (the acceleration due to

  2. PHYSIC

    1)What must be the orbital speed of a satellite in a circular orbit 740 above the surface of the earth? 2)What is the period of revolution of a satellite with mass that orbits the earth in a circular path of radius 8000 (about

  3. Physics

    If an artificial earth satellite is in an orbit around the earth’s equator with a period of exactly 1 day, how does its motion look to an observer on the rotating earth if it orbits in the same direction as the earth turns?

  4. physics

    3. A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 1024 kg. (a) Calculate the magnitude of the Earth's gravitational force on the satellite. (b) Determine the altitude of the

  1. physics

    A 540 kg satellite orbits at a distance from the Earth's center of about 5.4 Earth radii. What gravitational force does the Earth exert on the satellite

  2. physics

    A student argues that as a satellite orbits the earth in a circular path, it moves with a constant velocity and therefore has no acceleration. The professor claims that the student is wrong since the satellite must have a

  3. Math

    A geosynchronous equatorial orbiting satellite orbits 22,300 miles above the equator of Earth. It completes one full revolution each 24 hours. Assume Earth's radius is 3960 miles. a. How far will the GEO satellite travel in one

  4. physics

    a satellite orbits earth mass=5.98x10^24 once every 8 hours. At what radius does the satellite orbit

You can view more similar questions or ask a new question.