Math

posted by .

The average radius r in meters of a planet's path around the sun is given by the formula r=[(3.35 x 10^18)t^2]^1/3, where t is the time in seconds that it takes the planet to go around the sun.

a. Rewrite the equation using the root symbol.
b. Neptune takes about 5.2 x 10^9 seconds to go around the sun. What is the average radius of Neptune's ath around the sun?
c. The time it takes a planet to go around the sun is called a year. Compare Neptune's year with Earth's year. Which planet has the longer year? How much longer is it.?

  • Math -

    b. Neptune takes about 5.2 x 10^9 seconds to go around the sun. What is the average radius of Neptune's ath around the sun?
    c. The time it takes a planet to go around the sun is called a year. Compare Neptune's year with Earth's year. Which planet has the longer year? How much longer is it.?

    b-Since the planet;s period is defined by P = 2Pisqrt(r^3/µ), where r == the planets orbital radius and µ = the gravitational constant of the sun, solving for r yields r = (µP^2/4Pi^2)^(1/3).
    Thus,
    r = [4.68772x10^21(5.2x10^9)/4Pi^2]^1/3 = 2,794,059,276 miles.

    c-Substitute the Earth's mean radius, 92,960,242 miles, and Neptunes mean radius, just calculated, into the expression for period given above, to get the comparison of orbital periods.

  • robkget gphfidcj -

    onifxa zxfyevgdc gqlbv vrqftkej egisobanj zulfmv agfwcy

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    The period of revolution of a planet around the sun is the time it takes for the planet to complete one orbit of the sun. The period, P years, is give by Kepler's third law P^2=D^3, where D is the average distance from the sun in astronomical …
  2. physics help 3!! **

    Based on the following data about planet X (which orbits around the Sun): Planet X's distance from Sun = 3.6*1012 m Planet X's radius = 2*106 m Planet X's mass = 8.2*1022 kg a.) Find gx, the size of the acceleration due to gravity …
  3. Astronomy

    Orbital speed is the speed with which a planet moves around the sun. The speed is determined by: a)the mass of the planet only b) the mass of the sun only c)both the mass of the planet and the mass of the sun d)the mass of the planet …
  4. social studies 5thgrade

    Does the size of the planet affect the time it takes for one revolution around the Sun?
  5. Physics

    The planet pluto travels once around the sun every 248 years at a mena distance from the sun of 5890x10^6 km. Find its orbital speed around the sun in (m/s).
  6. earth

    planet is in circular orbit around the Sun. Its distance from the Sun is 2.9 times the average distance of Earth from the Sun. What is the period of this planet, in Earth years?
  7. Physics

    A planet with mass 7 x 1024 kg orbits a sun with a period of 1 Earth's years. The speed of the planet around that sun is constant and |v|=43000 m/s. What is the mass of that sun?
  8. Math

    the time x (in days), that it takes a planet to revolve around the sun can be approximated by the equation x=0.407√(d^3),where d is the mean distance of the planet from the sun in millions of miles. It takes Venus approximately …
  9. math

    If planet I is 31.8 million miles from the sun than planet II, then planet III is 25.6 million miles father from the sun than planet I. When the total of the distances for these three planets from the sun is 200.2 million miles, how …
  10. Science

    What distance was used to define the astronomical unit (AU) A. the average distance across the sun, its diameter B. the average distance from the sun to mercury, the closest planet C. the average distance from the sun to earth, our …

More Similar Questions