physics

A planet orbits the sun at a distance of 2.87 x 10^9 km. If the mass of the sun is 1.99 x 10^30 kg, find the orbital period of the planet. Then, calculate the orbital speed of the planet.

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  1. R = 2.87 * 10^12 meters
    G =6.67*10^-11

    G m M = m v^2/R
    so
    v^2 = G M R
    find speed v
    then 2 pi R/v = period

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    Damon
  2. I don't understand

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  3. Google Newton, universal gravitation F = G m M /R^2
    and gravitational force = mass times centripetal acceleration (m v^2/R)

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    Damon
  4. sorry, made algebra error
    R = 2.87 * 10^12 meters
    G =6.67*10^-11

    G m M/R^2 = m v^2/R
    so
    v^2 = G M / R
    find speed v
    then 2 pi R/v = period

    1. 👍
    2. 👎
    👤
    Damon

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