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You are standing on a planet with a radius 10,000kilometers. It's mass is 10^26 kg. What is the planet's escape velocity from where your standing? Ignore rotation of the planet.

  • earth -

    (1/2) m Vescape^2 = G m M/R
    The term on the right is the potential energy change necessary to escape.
    m is the object's mass (which cancels out)
    M is the planet's mass
    G is the universal gravity constant

    Vescape = sqrt(2G*M/R)

    Do the numbers

  • earth -

    vescape=sqrt(2g*m/r)

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