Physics

Problem

1.0\times10^{3}\,\text{kg}

satellite travels at

3.9\times10^{3}\,\text{m/s}

in a circular orbit of radius

3.0\times10^{7}\,\text{m}

around Earth. A brief outward thrust moves the satellite to a new circular orbit of radius

5.0\times10^{7}\,\text{m}

. Assuming the thrust is quick enough that the satellite’s angular momentum about Earth’s center is conserved during the maneuver, calculate the satellite’s speed in the new orbit.

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