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AP® Physics C: Mechanics

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Orbits: A Baseball Entering Orbit

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The Earth has mass $M = 5.972 \times {10}^{24} kg$ and radius $R = 6372 km$. Suppose your friend wanted to throw a 145.0 g baseball parallel to the ground from a hot air balloon 20,000.0 m above sea level.

Neglecting air resistance and height changes of the landscape, at what speed $v$ would the baseball need to have after your friend throws it,​ to enter free-fall orbit and never fall to the ground?

A

3006 m/s

B

3011 m/s

C

7897 m/s

D

7909 m/s

E

141200 m/s