The End of the Lunar Module. On Apollo Moon missions, the lunar module would bla

Question

The End of the Lunar Module. On Apollo Moon missions, the lunar module would
blast off from the Moon’s surface and dock with the command module in lunar orbit.
After docking, the lunar module would be jettisoned and allowed to crash back onto the
lunar surface. Seismometers placed on the Moon’s surface by the astronauts would then
pick up the resulting seismic waves. Find the impact speed of the lunar module, given
that it is jettisoned from an orbit 110 km above the lunar surface moving with a speed of 1630 m/s.

Explanation / Answer

Use Vf^2 = Vi^2 -2a(Xf-Xi) Vi = 1630m/s a = g at moon surface Xf = 110,000m Solve for Vf^2 Putting in the numbers Vf = sqrt (2656900 - 2(1.6m/s^2)(110,000)) = 1518m/s Because the gravity of the moon is so weak, the shuttle actually slows down to Vf

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