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Radius of the Moon = 1.74 x 106 m

Lunar Module Mass 5.56 x 103 kg

G = 6.67 x 10-11 Nm2 / kg2

4. In Apollo's lunar program, the command module orbits the Moon, while the lunar module lands on the surface of the Moon. The command module's orbit was circular and was 110 km above the Moon's surface. The speed of the orbit was uniform and lasted 2.00 hours. Determine the centripetal force on the module

Answer #1

First we have to determine the mass of moon from the time period of satellite ( 2.00 h ),

Rearranging for the Mass of Moon,

r is the total height of satellite revolution,

T period of satellite revolution,

Substituting,

Now, Centripetal Force is supplied by Gravitational Force,

Mass of Module,

Substituting,

In Apollo's lunar program, the command module, orbits the
Moon, while the lunar module lands on the Moon's surface. The
command module's orbit was circular and was 100 km above the Moon's
surface. The speed of the orbit was uniform and lasted 2.00
hours.
1) Determine the tangential velocity of the module in m/
s
2) Determine the centripetal acceleration of the 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 100 km above the lunar surface moving...

mearth = 5.9742 x 1024 kg
rearth = 6.3781 x 106 m
mmoon = 7.36 x 1022 kg
rmoon = 1.7374 x 106 m
dearth to moon = 3.844 x 108 m (center to center)
G = 6.67428 x 10-11 N-m2/kg2
103 kg satellite is orbitting the earth in a circular orbit with
an altitude of 1500 km.
1) How much energy does it take just to get it to this
altitude?
2) How much kinetic energy does it have...

1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a
radius of 3.3 x 106 m, and no atmosphere. A 10 kg space probe is to
be launched vertically from its surface. (a) If the probe is
launched with an initial kinetic energy of 5.0 x 107 J, what will
be its kinetic energy when it is 4.0 x 106 m from the center of
Zero? (b) If the probe is to achieve a maximum distance of...

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