Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive charge of 9A = 4400 C. They would like to place their ms = 3.3 x 105 kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of -1.2 C. What speed must their spaceship have to achieve a 7500-km- diameter circular orbit? qs = A, MA + gs, Ms
Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive charge of 9A = 4400 C. They would like to place their ms = 3.3 x 105 kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of -1.2 C. What speed must their spaceship have to achieve a 7500-km- diameter circular orbit? qs = A, MA + gs, Ms
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Transcribed Image Text:Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid
that happens to have a positive charge of qA 4400 C. They would like
to place their ms = 3.3 x 105 kg spaceship in orbit around the asteroid.
Interestingly, the solar wind has given their spaceship a charge of qs =
-1.2 C. What speed must their spaceship have to achieve a 7500-km-
diameter circular orbit?
qA, MA
=
+
2
9.gs, ms
FIG. 3: The scheme for Problem 2
a) In Fig. 2, draw the vectors that represent the gravitational and
electric forces experienced by the satellite. Compute the magnitudes of
these forces. (Note: Do not use the formula |F|
9.8 ms 2, to compute the gravitational force, because that formula is valid only at low altitudes, and only
for the gravitational field of the Earth. Instead, use Newton's law of gravity, F = Gmams, where G is the
gravitational constant, and R is the radius of the orbit.)
= msg, where g
R²
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