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? = AMA 0.gs, ms

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter23: Electric Forces
Section: Chapter Questions
Problem 6PQ: A sphere has a net charge of 8.05 nC, and a negatively charged rod has a charge of 6.03 nC. The...
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b) For the spaseship to stay in equilibrium on the circular orbit, the total force acting on the spaceship
should provide the acceleration a v²/R, directed inwards (remember that a circular motion is an accel-
erated motion, because the velocity keeps changing direction, even if its magnitude is constant). Using
Newton's second law of motion for the spaceship, Ftot = msa, where Ftot is the total force acting on the
spaceship, find the required velocity.
Transcribed Image Text:b) For the spaseship to stay in equilibrium on the circular orbit, the total force acting on the spaceship should provide the acceleration a v²/R, directed inwards (remember that a circular motion is an accel- erated motion, because the velocity keeps changing direction, even if its magnitude is constant). Using Newton's second law of motion for the spaceship, Ftot = msa, where Ftot is the total force acting on the spaceship, find the required velocity.
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
0.gs, Ms
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 0.gs, Ms
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