Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 13.0 m/s returns to the ground in 5.10 s ; the circumference of Mongo at the equator is 2.80×105 km ; and there is no appreciable atmosphere on Mongo.
Part A
The starship commander, Captain Confusion, asks for the following information: what is the mass of Mongo?
Express your answer with the appropriate units.
m= ____
Part B
If the Aimless Wanderer goes into a circular orbit 40,000 km above the surface of Mongo, how many hours will it take the ship to complete one orbit?
t= ____ h
a = delta v / delta t
delta v = 13 m/s - (-13 m/s) = 26 m/s , delta t = 5.10 s
a = 26 / 5.10 = 5.1 m/s2
r = c / (2 pi) = ( 2.80 * 105 km) / 2 pi
r = 439823 km
a = M G / r2
M = a r2 / G M = (5.1 ) (439823 * 103m)2 / (6.67 * 10-11)
M = 1.48 * 1028 kg
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a = g sqrt (r / (r+h))
a = (5.1) * sqrt (4.39 x105 km / (4.39 x105 km + 40000 km) )
a = 4.88 m/s2
a = v2 / r , v = (2 pi r) / P
a = ((2 pi r) / P )2 / r
P2 = (2 pi )2 r / a
P = 2 pi * sqrt (r/a)
= 2 pi * sqrt (4.39 x108 m / 4.88)
P = 16.55 hours
Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make...
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Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make the following measurements: A 2.50 kg stone thrown upward from the ground at 11.0 m/s returns to the ground in 4.80 s; the circumference of Mongo at the equator is 2.00×105km; and there is no appreciable atmosphere on Mongo. Part A The starship commander, Captain Confusion, asks for the following information: What is the mass of Mongo? Express your answer with the appropriate units....
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