******PLEASE EXPLAIN STEP BY STEP***** Your starship, the Aimless Wanderer, land
ID: 1497706 • Letter: #
Question
******PLEASE EXPLAIN STEP BY STEP*****
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 14.0 m/s returns to the ground in 5.10 s ; the circumference of Mongo at the equator is 2.50×105 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 =
1.30×1026 kg
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Correct
Part B
If the Aimless Wanderer goes into a circular orbit 20,000 km above the surface of Mongo, how many hours will it take the ship to complete one orbit?
t =
h
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Explanation / Answer
A)
time of flight
T = 2U/g
g = 2u/T = 5.49 m/sec^2
GM/R^2 = 5.49
give 2piR = 2.5 x 10^5 km = 0.39788 x 10^5 km
substituting we get
M = 1.3 x 10^26 kg
B)
GMm/r^2 = mw^2 r
w = sqrt ( GM/r^3)
r = (0.397+0.2) 10^5 km
w = 0.00020
2pi/T = w
T = 2pi/w
T = 31194.23sec
T = 8.665 hr
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