College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Planet X rotates on its axis with a period of T=32 hours. The mass of the planet
is M = 1.9 × 1025 kg. A spacecraft arrives in proximity to the planet and enters in a circular orbit that is
equal to the planet's period for the rotation about its axis, T.
M
as
eted
Calculate the orbital radius in meters.
R =
Expert Solution
Step 1
As per Kepler’s third law,
Here, T, G, M, and R represent the spacecraft’s orbital period, universal gravitational constant, the planet’s mass, and the orbit’s radius.
Now, it is given that the spacecraft’s orbital time period is the same as the planet’s rotational period.
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