You are visiting a newly discovered exoplanet (mass M and radius R) that completes one rotation about its axis every 12 hours (Earth hours). You place your spaceship in a geostationary orbit at an altitude h = 6R above the planet's surface. While in orbit you decided to beam down to the planet to investigate the surface. While on the surface you perform a simple kinematics experiment and discover that the gravitational acceleration at the surface is ap = 0.60g, where g is the gravitational acceleration on the Earth's surface. You can assume that the exoplanet is a uniform sphere, and that your spaceship's orbit is circular. Note: A geostationary orbit is a special type of geosynchronous orbit where the satellite/spaceship remains at the same position above the equator throughout its orbit. Technically the prefix "geo" indicates the Earth, but we'll go ahead and use the term here in reference to this new planet. (a) What is the radius of the planet? R = km (b) What is the mass of the planet? M = kg

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You are visiting a newly discovered exoplanet (mass M and radius R) that completes one rotation about its axis every 12 hours (Earth hours). You place your spaceship in a
geostationary orbit at an altitude h = 6R above the planet's surface. While in orbit you decided to beam down to the planet to investigate the surface. While on the surface
you perform a simple kinematics experiment and discover that the gravitational acceleration at the surface is ap = 0.60g, where g is the gravitational acceleration on the
Earth's surface. You can assume that the exoplanet is a uniform sphere, and that your spaceship's orbit is circular.
Note: A geostationary orbit is a special type of geosynchronous orbit where the satellite/spaceship remains at the same position above the equator throughout its orbit.
Technically the prefix "geo" indicates the Earth, but we'll go ahead and use the term here in reference to this new planet.
(a) What is the radius of the planet?
R =
km
(b) What is the mass of the planet?
M =
kg
Transcribed Image Text:You are visiting a newly discovered exoplanet (mass M and radius R) that completes one rotation about its axis every 12 hours (Earth hours). You place your spaceship in a geostationary orbit at an altitude h = 6R above the planet's surface. While in orbit you decided to beam down to the planet to investigate the surface. While on the surface you perform a simple kinematics experiment and discover that the gravitational acceleration at the surface is ap = 0.60g, where g is the gravitational acceleration on the Earth's surface. You can assume that the exoplanet is a uniform sphere, and that your spaceship's orbit is circular. Note: A geostationary orbit is a special type of geosynchronous orbit where the satellite/spaceship remains at the same position above the equator throughout its orbit. Technically the prefix "geo" indicates the Earth, but we'll go ahead and use the term here in reference to this new planet. (a) What is the radius of the planet? R = km (b) What is the mass of the planet? M = kg
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