Johannes Kepler Discovered That a Planet's Mean Distance $R$ From the Sun (In Astronomical Units)is Related to Its Period

question 55

Multiple Choice

Johannes Kepler discovered that a planet's mean distance $R$ from the sun (in astronomical units) is related to its period $T$ (in years) by the formula $R = \sqrt [ 3 ] { \frac { T ^ { 2 } } { k } }$ Find $R$ when $T = 1.881$ and $k = 1.002$ .

• A)1.52 AU
• B)1.22 AU
• C)1.37 AU
• D)1.35 AU
• E)1.45 AU

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Definitions:

Conduction

The process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or electrical potential.

Subduction Zone

A region where one tectonic plate moves under another, leading to volcanic activity and earthquakes.

Lithosphere

The rigid outer layer of the Earth, consisting of the crust and the uppermost part of the mantle, directly involved in plate tectonics and continental drift.

Asthenosphere

A region of the upper mantle of the Earth, below the lithosphere, where rocks are relatively soft and can flow slowly.