How Far Will Comet Halley Be from the Sun When

question 48

Multiple Choice

How far will Comet Halley be from the Sun when it reaches its farthest point from the Sun, or aphelion, if its sidereal period is 76 years? (Note: This calculation needs Kepler's law and a little care. Assume that the comet's perihelion distance from the Sun is negligible.)

• A) about 18 au, between the orbits of Saturn and Uranus
• B) about 1324 au, well beyond the orbit of Pluto
• C) about 9 au, between the orbits of Jupiter and Saturn
• D) about 36 au, between the orbits of Neptune and Pluto

Understand the implications of hypothetical, categorical, and disjunctive propositions.

Analyze the validity of syllogisms and recognize common logical fallacies.

Recognize and differentiate between types of hypothetical syllogisms (modus ponens, modus tollens, invalid forms).

Apply logical principles to translate informal statements into formal logical expressions.

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