figure 2. keplers 2nd law: equal areas in equal times.

5. multiple choice according to figure 2, when is a planet moving fastest in its orbit?
a. when it is closest to the sun
b. when it is farthest from the sun
c. its speed never changes
d. only when the orbit is perfectly circular

6. multiple choice which law states that planets sweep out equal areas in equal times?
a. keplers 1st law
b. keplers 2nd law
c. keplers 3rd law
d. newtons 1st law

7. written response a planet is much farther from the sun than earth. what can you predict about its year, and which kepler law supports your answer?

Question

figure 2. keplers 2nd law: equal areas in equal times.

5. multiple choice according to figure 2, when is a planet moving fastest in its orbit?
a. when it is closest to the sun
b. when it is farthest from the sun
c. its speed never changes
d. only when the orbit is perfectly circular

6. multiple choice which law states that planets sweep out equal areas in equal times?
a. keplers 1st law
b. keplers 2nd law
c. keplers 3rd law
d. newtons 1st law

7. written response a planet is much farther from the sun than earth. what can you predict about its year, and which kepler law supports your answer?

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Kepler's Second Law", "Kepler's First Law" ], "current_concepts": [ "Kepler's Second Law", "Kepler's First Law", "Kepler's Third Law" ] } ## Analyze planet speed from Figure 2 $$ \begin{aligned} &\text{Figure 2 label near Sun (perihelion): "Fast here"}\ &\text{Figure 2 label far from Sun (aphelion): "Slow here"}\ &\text{Conclusion: Planet moves fastest when closest to the Sun} \end{aligned} $$ ## Identify the law of equal areas $$ \begin{aligned} &\text{Figure 2 title: "Figure 2. Kepler's 2nd law: equal areas in equal times."}\ &\text{Conclusion: Kepler's 2nd law} \end{aligned} $$ ## Predict orbital period for a distant planet $$ \begin{aligned} &a_{\text{planet}} > a_{\text{Earth}} \implies T_{\text{planet}} > T_{\text{Earth}} \quad (\text{Kepler's 3rd Law: } T^2 \propto a^3)\ &\text{Prediction: The planet's year is much longer than Earth's year}\ &\text{Supporting Law: Kepler's 3rd law} \end{aligned} $$ ## Question 5 A. When it is closest to the Sun

B. When it is farthest from the Sun

C. Its speed never changes

D. Only when the orbit is perfectly circular ## Question 6 A. Kepler's 1st law

B. Kepler's 2nd law

C. Kepler's 3rd law

D. Newton's 1st law ## Question 7 Its year (orbital period) will be much longer than Earth's year, supported by Kepler's 3rd law. { "subject": "Natural Science", "question_type": "Multi-part", "knowledge_point": [ "Natural Science", "Physics", "Kepler's Laws of Planetary Motion" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze planet speed from Figure 2

Identify the law of equal areas

Predict orbital period for a distant planet

Answer:

Question 5

Question 6

Question 7