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12.47 Kepler's Laws and Planetary Data Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.47 Kepler's Laws and Planetary Data. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Kepler's Laws and Planetary Data: Use orbital data to identify Kepler-law relationships and compare planetary or satellite motion. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.47 - Kepler's Laws and Planetary Data: NGSS HS-PS2-1, HS-PS2-4; HS-ESS1 connections; CCSS HSN-Q.A, HSF-IF, HSG-MG; AP Physics 1 circular/gravitation topics; AP Physics C: Mechanics enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12.4; VA PH.2-PH.3; MA/CA/NY HS-PS2/ESS1.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Physics

Subject

Science

Domain

Science Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 12.47 Kepler's Laws and Planetary Data skill assessments:

Problem 1Difficulty: Mastery

A planet's orbit is drawn with the star at a focus. The left half of the ellipse contains a small close-in sector and the right half contains a wide far-out sector. Both sectors are shaded with equal area. What must be true?

AThe planet travels the same distance through both sectors.

BThe planet has the same speed throughout both sectors.

CThe planet's period is shorter in the close-in sector.

DThe planet takes the same time to travel through both sectors.

Solution & Explanation:Equal swept areas correspond to equal time intervals by Kepler's second law. The distances and speeds differ, but the time intervals are equal.

Problem 2Difficulty: Mastery

A satellite around a planet has period T at radius r. Engineers want a new satellite around the same planet with period T/8. What orbital radius should the new satellite have?

Ar/4.

Br/8.

Cr/2.

Dr/16.

Solution & Explanation:The radius ratio is (T ratio)^(2/3). If T_new/T = 1/8, then r_new/r = (1/8)^(2/3) = 1/4.

Problem 3Difficulty: Mastery

A planet has a 3-year period around Star A at 2 AU. Around Star B, a planet at 2 AU has a 6-year period. Which central mass comparison follows?

AStar A is 2 times as massive as Star B.

BStar B is 4 times as massive as Star A.

CStar A is 4 times as massive as Star B.

DThe stars have equal mass because the semimajor axis is the same.

Solution & Explanation:At the same semimajor axis, mass is inversely proportional to period squared. Since Star B's period is twice Star A's, Star A's mass is 2² = 4 times Star B's mass.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Physics Science students. It aligns with educational standard 12.47 (NGSS HS-PS2-1, HS-PS2-4; HS-ESS1 connections; CCSS HSN-Q.A, HSF-IF, HSG-MG; AP Physics 1 circular/gravitation topics; AP Physics C: Mechanics enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12.4; VA PH.2-PH.3; MA/CA/NY HS-PS2/ESS1.).