Free Printable WorksheetScienceGrade 12Science Curriculum12.44

12.44 Universal Gravitation Worksheet

Download our free printable Physics Science worksheet on 12.44 Universal Gravitation. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.44 Universal Gravitation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Universal Gravitation: Apply Newton's law of gravitation to compare gravitational forces for changes in mass and distance. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.44 - Universal Gravitation: Corresponding standards/alignment: 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 12.44 Universal Gravitation skill assessments:

Problem 1Difficulty: Mastery

Two objects each have their masses multiplied by the same factor a, and the distance between centers is multiplied by factor b. Which condition makes the gravitational force unchanged?

Aa = b²

Ba² = b

Ca = 1/b

Da = b

Solution & Explanation:The mass product gets a factor a², and the distance squared gets a factor b². The force is unchanged when a²/b² = 1, which requires a = b for positive scale factors.

Problem 2Difficulty: Mastery

Planet C has 1/16 the mass of Planet D, but a probe is placed at 1/4 the distance from Planet C's center as from Planet D's center. The probe mass is the same. How do the gravitational forces compare?

APlanet C pulls 1/16 as strongly.

BPlanet C pulls 4 times as strongly.

CThe forces are equal.

DPlanet D pulls 4 times as strongly.

Solution & Explanation:Planet C's mass factor is 1/16, but its distance factor is 1/4, which increases force by 16 through the inverse square. The factors cancel, so the forces are equal.

Problem 3Difficulty: Mastery

A display shows four possible changes from a reference setup. Which change would make the force exactly twice as large?

AChange to mass 2m and distance 2r, with the other mass unchanged.

BChange to mass 8m and distance 2r, with the other mass unchanged.

CChange to mass 4m and distance 4r, with the other mass unchanged.

DChange to mass m and distance r/2, with the other mass unchanged.

Solution & Explanation:The 8m at 2r change gives a factor of 8/4 = 2. The distractors give 1/2, 1/4, and 4, respectively.

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Frequently Asked Questions

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QIs this 12.44 Universal Gravitation worksheet free for teachers and homeschoolers?

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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 12.44 (Corresponding standards/alignment: 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.).