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12.42 Centripetal Force Models Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.42 Centripetal Force Models. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Centripetal Force Models: Select the force that provides centripetal acceleration and determine how mass, speed, radius, and force are related. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.42 - Centripetal Force Models: 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 12.42 Centripetal Force Models skill assessments:

Problem 1Difficulty: Mastery

Use the accompanying graph. A line of F versus 1/r for a 0.75 kg object has slope 12 N·m. What speed is represented by the data?

A2.0 m/s

B9.0 m/s

C16 m/s

D4.0 m/s

Solution & Explanation:For a graph of F versus 1/r, the slope equals mv². Thus v² = slope/m = 12/0.75 = 16, so v = 4.0 m/s.

Problem 2Difficulty: Mastery

Two equal-mass satellites orbit the same planet in circular orbits. Satellite A is at radius R, and Satellite B is at radius 9R. How does the gravitational centripetal force on B compare with that on A?

AIt is 1/9 as large.

BIt is 1/3 as large.

CIt is 1/81 as large.

DIt is the same.

Solution & Explanation:The gravitational force supplying centripetal force is proportional to 1/r². Increasing radius from R to 9R makes the force 1/9² = 1/81 as large.

Problem 3Difficulty: Mastery

An object attached to a rotating arm has constant mass. Its angular speed doubles while its radius is cut in half. How does the required centripetal force change?

AIt quadruples.

BIt doubles.

CIt stays the same.

DIt is cut in half.

Solution & Explanation:Using F = m omega² r, doubling angular speed gives a factor of 4, and halving radius gives a factor of 1/2. The total factor is 2.

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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 12.42 (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.).