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12.59 Energy Bar Charts and System Boundaries Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.59 Energy Bar Charts and System Boundaries. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Energy Bar Charts and System Boundaries: Select the energy bar chart, pie chart, or system boundary that correctly represents an energy transfer. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.59 - Energy Bar Charts and System Boundaries: NGSS HS-PS3-1, HS-PS3-2, HS-PS3-3, HS-PS3-5; CCSS HSN-Q.A, HSA-CED.A, HSF-IF, HSS-ID; AP Physics 1 Unit 3; AP Physics C: Mechanics energy enrichment; TX TEKS Physics §112.45(c) energy; FL SC.912.P.10.1, SC.912.P.10.2; VA PH.4; MA/CA/NY HS-PS3.

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 12.59 Energy Bar Charts and System Boundaries skill assessments:

Problem 1Difficulty: Mastery

A cart rolls from a rough section onto a frictionless loop. The system includes cart, Earth, rough section, loop track, and air. The cart starts with 200 J of U_g, produces 30 J of E_th before the loop, and later has 90 J of U_g at the loop top. Which K bar is correct at the loop top?

AK = 110 J.

BK = 170 J.

CK = 290 J.

DK = 80 J.

Solution & Explanation:The total is 200 J. At the loop top, 30 J is thermal and 90 J is gravitational potential energy, leaving K = 200 - 30 - 90 = 80 J.

Problem 2Difficulty: Mastery

A pendulum bob is released from rest at height h. A student sets the zero of gravitational potential energy at the release height. At the lowest point, which bar chart is correct for the bob-Earth system with negligible air resistance?

AU_g must be zero at the lowest point because potential energy cannot be negative.

BK is zero at the lowest point because U_g is minimum.

CU_g is negative relative to the chosen zero and K is positive, with K + U_g equal to the initial total.

DThermal energy must increase because changing the reference level adds energy.

Solution & Explanation:Potential energy can be negative depending on the reference level. With zero set at release and no losses, the decrease in U_g below zero is balanced by positive K.

Problem 3Difficulty: Mastery

A train uses regenerative braking on level track. The system is the train only; the battery grid is outside the system. Which representation is best during braking?

AK decreases and all energy becomes U_g because the train is on level track.

BK decreases, and energy leaves the train system electrically, with some E_th also produced inside the train.

CK stays constant because regenerative braking conserves energy.

DElectrical energy enters the train system because braking charges an outside battery.

Solution & Explanation:For the train-only system, regenerative braking transfers energy out electrically to the external grid or battery, while some energy still becomes thermal inside the train.

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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 12.59 (NGSS HS-PS3-1, HS-PS3-2, HS-PS3-3, HS-PS3-5; CCSS HSN-Q.A, HSA-CED.A, HSF-IF, HSS-ID; AP Physics 1 Unit 3; AP Physics C: Mechanics energy enrichment; TX TEKS Physics §112.45(c) energy; FL SC.912.P.10.1, SC.912.P.10.2; VA PH.4; MA/CA/NY HS-PS3.).