Difference between revisions of "Energy"

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The '''Energy''' page of the ''Reference Tables for Physical Science: Physics'' (2025 Edition) is the energy equation sheet: nine equations with the meaning of their variables. Kinetic and potential energy, work and total energy support [[HS-PS3-1]] and [[HS-PS3-2]]; power and percent efficiency support [[HS-PS3-3]]; ''Q'' = ''mc''Δ''T'' supports [[HS-PS3-4]]. Every equation has its own row anchor.
 
The '''Energy''' page of the ''Reference Tables for Physical Science: Physics'' (2025 Edition) is the energy equation sheet: nine equations with the meaning of their variables. Kinetic and potential energy, work and total energy support [[HS-PS3-1]] and [[HS-PS3-2]]; power and percent efficiency support [[HS-PS3-3]]; ''Q'' = ''mc''Δ''T'' supports [[HS-PS3-4]]. Every equation has its own row anchor.
  
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<div style="display:flex;flex-wrap:wrap;gap:16px 32px;align-items:flex-start;">
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<span id="kinetic-energy"></span><span id="gravitational-pe"></span><span id="spring-pe"></span><span id="work"></span><span id="net-work"></span><span id="total-energy"></span><span id="power"></span><span id="thermal-energy"></span><span id="efficiency"></span>[[File:Energy.png|760px|class=img-fluid|alt=Energy from the Physics Reference Tables (2025 Edition)]]
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<div style="min-width:0;">
 
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{| class="wikitable" style="text-align:center;"
 
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! Equations
 
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|- id="kinetic-energy"
 
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| style="padding:8px 16px;" | ''KE'' = ½''mv''<sup>2</sup>
 
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|- id="gravitational-pe"
 
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| style="padding:8px 16px;" | Δ''PE''<sub>g</sub> = ''mg''Δ''h''
 
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|- id="spring-pe"
 
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| style="padding:8px 16px;" | ''PE''<sub>s</sub> = ½''kx''<sup>2</sup>
 
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|- id="work"
 
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| style="padding:8px 16px;" | ''W'' = ''Fd''
 
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|- id="net-work"
 
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| style="padding:8px 16px;" | ''W''<sub>net</sub> = Δ''E''<sub>T</sub>
 
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|- id="total-energy"
 
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| style="padding:8px 16px;" | ''E''<sub>T</sub> = ''PE'' + ''KE'' + ''E''<sub>other</sub>
 
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|- id="power"
 
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| style="padding:8px 16px;" | ''P'' = <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">''W''</span><span style="display:block;padding:0 3px;">''t''</span></span> = <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">''Fd''</span><span style="display:block;padding:0 3px;">''t''</span></span> = ''F''<span style="text-decoration:overline;">''v''</span>
 
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|- id="thermal-energy"
 
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| style="padding:8px 16px;" | ''Q'' = ''mc''Δ''T''
 
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|- id="efficiency"
 
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| style="padding:8px 16px;" | % efficiency = <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">output</span><span style="display:block;padding:0 3px;">input</span></span> × 100
 
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|}
 
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</div>
 
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<div style="min-width:0;">
 
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{| class="wikitable"
 
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! Variables
 
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| ''c'' = specific heat capacity
 
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|-
 
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| ''d'' = displacement ''or'' distance
 
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|-
 
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| ''E''<sub>other</sub> = non-mechanical energy
 
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|-
 
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| ''E''<sub>T</sub> = total energy
 
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|-
 
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| ''F'' = force
 
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|-
 
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| ''g'' = acceleration due to gravity ''or'' gravitational field strength
 
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|-
 
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| ''h'' = height
 
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|-
 
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| ''k'' = spring constant
 
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|-
 
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| ''KE'' = kinetic energy
 
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|-
 
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| ''m'' = mass
 
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|-
 
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| ''P'' = power
 
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|-
 
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| ''PE'' = potential energy
 
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|-
 
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| ''PE''<sub>g</sub> = gravitational potential energy
 
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|-
 
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| ''PE''<sub>s</sub> = spring potential energy
 
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|-
 
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| ''Q'' = change in thermal energy
 
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|-
 
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| ''T'' = temperature
 
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|-
 
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| ''t'' = time interval
 
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|-
 
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| ''v'' = velocity ''or'' speed
 
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|-
 
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| <span style="text-decoration:overline;">''v''</span> = average velocity ''or'' average speed
 
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|-
 
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| ''W'' = work
 
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|-
 
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| ''W''<sub>net</sub> = net work
 
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|-
 
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| ''x'' = change in spring length from equilibrium position
 
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|-
 
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| Δ = change
 
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|}
 
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</div>
 
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</div>
 
  
 
== What the energy page shows ==
 
== What the energy page shows ==
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== Rows ==
 
== Rows ==
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Each row of the table has an anchor, so a link or an <code><nowiki>{{Rt}}</nowiki></code> chip ([[Template:Rt]]) can point at one equation or constant:
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A link or an <code><nowiki>{{Rt}}</nowiki></code> chip ([[Template:Rt]]) can point at one equation or constant with these anchors; each one lands on the table above:
 
* <code>kinetic-energy</code> – ''KE'' = ½''mv''<sup>2</sup>
 
* <code>kinetic-energy</code> – ''KE'' = ½''mv''<sup>2</sup>
 
* <code>gravitational-pe</code> – Δ''PE''<sub>g</sub> = ''mg''Δ''h''
 
* <code>gravitational-pe</code> – Δ''PE''<sub>g</sub> = ''mg''Δ''h''

Revision as of 17:40, 25 October 2026

⇱ All Physics Reference Tables (2025 Edition)
← Motion and Forces Waves and Electromagnetic Radiation →

The Energy page of the Reference Tables for Physical Science: Physics (2025 Edition) is the energy equation sheet: nine equations with the meaning of their variables. Kinetic and potential energy, work and total energy support HS-PS3-1 and HS-PS3-2; power and percent efficiency support HS-PS3-3; Q = mcΔT supports HS-PS3-4. Every equation has its own row anchor.

Energy from the Physics Reference Tables (2025 Edition)

What the energy page shows

Forms of energy. Kinetic energy KE = ½mv2, the change in gravitational potential energy ΔPEg = mgΔh (written as a change, since only differences in height matter, with g from the List of Physical Constants) and the spring potential energy PEs = ½kx2, where x is the stretch or compression from the equilibrium length. ET = PE + KE + Eother says the total energy of a system is the sum of its mechanical energy and everything else (thermal energy, sound, and so on); when Eother does not change, the mechanical energy is conserved, which is the heart of HS-PS3-1 and HS-PS3-2.

Work and power. W = Fd is the work done by a force along a displacement, and Wnet = ΔET the work–energy relationship: the net work done on a system equals its change in total energy. Power is work per time, or force times average velocity. Percent efficiency compares useful output to input (energy or power) and goes with the energy-conversion devices of HS-PS3-3.

Thermal energy. Q = mcΔT gives the thermal energy transferred when a mass m of a substance changes temperature by ΔT. Specific heat capacities are not listed on the 2025 tables (the 2006 edition did not list them either), so a question supplies the value it needs. The 2006 edition wrote the total energy as PE + KE + Q with Q as internal energy; the 2025 edition uses Eother for that and reserves Q for mcΔT.

Rows

A link or an {{Rt}} chip (Template:Rt) can point at one equation or constant with these anchors; each one lands on the table above:

  • kinetic-energy – KE = ½mv2
  • gravitational-pe – ΔPEg = mgΔh
  • spring-pe – PEs = ½kx2
  • work – W = Fd
  • net-work – Wnet = ΔET
  • total-energy – ET = PE + KE + Eother
  • power – P = W/t
  • thermal-energy – Q = mcΔT
  • efficiency – % efficiency

Regents Exam Questions

Released Regents questions that cannot be answered without this table, listed by exam. Each link opens the question with its answer key; the standard is the one the question assesses.

Exam Cluster Question Standard Row
June 2026 Physics Regents Pendulum Motion Question 2 HS-PS3-2 ΔPEg = mgΔh; ET = PE + KE + Eother
Heat Exchange Question 12 HS-PS3-3 % efficiency
Heat Exchange Question 13 HS-PS3-4 Q = mcΔT
Heat Exchange Question 14 HS-PS3-4 Q = mcΔT
From Astro Blaster to Supernova Question 36 HS-PS3-1 KE = ½mv2; ET = PE + KE + Eother
Physics sample clusters (spring 2025) Bungee Jumping Question 1 HS-PS3-1 ΔPEg = mgΔh
Bungee Jumping Question 4 HS-PS3-1 ET = PE + KE + Eother; ΔPEg = mgΔh