Kinetic and potential
Work out energy from motion or height, then see how potential energy turns into kinetic energy during a drop.
Calculator
Every input updates the result, visual proof, report, code snippets and printable worksheet in the browser.
Kinetic energy is 9 J.
Use it in code
mass=2
speed=3
height=10
g=9.80665
kinetic=0.5*mass*speed*speed
potential=mass*g*height
print(f"kinetic={kinetic:.6g}")
print(f"potential={potential:.6g}")
print(f"drop_speed={(2*g*height)**0.5:.6g}")The snippets use the current inputs and print the same headline result.
Print room
The worksheet records the inputs, formula, result and a short check prompt.
CalculationTime Phase 4 worksheet
Kinetic energy is 9 J.
| Input A | 2 |
|---|---|
| Input B / mode | 3 |
| Input C | 10 |
| Input D | 9.80665 |
| Energy | 9 J |
|---|---|
| kWh | 0.0000025 |
| Calories | 2.15105 |
| Drop speed | 14.0047 m/s |
Confirm units, constants, rounding and the real-world assumption before using the number outside this worksheet.
Method
Search intent: Best answer for kinetic energy or gravitational potential energy from mass, speed, height and gravity.
Nearest sibling: Different from speed-calculator because energy depends on mass and on speed squared or height in a gravity field.
Kinetic energy is one half times mass times speed squared. Doubling speed therefore quadruples kinetic energy, which is why the live bar chart responds so strongly to speed. Potential energy is mass times gravity times height, so a lifted object stores energy relative to the chosen reference height.
The falling-object visual connects the two formulas. At the top of a drag-free drop, energy is potential. As the object falls, potential decreases and kinetic increases. The total stays constant in the ideal model, and the impact speed comes from v = sqrt(2gh). A 10 metre Earth drop reaches about 14.0 m/s.
Everyday conversions are labelled as conversions, not guarantees. Joules to kWh and calories are exact enough for unit work, while any comparison object is only a scale aid. Use the source formula and units when the number matters.
The conservation visual gives the page its time-shaped proof. During an ideal fall, potential energy decreases as height decreases while kinetic energy rises with speed. The total is preserved only because the model excludes drag, heat, sound and deformation. That makes it a clean teaching instrument, and the limitations section prevents it from being mistaken for a crash model or a machine-efficiency estimate.
The page follows the CalculationTime five-beat pattern: name the inputs, state the intent, calculate the result, show proof, then make the output portable. The live diagram is not decoration; it is another view of the same state, so changing an input must visibly change the geometry. The code snippets are the second audit trail. They use the current numbers and standard libraries where available, which lets a reader repeat the result without trusting the browser UI alone. The report button turns the current state into plain Markdown, which is useful for classroom notes, lab records, engineering comments, tutoring answers and audit trails because it carries inputs, assumptions and results together instead of leaving a screenshot with no method. The worksheet does a different job: it slows the calculation down enough for a person to check units, copy the formula, circle assumptions and compare the output with an official document or source. Those two outputs are deliberately boring and portable because boring portable proof is what survives after the browser tab is closed.
The source boundary is also part of the design. Constants that are exact by definition, such as inch-to-metre, pound-to-kilogram, byte prefixes and standard gravity, are separated from approximations and rules of thumb. Security pages distinguish checksums, encodings and encryption because those words are often misused in search results. Physics pages name their model limits before giving a crisp answer because a clean drag-free arc or ideal energy transfer can be mathematically correct while still being incomplete for a real projectile, falling object or electrical assembly. This is why every page carries both a direct answer and a method section: the answer is fast, but the method tells the user when the answer is allowed to matter. A good calculator page also has to survive the second question, not just the first. After the headline result, users ask what changed, what was assumed, how to repeat it, and whether a neighbouring page would have answered a different intent. Phase 4 pages therefore keep the controls, visual, code, worksheet and sources close together so the user can trace the same state through several forms of proof without hunting around the site. That repeated structure is intentional: once a visitor learns where the proof, copy button and worksheet live on one technical calculator, the next technical page becomes faster to audit and harder to misuse.
Common mistakes
Every page names the units, constants and model boundary. Change those first if your real problem uses a different standard, gravity, encoding or electrical configuration.
The interface rounds for readability. Use the code panel or copied report when you need repeatable decimal places for a calculation log.
One URL should answer one intent. Use the page that matches the job: a universal converter for units, Ohm's law for circuits, hash generator for checksums, and Base64 for encoding.
Projectile motion ignores drag, hashes are not encryption, Base64 is not security, and electrical safety needs rated parts and competent review.
Sources
Questions people ask
No. These Phase 4 tools compute in the browser from local formula and reference tables.
The snippets are a second proof path. They use the current inputs and print the same headline result so the arithmetic can be checked outside the page.
Definitions such as inch, pound, atmosphere, byte prefixes and standard gravity are labelled from standards sources. Approximations are described as planning examples.
It copies Markdown with the page URL, input values, assumptions and displayed results, plus CSV for table-friendly results.
No. These pages explain and check calculations, but they are not a substitute for standards compliance, engineering review, lender documents or security practice.
Need this as JSON? See the CalculationTime API developer portal: https://byebilly.github.io/calculationtime-web/
Certification notes
Phase 4 browser-only calculator page with live proof, code snippets, report copy and worksheet. Reviewed 2026-09-22.
The page is an educational browser calculator. It does not replace standards documents, engineering judgement, financial documents, security review or professional advice.
Use the canonical URL, the page title “Energy Calculator - CalculationTime”, and the review date 2026-09-22.