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Calcimator

Physics Essentials Calculator

Complete classical mechanics calculator — force, velocity, acceleration, kinetic/potential energy, momentum, power, and projectile motion calculations.

About this calculator

This calculator covers seven foundational classical mechanics relationships that build on each other in a real physics course or engineering problem, letting you move between them without re-deriving unit conversions each time. Force mode solves Newton's second law (F = ma) for whichever variable is unknown and separately reports weight — the specific force gravity exerts on a given mass, using standard Earth gravity of 9.80665 m/s². Kinematics mode covers the standard constant-acceleration equations, solving for final velocity, distance, acceleration, or time depending on which three quantities you already know, and cross-checks the result using the independent v² = v₀² + 2ad relationship as a built-in consistency check.

Kinetic and potential energy modes each implement their textbook formulas (½mv² and mgh respectively) while adding practical extras: kinetic energy mode estimates a rough braking distance assuming a 0.7g deceleration, a reasonable ballpark for hard braking on dry pavement, and potential energy mode estimates the impact force of an object dropped and stopped abruptly over a short 0.1m distance, illustrating how a fall's energy translates into a large peak force when stopping happens quickly. Momentum mode extends beyond a single object's momentum into actual collision physics, computing outcomes for both a perfectly inelastic collision (objects stick together) and a perfectly elastic collision (both kinetic energy and momentum are conserved) from the same two starting objects. Projectile motion solves the classic two-dimensional trajectory problem — splitting launch velocity into horizontal and vertical components, then tracking time of flight, maximum height, and landing conditions — all while ignoring air resistance, which is the standard simplifying assumption for introductory projectile problems but diverges from a real trajectory for lightweight or high-speed objects where drag matters.

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Step 1 of 3

How to Use This Calculator
  1. Select a calculator mode: Force, Velocity & Acceleration, Kinetic Energy, Potential Energy, or Work & Power.
  2. Enter the known values for the selected mode in the appropriate units.
  3. Review the calculated result and the formula applied.
  4. Switch between modes to solve multiple related physics quantities in a single session.
  5. Results are shown in both SI (metric) and imperial units for convenience.

What each input means

Calculator Mode
Calculation mode to use.
Unit System
Measurement system (imperial or metric).
Mass
Mass of the object.
Acceleration
Rate of change in velocity.
Force
Applied force.
Time
Time duration.
Distance
Distance traveled or between points.
Height
Height in the selected unit.
Object 2 Velocity
Negative = opposite direction

How this is calculated

Formula

F = ma | KE = ½mv² | PE = mgh | p = mv | W = F × d | v = v₀ + at

Engine last updated . Checked against 9 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does switching to imperial units only seem to affect the Force mode?

The unit system toggle currently converts mass, acceleration, and force between metric and imperial specifically within Force mode, since that's where pound-mass and pound-force conversions are wired into the calculation. The other modes — kinematics, energy, momentum, power, and projectile motion — compute and display their results in SI units regardless of the toggle's position, so switching modes resets you to metric inputs and outputs.

Why does the calculator provide both an inelastic and an elastic collision result in Momentum mode?

These represent the two idealized extremes of how real collisions actually behave: a perfectly inelastic collision has the objects stick together afterward (like a car crash where bumpers lock), while a perfectly elastic collision has both objects bounce apart with total kinetic energy conserved (like idealized billiard balls). Most real-world collisions fall somewhere between these two extremes, which is why physics problems commonly compute both bounds to frame the range of realistic outcomes.

How accurate is the braking distance estimate in Kinetic Energy mode?

It assumes a flat 0.7g deceleration rate, a reasonable approximation for a hard, controlled stop on dry pavement, but actual braking distance varies substantially with road surface, tire condition, vehicle weight distribution, and whether anti-lock brakes are engaged. Treat this figure as an order-of-magnitude physics illustration of how kinetic energy relates to stopping distance, not a precise real-world braking prediction for a specific vehicle.

Does the Distance field in Velocity & Acceleration mode do anything?

No — Distance is collected but every solve option in that mode (final velocity, distance, acceleration, or time) recomputes distance itself from the initial velocity, acceleration, and time you enter, so whatever value you type into Distance is never read by the calculation.

Why does projectile motion ignore air resistance, and when does that assumption break down?

Ignoring air resistance (drag) keeps the equations solvable with simple algebra and trigonometry, which is why it's the standard assumption for introductory kinematics problems, and it stays reasonably accurate for dense, compact, relatively slow-moving objects like a thrown ball over a short distance. It breaks down significantly for lightweight or oddly shaped objects, high launch velocities, or long flight distances — a real baseball, golf ball, or bullet's actual trajectory diverges meaningfully from this idealized parabola once air resistance has enough time and speed to matter.

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