Physics Formula Calculator

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Initial Velocity (vᵢ) in m/s

Final Velocity (vᶠ) in m/s

Time (t) in seconds

Mass (m) in kg

Acceleration (a) in m/s²

Force (F) in Newtons

Distance (d) in meters

Mass (m) in kg

Velocity (v) in m/s

Mass (m) in kg

Velocity (v) in m/s

Result:

Understanding Fundamental Physics Formulas

Physics is the cornerstone of our understanding of the physical universe. Whether you are a student or an engineer, mastering the basic formulas of kinematics and dynamics is essential. This calculator helps you solve for the most common variables in introductory physics.

1. Acceleration (a = Δv / t)

Acceleration is defined as the rate of change of velocity over time. If an object speeds up, slows down, or changes direction, it is accelerating. The standard unit is meters per second squared (m/s²).

Example: A car starts from rest (0 m/s) and reaches 30 m/s in 6 seconds.
Calculation: (30 – 0) / 6 = 5 m/s².

2. Newton's Second Law: Force (F = m * a)

Force is the product of an object's mass and its acceleration. This fundamental law explains how the motion of an object changes when a net force is applied. Force is measured in Newtons (N).

Example: How much force is needed to accelerate a 1,200 kg car at 2 m/s²?
Calculation: 1,200 * 2 = 2,400 N.

3. Work (W = F * d)

In physics, work is done when a force acts upon an object to cause a displacement. If there is no displacement, no work is done, regardless of the force applied. Work is measured in Joules (J).

Example: Pushing a box with 50 N of force over a distance of 5 meters.
Calculation: 50 * 5 = 250 J.

4. Kinetic Energy (KE = ½mv²)

Kinetic energy is the energy an object possesses due to its motion. It depends on the mass of the object and the square of its velocity. This means doubling the speed quadruples the energy.

Example: A 0.5 kg ball moving at 10 m/s.
Calculation: 0.5 * 0.5 * (10²) = 0.25 * 100 = 25 J.

Common Units in Physics

Mass: Kilograms (kg)
Velocity: Meters per second (m/s)
Acceleration: Meters per second squared (m/s²)
Force: Newtons (N)
Energy/Work: Joules (J)
Time: Seconds (s)