Acceleration using force and mass calculator

Through the acceleration using force and mass calculator, you can find the acceleration of an object when the force and mass values are known.

Acceleration2.5 m/s²0.2549 g

Force3 kN1,200 kg × 2.5 m/s²

Force in pounds-force674.4268 lbf

Force in kilograms-force305.9149 kgfthe mass that this force would weigh on Earth

Weight at this gravity11.768 kN1,200 kg × 9.80665 m/s²

Mass1,200 kg2,645.547 lb — mass, not weight

Acceleration in g0.2549 gmultiples of standard gravity — what a pilot, a rider or an accelerometer reads

Force as a fraction of weight0.2549×the same as the acceleration in g

Momentum gained per second3,000 kg·m/sforce is the rate of change of momentum, which is Newton's second law in its original form

The formula

F = ma; weight = mg

Mass and weight are different quantities

Mass measures how much matter there is and how strongly it resists acceleration; it is the same everywhere. Weight is the force gravity exerts on that mass, so it changes with location — the same object weighs about a sixth as much on the Moon and nothing at all in free fall, while its mass is unchanged.

The confusion is built into everyday units. A bathroom scale reads in kilograms but measures force, and a "kilogram-force" is the weight of one kilogram under standard gravity — 9.80665 newtons. Pounds are worse, serving as both a mass and a force depending on context, which is why the pound-force has its own name.

Newton originally stated the second law as force being the rate of change of momentum, which is the more general form: it still holds when mass changes, as it does for a rocket burning fuel, where F = ma alone would mislead.