Newton's second law calculator to calculate force, acceleration and mass of an object.

Newton's second law of motion states that a net force acts on a body gives it an acceleration which is in the direction of the net force and has a magnitude given by mass x acceleration (m x a). Newton's 2nd law formula is $$\sum { \vec { F } } =m\vec { a } $$ Here a⃗ stands for acceleration, m for the mass, and ∑F⃗ for the net force on the object which is vector sum of the forces acting on it. Vector equation can be written in component form in rectangular coordinates as $$\sum { { F }_{ x } } =m{ a }_{ x }\quad ,\quad \sum { { F }_{ y } } =m{ a }_{ y }\quad ,\quad \sum { { F }_{ z } } =m{ a }_{ z }$$

The unit of the force is kg · m/s2, or "newton", N. The Second Law only holds in inertial frame of reference.

Newton's Second Law Calculator (Force Mass Acceleration Calculator):

Mass [m]
Acceleration [a]
Force [F]

Note: Use dot "." as decimal separator.


Mass [m]
Acceleration [a]
Force [F]

Note: Default rounding is 7 decimal places.

Newton's Second Law of Motion Example:

Calculate the net force needed to accelerate (a) a 1200-kg car at 1/4 g. Calculate the density of the object?

Solution:The car’s acceleration is 1/4 g = 1/4 x 9.81 m/s2 = 2.45 m/s2. The net force needed to achieve this acceleration according to Newton’s second law is

$$\sum { { F } } =\quad m{ a }\quad =\quad (1200kg)\quad (2.45m/{ s }^{ 2 })\quad =\quad 2940\quad N\quad \quad $$