Choose language

Force, mass and acceleration calculator

With this calculator you can calculate the force, mass and acceleration from Newton's Second Law of Motion.

Force, mass and acceleration calculator

Force, mass and acceleration calculator - information

Force - a vector physical quantity that measures the physical interactions between bodies.

The SI unit of force is the newton [N]. The name of this unit comes from the name of the eminent physicist Isaac Newton.
In the weight system, the unit of force is kilogram-force [kgf] [1] (or [kG], otherwise kilopond [kp]).

Strength is 1 N if it gives a body mass 1 kg acceleration 1 m/s².

Force:
$$\vec{F} = m · \vec{a}$$

The second law of dynamics:
If the forces acting on the body do not balance each other (i.e. the resultant of forces $\vec{F}_{w}$ is different from zero), then the body moves with acceleration directly proportional to the resultant force, and inversely proportional to the weight of the body.

Acceleration:
$$\vec{a} = \frac{\vec{F}}{m}$$

Mass:
$$m = \frac{\vec{F}}{\vec{a}}$$

Examples:
1. How much force is needed to accelerate an object of mass 3 kg to 8 m/s²?

Data:
m = 3 kg
a = 8 m/s²

$$F = 3 · 8$$ $$F = 24$$

To accelerate an object weighing 3 kg to 8 m/s ² we need to use a force of 24 N.

2. What acceleration will an object weighing 15 kg be if we apply a force of 120 N to it?

Data:
F = 120 N
m = 15 kg

$$a = \frac{120}{15}$$ $$a = 8 $$

odp. An object weighing 15 kg to which we apply a force equal to 120 N will accelerate 8 m/s²

Users of this calculator also used

Rail Fence, Zig-Zag - encoder / decoder

Rail Fence, Zig-Zag cipher online encoder and decoder. Encrypt and decrypt any cipher created in a Rail Fence, Zig-Zag cipher.

Gravitational acceleration

With this calculator you can calculate the gravitational acceleration of a body pulled by another body. The calculator will also help to calculate the distance between the centers of the attracting bodies and the mass of the body producing the gravitational field and attracting the body for which the gravitational acceleration is given.

Kinetic energy calculator

With this calculator you can quickly calculate the kinetic energy of an object. You will also calculate mass from energy and velocity and speed given kinetic energy and mass.

How to convert cat age to human age? Cat age calculator

How to convert cat's age into human's age? How old is a cat in human years? How long does a cat live? Cat Age Calculator can help you with these and other questions. By giving the cat's age, we will find out how old he would be if he were a human. We can also check what age a cat would be at our age.

Density, mass, volume

With this calculator you can calculate the density of the substance, i.e. specific mass. The calculator will also help to determine the mass of the substance and the volume it occupies.

Profitability of investments: NPV (Net Present Value), PI (Profitability Index), IRR (Internal Rate of Return), DPP (Discounted Payback Period)

This calculator helps us check whether the planned investment will be profitable and whether the project should be accepted or rejected.
Thanks to the calculator, we can calculate:
NPV (Net Present Value) - sum of discounted net cash flows
PI (Profitability Index) - investment profitability
IRR (Internal Rate of Return) - internal rate of return
DPP (Discounted Payback Period) - discounted payback period
Value of discounted net cash flow for each period.

Solving Systems with Gaussian Elimination calculator

You can calculate with explanations any system of linear equations, both homogeneous and heterogeneous with any number of unknowns by Gaussian elimination method. As a result, apart from the solution, you will also receive a complete analysis and a step-by-step calculation.

Online calculator

M+

M-

log

10^x

asin

acos

atan

e^x

sin^-1

cos^-1

tan^-1

sin

cos

tan

√

x²

1/x

x^M

(

)

exp

M+

M-

sin