Force, mass and acceleration calculator

One of the most commonly used formulas in mathematics is that of calculate force from mass and acceleration of an object.

With our online calculator you will be able to obtain the value of any of these three magnitudes to save you unnecessary calculations.

Force equals mass times acceleration

Force equals mass times acceleration formula

In the calculation of the force we take into account the mass and acceleration of the object, however, there is one thing to take into account and they are. the units of each of the three variables Otherwise, we may obtain erroneous results.

  • The force is measured in Newtons (N).
  • The mass is measured in Kilograms (Kg).
  • The acceleration is quantified in meters per second squared (m/s).2).

Formulas

From here, we can use the following mathematical formula that gives rise to the title of this section:

Force = mass x acceleration

The above expression refers to the Newton's second law which states that if a force is applied on a body, that body will vary its velocity and therefore, it will have an acceleration.

In some exercises may not give us the value of acceleration and instead provide us with the final and initial velocity of the mass. In that case, the formula for calculating the force from the mass and velocity would be as follows:

Force = mass x [(vend - vinitial)/time] = mass x (v/t)

Remember that the acceleration is equal to the velocity times the time.

If we want to clear how much the acceleration is worth, the formula to use will be the following:

Acceleration = Force / mass

And finally, we can also calculate the value of the mass with the following expression:

Mass = force / acceleration

When several forces act on an object

Force, mass and acceleration

In the case that more than one force is applied on an object, then the mathematical formula must be applied individually for each of them but taking into account these cases:

  • Forces are applied in the same directionin this case, the total resultant force will be the sum of each of the individual forces.
  • Force with the same direction and opposite directionIn this hypothesis, we must subtract the intensities of the forces.
  • Perpendicular forces: it will be necessary to use the Pythagorean Theorem to know the direction and sense of the resultant force.

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