Force Equations Formulas Calculator

Science - Physics

Solving for mass.


force (F)
acceleration (a)
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force (F)
= 0
= 0
acceleration (a)
= 0
= 0


mass (m)

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References - Books:

Tipler, Paul A.. 1995. Physics For Scientists and Engineers. Worth Publishers. 3rd ed.

How to Calculate Mass from the Force Equation:

Here is a step-by-step guide on how to calculate mass from the force equation:
  • Identify the values: Determine the force acting on the object (F) and the acceleration experienced by the object (a). Ensure the force is measured in Newtons (N) and the acceleration is measured in meters per second squared (m/s^2).
  • Write down the force equation: Recall Newton's second law of motion, F = m * a, where F denotes force, m denotes mass, and a denotes acceleration.
  • Rearrange the equation: We must isolate the m term to solve for mass. So, divide both sides of the equation by a: m = F / a.
  • Calculate mass: Substitute the known values for force (F) and acceleration (a) into the formula m = F / a and perform the division to calculate the mass (m). The resulting value will be in kilograms (kg), as mass is typically measured in this unit.

Example of Calculating Mass from the Force Equation:

Let's say we have an object with a force of 100 Newtons (N) acting upon it and an acceleration of 5 meters per second squared (m/s^2). We can calculate the object's mass using the force equation.
Force (F) = 100 N
Acceleration (a) = 5 m/s^2
Using the formula m = F / a, we can substitute the given values:
m = 100 N / 5 m/s^2
Performing the division calculation, we have:
m = 20 kg
Therefore, the object's mass in this example would be 20 kilograms (kg).
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