Force Equations Formulas Calculator

Science - Physics

Problem:

Solve for acceleration given force and mass.
acceleration

Enter Inputs:

force (F)
mass (m)

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Solution:

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Solution In Other Units:

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Input Conversions:

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forceforce
massmass
accelerationacceleration

References - Books:

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


How to Calculate Acceleration from the Force Equation:

To solve for acceleration in the force equation, you need to rearrange the equation to isolate acceleration. The force equation is given as:

F = m * a

Where:
F is the force exerted on the object
m is the object's mass
a is the acceleration of the object

To solve for acceleration, you can divide both sides of the equation by the mass:

a = F / m

This equation shows that acceleration equals the force acting on the object divided by the object's mass. By plugging in the known values for force and mass, you can calculate the object's acceleration.


Example of Calculating Acceleration from the Force Equation:

Suppose there is an object with a force of 100 Newtons acting on it and a mass of 5 kilograms. We can use the force equation to find the acceleration of the object.

Given:
Force (F) = 100 N
Mass (m) = 5 kg

Using the rearranged equation:

a = F / m

Plugging in the values:

a = 100 N / 5 kg

a = 20 m/s^2

Hence, the acceleration of the object is 20 meters per second squared.

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