Mass from Equal Force

vCalc Reviewed

Last modified by

MichaelBartmess

on

Jul 24, 2020, 6:28:07 PM

Created by

MichaelBartmess

on

Mar 19, 2015, 11:49:39 PM

m_{2} = \frac{m_{1} \cdot a_{1}}{a_{2}}

$m_2 = ( m_1 * a_1 ) / a_2$

{Acceleration of Body}_{1}

$"Acceleration of Body"_1$

{Mass of Body}_{1}

$"Mass of Body"_1$

{Acceleration of Body}_{2}

$"Acceleration of Body"_2$

Tags

UUID

9b59cb11-ce92-11e4-a3bb-bc764e2038f2

This equation calculates the mass of an object from knowledge of the acceleration and mass of another object to which the same force has been applied.

This equation is based on Newton's Second Law of Motion, which describes that a net external force causes a body (mass) to accelerate and the realtionship between the force and the acceleration is stated as:

${\vec{F}}_{(net)} = m \cdot \vec{a}$ $vecF_"(net)" = m * veca$

And consequently if the force acting on two separate masses, $m_{1}$ $m_1$ and $m_{2}$ $m_2$ , the following relationship must hold:

$m_{1} \cdot a_{1} = m_{2} \cdot a_{2}$ $m_1 * a_1 = m_2 * a_2$

Or rearranging mathematically:

$m_{2} = m_{1} \cdot \frac{a_{1}}{a_{2}}$ $m_2 = m_1 * a_1 / a_2$

This equation, Mass from Equal Force, is used in 1 page

Calculators

• Physics: Newton's Laws by MichaelBartmess

Equations and Data Items

Collections

Comments
Attachments
Stats

No comments

No attachments

Last 12 Months

This site uses cookies to give you the best, most relevant experience. By continuing to browse the site you are agreeing to our use of cookies.

Mass from Equal Force

Datasets

Equations and Data Items

Calculators

Equations and Data Items

Collections