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If you know the force applied to an object and measure its acceleration, which equation would you use to calculate the object's mass?

A. [tex] m = F a [/tex]

B. [tex] m = a F [/tex]

C. [tex] m = a / F [/tex]

D. [tex] m = F / a [/tex]

Sagot :

To calculate the mass (\(m\)) of an object when the force (\(F\)) applied to it and its acceleration (\(a\)) are known, you should use Newton's Second Law of Motion. Newton's Second Law states that the force acting on an object is equal to the mass of that object multiplied by its acceleration. This relationship is expressed by the equation:

[tex]\[ F = m \cdot a \][/tex]

To solve for mass (\(m\)), you need to rearrange this equation. Isolating \(m\) on one side of the equation gives:

[tex]\[ m = \frac{F}{a} \][/tex]

This equation tells us that the mass is equal to the force divided by the acceleration.

So, the correct equation to use is:

[tex]\[ m = \frac{F}{a} \][/tex]