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1. The force of an object [tex]\((f)\)[/tex] is equal to its mass [tex]\((m)\)[/tex] times its acceleration [tex]\((a)\)[/tex]. Thus, the formula for calculating force is [tex]\(f = ma\)[/tex].

Based on this information, which of the following equations would be used to calculate acceleration?

A. [tex]\(a = \frac{f}{m}\)[/tex]
B. [tex]\(a = f - m\)[/tex]
C. [tex]\(a = f + m\)[/tex]
D. [tex]\(a = f + m\)[/tex]



Answer :

GinnyAnswer
To solve for the acceleration from the given force equation, we need to rearrange the formula for force:

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

We are given four choices:
A. [tex]\( a=\frac{f}{m} \)[/tex]
B. [tex]\( a=f-m \)[/tex]
C. [tex]\( a=f+m \)[/tex]
D. [tex]\( a=f+m \)[/tex]

Here's how we solve it step-by-step:

1. We know the given equation is [tex]\( f = m \cdot a \)[/tex].
2. To find acceleration [tex]\( a \)[/tex], we need to isolate [tex]\( a \)[/tex] on one side of the equation.
3. We start by dividing both sides of the equation by [tex]\( m \)[/tex]:

[tex]\[ \frac{f}{m} = \frac{m \cdot a}{m} \][/tex]

4. Simplifying the right side:

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

Therefore, the correct equation for calculating acceleration is:

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

So, the answer is:

A. [tex]\( a = \frac{f}{m} \)[/tex]

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