The formula [tex]F = ma[/tex] shows the relationship between force, mass, and acceleration. Solve this formula for [tex]a[/tex].

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

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

C. [tex]a = Fm[/tex]

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



Answer :

Certainly! Let's solve the given formula [tex]\( F = ma \)[/tex] for the acceleration [tex]\( a \)[/tex].

1. Start with the given formula:
[tex]\[ F = ma \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.

2. To solve for [tex]\( a \)[/tex], we need to isolate [tex]\( a \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by [tex]\( m \)[/tex]:
[tex]\[ \frac{F}{m} = \frac{ma}{m} \][/tex]

3. The [tex]\( m \)[/tex] on the right side cancels out:
[tex]\[ \frac{F}{m} = a \][/tex]

4. Thus, the equation for [tex]\( a \)[/tex] is:
[tex]\[ a = \frac{F}{m} \][/tex]

So, the correct formula for acceleration [tex]\( a \)[/tex] is [tex]\( \frac{F}{m} \)[/tex]. Hence, the correct option from the given choices is:
[tex]\[ a = \frac{F}{m} \][/tex]