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Solve the formula \( F= \) ma for \( m .^{*} \) A. \( m=F a \) B. \( m=F / a \) C. \( a=F m \) D. \( a=F / m \)

Ask by Blake Norris. in the United States
Mar 11,2025

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Answer

\( m = \frac{F}{a} \), choice B.

Solution

We start with the formula \[ F = ma \] and we need to solve for \( m \). 1. Divide both sides of the equation by \( a \) (assuming \( a \neq 0 \)): \[ \frac{F}{a} = \frac{ma}{a} \] 2. On the right side, \( \frac{ma}{a} \) simplifies to \( m \): \[ m = \frac{F}{a} \] Thus, the correct answer is: B. \( m=\frac{F}{a} \)

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To solve the formula \( F = ma \) for \( m \), we need to isolate \( m \) on one side of the equation. This can be done by dividing both sides by \( a \), resulting in \( m = \frac{F}{a} \). Therefore, the correct answer is B: \( m = F / a \). Now, if you've ever thought about how this formula plays out in real life, consider a car accelerating down the road. The force \( F \) could be the engine's power, while \( a \) represents how quickly it speeds up. If you know the force applied and the acceleration, you can easily find the mass of the car, which is handy for engineers designing new vehicles! And make sure to watch out for common mistakes! A frequent blunder is forgetting to divide both sides by the same quantity when rearranging equations. Just remember: isolating a variable requires you to do the same operation to both sides. Missteps in algebra can lead you to the wrong conclusion about the relationships between mass, force, and acceleration. Keep those math skills sharp!

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