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What is the mass of a crate if a force of [tex]200 \, \text{N}[/tex] causes it to accelerate at [tex]8 \, \text{m/s}^2[/tex]?

(Formula: [tex]F = ma[/tex])

A. 25 kg
B. 192 kg
C. 208 kg
D. 16 kg

Answer :

Sure! Here’s a detailed, step-by-step solution to the problem:

We are given the following information:
- Force ([tex]\( F \)[/tex]) = 200 N (Newtons)
- Acceleration ([tex]\( a \)[/tex]) = [tex]\(8 \, m/s^2\)[/tex] (meters per second squared)

We need to find the mass ([tex]\( m \)[/tex]) of the crate. The formula that relates these quantities is:

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

We can rearrange this formula to solve for mass ([tex]\( m \)[/tex]):

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

Plugging in the given values:

[tex]\[ m = \frac{200 \, \text{N}}{8 \, m/s^2} \][/tex]

Now, we perform the division:

[tex]\[ m = 25 \, \text{kg} \][/tex]

Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].

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Rewritten by : Barada