College

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 :

To solve for the mass of the crate, we start with the formula for force:

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

where:
- [tex]$F$[/tex] is the force,
- [tex]$m$[/tex] is the mass,
- [tex]$a$[/tex] is the acceleration.

We are given that [tex]$F = 200 \, \text{N}$[/tex] and [tex]$a = 8 \, \text{m/s}^2$[/tex]. Our goal is to find the mass [tex]$m$[/tex]. To do this, we can rearrange the formula to solve for [tex]$m$[/tex]:

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

Substituting the known values into the equation:

[tex]$$
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} = 25 \, \text{kg}
$$[/tex]

Thus, the mass of the crate is [tex]$25 \, \text{kg}$[/tex].

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