High School

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 :

We are given 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.

The problem states that [tex]$F = 200$[/tex] N and [tex]$a = 8$[/tex] m/s[tex]$^2$[/tex]. We want to find the mass [tex]$m$[/tex]. Rearranging the formula to solve for [tex]$m$[/tex], we have:

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

Substitute the given 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]$\boxed{25\ \text{kg}}$[/tex].

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