High School

What is the mass of a crate if a force of 200 N 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 begin with Newton's second law:

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

where
[tex]\( F \)[/tex] is the force,
[tex]\( m \)[/tex] is the mass, and
[tex]\( a \)[/tex] is the acceleration.

We are given:
- [tex]\( F = 200 \, \text{N} \)[/tex]
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]

To find the mass, we rearrange the formula:

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

Substituting the given values:

[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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