College

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 :

To solve this problem, we're given a force of 200 N (Newtons) and an acceleration of [tex]\(8 \, \text{m/s}^2\)[/tex]. We need to find the mass of the crate using the formula:

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

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

We're looking to find the mass [tex]\(m\)[/tex], so let's rearrange the formula:

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

Now, plug in the given values:

1. The force [tex]\(F\)[/tex] is 200 N.
2. The acceleration [tex]\(a\)[/tex] is [tex]\(8 \, \text{m/s}^2\)[/tex].

Substitute these values into the formula:

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

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

Therefore, the mass of the crate is 25 kg.