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 find the mass of the crate, we can use the formula for force, which is [tex]\( F = ma \)[/tex]. Here, [tex]\( F \)[/tex] stands for force, [tex]\( m \)[/tex] stands for mass, and [tex]\( a \)[/tex] stands for acceleration.

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

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

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

Plug in the given values:

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

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

So, the mass of the crate is 25 kg.