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 :

To find the mass of the crate, we will use the formula for force:

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

where:
- [tex]\( F \)[/tex] is the force applied (200 N in this case),
- [tex]\( m \)[/tex] is the mass we want to find,
- [tex]\( a \)[/tex] is the acceleration (8 m/s² in this case).

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

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

Let's 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.