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 :

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

[tex]\[ F = ma \][/tex]

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

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

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

Given in the problem:
- The force ([tex]\( F \)[/tex]) is 200 Newtons (N).
- The acceleration ([tex]\( a \)[/tex]) is 8 meters per second squared ([tex]\( m/s^2 \)[/tex]).

Now, plug 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 kilograms.