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:

[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 need to solve for [tex]\( m \)[/tex], the mass. We can rearrange the formula to solve for [tex]\( m \)[/tex] as follows:

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

Given:
- The force [tex]\( F \)[/tex] is 200 N (Newtons),
- The acceleration [tex]\( a \)[/tex] is 8 m/s².

Now, plug in the given values:

[tex]\[ m = \frac{200}{8} \][/tex]

[tex]\[ m = 25 \][/tex]

Therefore, the mass of the crate is 25 kg. So, the correct answer is 25 kg.