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, you can use the formula:

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

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

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

2. Rearrange the Formula to Solve for Mass:

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

3. Substitute the Given Values:

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

4. Calculate the Mass:

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

Therefore, the mass of the crate is 25 kg.