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]

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

We want to find the mass ([tex]\( m \)[/tex]), so we'll rearrange the formula:

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

Now, let's substitute the given values into the formula:
- The force ([tex]\( F \)[/tex]) is 200 N (Newtons),
- The acceleration ([tex]\( a \)[/tex]) is [tex]\( 8 \, \text{m/s}^2 \)[/tex].

Substitute these values into the formula:

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

Now, calculate:

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

Thus, the mass of the crate is 25 kg.