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]?

A. 25 kg
B. 192 kg
C. 208 kg
D. 16 kg

Answer :

To find the mass of the crate when a force is applied, we can use Newton's second law of motion, which states:

[tex]\[ \text{Force} = \text{mass} \times \text{acceleration} \][/tex]

In this case, we are given:
- Force = 200 Newtons (N)
- Acceleration = 8 meters per second squared (m/s²)

We want to find the mass. We can rearrange the formula to solve for mass:

[tex]\[ \text{mass} = \frac{\text{Force}}{\text{acceleration}} \][/tex]

Now, substitute the given values into the equation:

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

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

Therefore, the mass of the crate is 25 kilograms.