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, you can use Newton's second law of motion. This law states that Force equals Mass multiplied by Acceleration (F = m * a).

Here's how you can find the mass:

1. Identify the given values:
- The force (F) applied to the crate is 200 Newtons (N).
- The acceleration (a) of the crate is 8 meters per second squared (m/s²).

2. Rearrange the formula:
- To find the mass (m), rearrange the formula to m = F / a.

3. Calculate the mass:
- Substitute the known values into the rearranged formula: m = 200 N / 8 m/s².

4. Perform the division:
- m = 25 kg.

Therefore, the mass of the crate is 25 kilograms.