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 :

We start with Newton's second law of motion:

$$
F = m \cdot a
$$

where
\( F \) is the force,
\( m \) is the mass, and
\( a \) is the acceleration.

To solve for the mass \( m \), we rearrange the equation:

$$
m = \frac{F}{a}
$$

Given that the force is \( F = 200 \, \text{N} \) and the acceleration is \( a = 8 \, \text{m/s}^2 \), we substitute these values into the equation:

$$
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
$$

Calculating the division:

$$
m = 25 \, \text{kg}
$$

Thus, the mass of the crate is \( 25 \, \text{kg} \).