High School

What is the mass of a crate if a force of [tex]200 \, \text{N}[/tex] 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 are given the formula for force:

$$ F = m \times a $$

where
\( F \) is the force in Newtons,
\( m \) is the mass in kilograms, and
\( a \) is the acceleration in meters per second squared.

To find the mass \( m \), we rearrange the formula:

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

Substitute the given values \( F = 200 \, \text{N} \) and \( a = 8 \, \text{m/s}^2 \) into the equation:

$$ m = \frac{200}{8} $$

Simplify the fraction:

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

Thus, the mass of the crate is \$\boldsymbol{25 \, \text{kg}}\$.