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 :

Answer:

[tex] \huge{ \boxed{25 \: \bold{kg}}}[/tex]

Explanation:

The mass of the crate can be found by using the formula:

[tex]F = m \times a[/tex]

where:

F is the force in Newtons(N)

m is the mass in kg

a is the acceleration in m/s²

Since we're finding the mass we make m the subject, so we have:

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

From the question:

F = 200 N

a = 8 m/s²

[tex] \therefore \: m = \dfrac{200}{8} \\ = 25 \: kg[/tex]