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------------------------------------------------ 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 :

To find the mass of the crate, we can use the formula for force, which is [tex]\( F = ma \)[/tex]. In this formula:

- [tex]\( F \)[/tex] is the force applied, measured in newtons (N).
- [tex]\( m \)[/tex] is the mass of the object, measured in kilograms (kg).
- [tex]\( a \)[/tex] is the acceleration of the object, measured in meters per second squared ([tex]\( m/s^2 \)[/tex]).

We are given:

- The force [tex]\( F = 200 \)[/tex] N.
- The acceleration [tex]\( a = 8 \, m/s^2 \)[/tex].

We need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass by dividing both sides by the acceleration:

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

Substitute the given values:

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

Now, divide the force by the acceleration:

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

Therefore, the mass of the crate is 25 kg.