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What is the mass of a crate if a force of [tex][tex]$200 \, N$[/tex][/tex] causes it to accelerate at [tex][tex]$8 \, m/s^2$[/tex][/tex]?

(Formula: [tex]F = ma[/tex])

A. [tex]25 \, kg[/tex]

B. [tex]192 \, kg[/tex]

C. [tex]208 \, kg[/tex]

D. [tex]16 \, kg[/tex]



Answer :

GinnyAnswer
To find the mass of the crate, we'll use the formula [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass of the crate, and [tex]\( a \)[/tex] is the acceleration.

Given:
- Force ([tex]\( F \)[/tex]) = 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) = 8 meters per second squared

We need to solve for the mass ([tex]\( m \)[/tex]). The formula can be rearranged to solve for mass:

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

Substitute the given values into the equation:

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

Now, perform the division:

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

Therefore, the mass of the crate is [tex]\( 25 \)[/tex] kilograms.

Among the given options:
- [tex]\( 25 \, \text{kg} \)[/tex]
- [tex]\( 192 \, \text{kg} \)[/tex]
- [tex]\( 208 \, \text{kg} \)[/tex]
- [tex]\( 16 \, \text{kg} \)[/tex]

The correct answer is [tex]\( 25 \, \text{kg} \)[/tex].

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