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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 solve the problem of finding the mass of the crate, we use the formula for force:

[tex]\[ F = ma \][/tex]

where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.

Given:
- The force [tex]\( F \)[/tex] is 200 Newtons,
- The acceleration [tex]\( a \)[/tex] is [tex]\( 8 \, \text{m/s}^2 \)[/tex].

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

[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]

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

Therefore, the mass of the crate is 25 kg.

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