High School

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What is the mass of a crate if a force of 200 N 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]\( F = m \times a \)[/tex]. Here, [tex]\( F \)[/tex] represents the force applied, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.

We are given:
- The force ([tex]\( F \)[/tex]) is 200 Newtons.
- The acceleration ([tex]\( a \)[/tex]) is 8 meters per second squared ([tex]\( m/s^2 \)[/tex]).

We want to determine the mass ([tex]\( m \)[/tex]).

By rearranging the formula to solve for mass, we get:

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

Substituting the given values:

[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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