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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 that relates force, mass, and acceleration:

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

where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).

To solve for the mass ([tex]\( m \)[/tex]), we need to rearrange the formula:

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

Now, let's plug in the given values:
- [tex]\( F = 200 \, \text{N} \)[/tex] (force)
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex] (acceleration)

Substitute these values into the formula:

[tex]\[ m = \frac{200}{8} \][/tex]

Now, perform the division:

[tex]\[ m = 25 \][/tex]

So, the mass of the crate is 25 kg.

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Rewritten by : Barada

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