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What is the mass of a crate if a force of 200 N causes it to accelerate at 8 m/s²? (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 a crate when a force of 200 N causes it to accelerate at 8 m/s², we can use Newton's Second Law of Motion. This law can be represented by the formula:

[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).

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

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

Let's use the given values:
- [tex]\( F = 200 \)[/tex] N,
- [tex]\( a = 8 \)[/tex] m/s².

Now, substitute the values into the formula:

[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s²}} \][/tex]

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

So, the mass of the crate is 25 kg.

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Rewritten by : Barada