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.
[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.
