Answer :
To find the mass of the crate, we can use Newton's second law of motion. The formula for this is:
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object (in Newtons, N).
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg).
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared, m/s²).
We are given:
- A force ([tex]\( F \)[/tex]) of 200 N.
- An acceleration ([tex]\( a \)[/tex]) of 8 m/s².
We need to find the mass ([tex]\( m \)[/tex]) of the crate.
Rearrange the formula to solve for mass ([tex]\( m \)[/tex]):
[tex]\[ m = \frac{F}{a} \][/tex]
Now substitute the given values into the formula:
[tex]\[ m = \frac{200\, \text{N}}{8\, \text{m/s²}} \][/tex]
Calculate:
[tex]\[ m = \frac{200}{8} \][/tex]
[tex]\[ m = 25 \][/tex]
The mass of the crate is 25 kg.
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object (in Newtons, N).
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg).
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared, m/s²).
We are given:
- A force ([tex]\( F \)[/tex]) of 200 N.
- An acceleration ([tex]\( a \)[/tex]) of 8 m/s².
We need to find the mass ([tex]\( m \)[/tex]) of the crate.
Rearrange the formula to solve for mass ([tex]\( m \)[/tex]):
[tex]\[ m = \frac{F}{a} \][/tex]
Now substitute the given values into the formula:
[tex]\[ m = \frac{200\, \text{N}}{8\, \text{m/s²}} \][/tex]
Calculate:
[tex]\[ m = \frac{200}{8} \][/tex]
[tex]\[ m = 25 \][/tex]
The mass of the crate is 25 kg.
