Answer :
To find the mass of the crate, we can use the formula for Newton's second law of motion:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared).
In the problem, we have:
- A force [tex]\( F \)[/tex] of 200 Newtons,
- An acceleration [tex]\( a \)[/tex] of 8 meters per second squared.
We need to solve for the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Calculate the mass:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, 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 of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared).
In the problem, we have:
- A force [tex]\( F \)[/tex] of 200 Newtons,
- An acceleration [tex]\( a \)[/tex] of 8 meters per second squared.
We need to solve for the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Calculate the mass:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
