Answer :
To find the mass of the crate, we can use the formula for force, which is given by:
[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).
In this problem, we know:
- The force [tex]\( F \)[/tex] is 200 N.
- The acceleration [tex]\( a \)[/tex] is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
We need to find the mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the known values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Now, divide 200 by 8 to find the mass:
[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).
In this problem, we know:
- The force [tex]\( F \)[/tex] is 200 N.
- The acceleration [tex]\( a \)[/tex] is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
We need to find the mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the known values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Now, divide 200 by 8 to find the mass:
[tex]\[ m = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kg.
