Answer :
Certainly! To find the mass of the crate, we can use the formula that relates force, mass, and acceleration, which is:
[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 are given:
- The force [tex]\( F = 200 \, \text{N} \)[/tex]
- The acceleration [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. To do this, rearrange the formula [tex]\( F = ma \)[/tex] to solve for [tex]\( m \)[/tex]:
[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]
[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 (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We are given:
- The force [tex]\( F = 200 \, \text{N} \)[/tex]
- The acceleration [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. To do this, rearrange the formula [tex]\( F = ma \)[/tex] to solve for [tex]\( m \)[/tex]:
[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]
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
