Answer :
To find the mass of the crate, we can use the formula from Newton's Second Law of Motion, which is [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied to the object, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration of the object.
Here are the steps to solve the problem:
1. Identify the given values:
- Force ([tex]\( F \)[/tex]) = 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) = 8 meters per second squared
2. Use the formula to solve for mass ([tex]\( m \)[/tex]):
The formula can be rearranged to solve for mass:
[tex]\[
m = \frac{F}{a}
\][/tex]
3. Plug the given values into the formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
4. Calculate the mass:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
Thus, the mass of the crate is 25 kilograms.
Here are the steps to solve the problem:
1. Identify the given values:
- Force ([tex]\( F \)[/tex]) = 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) = 8 meters per second squared
2. Use the formula to solve for mass ([tex]\( m \)[/tex]):
The formula can be rearranged to solve for mass:
[tex]\[
m = \frac{F}{a}
\][/tex]
3. Plug the given values into the formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
4. Calculate the mass:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
Thus, the mass of the crate is 25 kilograms.
