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Answer :
To find the mass of the crate, we can use the formula for force, which is [tex]\( F = ma \)[/tex]. In this formula, [tex]\( F \)[/tex] represents the force applied, [tex]\( m \)[/tex] represents the mass, and [tex]\( a \)[/tex] represents the acceleration.
Here are the steps to find the solution:
1. Identify the Given Values:
- The force [tex]\( F \)[/tex] is given as 200 newtons (N).
- The acceleration [tex]\( a \)[/tex] is given as 8 meters per second squared ([tex]\( m/s^2 \)[/tex]).
2. Rearrange the Formula:
- We need to find the mass, so we rearrange the formula to solve for [tex]\( m \)[/tex].
- The formula becomes [tex]\( m = \frac{F}{a} \)[/tex].
3. Plug in the Numbers:
- Substitute the given values into the rearranged formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, m/s^2}
\][/tex]
4. Calculate the Mass:
- Perform the division:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
So, the mass of the crate is 25 kilograms. Therefore, the correct answer is 25 kg.
Here are the steps to find the solution:
1. Identify the Given Values:
- The force [tex]\( F \)[/tex] is given as 200 newtons (N).
- The acceleration [tex]\( a \)[/tex] is given as 8 meters per second squared ([tex]\( m/s^2 \)[/tex]).
2. Rearrange the Formula:
- We need to find the mass, so we rearrange the formula to solve for [tex]\( m \)[/tex].
- The formula becomes [tex]\( m = \frac{F}{a} \)[/tex].
3. Plug in the Numbers:
- Substitute the given values into the rearranged formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, m/s^2}
\][/tex]
4. Calculate the Mass:
- Perform the division:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
So, the mass of the crate is 25 kilograms. Therefore, the correct answer is 25 kg.
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