Answer :
Sure! Let's solve the problem step-by-step using the formula [tex]\( F = ma \)[/tex].
1. Identify the Given Values:
- The force ([tex]\( F \)[/tex]) applied to the crate is 200 newtons (N).
- The acceleration ([tex]\( a \)[/tex]) of the crate is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
2. Understand the Formula:
- The formula [tex]\( F = ma \)[/tex] relates force, mass, and acceleration.
- To find mass ([tex]\( m \)[/tex]), you can rearrange the formula to [tex]\( m = \frac{F}{a} \)[/tex].
3. Calculate the Mass:
- Substitute the given values into the formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
- Perform the division:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
Therefore, the mass of the crate is 25 kg.
1. Identify the Given Values:
- The force ([tex]\( F \)[/tex]) applied to the crate is 200 newtons (N).
- The acceleration ([tex]\( a \)[/tex]) of the crate is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
2. Understand the Formula:
- The formula [tex]\( F = ma \)[/tex] relates force, mass, and acceleration.
- To find mass ([tex]\( m \)[/tex]), you can rearrange the formula to [tex]\( m = \frac{F}{a} \)[/tex].
3. Calculate the Mass:
- Substitute the given values into the formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
- Perform the division:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
Therefore, the mass of the crate is 25 kg.
