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Answer :
To find the mass of the crate, we can use the formula from physics: [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
Here's how you can find the mass step-by-step:
1. Identify the Given Values:
- Force ([tex]\( F \)[/tex]) = 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) = 8 meters per second squared ([tex]\( m/s^2 \)[/tex])
2. Rearrange the Formula:
The formula [tex]\( F = ma \)[/tex] can be rearranged to solve for mass ([tex]\( m \)[/tex]). To do this, divide both sides of the equation by the acceleration ([tex]\( a \)[/tex]):
[tex]\[
m = \frac{F}{a}
\][/tex]
3. Substitute the Given Values:
Plug the values for force and acceleration into the rearranged formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
4. Perform the Calculation:
Divide 200 by 8 to find the mass:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
So, the mass of the crate is 25 kilograms.
Here's how you can find the mass step-by-step:
1. Identify the Given Values:
- Force ([tex]\( F \)[/tex]) = 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) = 8 meters per second squared ([tex]\( m/s^2 \)[/tex])
2. Rearrange the Formula:
The formula [tex]\( F = ma \)[/tex] can be rearranged to solve for mass ([tex]\( m \)[/tex]). To do this, divide both sides of the equation by the acceleration ([tex]\( a \)[/tex]):
[tex]\[
m = \frac{F}{a}
\][/tex]
3. Substitute the Given Values:
Plug the values for force and acceleration into the rearranged formula:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
4. Perform the Calculation:
Divide 200 by 8 to find the mass:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
So, the mass of the crate is 25 kilograms.
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