Answer :
To find the mass of the crate, we can use the formula [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 to solve the problem step-by-step:
1. Identify the given values:
- Force ([tex]\( F \)[/tex]) = 200 N (Newtons)
- Acceleration ([tex]\( a \)[/tex]) = 8 m/s² (meters per second squared)
2. Rearrange the formula to solve for mass ([tex]\( m \)[/tex]):
- The original formula is [tex]\( F = ma \)[/tex].
- To solve for [tex]\( m \)[/tex], rearrange the formula to: [tex]\( m = \frac{F}{a} \)[/tex].
3. Plug the given values into the rearranged formula:
- [tex]\( m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \)[/tex].
4. Calculate the mass:
- Divide 200 by 8, resulting in 25.
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
Here's how to solve the problem step-by-step:
1. Identify the given values:
- Force ([tex]\( F \)[/tex]) = 200 N (Newtons)
- Acceleration ([tex]\( a \)[/tex]) = 8 m/s² (meters per second squared)
2. Rearrange the formula to solve for mass ([tex]\( m \)[/tex]):
- The original formula is [tex]\( F = ma \)[/tex].
- To solve for [tex]\( m \)[/tex], rearrange the formula to: [tex]\( m = \frac{F}{a} \)[/tex].
3. Plug the given values into the rearranged formula:
- [tex]\( m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \)[/tex].
4. Calculate the mass:
- Divide 200 by 8, resulting in 25.
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
