Answer :
Sure! Let's solve this step-by-step:
1. Identify the given values:
- Force (F) = 200 Newtons (N)
- Acceleration (a) = 8 meters per second squared (m/s²)
2. Identify the formula needed:
- We will use the formula [tex]\( F = ma \)[/tex], where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
3. Rearrange the formula to solve for mass (m):
- [tex]\( m = \frac{F}{a} \)[/tex]
4. Substitute the given values into the formula:
- [tex]\( m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \)[/tex]
5. Perform the division:
- [tex]\( m = 25 \, \text{kg} \)[/tex]
So, the mass of the crate is 25 kg.
This means that a force of 200 N causes a crate with a mass of 25 kg to accelerate at [tex]\( 8 \, \text{m/s}^2 \)[/tex].
1. Identify the given values:
- Force (F) = 200 Newtons (N)
- Acceleration (a) = 8 meters per second squared (m/s²)
2. Identify the formula needed:
- We will use the formula [tex]\( F = ma \)[/tex], where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
3. Rearrange the formula to solve for mass (m):
- [tex]\( m = \frac{F}{a} \)[/tex]
4. Substitute the given values into the formula:
- [tex]\( m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \)[/tex]
5. Perform the division:
- [tex]\( m = 25 \, \text{kg} \)[/tex]
So, the mass of the crate is 25 kg.
This means that a force of 200 N causes a crate with a mass of 25 kg to accelerate at [tex]\( 8 \, \text{m/s}^2 \)[/tex].
