Answer :
To find the mass of the crate, we can use the formula for force, which is given by:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We need to solve for the mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's substitute the given values into the equation:
- Force ([tex]\( F \)[/tex]) is 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) is 8 meters per second squared
Substitute these values into the rearranged formula:
[tex]\[ m = \frac{200}{8} \][/tex]
Calculate the division:
[tex]\[ m = 25 \][/tex]
Therefore, the mass of the crate is 25 kilograms. The correct answer is 25 kg.
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We need to solve for the mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's substitute the given values into the equation:
- Force ([tex]\( F \)[/tex]) is 200 Newtons
- Acceleration ([tex]\( a \)[/tex]) is 8 meters per second squared
Substitute these values into the rearranged formula:
[tex]\[ m = \frac{200}{8} \][/tex]
Calculate the division:
[tex]\[ m = 25 \][/tex]
Therefore, the mass of the crate is 25 kilograms. The correct answer is 25 kg.
