Answer :
To solve this problem, we need to find the mass of a crate when a force of 200 N causes it to accelerate at 8 m/s². We can use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (200 Newtons in this case),
- [tex]\( m \)[/tex] is the mass of the object (what we're trying to find),
- [tex]\( a \)[/tex] is the acceleration of the object (8 m/s² here).
To find the mass, we need to rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute the known values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Now perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (200 Newtons in this case),
- [tex]\( m \)[/tex] is the mass of the object (what we're trying to find),
- [tex]\( a \)[/tex] is the acceleration of the object (8 m/s² here).
To find the mass, we need to rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute the known values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Now perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
