High School

What is the mass of a crate if a force of 200 N causes it to accelerate at [tex]8 \, \text{m/s}^2[/tex]?

(Formula: [tex]F = ma[/tex])

A. 25 kg
B. 192 kg
C. 208 kg
D. 16 kg

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.