College

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 find the mass of the crate, we can use the formula for force:

[tex]\[ F = ma \][/tex]

where [tex]\( F \)[/tex] is the force applied (in Newtons), [tex]\( m \)[/tex] is the mass (in kilograms), and [tex]\( a \)[/tex] is the acceleration (in meters per second squared).

Here are the given values:

- Force, [tex]\( F = 200 \, \text{N} \)[/tex]
- Acceleration, [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]

We want to find the mass, [tex]\( m \)[/tex]. To do that, we need to rearrange the formula:

[tex]\[ m = \frac{F}{a} \][/tex]

Now, substitute the given values into the formula:

[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]

[tex]\[ m = 25 \, \text{kg} \][/tex]

Therefore, the mass of the crate is 25 kg.