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, you can use the formula for force, which is:

[tex]\[ F = ma \][/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 of the object (in meters per second squared).

You're given that the force [tex]\( F \)[/tex] is 200 Newtons and the acceleration [tex]\( a \)[/tex] is 8 meters per second squared. You need to find the mass [tex]\( m \)[/tex].

1. Plug the known values into the formula:

[tex]\[ 200 = m \times 8 \][/tex]

2. To solve for [tex]\( m \)[/tex], divide both sides of the equation by the acceleration, 8:

[tex]\[ m = \frac{200}{8} \][/tex]

3. Calculate the result:

[tex]\[ m = 25 \][/tex]

Therefore, the mass of the crate is 25 kg. The correct answer is 25 kg.