College

What is the mass of a crate if a force of 200 N causes it to accelerate at 8 m/s²?

(Use the formula: [tex]F = ma[/tex])

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

Answer :

To find the mass of the crate, we can use the formula:

[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).

You're given:
- a force ([tex]\( F \)[/tex]) of 200 N,
- an acceleration ([tex]\( a \)[/tex]) of 8 m/s².

We need to find the mass ([tex]\( m \)[/tex]). To do this, rearrange the formula to solve for mass:

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

Substitute the given values into the equation:

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

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

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