What is the mass of a box that requires a force of 27 N to be accelerated to 4.0 m/s²?

A. 6.8 kg***
B. 2.3 kg
C. 31 kg
D. 108 kg

To find the mass of the box, we need to use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a).

In this case, we are given the force (27 N) and the acceleration (4.0 m/s²). Therefore, we can rearrange the equation to solve for mass:

m = F / a

Substituting the given values:

m = 27 N / 4.0 m/s²

m ≈ 6.8 kg

So, the mass of the box is approximately 6.8 kg.

Therefore, the correct answer is A. 6.8 kg.