Answer :
The mass of the box in question, calculated using Newton's second law of motion (F = ma), is 9.0 kg.
To determine the mass of the box, we can apply Newton's second law of motion, which is expressed as F = ma, where F is the force applied to the object, m is the mass of the object, and a is the acceleration of the object.
In this case, a force of 99 N causes the box to accelerate at [tex]11\ m/s^2[/tex]. The formula can be rearranged to solve for the mass (m) as follows:
- Write down the formula: F = ma.
- Plug in the known values: [tex]99\ N = m \times 11 m/s^2[/tex].
- Solve for m: [tex]m = \frac{F}{a} = \frac{99\ N}{11\ m/s^2} = 9\ kg[/tex].
Therefore, the mass of the box is 9.0 kg.