High School

A force of 99 N causes a box to accelerate at a rate of 11 m/s\(^2\). What is the mass of the box? (Ignore frictional effects.)

A. 1,100 kg
B. 1,100 N
C. 9.0 kg
D. 9.0 N

Answer :

F = ma

m = F/a = 99/11 = 9 kg

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:

  1. Write down the formula: F = ma.
  2. Plug in the known values: [tex]99\ N = m \times 11 m/s^2[/tex].
  3. 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.