Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. sep develop models using pictures, labels, and arrows, model a box t…

Question

  1. sep develop models using pictures, labels, and arrows, model a box that has two forces acting on it, 12 n to the right and 4 n to the left. also show the net force on the box.

Explanation:

Step1: Define the forces

Let the force to the right be \(F_{1} = 12\ \text{N}\) and the force to the left be \(F_{2}=4\ \text{N}\).

Step2: Calculate the net force

Since the forces are in opposite directions, the net force \(F_{net}\) is \(F_{net}=F_{1}-F_{2}\).
Substitute the values: \(F_{net}=12 - 4\).
So, \(F_{net}=8\ \text{N}\) to the right.

For the model:

  • Draw a box.
  • Draw an arrow to the right from the box and label it \(12\ \text{N}\).
  • Draw an arrow to the left from the box and label it \(4\ \text{N}\).
  • Draw an arrow to the right (longer than the left - pointing arrow but shorter than the \(12\ \text{N}\) arrow) and label it \(8\ \text{N}\) (net force).

Answer:

The net force is \(8\ \text{N}\) to the right.