Math Problem Statement

answers the questions

What is the net force acting on an object experiencing gravitational force (Fg) and air resistance force (Fair)?

Solution

Let's break down the image to solve the problem.

Given:

  • Fair=15NF_{\text{air}} = 15 \, \text{N} (upward force due to air resistance)
  • Fg=49NF_g = 49 \, \text{N} (downward gravitational force)

To find:

  • The net force ΣF\Sigma \vec{F} acting on the object.
  • The direction of the net force.
  • The situation that describes the object (hanging, being pushed across a surface, or falling).

Step 1: Calculate the net force.

Since the forces are in opposite directions (gravity downward, air resistance upward), the net force is the difference between these forces: ΣF=FgFair=49N15N=34N\Sigma \vec{F} = F_g - F_{\text{air}} = 49 \, \text{N} - 15 \, \text{N} = 34 \, \text{N}

Step 2: Direction of the net force.

Since the gravitational force is greater than the air resistance, the net force is directed downward.

Step 3: Choose the correct situation.

Given that the net force is downward and gravity is pulling more than air resistance is pushing up, this object is most likely falling.

Final Answer:

  • The net force is 34N34 \, \text{N} downward.
  • The object is falling.

Would you like more details on any of these steps?

Relative questions:

  1. How do forces affect the motion of an object?
  2. What is the role of air resistance in free-falling objects?
  3. How would the forces change if the object were moving upward?
  4. How can we calculate acceleration from net force?
  5. What conditions would make the forces on the object balanced?

Tip:

Always consider the direction of forces carefully, especially when they are acting in opposite directions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Physics
Forces and Motion

Formulas

Net Force: ΣF = Fg - Fair

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 9-10