Math Problem Statement
answers the questions
Solution
Let's break down the image to solve the problem.
Given:
- (upward force due to air resistance)
- (downward gravitational force)
To find:
- The net force 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:
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 downward.
- The object is falling.
Would you like more details on any of these steps?
Relative questions:
- How do forces affect the motion of an object?
- What is the role of air resistance in free-falling objects?
- How would the forces change if the object were moving upward?
- How can we calculate acceleration from net force?
- 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.
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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
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