Math Problem Statement

Identify which objects do not have a net force acting on them based on the provided motion data of 9 objects.

Solution

The table in your image provides data on the motion of 9 different objects. The goal is to identify which of these objects do not have a net force acting on them.

Here's a breakdown of the relevant physics concept:

  • According to Newton's First Law of Motion, an object has no net force acting on it if its velocity remains constant, which implies that acceleration must be zero.
  • In the table, the acceleration is provided for each object (columns labeled "Acceleration of object 7," "Acceleration of object 8," and "Acceleration of object 9").

To identify objects with no net force:

  1. Look at the acceleration values. If the acceleration is zero throughout the recorded time, that object is not experiencing any net force.

Let's analyze the table:

  • For Object 7, the acceleration is 69 m/s² at all time intervals.
  • For Object 8, the acceleration remains 0 m/s² throughout.
  • For Object 9, the acceleration values change at different time intervals (from -23 to -22 m/s²), indicating a changing velocity and thus a net force.

Conclusion:

  • Object 8 has no net force acting on it because its acceleration is constantly zero.

It seems you've checked the box for Object 8, which is correct. Object 7 and 9 both have net forces acting on them.

Would you like further details on this?


Here are 5 follow-up questions:

  1. How does constant acceleration relate to the presence of a net force?
  2. What can be inferred if the velocity of an object remains constant over time?
  3. How do we calculate net force using acceleration and mass?
  4. Can you describe a situation where an object experiences zero net force but is still moving?
  5. How does friction influence the net force on an object?

Tip: Always remember, if acceleration is zero, velocity is constant, and the net force is zero!

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Math Problem Analysis

Mathematical Concepts

Newton's First Law of Motion
Velocity
Acceleration

Formulas

F = ma (Newton's Second Law)
Acceleration = change in velocity / time

Theorems

Newton's First Law
Newton's Second Law

Suitable Grade Level

Grades 9-12