Math Problem Statement

What happens to the force if the mass of an object is increased while the acceleration remains constant?

Solution

The question in the image asks:

What happens to the force if the mass of an object is increased while the acceleration remains constant?

According to Newton's Second Law of Motion: F=maF = ma Where:

  • FF is the force,
  • mm is the mass of the object,
  • aa is the acceleration.

From this formula, we can see that force (FF) is directly proportional to the mass (mm) when acceleration (aa) remains constant. Therefore, if the mass of the object increases, the force must increase as well to maintain the same acceleration.

The correct answer is:

  • The force increases.

The selected answer, "The force stays the same," is incorrect.

Would you like more details on this concept or clarification on any related topic? Here are five follow-up questions:

  1. What is the difference between mass and weight in terms of force?
  2. How does Newton's First Law of Motion relate to inertia?
  3. What happens to acceleration if the force is constant but the mass increases?
  4. How is force related to momentum?
  5. Can you describe an example where mass increases but force remains the same?

Tip: Always keep track of units when dealing with force, mass, and acceleration. In SI units, force is measured in newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s²).

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Math Problem Analysis

Mathematical Concepts

Newton's Second Law of Motion
Proportional Relationships

Formulas

F = ma (Force = mass × acceleration)

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 9-12