Math Problem Statement

Newton’s second law of motion

Force (N) = mass (kg) x acceleration (m/s2)

Mass 22.5 kg Acceleration 10.0 m/s2

22.5 kg x 10.0 m/s2 = 225 N

Solution

According to Newton's second law of motion, the force exerted on an object is the product of its mass and its acceleration. You've applied the law correctly:

Force (N)=mass (kg)×acceleration (m/s2)\text{Force (N)} = \text{mass (kg)} \times \text{acceleration (m/s}^2)

Given:

  • Mass = 22.5 kg
  • Acceleration = 10.0 m/s²

The calculation becomes:

22.5kg×10.0m/s2=225N22.5 \, \text{kg} \times 10.0 \, \text{m/s}^2 = 225 \, \text{N}

So, the force is 225N225 \, \text{N}, which is correct.

Would you like to explore this concept in more detail, or do you have any other questions?

Here are 5 related questions you might find interesting:

  1. What is the formula for Newton's first law of motion?
  2. How does Newton's third law relate to the second law?
  3. What happens to the force if the mass doubles but acceleration stays constant?
  4. How do you calculate acceleration if you know the force and the mass?
  5. How does Newton’s second law apply to circular motion?

Tip: In SI units, mass is always in kilograms (kg), acceleration in meters per second squared (m/s²), and force in newtons (N). Always check units for consistency in calculations!

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Math Problem Analysis

Mathematical Concepts

Physics
Classical Mechanics
Forces and Motion

Formulas

Force = Mass x Acceleration (F = ma)

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 9-12