Skip to main content
Skip to main content

What is Newton's Second Law?

Visual representation of Newton's Second Law showing different sized objects with varying forces applied
Illustration showing the relationship between force, mass, and acceleration

Newton's Second Law of Motion explains how force, mass, and acceleration are related. It tells us that the acceleration of an object depends on two things:

• The net force acting on the object (the total force after considering all pushes and pulls)
• The mass of the object (how much "stuff" it contains)

In simple terms: The harder you push something, the faster it moves (if the mass stays the same). But the more massive something is, the harder you have to push to get it moving at the same speed.

The Mathematical Formula

Diagram showing the mathematical relationship F=ma with force, mass, and acceleration labeled
Visual representation of the F=ma formula

Newton's Second Law can be expressed with a simple but powerful mathematical formula:

Force (F) = Mass (m) × Acceleration (a)
F = m × a

This means:

Force (F) is measured in Newtons (N)
Mass (m) is measured in kilograms (kg)
Acceleration (a) is measured in meters per second squared (m/s²)

The formula shows that if you increase the force while keeping the mass the same, the acceleration increases. If you increase the mass while keeping the force the same, the acceleration decreases.

1

Force

A push or pull on an object (measured in Newtons)

2

Mass

Amount of matter in an object (measured in kilograms)

3

Acceleration

How quickly velocity changes (measured in m/s²)

Real-World Examples

Collage of real-world examples of Newton's Second Law
Everyday examples of Newton's Second Law in action

Newton's Second Law is at work all around us every day. Here are some common examples:

Rocket Launch

The enormous force from rocket engines accelerates the massive rocket upward (F=ma)

Car Acceleration

Pressing the gas pedal increases force, making the car accelerate faster

Shopping Cart

An empty cart accelerates easily, while a full cart (more mass) needs more force

Other examples include:

Sports: Kicking a soccer ball - harder kick (more force) makes the ball accelerate faster
Bicycle: Pedaling harder makes you accelerate faster
Baseball: A heavier bat (more mass) requires more force to swing at the same speed
Elevator: You feel heavier when it accelerates upward (increased force)

Knowledge Check

Test your understanding of Newton's Second Law with these questions:

1. According to Newton's Second Law, what happens to acceleration if you double the force acting on an object (keeping mass the same)?
2. What is the correct formula for Newton's Second Law?
3. If you push a shopping cart with the same force, which will accelerate faster?
4. What unit is force measured in?
5. Why does a rocket need such powerful engines?

Frequently Asked Questions

Common questions about Newton's Second Law:

Physics Trivia

Amazing facts about Newton's Second Law and motion:

Copyright © 2025 Workybooks. Made with ♥ in California.