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Newton's Laws of Motion

Explore the fundamental laws that govern motion and forces. Visualize how force, mass, and acceleration interact through Newton's revolutionary principles.

Select Newton's Law

Second Law (F = ma)

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass: Fnet = m × a

Parameters

1 kg50 kg
0 N200 N
0 (Frictionless)1 (High Friction)

Physics Data

Position
0.00 m
Velocity
0.00 m/s
Acceleration
0.00 m/s²
Net Force
30.38 N
Friction Force
19.62 N
Time
0.00 s

Key Formulas

Fnet = ma
Newton's Second Law
f = μN
Friction force (μ = coefficient, N = normal force)
v = v₀ + at
Velocity with constant acceleration
x = x₀ + v₀t + ½at²
Position with constant acceleration

Understanding Newton's Laws

1️⃣First Law - Law of Inertia

An object at rest stays at rest, and an object in motion stays in motion with constant velocity, unless acted upon by a net external force.

Example: A book on a table remains stationary until you push it. A hockey puck on ice keeps sliding until friction stops it.

2️⃣Second Law - F = ma

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Formula: Fnet = m × a

Example: Pushing a shopping cart - the harder you push (more force), the faster it accelerates. A heavier cart (more mass) accelerates less with the same force.

3️⃣Third Law - Action-Reaction

For every action, there is an equal and opposite reaction. Forces always occur in pairs.

Example: When you jump, you push down on the ground (action), and the ground pushes you up (reaction). When a rocket expels gas downward, the gas pushes the rocket upward.

How to Use This Visualizer

1.

Adjust the mass of the object to see how it affects acceleration (Second Law)

2.

Change the applied force to observe different accelerations

3.

Modify friction coefficient to see how resistance affects motion

4.

Watch the force arrows (vectors) showing applied force, friction, weight, and normal force

5.

Observe how net force determines acceleration: Fnet = Fapplied - ffriction

Real-World Applications

🚗 Vehicle Safety

Seatbelts and airbags work based on the first law - your body wants to keep moving when the car stops suddenly.

🚀 Rocket Propulsion

Rockets use the third law - expelling gas backward creates a reaction force that propels the rocket forward.

⚽ Sports

Kicking a soccer ball demonstrates the second law - the force you apply determines how fast the ball accelerates.

🛹 Friction Control

Ice skating and car brakes both manipulate friction - low friction for gliding, high friction for stopping.

Practice Problems

Problem 1: Calculate Acceleration

A 5 kg box is pushed with a force of 20 N on a frictionless surface. What is its acceleration?

Show Solution

Using F = ma:

20 N = 5 kg × a

a = 20 N / 5 kg

a = 4 m/s²

Problem 2: Net Force with Friction

A 10 kg object is pushed with 50 N. Friction force is 20 N. What is the net force and acceleration?

Show Solution

Net Force = Applied Force - Friction

Fnet = 50 N - 20 N = 30 N

Using F = ma:

30 N = 10 kg × a

a = 3 m/s²