🎓 Physics • Forces
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Newton’s Second Law Calculator
Solves Newton's Second Law F_net = m·a accounting for friction coefficients and normal force.
📦 Newton’s Second Law with Friction Force
Solves net driving force and acceleration considering kinetic friction: F_net = F_app - μ·m·g
Resulting Acceleration
4.5483 m/s²
Normal Force (F_N = mg)490.33 N
Friction Force (f_k = μF_N)122.58 N
Net Driving Force227.42 N
Free Body Diagram (FBD) Force Vectors
What is Newton’s Second Law?
Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to net force and inversely proportional to mass.
Formula & Step-by-Step Calculation
a = F_net / m = (F_app - μ·m·g) / m
Net driving force divided by total mass.
Worked Step-by-Step Examples
Example 1
Pushing 50 kg box with 300 N on surface with μ = 0.2
Solution: Net a = 4.04 m/s²
• Friction = 0.2 × 50 × 9.81 = 98.1 N. Net F = 300 - 98.1 = 201.9 N. a = 201.9 / 50 = 4.04 m/s²
Common Real-World & Academic Use Cases
- ✓ Towing engineering
- ✓ Conveyor belt friction sizing
- ✓ Physics incline plane problems
How to Use the Newton’s Second Law Calculator
1
Input Mass, Applied Force, μ
Fill in variables.
2
Inspect Acceleration
Review normal force, friction, and net a.
Frequently Asked Questions
Q: What is the friction coefficient μ?
A dimensionless ratio describing the roughness between two contact surfaces.