Physics Tool

Acceleration & Newton’s Second Law

Calculate force F = m × a and acceleration in m/s².

Last reviewed by the myCalculator Editorial Team

Input Parameters

Calculation Results

Acceleration (a)
5m/s²
Force (F)
50N (Newtons)
Mass (m)
10kg
Weight force on Earth (W = mg)
98.07N
Step-by-Step Calculation Solution
1.Newton's Second Law: F = m × a
2.Acceleration a = F / m = 50 N / 10 kg = 5 m/s²

Formula & How Acceleration & Newton’s Second Law Works

Mathematical Formula
F = m × a => a = F / m

Newton's second law states that force equals mass times acceleration, so a = F ÷ m. A 1,200 kg car with a net forward force of 3,000 N accelerates at 3,000 ÷ 1,200 = 2.5 m/s². At that rate it reaches 100 km/h (27.8 m/s) in 27.8 ÷ 2.5 = about 11.1 seconds. Net force means the force left after you subtract friction, drag and other resisting forces, so real acceleration is usually less than a simple engine-force figure suggests. Doubling the mass halves the acceleration for the same force, which is why a heavy vehicle takes longer to speed up and to stop.

How to Calculate Acceleration & Newton’s Second Law (Step-by-Step)
  1. Enter Object Mass (kg): Input your target parameter value.
  2. Enter Applied Force (N): Input your target parameter value.
  3. Apply Formula: Calculate using F = m × a => a = F / m.
  4. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is 1 Newton of force?

The force required to accelerate 1 kg at 1 m/s².

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