Engineering & Physics CalcyZone Calculator
Momentum Calculator
Calculate linear momentum p = mv and the corresponding kinetic energy.
Momentum p
350 kg·m/s
Kinetic energy
875 J
Step-by-step working
- p = m v = 70 × 5 = 350 kg·m/s
- KE = p²/(2m) = 875 J
Mathematical Formula
p = m v; KE = p² / 2m.
Overview & Explanation
Momentum is mass times velocity and is conserved in collisions.
How It Works
- Multiply mass by velocity.
Practical Applications
- Collision analysis.
- Sports science.
Example 1: 70 kg runner at 5 m/s
350 kg·m/s.
1
Inputs
Mass (kg): 70 · Velocity (m/s): 5
= entered
2
Step 1
p = m v = 70 × 5 = 350 kg·m/s
3
Step 2
KE = p²/(2m) = 875 J
4
Momentum p
Result
= 350 kg·m/s
Example 2: 0.01 kg bullet at 400 m/s
Small mass, high speed.
1
Inputs
Mass (kg): 0.01 · Velocity (m/s): 400
= entered
2
Step 1
p = m v = 0.01 × 400 = 4 kg·m/s
3
Step 2
KE = p²/(2m) = 800 J
4
Momentum p
Result
= 4 kg·m/s
Frequently Asked Questions
Is momentum a vector?
Yes; direction matters. Enter negative velocity for the opposite direction.
Conservation?
Total momentum is conserved when no external force acts.
Momentum vs KE?
Momentum ∝ v, energy ∝ v².
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