Lesson 7 of 15

Kinetic Energy

Kinetic Energy

Kinetic energy is the energy an object possesses by virtue of its motion:

KE=12mv2KE = \frac{1}{2}mv^2

Units: Joules (J=kgm2/s2\text{J} = \text{kg} \cdot \text{m}^2/\text{s}^2).

Key Properties

  • Always non-negative (v2v^2 is always 0\geq 0)
  • Scales with mass linearly: doubling mass doubles KE
  • Scales with velocity squared: doubling speed quadruples KE

Work-Energy Theorem

The net work done on an object equals its change in kinetic energy:

Wnet=ΔKE=12mvf212mvi2W_{\text{net}} = \Delta KE = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2

This connects forces (work) to motion (energy) without needing to track the path taken.

Examples

mm (kg)vv (m/s)KE (J)
210100
5440
11050
70103500 ← 70 kg person at 36 km/h

Your Task

Implement kineticEnergy(m, v) returning kinetic energy in Joules.

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