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Practice & Assess

Energy Conservation

Track kinetic and potential energy transformations

KE0J

PE49J

Total49J

Velocity0.00 m/s

Height5.00 m

Max velocity9.90 m/s

Max height5.00 m

Track shape

Mass1 kg

Starting Height5 m

Initial Speed0.0 m/s

Friction (μ)μ = 0.00

Gravity

Conservation: In a closed system without friction, Total Energy (KE + PE) remains constant.

Transformation: As the ball falls, PE converts to KE. As it rises, KE converts back to PE.

Friction: Kinetic friction force is f = μN, so it increases with mass. Mechanical energy lost becomes thermal energy.

Kinetic Energy

K E = \frac{1}{2} m v^{2}

Potential Energy

P E = m g h

Energy Conservation (no friction)

E_{t o t a l} = K E + P E = constant

Energy Conservation (with friction)

E_{t o t a l} = K E + P E + E_{t h er ma l} = constant

Thermal Energy (friction)

E_{t h er ma l} = f s