Rollercoaster Energy Conservation Model

Calculate the change in energy of a rollercoaster cart in a system when the change in other components and energy flows are known (HS-PS3-1).

System Parameters

Define the energy changes (ΔE) for components in a 3-part system. The total change in system energy must equal the energy transferred in/out.

Cart Kinetic Energy (ΔE_k)

100 J

Cart Potential Energy (ΔE_g)

-50 J

Energy Flow (E_in - E_out)

0 J

Positive = Energy added to system. Negative = Energy lost to surroundings.

Target Calculation

Find the change in Thermal Energy (ΔE_t) to balance the system:

ΔE_t = ?

Mathematical Model

Total ΔE_system = E_in/out

ΔE_k + ΔE_g + ΔE_t = E_flow

1. 100 + (-50) + ΔE_t = 0

2. 50 + ΔE_t = 0

3. ΔE_t = -50 J

Physical System: Rollercoaster

Cart height reflects Potential Energy (ΔE_g). Speed/blur reflects Kinetic Energy (ΔE_k).

Energy Changes Bar Chart (ΔE)

Model Assumptions & Limitations

All computational models have limitations. To complete this simulation, review the assumptions made by our simple 3-variable equation and identify which real-world energy transfers are missing.

Question: Does this computational model account for energy lost to sound or permanent track deformation?